[
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 18,
"question": "2(M)HCl \u0915\u0947 250 mL \u0915\u0947 \u0938\u093e\u0925 0.5(M)HCl \u0915\u0947 750 mL \u092e\u093f\u0932\u093e\u0928\u0947 \u0938\u0947 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0935\u093f\u0932\u092f\u0928 \u0915\u0940 \u092e\u094b\u0932\u0930\u0924\u093e \u0939\u094b\u0917\u0940 :",
"options": [
"0.875 M",
"1.00 M",
"1.75 M",
"0.975 M"
],
"answer": "1",
"original_question_num": "36"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 18,
"question": "\u0917\u0948\u0938\u0940\u092f \u0905\u0935\u0938\u094d\u0925\u093e \u0915\u0947 \u0932\u093f\u092f\u0947 \u092f\u0926\u093f \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u0917\u0924\u093f \u0915\u094b C*, \u0914\u0938\u0924 \u0917\u0924\u093f \u0915\u094b C \u0914\u0930 \u0935\u0930\u094d\u0917 \u092e\u093e\u0927\u094d\u092f \u0917\u0924\u093f \u0915\u094b C \u0926\u094d\u0935\u093e\u0930\u093e \u092a\u094d\u0930\u0938\u094d\u0924\u0941\u0924 \u0915\u093f\u092f\u093e \u091c\u093e\u090f, \u0924\u094b \u0905\u0923\u0941\u0913\u0902 \u0915\u0940 \u092c\u0921\u093c\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u0947 \u0932\u093f\u092f\u0947 \u0907\u0928 \u0917\u0924\u093f\u092f\u094b\u0902 \u0915\u0947 \u0905\u0928\u0941\u092a\u093e\u0924 \u0939\u0948\u0902 :",
"options": [
"C* : C : C = 1.225 : 1.128 : 1",
"C* : C : C = 1.128 : 1.225 : 1",
"C* : C : C = 1 : 1.128 : 1.225",
"C* : C : C = 1.225 : 1.128"
],
"answer": "3",
"original_question_num": "38"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 22,
"question": "\u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928 \u0920\u094b\u0938 \u0905\u0935\u0938\u094d\u0925\u093e \u092e\u0947\u0902 \u0938\u0939\u0938\u0902\u092f\u094b\u091c\u0915 \u0915\u094d\u0930\u093f\u0938\u094d\u091f\u0932 \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u0939\u094b\u0924\u093e \u0939\u0948?",
"options": [
"\u0906\u092f\u094b\u0921\u0940\u0928",
"\u0938\u093f\u0932\u093f\u0915\u0949\u0928",
"\u0938\u0932\u094d\u092b\u0930",
"\u092b\u0949\u0938\u094d\u092b\u094b\u0930\u0938"
],
"answer": "2",
"original_question_num": "47"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "biology",
"category_original_lang": "\u091c\u0940\u0935\u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 22,
"question": "\u092a\u094d\u0930\u0915\u093e\u0936 \u0938\u0902\u0936\u094d\u0932\u0947\u0937\u0923 \u092e\u0947\u0902 \u0917\u094d\u0932\u0942\u0915\u094b\u0938 \u0915\u0947 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0905\u0923\u0941 \u0915\u0947 \u0938\u0902\u0936\u094d\u0932\u0947\u0937\u0923 \u092e\u0947\u0902 \u0938\u092e\u094d\u092e\u093f\u0932\u093f\u0924 \u0939\u0948\u0902:",
"options": [
"ATP \u0915\u0947 18 \u0905\u0923\u0941",
"ATP \u0915\u0947 10 \u0905\u0923\u0941",
"ATP \u0915\u0947 8 \u0905\u0923\u0941",
"ATP \u0915\u0947 6 \u0905\u0923\u0941"
],
"answer": "1",
"original_question_num": "48"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 22,
"question": "\u0906\u0930\u094d\u0938\u0947\u0928\u093f\u0915 \u0938\u0932\u094d\u092b\u093e\u0907\u0921 \u0938\u094b\u0932 \u0915\u0947 \u0932\u093f\u092f\u0947 Na\u207a, Al\u00b3\u207a \u0914\u0930 Ba\u00b2\u207a \u0906\u092f\u0928\u094b\u0902 \u0935\u093e\u0932\u0947 \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0905\u092a\u0918\u091f\u094d\u092f\u094b\u0902 \u0915\u093e \u0938\u094d\u0915\u0902\u0926\u0928 \u092c\u0932 \u0928\u093f\u092e\u094d\u0928 \u0915\u094d\u0930\u092e \u092e\u0947\u0902 \u092c\u0922\u093c\u0924\u093e \u0939\u0948:",
"options": [
"Al\u00b3\u207a < Ba\u00b2\u207a < Na\u207a",
"Na\u207a < Ba\u00b2\u207a < Al\u00b3\u207a",
"Ba\u00b2\u207a < Na\u207a < Al\u00b3\u207a",
"Al\u00b3\u207a < Na\u207a < Ba\u00b2\u207a"
],
"answer": "2",
"original_question_num": "49"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 34,
"question": " x + 1 / x^(2/3) - x^(1/3) + 1 - x - 1 / x - x^(1/2) \u0915\u093e \u092a\u094d\u0930\u0938\u093e\u0930 \u092e\u0947\u0902 x \u0938\u0947 \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930 \u092a\u0926 \u0939\u0948 :",
"options": [
"4",
"120",
"210",
"310"
],
"answer": "3",
"original_question_num": "80"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 34,
"question": " y = \u221ax, 2y - x + 3 = 0 \u0924\u0925\u093e x-\u0905\u0915\u094d\u0937 \u0938\u0947 \u0918\u093f\u0930\u0947 \u0909\u0938 \u0915\u094d\u0937\u0947\u0924\u094d\u0930, \u091c\u094b \u092a\u094d\u0930\u0925\u092e \u091a\u0924\u0941\u0930\u094d\u0925\u093e\u0902\u0936 \u092e\u0947\u0902 \u0938\u094d\u0925\u093f\u0924 \u0939\u0948, \u0915\u093e (\u0935\u0930\u094d\u0917 \u0907\u0915\u093e\u0908 \u092e\u0947\u0902) \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u0939\u0948 :",
"options": [
"9",
"36",
"18",
"27/4"
],
"answer": "1",
"original_question_num": "81"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 34,
"question": " \u092e\u093e\u0928\u093e \u090f\u0915 n-\u092d\u0941\u091c\u093e\u0913\u0902 \u0935\u093e\u0932\u0940 \u0938\u092e\u092c\u0939\u0941\u092d\u0941\u091c \u0915\u0947 \u0936\u0940\u0930\u094d\u0937\u094b\u0902 \u0915\u094b \u092e\u093f\u0932\u093e\u0915\u0930 \u092c\u0928\u0928\u0947 \u0935\u093e\u0932\u0947 \u0938\u092d\u0940 \u0938\u0902\u092d\u0935 \u0924\u094d\u0930\u093f\u092d\u0941\u091c\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e Tn \u0939\u0948\u0964 \u092f\u0926\u093f Tn+1 - Tn = 10 \u0939\u0948, \u0924\u094b n \u0915\u093e \u092e\u093e\u0928 \u0939\u0948 :",
"options": [
"7",
"5",
"10",
"8"
],
"answer": "2",
"original_question_num": "82"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 14,
"question": " \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 q \u092e\u093e\u0928 \u0915\u0947 \u0926\u094b \u0906\u0935\u0947\u0936 x = -a \u0914\u0930 x = a \u092a\u0930 x - \u0905\u0915\u094d\u0937 \u092a\u0930 \u0930\u0916\u0947 \u0939\u0948\u0902\u0964 \u0938\u094d\u0935\u092f\u092e\u093e\u0928 m \u0914\u0930 \u0906\u0935\u0947\u0936 q0 = q/2 \u0915\u093e \u090f\u0915 \u0915\u0923 \u092e\u0942\u0932\u092c\u093f\u0928\u094d\u0926\u0941 \u092a\u0930 \u0930\u0916\u093e \u0939\u0948\u0964 \u092f\u0926\u093f \u0906\u0935\u0947\u0936 q0 \u0915\u094b y - \u0905\u0915\u094d\u0937 \u0915\u0947 \u0938\u093e\u0925 \u090f\u0915 \u0905\u0932\u094d\u092a-\u0935\u093f\u0938\u094d\u0925\u093e\u092a\u0928 (y << a) \u0926\u093f\u092f\u093e \u091c\u093e\u090f, \u0924\u092c \u0915\u0923 \u092a\u0930 \u0915\u093e\u0930\u094d\u092f\u0930\u0924 \u092a\u0930\u093f\u0923\u093e\u092e\u0940 \u092c\u0932 \u0907\u0938\u0915\u0947 \u0938\u092e\u093e\u0928\u0941\u092a\u093e\u0924\u0940 \u0939\u0948 :",
"options": [
"y",
"-y",
"1/y",
"-1/y"
],
"answer": "1",
"original_question_num": "28"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 7,
"question": "\u090f\u0915 \u0915\u092e\u0930\u0947 \u0915\u0940 \u0938\u092a\u094d\u0932\u093e\u0908 \u0935\u094b\u0932\u094d\u091f\u0924\u093e 120 V \u0939\u0948\u0964 \u0924\u093e\u0930\u094b\u0902 \u0915\u093e \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927 6 \u03a9 \u0939\u0948\u0964 \u090f\u0915 60 W \u092c\u0932\u094d\u092c \u092a\u0939\u0932\u0947 \u0938\u0947 \u0939\u0940 \u091c\u0932 \u0930\u0939\u093e \u0939\u0948\u0964 \u0907\u0938 \u092c\u0932\u094d\u092c \u0915\u0947 \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u092e\u0947\u0902 240 W \u0915\u093e \u0939\u0940\u091f\u0930 \u091c\u0932\u093e\u0928\u0947 \u092a\u0930 \u092c\u0932\u094d\u092c \u0915\u0940 \u0935\u094b\u0932\u094d\u091f\u0924\u093e \u092e\u0947\u0902 \u0915\u093f\u0924\u0928\u0940 \u0915\u092e\u0940 \u0906\u092f\u0947\u0917\u0940?",
"options": [
"\u0936\u0942\u0928\u094d\u092f \u0935\u094b\u0932\u094d\u091f",
"2.9 \u0935\u094b\u0932\u094d\u091f",
"13.3 \u0935\u094b\u0932\u094d\u091f",
"10.04 \u0935\u094b\u0932\u094d\u091f"
],
"answer": "4",
"original_question_num": "14"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 6,
"question": "\u090f\u0915 \u0921\u093e\u092f\u094b\u0921 \u0938\u0902\u0938\u0942\u091a\u0915 \u0915\u094b, 250 \u092a\u093f\u0915\u094b \u092b\u0948\u0930\u0921 \u0935\u093e\u0932\u0947 \u0938\u0902\u0927\u093e\u0930\u093f\u0924\u094d\u0930 \u0915\u0947 100 \u0915\u093f\u0932\u094b \u0913\u092e \u0915\u0947 \u0932\u094b\u0921 \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927 \u0915\u0947 \u0938\u093e\u0925 \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u0915\u094d\u0930\u092e \u092e\u0947\u0902 \u0932\u0917\u093e\u0915\u0930, 60% \u092e\u093e\u0921\u0941\u0932\u0947\u0936\u0928 \u0935\u093e\u0932\u0940 \u0906\u092f\u093e\u092e \u092e\u093e\u0921\u0941\u0932\u0947\u091f \u0924\u0930\u0902\u0917 \u0915\u093e \u092a\u0924\u093e \u0932\u0917\u093e\u0928\u0947 \u092e\u0947\u0902 \u092a\u094d\u0930\u092f\u0941\u0915\u094d\u0924 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948\u0964 \u0907\u0938\u0915\u0947 \u0926\u094d\u0935\u093e\u0930\u093e \u0905\u0927\u093f\u0915\u0924\u092e \u092e\u093e\u0921\u0941\u0932\u093f\u0924 \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u091c\u093f\u0938\u0947 \u091c\u094d\u091e\u093e\u0924 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948 :",
"options": [
"10.62 MHz",
"10.62 kHz",
"5.31 MHz",
"5.31 kHz"
],
"answer": "2",
"original_question_num": "12"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 6,
"question": "\u090f\u0915 \u0924\u0940\u0935\u094d\u0930\u0924\u093e I\u2080 \u0915\u0940 \u0905\u0927\u0942\u0935\u093f\u0924 \u092a\u094d\u0930\u0915\u093e\u0936 \u0915\u093e \u092a\u0941\u0902\u091c \u090f\u0915 \u092a\u094b\u0932\u0930\u093e\u092f\u0921 A \u0938\u0947 \u0917\u0941\u091c\u0930\u0924\u093e \u0939\u0948 \u0914\u0930 \u092b\u093f\u0930 \u0909\u0938\u0947 \u090f\u0915 \u0926\u0942\u0938\u0930\u0947 \u092a\u094b\u0932\u0930\u093e\u092f\u0921 B \u0938\u0947 \u0917\u0941\u091c\u093e\u0930\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 B \u0915\u093e \u092e\u0941\u0916\u094d\u092f \u0924\u0932 A \u0915\u0947 \u092e\u0941\u0916\u094d\u092f \u0924\u0932 \u0938\u0947 45\u00b0 \u0915\u093e \u0915\u094b\u0923 \u092c\u0928\u093e\u0924\u093e \u0939\u0948\u0964 \u0928\u093f\u0930\u094d\u0917\u0924 \u092a\u094d\u0930\u0915\u093e\u0936 \u0915\u0940 \u0924\u0940\u0935\u094d\u0930\u0924\u093e \u0939\u0948 :",
"options": [
"I\u2080",
"I\u2080/2",
"I\u2080/4",
"I\u2080/8"
],
"answer": "3",
"original_question_num": "13"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 15,
"question": "\u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0932\u092e\u094d\u092c\u093e\u0908 1 cm \u0915\u0947 \u0926\u094b \u091b\u094b\u091f\u0947 \u091b\u0921\u093c \u091a\u0941\u092e\u094d\u092c\u0915\u094b\u0902 \u0915\u0947 \u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u0906\u0918\u0942\u0930\u094d\u0923 \u0915\u094d\u0930\u092e\u0936\u0903 1.20 Am\u00b2 \u090f\u0935\u0902 1.00 Am\u00b2 \u0939\u0948\u0964 \u0907\u0928\u0915\u0947 N \u0927\u094d\u0930\u0941\u0935\u094b\u0902 \u0915\u094b \u0926\u0915\u094d\u0937\u093f\u0923 \u0915\u0940 \u0913\u0930 \u0907\u0902\u0917\u093f\u0924 \u0915\u0930 \u090f\u0915 \u0926\u0942\u0938\u0930\u0947 \u0915\u0947 \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u0907\u0928\u094d\u0939\u0947\u0902 \u0915\u094d\u0937\u0948\u0924\u093f\u091c \u092e\u0947\u091c \u092a\u0930 \u0930\u0916\u093e \u0917\u092f\u093e \u0939\u0948\u0964 \u0907\u0928\u0915\u0940 \u090f\u0915 \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u092e\u0927\u094d\u092f \u0930\u0947\u0916\u093e \u0939\u0948 \u0914\u0930 \u0907\u0928\u0915\u0947 \u092c\u0940\u091a \u0915\u0940 \u0926\u0942\u0930\u0940 20.0 cm \u0939\u0948\u0964 \u0907\u0928\u0915\u0947 \u0915\u0947\u0928\u094d\u0926\u094d\u0930\u094b\u0902 \u0915\u094b \u091c\u094b\u0921\u093c\u0928\u0947 \u0935\u093e\u0932\u0940 \u0930\u0947\u0916\u093e \u0915\u0947 \u092e\u0927\u094d\u092f \u092c\u093f\u0928\u094d\u0926\u0941 O \u092a\u0930 \u092a\u0930\u093f\u0923\u093e\u092e\u0940 \u0915\u094d\u0937\u0948\u0924\u093f\u091c \u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u092a\u094d\u0930\u0947\u0930\u0923 \u0915\u093e \u092e\u093e\u0928 \u0932\u0917\u092d\u0917 \u0939\u0948 :",
"options": [
"3.6\u00d710\u207b\u2075 Wb/m\u00b2",
"2.56\u00d710\u207b\u2074 Wb/m\u00b2",
"3.50\u00d710\u207b\u2074 Wb/m\u00b2",
"5.80\u00d710\u207b\u2074 Wb/m\u00b2"
],
"answer": "2",
"original_question_num": "29"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 35,
"question": "\u092f\u0926\u093f z \u090f\u0915 \u0910\u0938\u0940 \u0938\u092e\u094d\u092e\u093f\u0936\u094d\u0930 \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948 \u091c\u093f\u0938\u0915\u093e \u092e\u093e\u092a\u093e\u0902\u0915 \u090f\u0915 \u0907\u0915\u093e\u0908 \u0939\u0948 \u0924\u0925\u093e \u0915\u094b\u0923\u093e\u0902\u0915 \u03b8 \u0939\u0948, \u0924\u094b \u0915\u094b\u0923\u093e\u0902\u0915 \\(\\frac{1+z}{1+ \\overline{z}}\\) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"-\u03b8",
"\\(\\frac{\\pi}{2}\\) - \u03b8",
"\u03b8",
"\u03c0 - \u03b8"
],
"answer": "3",
"original_question_num": "83"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 35,
"question": "ABCD \u090f\u0915 \u0910\u0938\u093e \u0938\u092e\u0932\u0902\u092c \u0939\u0948 \u091c\u093f\u0938\u092e\u0947\u0902 AB \u0924\u0925\u093e CD \u0938\u092e\u093e\u0928\u093e\u0902\u0924\u0930 \u0939\u0948\u0902 \u0924\u0925\u093e BC\u22a5CD \u0939\u0948\u0964 \u092f\u0926\u093f \u2220ADB=\u03b8, BC=p \u0924\u0925\u093e CD=q \u0939\u0948, \u0924\u094b AB \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"\\(\\frac{(p^2 + q^2)sin\u03b8}{p cos\u03b8 + q sin\u03b8}\\)",
"\\(\\frac{p^2 + q^2 cos\u03b8}{p cos\u03b8 + q sin\u03b8}\\)",
"\\(\\frac{p^2 + q^2}{p^2 cos\u03b8 + q^2 sin\u03b8}\\)",
"\\(\\frac{(p^2 + q^2)sin\u03b8}{(p cos\u03b8 + q sin\u03b8)^2}\\)"
],
"answer": "1",
"original_question_num": "84"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 35,
"question": "\u092f\u0926\u093f P = \\(\\begin{bmatrix} 1 & \\alpha & 3 \\\\ 1 & 3 & 3 \\\\ 2 & 4 & 4 \\end{bmatrix}\\) \u090f\u0915 3\u00d73 \u0910\u091c\u0949\u0907\u0902\u091f A \u0915\u093e \u0938\u0939\u092f\u094b\u091c\u0915 \u0939\u0948 \u0924\u0925\u093e |A|=4 \u0939\u0948, \u0924\u094b \u03b1 \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"4",
"11",
"5",
"0"
],
"answer": "2",
"original_question_num": "85"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 23,
"question": "Ca, Ba, S, Se \u0914\u0930 Ar \u0915\u0947 \u0932\u093f\u092f\u0947 \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928 \u092a\u094d\u0930\u0925\u092e \u0906\u092f\u0928\u0928 \u090f\u0928\u094d\u0925\u0948\u0932\u094d\u092a\u0940 \u0915\u0947 \u092c\u0922\u093c\u0924\u0947 \u0915\u094d\u0930\u092e \u0915\u094b \u0938\u0939\u0940 \u0915\u094d\u0930\u092e \u092e\u0947\u0902 \u092a\u094d\u0930\u0938\u094d\u0924\u0941\u0924 \u0915\u0930\u0924\u093e \u0939\u0948 ?",
"options": [
"Ca < S < Ba < Se < Ar",
"S < Se < Ca < Ba < Ar",
"Ba < Ca < Se < S < Ar",
"Ca < Ba < S < Se < Ar"
],
"answer": "3",
"original_question_num": "50"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 23,
"question": "\u090f\u0915 \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928 \u0915\u0940 \u090a\u0930\u094d\u091c\u093e \u0915\u094b \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u092a\u094d\u0930\u0938\u094d\u0924\u0941\u0924 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 - E = -2.178 x 10^-18 (Z^2/n^2). \u092a\u094d\u0930\u0915\u093e\u0936 \u0915\u0940 \u0924\u0930\u0902\u0917\u0926\u0948\u0930\u094d\u0918\u094d\u092f \u0939\u093e\u0907\u0921\u094d\u0930\u094b\u091c\u0928 \u092a\u0930\u092e\u093e\u0923\u0941 \u092e\u0947\u0902 \u090f\u0915 \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928 \u0915\u094b n = 1 \u0938\u0947 n = 2 \u0938\u094d\u0924\u0930 \u092a\u0930 \u0909\u0924\u094d\u0924\u0947\u091c\u093f\u0924 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u092f\u0947 \u0906\u0935\u0936\u094d\u092f\u0915 \u0939\u094b\u0917\u0940 :",
"options": [
"1.214 x 10^-7 m",
"2.816 x 10^-7 m",
"6.500 x 10^-7 m",
"8.500 x 10^-7 m"
],
"answer": "1",
"original_question_num": "51"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 19,
"question": "\u090f\u0915 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0940 \u0926\u0930 \u0926\u094b \u0917\u0941\u0928\u0940 \u0939\u094b \u091c\u093e\u0924\u0940 \u0939\u0948 \u091c\u092c \u0907\u0938\u0915\u093e \u0924\u093e\u092a 300 K \u0938\u0947 310 K \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0910\u0938\u0940 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0940 \u0938\u0915\u094d\u0930\u093f\u092f\u0923 \u090a\u0930\u094d\u091c\u093e \u0939\u094b\u0917\u0940 :",
"options": [
"53.6 kJ mol\u207b\u00b9",
"48.6 kJ mol\u207b\u00b9",
"58.5 kJ mol\u207b\u00b9",
"60.5 kJ mol\u207b\u00b9"
],
"answer": "3",
"original_question_num": "39"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 19,
"question": "\u0906\u0923\u0935\u093f\u0915 \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 180 \u0935\u093e\u0932\u0947 \u090f\u0915 \u092f\u094c\u0917\u093f\u0915 \u0915\u093e \u091c\u092c CH\u2083COCl \u0915\u0947 \u0938\u093e\u0925 \u090f\u0938\u0940\u0932\u0940\u0915\u0930\u0923 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0924\u094b \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 390 \u0915\u0947 \u0938\u093e\u0925 \u090f\u0915 \u092f\u094c\u0917\u093f\u0915 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u094b\u0924\u093e \u0939\u0948\u0964 \u092a\u0939\u0932\u0947 \u0935\u093e\u0932\u0947 \u092f\u094c\u0917\u093f\u0915 \u0915\u0947 \u090f\u0915 \u0905\u0923\u0941 \u092e\u0947\u0902 \u090f\u092e\u093f\u0928\u094b \u0938\u092e\u0942\u0939 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948 :",
"options": [
"2",
"5",
"4",
"6"
],
"answer": "2",
"original_question_num": "40"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 19,
"question": "\u0928\u093f\u092e\u094d\u0928 \u0935\u094d\u092f\u0935\u0938\u094d\u0925\u093e\u0913\u0902 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928 \u0909\u0928\u0915\u0947 \u0938\u093e\u092e\u0928\u0947 \u0926\u093f\u090f \u0917\u090f \u0917\u0941\u0923\u0927\u0930\u094d\u092e \u0915\u0947 \u0938\u0939\u0940 \u0915\u094d\u0930\u092e \u0915\u094b \u092a\u094d\u0930\u0938\u094d\u0924\u0941\u0924 \u0928\u0939\u0940\u0902 \u0915\u0930\u0924\u093e \u0939\u0948 ?",
"options": [
"V\u00b2\u207a < Cr\u00b2\u207a < Mn\u00b2\u207a < Fe\u00b2\u207a : \u0905\u0928\u0941\u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u0935\u094d\u092f\u0935\u0939\u093e\u0930",
"Ni\u00b2\u207a < Co\u00b2\u207a < Fe\u00b2\u207a < Mn\u00b2\u207a : \u0906\u092f\u0928\u093f\u0915 \u0906\u0915\u093e\u0930",
"Co\u00b3\u207a < Fe\u00b3\u207a < Cr\u00b3\u207a < Sc\u00b3\u207a : \u091c\u0932\u0940\u092f \u0935\u093f\u0932\u092f\u0928 \u092e\u0947\u0902 \u0938\u094d\u0925\u093f\u0930\u0924\u093e",
"Sc < Ti < Cr < Mn : \u0909\u092a\u091a\u092f\u0928 \u0905\u0935\u0938\u094d\u0925\u093e\u0913\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901"
],
"answer": "1",
"original_question_num": "41"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 28,
"question": "\u092f\u0926\u093f \u0930\u0947\u0916\u093e\u090f\u0901 \\( \\frac{x-2}{1} = \\frac{y-3}{1} = \\frac{z-4}{-k} \\) \u0924\u0925\u093e \\( \\frac{x-1}{k} = \\frac{y-4}{2} = \\frac{z-5}{1} \\) \u0938\u092e\u0924\u0932\u0940\u092f \u0939\u0948\u0902, \u0924\u094b k \u0915\u093e :",
"options": [
"\u0915\u094b\u0908 \u092d\u0940 \u092e\u093e\u0928 \u0938\u0902\u092d\u0935 \u0939\u0948\u0964",
"\u0915\u0947\u0935\u0932 \u090f\u0915 \u092e\u093e\u0928 \u0938\u0902\u092d\u0935 \u0939\u0948\u0964",
"\u0915\u0947\u0935\u0932 \u0926\u094b \u092e\u093e\u0928 \u0938\u0902\u092d\u0935 \u0939\u0948\u0902\u0964",
"\u0915\u0947\u0935\u0932 \u0924\u0940\u0928 \u092e\u093e\u0928 \u0938\u0902\u092d\u0935 \u0939\u0948\u0902\u0964"
],
"answer": "3",
"original_question_num": "64"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 28,
"question": "\u092f\u0926\u093f \u0938\u0926\u093f\u0936 \\( \\overrightarrow{AB} = 3\\hat{i} + 4\\hat{k} \\) \u0924\u0925\u093e \\( \\overrightarrow{AC} = 5\\hat{i} - 2\\hat{j} + 4\\hat{k} \\) \u090f\u0915 \u0924\u094d\u0930\u093f\u092d\u0941\u091c ABC \u0915\u0940 \u092d\u0941\u091c\u093e\u090f\u0901 \u0939\u0948\u0902, \u0924\u094b A \u0938\u0947 \u0939\u094b\u0915\u0930 \u091c\u093e\u0924\u0940 \u0939\u0941\u0908 \u092e\u093e\u0927\u094d\u092f\u093f\u0915\u093e \u0915\u0940 \u0932\u092e\u094d\u092c\u093e\u0908 \u0939\u0948 :",
"options": [
"\\( \\sqrt{18} \\)",
"\\( \\sqrt{72} \\)",
"\\( \\sqrt{33} \\)",
"\\( \\sqrt{45} \\)"
],
"answer": "4",
"original_question_num": "65"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 28,
"question": "\u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u0938\u0902\u0916\u094d\u092f\u093e k, \u091c\u093f\u0938\u0915\u0947 \u0932\u093f\u090f [0, 1] \u092e\u0947\u0902 \u0938\u092e\u0940\u0915\u0930\u0923 \\( 2x^3 + 3x + k = 0 \\) \u0915\u0947 \u0926\u094b \u092d\u093f\u0928\u094d\u0928 \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u092e\u0942\u0932 \u0939\u0948\u0902,",
"options": [
"1 \u0924\u0925\u093e 2 \u0915\u0947 \u092c\u0940\u091a \u092e\u0947\u0902 \u0938\u094d\u0925\u093f\u0924 \u0939\u0948\u0964",
"2 \u0924\u0925\u093e 3 \u0915\u0947 \u092c\u0940\u091a \u0938\u094d\u0925\u093f\u0924 \u0939\u0948\u0964",
"-1 \u0924\u0925\u093e 0 \u0915\u0947 \u092c\u0940\u091a \u0938\u094d\u0925\u093f\u0924 \u0939\u0948\u0964",
"\u0915\u093e \u0905\u0938\u094d\u0924\u093f\u0924\u094d\u0935 \u0928\u0939\u0940\u0902 \u0939\u0948\u0964"
],
"answer": "3",
"original_question_num": "66"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 1,
"question": "\u0932\u092e\u094d\u092c\u093e\u0908 L, \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 M \u0914\u0930 \u0905\u0928\u0941\u092a\u094d\u0930\u0938\u094d\u0925 \u092a\u0930\u093f\u091b\u0947\u0926 \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 A \u0935\u093e\u0932\u0947 \u090f\u0915 \u0938\u092e\u093e\u0928 \u092c\u0947\u0932\u0928 \u0915\u094b \u0907\u0938\u0915\u0940 \u0932\u092e\u094d\u092c\u093e\u0908 \u090a\u0930\u094d\u0927\u094d\u0935\u093e\u0927\u0930 \u0930\u0916\u0924\u0947 \u0939\u0941\u090f \u090f\u0915 \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928\u0930\u0939\u093f\u0924 \u0915\u092e\u093e\u0928\u0940 \u0926\u094d\u0935\u093e\u0930\u093e \u090f\u0915 \u0928\u093f\u092f\u0924 \u092c\u093f\u0902\u0926\u0941 \u0938\u0947 \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0932\u091f\u0915\u093e\u092f\u093e \u0917\u092f\u093e \u0939\u0948 \u0915\u093f \u0938\u093e\u092e\u094d\u092f\u093e\u0935\u0938\u094d\u0925\u093e \u0938\u094d\u0925\u093f\u0924\u093f \u092e\u0947\u0902 \u0907\u0938\u0915\u093e \u0906\u0927\u093e \u092d\u093e\u0917 \u0926\u094d\u0930\u0935 \u03c3 \u0915\u0947 \u0926\u094d\u0930\u0935 \u092e\u0947\u0902 \u0921\u0942\u092c\u093e \u0930\u0939\u0947\u0964 \u091c\u092c \u092f\u0939 \u0938\u093e\u092e\u094d\u092f\u093e\u0935\u0938\u094d\u0925\u093e \u092e\u0947\u0902 \u0939\u0948, \u0924\u092c \u0915\u092e\u093e\u0928\u0940 \u092e\u0947\u0902 \u0935\u093f\u0938\u094d\u0924\u093e\u0930 x\u2080 \u0939\u0948:",
"options": [
"Mg/k",
"Mg/k (1 - LA\u03c3/M)",
"Mg/k (1 - LA\u03c3/2M)",
"Mg/k (1 + LA\u03c3/M)"
],
"answer": "3",
"original_question_num": "1"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 24,
"question": "\u0938\u0902\u0915\u094d\u0930\u092e\u0923 \u0924\u0924\u094d\u0935\u094b\u0902 \u0915\u0947 \u092a\u094d\u0930\u0925\u092e \u0936\u094d\u0930\u0947\u0923\u0940 \u0915\u0947 \u090f\u0915 \u0915\u0947 \u092c\u093e\u0926 \u090f\u0915 \u0906\u0928\u0947 \u0935\u093e\u0932\u0947 \u091a\u093e\u0930 \u0938\u0926\u0938\u094d\u092f \u092a\u0930\u092e\u093e\u0923\u0941 \u0915\u094d\u0930\u092e\u093e\u0902\u0915 \u0915\u0947 \u0938\u093e\u0925 \u0928\u0940\u091a\u0947 \u0926\u093f\u090f \u091c\u093e\u0924\u0947 \u0939\u0948\u0902\u0964 \u0907\u0928\u092e\u0947\u0902 \u0915\u093f\u0938\u0915\u093e E0 M3+/M2+ \u092e\u093e\u0928 \u0909\u091a\u094d\u091a\u0924\u092e \u0939\u094b\u0917\u093e?",
"options": [
"Cr(Z = 24)",
"Mn(Z = 25)",
"Fe(Z = 26)",
"Co(Z = 27)"
],
"answer": "4",
"original_question_num": "53"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 32,
"question": "lim x\u21920 (1 - cos 2x)(3 + cos x) / x tan 4x \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"-1/4",
"1/2",
"1",
"2"
],
"answer": "4",
"original_question_num": "75"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 32,
"question": "\u0915\u0925\u0928 - I : \u0938\u092e\u093e\u0915\u0932\u0928 \u03c0/6 \u0938\u0947 \u03c0/3 \u222b dx / 1 + \u221atanx \u0915\u093e \u092e\u093e\u0928 \u03c0/6 \u0939\u0948\u0964",
"options": [
"\u0915\u0925\u0928 - I \u0938\u0924\u094d\u092f \u0939\u0948; \u0915\u0925\u0928 - II \u0938\u0924\u094d\u092f \u0939\u0948; \u0915\u0925\u0928 - II \u0915\u0925\u0928 - I \u0915\u0940 \u0938\u0939\u0940 \u0935\u094d\u092f\u093e\u0916\u094d\u092f\u093e \u0939\u0948\u0964",
"\u0915\u0925\u0928 - I \u0938\u0924\u094d\u092f \u0939\u0948; \u0915\u0925\u0928 - II \u0938\u0924\u094d\u092f \u0939\u0948; \u0915\u0925\u0928 - II \u0915\u0925\u0928 - I \u0915\u0940 \u0938\u0939\u0940 \u0935\u094d\u092f\u093e\u0916\u094d\u092f\u093e \u0928\u0939\u0940\u0902 \u0939\u0948\u0964",
"\u0915\u0925\u0928 - I \u0938\u0924\u094d\u092f \u0939\u0948, \u0915\u0925\u0928 - II \u0905\u0938\u0924\u094d\u092f \u0939\u0948\u0964",
"\u0915\u0925\u0928 - I \u0905\u0938\u0924\u094d\u092f \u0939\u0948, \u0915\u0925\u0928 - II \u0938\u0924\u094d\u092f \u0939\u0948\u0964"
],
"answer": "4",
"original_question_num": "76"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 33,
"question": "\u0926\u0940 \u0917\u0908 x^2/16 + y^2/9 = 1 \u0915\u0940 \u0928\u093e\u092d\u093f\u092f\u094b\u0902 \u0938\u0947 \u0939\u094b\u0915\u0930 \u091c\u093e\u0928\u0947 \u0935\u093e\u0932\u0947 \u0909\u0938 \u0935\u0943\u0924\u094d\u0924, \u091c\u093f\u0938\u0915\u093e \u0915\u0947\u0902\u0926\u094d\u0930 (0, 3) \u0939\u0948, \u0915\u093e \u0938\u092e\u0940\u0915\u0930\u0923 \u0939\u0948 :",
"options": [
"x^2 + y^2 - 6y - 7 = 0",
"x^2 + y^2 - 6y + 7 = 0",
"x^2 + y^2 - 6y - 5 = 0",
"x^2 + y^2 - 6y + 5 = 0"
],
"answer": "1",
"original_question_num": "77"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 33,
"question": "\u090f\u0915 \u092c\u0939\u0941\u0935\u093f\u0915\u0932\u094d\u092a\u0940 \u092a\u0930\u0940\u0915\u094d\u0937\u093e \u092e\u0947\u0902 5 \u092a\u094d\u0930\u0936\u094d\u0928 \u0939\u0948\u0902\u0964 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092a\u094d\u0930\u0936\u094d\u0928 \u0915\u0947 3 \u0935\u0948\u0915\u0932\u094d\u092a\u093f\u0915 \u0909\u0924\u094d\u0924\u0930 \u0939\u0948\u0902, \u091c\u093f\u0928\u092e\u0947\u0902 \u0938\u0947 \u0915\u0947\u0935\u0932 \u090f\u0915 \u0938\u0939\u0940 \u0939\u0948\u0964 \u090f\u0915 \u0935\u093f\u0926\u094d\u092f\u093e\u0930\u094d\u0925\u0940 \u0926\u094d\u0935\u093e\u0930\u093e \u0915\u0947\u0935\u0932 \u0905\u0928\u0941\u092e\u093e\u0928 \u0938\u0947 4 \u092f\u093e \u0909\u0938\u0938\u0947 \u0905\u0927\u093f\u0915 \u092a\u094d\u0930\u0936\u094d\u0928\u094b\u0902 \u0915\u0947 \u0938\u0939\u0940 \u0909\u0924\u094d\u0924\u0930 \u0926\u0947\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0939\u0948 :",
"options": [
"17/3^5",
"13/3^5",
"11/3^5",
"10/3^5"
],
"answer": "3",
"original_question_num": "78"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 33,
"question": "\u090f\u0915 \u0924\u094d\u0930\u093f\u092d\u0941\u091c, \u091c\u093f\u0938\u0915\u0940 \u092d\u0941\u091c\u093e\u0913\u0902 \u0915\u0947 \u092e\u0927\u094d\u092f \u092c\u093f\u0902\u0926\u0941\u0913\u0902 \u0915\u0947 \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 (0, 1), (1, 1) \u0924\u0925\u093e (1, 0) \u0939\u0948\u0902, \u0915\u0947 \u0905\u0902\u0924\u0903\u0915\u0947\u0902\u0926\u094d\u0930 \u0915\u093e x- \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 \u0939\u0948 :",
"options": [
"2 + \u221a2",
"2 - \u221a2",
"1 + \u221a2",
"1 - \u221a2"
],
"answer": "2",
"original_question_num": "79"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 25,
"question": "HCl \u0915\u0947 \u090f\u0915 \u091c\u0932\u0940\u092f \u0935\u093f\u0932\u092f\u0928 \u0915\u0947 1 \u0932\u0940\u091f\u0930 \u092e\u0947\u0902 \u091c\u093f\u0938\u0915\u093e pH \u092e\u093e\u0928 1 \u0939\u0948, \u091c\u0932 \u0915\u0947 \u0915\u093f\u0924\u0928\u0947 \u0932\u0940\u091f\u0930 \u092e\u093f\u0932\u093e\u090f\u0902 \u0915\u093f \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u091c\u0932\u0940\u092f \u0935\u093f\u0932\u092f\u0928 \u0915\u093e pH \u092e\u093e\u0928 2 \u0939\u094b \u091c\u093e\u090f?",
"options": [
"0.1 L",
"0.9 L",
"2.0 L",
"9.0 L"
],
"answer": "2",
"original_question_num": "54"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 25,
"question": "Na \u0915\u093e \u092a\u094d\u0930\u0925\u092e \u0906\u092f\u0928\u0940\u0915\u0930\u0923 \u0935\u093f\u092d\u0935 5.1 eV \u0939\u0948\u0964 Na\u207a \u0915\u0940 \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928 \u092a\u094d\u0930\u093e\u092a\u094d\u0924\u093f \u090f\u0928\u094d\u0925\u0948\u0932\u094d\u092a\u0940 \u0928\u093f\u092e\u094d\u0928 \u0939\u094b\u0917\u0940:",
"options": [
"-2.55 eV",
"-5.1 eV",
"-10.2 eV",
"+2.55 eV"
],
"answer": "4",
"original_question_num": "55"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 25,
"question": "\u090f\u0915 \u0915\u093e\u0930\u094d\u092c\u0928\u093f\u0915 \u092f\u094c\u0917\u093f\u0915 A, NH\u2083 \u0915\u0947 \u0938\u093e\u0925 \u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0930\u0928\u0947 \u092a\u0930 B \u0926\u0947\u0924\u093e \u0939\u0948, \u091c\u094b \u0917\u0930\u094d\u092e \u0915\u0930\u0928\u0947 \u092a\u0930 C \u0926\u0947\u0924\u093e \u0939\u0948\u0964 KOH \u0915\u0940 \u0909\u092a\u0938\u094d\u0925\u093f\u0924\u093f \u092e\u0947\u0902 C, Br\u2082 \u0915\u0947 \u0938\u093e\u0925 \u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0930\u0915\u0947 CH\u2083CH\u2082NH\u2082 \u0926\u0947\u0924\u093e \u0939\u0948\u0964 A \u0939\u0948:",
"options": [
"CH\u2083COOH",
"CH\u2083CH\u2082CH\u2082COOH",
"CH\u2083-CH-COOH",
"CH\u2083CH\u2082COOH"
],
"answer": "2",
"original_question_num": "56"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 25,
"question": "\u0938\u094d\u0925\u093f\u0930\u0924\u093e Li\u2082, Li\u2082\u207b \u0914\u0930 Li\u2082\u207a \u0915\u0940 \u0938\u094d\u0925\u093f\u0930\u0924\u093e \u0915\u093e \u092c\u0922\u093c\u0924\u093e \u0915\u094d\u0930\u092e \u0939\u0948:",
"options": [
"Li\u2082 < Li\u2082\u207a < Li\u2082\u207b",
"Li\u2082\u207b < Li\u2082\u207a < Li\u2082",
"Li\u2082 < Li\u2082\u207b < Li\u2082\u207a",
"Li\u2082\u207b < Li\u2082 < Li\u2082\u207a"
],
"answer": "4",
"original_question_num": "57"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 29,
"question": "\u0936\u094d\u0930\u0943\u0902\u0916\u0932\u093e 0.7, 0.77, 0.777, ......, \u0915\u0947 \u092a\u094d\u0930\u0925\u092e 20 \u092a\u0926\u094b\u0902 \u0915\u093e \u092f\u094b\u0917 \u0939\u0948 :",
"options": [
"\\(\\frac{7}{81} (179 - 10^{-20})\\)",
"\\(\\frac{7}{9} (99 - 10^{-20})\\)",
"\\(\\frac{7}{81} (179 + 10^{-20})\\)",
"\\(\\frac{7}{9} (99 + 10^{-20})\\)"
],
"answer": "2",
"original_question_num": "67"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 29,
"question": "x + \\(\\sqrt{3}\\)y = \\(\\sqrt{3}\\) \u0915\u0940 \u0926\u093f\u0936\u093e \u092e\u0947\u0902 \u091c\u093e\u0924\u0940 \u0939\u0941\u0908 \u090f\u0915 \u092a\u094d\u0930\u0915\u093e\u0936 \u0915\u0940 \u0915\u093f\u0930\u0923 x-\u0905\u0915\u094d\u0937 \u092a\u0930 \u092a\u0939\u0941\u0901\u091a \u0915\u0930 \u092a\u0930\u093e\u0935\u0930\u094d\u0924\u093f\u0924 \u0939\u094b \u091c\u093e\u0924\u0940 \u0939\u0948\u0964 \u0907\u0938 \u092a\u0930\u093e\u0935\u0930\u094d\u0924\u093f\u0924 \u0915\u093f\u0930\u0923 \u0915\u093e \u0938\u092e\u0940\u0915\u0930\u0923 \u0939\u0948 :",
"options": [
"y = x + \\(\\sqrt{3}\\)",
"\\(\\sqrt{3}\\)y = x - \\(\\sqrt{3}\\)",
"y = \\(\\sqrt{3}\\)x - \\(\\sqrt{3}\\)",
"\\(\\sqrt{3}\\)y = x - 1"
],
"answer": "2",
"original_question_num": "68"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 29,
"question": "k \u0915\u0947 \u0909\u0928 \u092e\u093e\u0928\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e, \u091c\u093f\u0928\u0915\u0947 \u0932\u093f\u090f \u0928\u093f\u092e\u094d\u0928 \u0938\u092e\u0940\u0915\u0930\u0923 \u0928\u093f\u0915\u093e\u092f :\n(k + 1)x + 8y = 4k\nkx + (k + 3)y = 3k - 1\n\u0915\u093e \u0915\u094b\u0908 \u0939\u0932 \u0928\u0939\u0940\u0902 \u0939\u0948, \u0939\u0948 :",
"options": [
"\u0905\u0928\u0902\u0924",
"1",
"2",
"3"
],
"answer": "2",
"original_question_num": "69"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 13,
"question": "\u092f\u0939 \u092e\u093e\u0928 \u0932\u0947\u0902 \u0915\u093f \u090f\u0915 \u0926\u094d\u0930\u0935 \u0915\u0940 \u092c\u0942\u0901\u0926 \u0905\u092a\u0928\u0940 \u092a\u0943\u0937\u094d\u0920 \u090a\u0930\u094d\u091c\u093e \u092e\u0947\u0902 \u0915\u092e\u0940 \u0915\u0930 \u0935\u093e\u0937\u094d\u092a\u093f\u0924 \u0939\u094b\u0924\u0940 \u0939\u0948 \u091c\u093f\u0938\u0938\u0947 \u0915\u093f \u0907\u0938\u0915\u093e \u0924\u093e\u092a\u092e\u093e\u0928 \u0905\u092a\u0930\u093f\u0935\u0930\u094d\u0924\u093f\u0924 \u0930\u0939\u0924\u093e \u0939\u0948\u0964 \u092f\u0939 \u0938\u092e\u094d\u092d\u0935 \u0939\u094b\u0928\u0947 \u0915\u0947 \u0932\u093f\u092f\u0947 \u092c\u0942\u0901\u0926 \u0915\u0940 \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e \u0915\u094d\u092f\u093e \u0939\u094b\u0928\u0940 \u091a\u093e\u0939\u093f\u090f? \u092a\u0943\u0937\u094d\u0920 \u0924\u0928\u093e\u0935 T \u0939\u0948, \u0926\u094d\u0930\u0935 \u0915\u093e \u0918\u0928\u0924\u094d\u0935 \u03c1 \u0939\u0948 \u0914\u0930 \u0935\u093e\u0937\u094d\u092a\u0928 \u0915\u0940 \u0917\u0941\u092a\u094d\u0924 \u090a\u0937\u094d\u092e\u093e L \u0939\u0948\u0964",
"options": [
"\u03c1L/T",
"\u221aT/\u03c1L",
"T/\u03c1L",
"2T/\u03c1L"
],
"answer": "4",
"original_question_num": "25"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 13,
"question": "\u090f\u0915 \u0939\u093e\u0907\u0921\u094d\u0930\u094b\u091c\u0928 \u0938\u092e\u093e\u0928 \u092a\u0930\u092e\u093e\u0923\u0941 \u092e\u0947\u0902 \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928 \u0938\u094d\u0935\u093e\u092f\u0924\u094d\u0924 \u0938\u0902\u0916\u094d\u092f\u093e n \u0915\u0947 \u090a\u0930\u094d\u091c\u093e \u0938\u094d\u0924\u0930 \u0938\u0947 \u0939\u091f \u0926\u0942\u0938\u0930\u0947 \u0938\u094d\u0935\u093e\u092f\u0924\u094d\u0924 \u0938\u0902\u0916\u094d\u092f\u093e (n-1) \u0915\u0947 \u090a\u0930\u094d\u091c\u093e \u0938\u094d\u0924\u0930 \u092a\u0930 \u0938\u0902\u0915\u094d\u0930\u092e\u0923 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u092f\u0926\u093f n >> 1, \u0924\u092c \u0909\u0924\u094d\u0938\u0930\u094d\u091c\u093f\u0924 \u0935\u093f\u0915\u093f\u0930\u0923 \u0915\u0940 \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u0907\u0938\u0915\u0947 \u0938\u092e\u093e\u0928\u0941\u092a\u093e\u0924\u0940 \u0939\u0948 :",
"options": [
"1/n",
"1/n\u00b2",
"1/n\u00b3/\u00b2",
"1/n\u00b3"
],
"answer": "4",
"original_question_num": "26"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 3,
"question": "\u090f\u0915 \u092a\u094d\u0930\u0915\u094d\u0937\u0947\u092a\u094d\u092f \u0915\u094b \u090f\u0915 \u092a\u094d\u0930\u093e\u0930\u0902\u092d\u093f\u0915 \u0935\u0947\u0917 \\( \\left( \\hat{i} + 2 \\hat{j} \\right) \\) m/s \u0926\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948, \u091c\u0939\u093e\u0901 \\( \\hat{i} \\) \u092d\u0942\u092e\u093f \u0915\u0947 \u0938\u093e\u0925 \u0939\u0948 \u0914\u0930 \\( \\hat{j} \\) \u090a\u0930\u094d\u0927\u094d\u0935\u093e\u0927\u0930 \u092a\u0930\u0964 \u092f\u0926\u093f g = 10 m/s\u00b2, \u0924\u092c \u092a\u094d\u0930\u0915\u094d\u0937\u0947\u092a \u092a\u0925 \u0915\u093e \u0938\u092e\u0940\u0915\u0930\u0923 \u0939\u0948 :",
"options": [
"y = x - 5x\u00b2",
"y = 2x - 5x\u00b2",
"4y = 2x - 5x\u00b2",
"4y = 2x - 25x\u00b2"
],
"answer": "2",
"original_question_num": "5"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 3,
"question": "\u090f\u0915 \u092e\u0902\u0926\u093f\u0924 \u0926\u094b\u0932\u093f\u0924\u094d\u0930 \u0915\u093e \u0906\u092f\u093e\u092e 5s \u092e\u0947\u0902 \u0905\u092a\u0928\u0947 \u092e\u0942\u0932 \u092a\u0930\u093f\u092e\u093e\u0923 \u0938\u0947 \u0918\u091f\u0915\u0930 \u092e\u0942\u0932 \u092a\u0930\u093f\u092e\u093e\u0923 \u0915\u093e 0.9 \u0917\u0941\u0928\u093e \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u090f\u0915 \u0914\u0930 10s \u092e\u0947\u0902 \u092f\u0939 \u0918\u091f\u0915\u0930 \u092e\u0942\u0932 \u092a\u0930\u093f\u092e\u093e\u0923 \u0915\u093e \u03b1 \u0917\u0941\u0928\u093e \u0939\u094b \u091c\u093e\u090f\u0917\u093e, \u091c\u0939\u093e\u0901 \u03b1 \u0915\u093e \u092e\u093e\u0928 \u0939\u0948 :",
"options": [
"0.7",
"0.81",
"0.729",
"0.6"
],
"answer": "3",
"original_question_num": "6"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 3,
"question": "\u0926\u094b \u0938\u0902\u0927\u093e\u0930\u093f\u0924\u094d\u0930 C\u2081 \u090f\u0935\u0902 C\u2082 \u0915\u094d\u0930\u092e\u0936\u0903 120 V \u090f\u0935\u0902 200 V \u092a\u0930 \u0906\u0935\u0947\u0936\u093f\u0924 \u0915\u093f\u092f\u0947 \u0917\u092f\u0947 \u0939\u0948\u0902\u0964 \u092f\u0939 \u092a\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0915\u093f \u0909\u0928\u094d\u0939\u0947\u0902 \u090f\u0915 \u0926\u0942\u0938\u0930\u0947 \u0938\u0947 \u091c\u094b\u0921\u093c \u0926\u0947\u0928\u0947 \u092a\u0930 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092a\u0930 \u0935\u093f\u092d\u0935 \u0936\u0942\u0928\u094d\u092f \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948\u0964 \u0924\u092c :",
"options": [
"5C\u2081 = 3C\u2082",
"3C\u2081 = 5C\u2082",
"3C\u2081 + 5C\u2082 = 0",
"9C\u2081 = 4C\u2082"
],
"answer": "2",
"original_question_num": "7"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 30,
"question": "\u092f\u0926\u093f \u0938\u092e\u0940\u0915\u0930\u0923 x\u00b2 + 2x + 3 = 0 \u0924\u0925\u093e ax\u00b2 + bx + c = 0, a, b, c \u2208 R, \u0915\u093e \u090f\u0915 \u092e\u0942\u0932 \u0938\u092e\u093e\u0928 \u0939\u0948, \u0924\u094b a : b : c \u0939\u0948 :",
"options": [
"1 : 2 : 3",
"3 : 2 : 1",
"1 : 3 : 2",
"3 : 1 : 2"
],
"answer": "1",
"original_question_num": "70"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 30,
"question": "\u090f\u0915 \u0935\u0943\u0924\u094d\u0924 \u091c\u094b (1, -2) \u0938\u0947 \u0939\u094b\u0915\u0930 \u091c\u093e\u0924\u093e \u0939\u0948, \u0924\u0925\u093e x - \u0905\u0915\u094d\u0937 \u0915\u094b (3, 0) \u092a\u0930 \u0938\u094d\u092a\u0930\u094d\u0936 \u0915\u0930\u0924\u093e \u0939\u0948, \u091c\u093f\u0938 \u0905\u0928\u094d\u092f \u092c\u093f\u0902\u0926\u0941 \u0938\u0947 \u0939\u094b\u0915\u0930 \u091c\u093e\u0924\u093e \u0939\u0948, \u0935\u0939 \u0939\u0948 :",
"options": [
"(-5, 2)",
"(2, -5)",
"(5, -2)",
"(-2, 5)"
],
"answer": "3",
"original_question_num": "71"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 30,
"question": "\u092f\u0926\u093f x, y, z \u090f\u0915 \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u0936\u094d\u0930\u0947\u0923\u0940 \u092e\u0947\u0902 \u0939\u0948\u0902 \u0924\u0925\u093e tan\u207b\u00b9x, tan\u207b\u00b9y \u0924\u0925\u093e tan\u207b\u00b9z \u092d\u0940 \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u0936\u094d\u0930\u0947\u0923\u0940 \u092e\u0947\u0902 \u0939\u0948\u0902, \u0924\u094b :",
"options": [
"x = y = z",
"2x = 3y = 6z",
"6x = 3y = 2z",
"6x = 4y = 3z"
],
"answer": "1",
"original_question_num": "72"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 26,
"question": "\u090f\u0915 \u0905\u091c\u094d\u091e\u093e\u0924 \u090f\u0932\u094d\u0915\u094b\u0939\u0949\u0932 \u0915\u094b \u0932\u0941\u0915\u093e\u0938 \u0905\u092d\u093f\u0915\u0930\u094d\u092e\u0915 \u0915\u0947 \u0938\u093e\u0925 \u092f\u0939 \u091c\u093e\u0928\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0909\u092a\u092f\u094b\u0917\u093f\u0924 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0915\u093f \u090f\u0932\u094d\u0915\u094b\u0939\u0949\u0932 \u092a\u094d\u0930\u093e\u0925\u092e\u093f\u0915, \u0938\u0947\u0915\u0947\u0902\u0921\u0930\u0940 \u0905\u0925\u0935\u093e \u091f\u0930\u094d\u0936\u093f\u092f\u0930\u0940 \u0939\u0948\u0964 \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928\u0938\u093e \u090f\u0932\u094d\u0915\u094b\u0939\u0949\u0932 \u0938\u0930\u094d\u0935\u093e\u0927\u093f\u0915 \u0924\u0940\u0935\u094d\u0930\u0924\u093e \u0938\u0947 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0930\u0924\u093e \u0939\u0948 \u0914\u0930 \u0915\u093f\u0938 \u0915\u094d\u0930\u093f\u092f\u093e\u0935\u093f\u0927\u093f \u0926\u094d\u0935\u093e\u0930\u093e :",
"options": [
"\u0938\u0947\u0915\u0947\u0902\u0921\u0930\u0940 \u090f\u0932\u094d\u0915\u094b\u0939\u0949\u0932, SN1 \u0926\u094d\u0935\u093e\u0930\u093e",
"\u091f\u0930\u094d\u0936\u093f\u092f\u0930\u0940 \u090f\u0932\u094d\u0915\u094b\u0939\u0949\u0932, SN1 \u0926\u094d\u0935\u093e\u0930\u093e",
"\u0938\u0947\u0915\u0947\u0902\u0921\u0930\u0940 \u090f\u0932\u094d\u0915\u094b\u0939\u0949\u0932, SN2 \u0926\u094d\u0935\u093e\u0930\u093e",
"\u091f\u0930\u094d\u0936\u093f\u092f\u0930\u0940 \u090f\u0932\u094d\u0915\u094b\u0939\u0949\u0932, SN2 \u0926\u094d\u0935\u093e\u0930\u093e"
],
"answer": "2",
"original_question_num": "58"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "general knowledge",
"category_original_lang": "\u0938\u093e\u092e\u093e\u0928\u094d\u092f \u091c\u094d\u091e\u093e\u0928",
"page_num": 26,
"question": "\u092d\u094b\u092a\u093e\u0932 \u0917\u0948\u0938 \u0926\u0941\u0930\u094d\u0918\u091f\u0928\u093e \u092e\u0947\u0902 \u092f\u0942\u0928\u093f\u092f\u0928 \u0915\u093e\u0930\u094d\u092c\u093e\u0907\u0921 \u092a\u094d\u0932\u093e\u0902\u091f \u0915\u0947 \u0938\u094d\u091f\u094b\u0930\u0947\u091c \u091f\u0948\u0902\u0915 \u0938\u0947 \u091c\u094b \u0917\u0948\u0938 \u0928\u093f\u0915\u0932\u0940 \u0925\u0940, \u0935\u0939 \u0925\u0940 :",
"options": [
"\u092e\u0947\u0925\u093f\u0932\u0906\u0907\u0938\u094b\u0938\u093e\u0907\u0928\u0947\u091f",
"\u092e\u0947\u0925\u093f\u0932\u090f\u092e\u0940\u0928",
"\u0905\u092e\u094b\u0928\u093f\u092f\u093e",
"\u092b\u0949\u0938\u094d\u091c\u0940\u0928"
],
"answer": "1",
"original_question_num": "59"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 26,
"question": "\u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u0947 \u0906\u0927\u093e\u0930 \u092a\u0930 \u090f\u0915 \u0927\u093e\u0924\u0941 \u0911\u0915\u094d\u0938\u093e\u0907\u0921 \u0915\u093e \u0938\u0942\u0924\u094d\u0930 M\u2080.\u2089\u2088O \u092a\u093e\u092f\u093e \u0917\u092f\u093e\u0964 \u092f\u0926\u093f \u0927\u093e\u0924\u0941 \u0907\u0938 \u0911\u0915\u094d\u0938\u093e\u0907\u0921 \u092e\u0947\u0902 M\u00b2\u207a \u0914\u0930 M\u00b3\u207a \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u0935\u0930\u094d\u0924\u092e\u093e\u0928 \u0939\u094b \u0924\u094b \u0927\u093e\u0924\u0941 \u0915\u093e \u091c\u094b \u0905\u0902\u0936 M\u00b3\u207a \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u0939\u094b\u0917\u093e \u0935\u0939 \u0939\u0948 :",
"options": [
"7.01%",
"4.08%",
"6.05%",
"5.08%"
],
"answer": "2",
"original_question_num": "60"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 27,
"question": "\u0926\u094b \u0938\u092e\u093e\u0902\u0924\u0930 \u0938\u092e\u0924\u0932 2x + y + 2z = 8 \u0924\u0925\u093e 4x + 2y + 4z + 5 = 0 \u0915\u0947 \u092c\u0940\u091a \u0915\u0940 \u0926\u0942\u0930\u0940 \u0939\u0948 :",
"options": [
"3/2",
"5/2",
"7/2",
"9/2"
],
"answer": "3",
"original_question_num": "61"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 27,
"question": "\u0935\u0930\u094d\u0924\u092e\u093e\u0928 \u092e\u0947\u0902 \u090f\u0915 \u092b\u0930\u094d\u092e 2000 \u0928\u0917 \u092c\u0928\u093e \u0930\u0939\u0940 \u0939\u0948\u0964 \u092f\u0939 \u0905\u0928\u0941\u092e\u093e\u0928 \u0932\u0917\u093e\u092f\u093e \u0917\u092f\u093e \u0939\u0948 \u0915\u093f \u0905\u0924\u093f\u0930\u093f\u0915\u094d\u0924 \u0915\u093e\u092e\u0917\u093e\u0930\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e x \u0915\u0947 \u0938\u093e\u0925 \u0909\u0924\u094d\u092a\u093e\u0926\u0928 P \u0915\u0947 \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u0915\u0940 \u0926\u0930 dP/dx = 100 - 12\u221ax \u0926\u094d\u0935\u093e\u0930\u093e \u092a\u094d\u0930\u0926\u0924\u094d\u0924 \u0939\u0948\u0964 \u092f\u0926\u093f \u092b\u0930\u094d\u092e 25 \u0915\u093e\u092e\u0917\u093e\u0930 \u0905\u0927\u093f\u0915 \u0932\u0917\u093e\u0924\u0940 \u0939\u0948, \u0924\u094b \u0928\u0917\u094b\u0902 \u0915\u0947 \u0909\u0924\u094d\u092a\u093e\u0926\u0928 \u0915\u093e \u0928\u092f\u093e \u0938\u094d\u0924\u0930 \u0939\u0948 :",
"options": [
"2500",
"3000",
"3500",
"4500"
],
"answer": "3",
"original_question_num": "62"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 27,
"question": "\u092e\u093e\u0928 A \u0924\u0925\u093e B \u0926\u094b \u0910\u0938\u0947 \u0938\u092e\u0941\u091a\u094d\u091a\u092f \u0939\u0948\u0902 \u091c\u093f\u0928\u092e\u0947\u0902 \u0915\u094d\u0930\u092e\u0936\u0903 2 \u0905\u0935\u092f\u0935 \u0924\u0925\u093e 4 \u0905\u0935\u092f\u0935 \u0939\u0948\u0902\u0964 A \u00d7 B \u0915\u0947 \u0909\u0928 \u0909\u092a\u0938\u092e\u0941\u091a\u094d\u091a\u092f\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e, \u091c\u093f\u0928\u092e\u0947\u0902 3 \u0905\u0935\u092f\u0935 \u0905\u0927\u093f\u0915 \u0905\u0935\u092f\u0935 \u0939\u0948\u0902, \u0939\u0948 :",
"options": [
"256",
"220",
"219",
"211"
],
"answer": "3",
"original_question_num": "63"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "reasoning",
"category_original_lang": "\u0924\u0930\u094d\u0915\u0936\u0915\u094d\u0924\u093f",
"page_num": 31,
"question": "\u0935\u093f\u091a\u093e\u0930 \u0915\u0940\u091c\u093f\u090f :\n\u0915\u0925\u0928 - I : (p \u2227 \u223c q) \u2227 (\u223c p \u2227 q) \u0905\u0938\u0924\u094d\u092f \u0939\u0948\u0964\n\u0915\u0925\u0928 - II : (p \u2192 q)\u2194(\u223c q \u2192 \u223c p) \u0938\u0924\u094d\u092f \u0939\u0948\u0964",
"options": [
"\u0915\u0925\u0928 - I \u0938\u0924\u094d\u092f \u0939\u0948; \u0915\u0925\u0928 - II \u0938\u0924\u094d\u092f \u0939\u0948; \u0915\u0925\u0928 - II \u0915\u0925\u0928 - I \u0915\u0940 \u0938\u0939\u0940 \u0935\u094d\u092f\u093e\u0916\u094d\u092f\u093e \u0939\u0948\u0964",
"\u0915\u0925\u0928 - I \u0938\u0924\u094d\u092f \u0939\u0948; \u0915\u0925\u0928 - II \u0938\u0924\u094d\u092f \u0939\u0948; \u0915\u0925\u0928 - II \u0915\u0925\u0928 - I \u0915\u0940 \u0938\u0939\u0940 \u0935\u094d\u092f\u093e\u0916\u094d\u092f\u093e \u0928\u0939\u0940\u0902 \u0939\u0948\u0964",
"\u0915\u0925\u0928 - I \u0938\u0924\u094d\u092f \u0939\u0948, \u0915\u0925\u0928 - II \u0905\u0938\u0924\u094d\u092f \u0939\u0948\u0964",
"\u0915\u0925\u0928 - I \u0905\u0938\u0924\u094d\u092f \u0939\u0948, \u0915\u0925\u0928 - II \u0938\u0924\u094d\u092f \u0939\u0948\u0964"
],
"answer": "2",
"original_question_num": "73"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 31,
"question": "\u092f\u0926\u093f \u222bf(x)dx = \u03a8(x) \u0939\u0948, \u0924\u094b \u222bx\u2075f(x\u00b3)dx \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"1/3 [x\u00b3\u03a8(x\u00b3) \u2212 \u222bx\u00b2\u03a8(x\u00b3)dx] + C",
"1/3 x\u00b3\u03a8(x\u00b3) \u2212 3 \u222bx\u00b3\u03a8(x\u00b3)dx + C",
"1/3 x\u00b3\u03a8(x\u00b3) \u2212 \u222bx\u00b2\u03a8(x\u00b3)dx + C",
"1/3 [x\u00b3\u03a8(x\u00b3) \u2212 \u222bx\u00b3\u03a8(x\u00b3)dx] + C"
],
"answer": "3",
"original_question_num": "74"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 11,
"question": "\u090f\u0915 \u0917\u0924\u093f\u0936\u0940\u0932 \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u091a\u0941\u0902\u092c\u0915\u0940\u092f \u0924\u0930\u0902\u0917 \u092e\u0947\u0902 \u091a\u0941\u0902\u092c\u0915\u0940\u092f \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0915\u093e \u0936\u093f\u0916\u0930 \u092e\u093e\u0928 20 nT \u0939\u0948\u0964 \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0938\u093e\u092e\u0930\u094d\u0925\u094d\u092f \u0915\u093e \u0936\u093f\u0916\u0930 \u092e\u093e\u0928 \u0939\u0948 :",
"options": [
"3 V/m",
"6 V/m",
"9 V/m",
"12 V/m"
],
"answer": "2",
"original_question_num": "22"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 2,
"question": "\u0907\u0938 \u092a\u094d\u0930\u0936\u094d\u0928 \u092e\u0947\u0902 \u0915\u0925\u0928 I \u090f\u0935\u0902 \u0915\u0925\u0928 II \u0926\u093f\u092f\u0947 \u0939\u0941\u092f\u0947 \u0939\u0948\u0902\u0964 \u0915\u0925\u0928\u094b\u0902 \u0915\u0947 \u092a\u0936\u094d\u091a\u093e\u0924\u094d \u0926\u093f\u092f\u0947 \u0917\u092f\u0947 \u091a\u093e\u0930 \u0935\u093f\u0915\u0932\u094d\u092a\u094b\u0902 \u092e\u0947\u0902 \u0938\u0947, \u0909\u0938 \u0935\u093f\u0915\u0932\u094d\u092a \u0915\u094b \u091a\u0941\u0928\u093f\u092f\u0947 \u091c\u094b \u0915\u093f \u0926\u093f\u092f\u0947 \u0917\u092f\u0947 \u0915\u0925\u0928\u094b\u0902 \u0915\u093e \u0938\u0930\u094d\u0935\u094b\u0924\u094d\u0924\u092e \u0935\u0930\u094d\u0923\u0928 \u0915\u0930\u0924\u093e \u0939\u0948\u0964\n\u0915\u0925\u0928 - I : \u091a\u093e\u0932 v \u0938\u0947 \u0917\u0924\u093f\u0936\u0940\u0932 \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 m \u0915\u093e \u090f\u0915 \u092c\u093f\u0902\u0926\u0941 \u0915\u0923 \u0938\u094d\u0925\u093f\u0930 \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 M \u0915\u0947 \u090f\u0915 \u092c\u093f\u0902\u0926\u0941 \u0915\u0923 \u0938\u0947 \u0938\u0902\u0918\u091f\u094d\u091f \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u092f\u0926\u093f \u0938\u092e\u094d\u092d\u0935 \u0905\u0927\u093f\u0915\u0924\u092e \u090a\u0930\u094d\u091c\u093e \u0915\u094d\u0937\u092f \u0926\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 f(1/2 mv^2) \u0938\u0947, \u0924\u092c f = (m / M + m)\u0964\n\u0915\u0925\u0928 - II : \u0905\u0927\u093f\u0915\u0924\u092e \u090a\u0930\u094d\u091c\u093e \u0915\u094d\u0937\u092f \u0924\u092d\u0940 \u0939\u094b\u0924\u093e \u0939\u0948 \u091c\u092c \u0938\u0902\u0918\u091f\u094d\u091f \u0915\u0947 \u092a\u0930\u093f\u0923\u093e\u092e\u0938\u094d\u0935\u0930\u0942\u092a \u0915\u0923 \u090f\u0915 \u0926\u0942\u0938\u0930\u0947 \u0938\u0947 \u091a\u093f\u092a\u0915 \u091c\u093e\u0924\u0947 \u0939\u0948\u0902\u0964",
"options": [
"\u0915\u0925\u0928 - I \u0938\u0924\u094d\u092f \u0939\u0948, \u0915\u0925\u0928 - II \u0938\u0924\u094d\u092f \u0939\u0948, \u0915\u0925\u0928 - II \u0915\u0925\u0928 - I \u0915\u0940 \u0938\u0939\u0940 \u0935\u094d\u092f\u093e\u0916\u094d\u092f\u093e \u0915\u0930\u0924\u093e \u0939\u0948\u0964",
"\u0915\u0925\u0928 - I \u0938\u0924\u094d\u092f \u0939\u0948, \u0915\u0925\u0928 - II \u0938\u0924\u094d\u092f \u0939\u0948, \u0915\u0925\u0928 - II \u0915\u0925\u0928 - I \u0915\u0940 \u0938\u0939\u0940 \u0935\u094d\u092f\u093e\u0916\u094d\u092f\u093e \u0928\u0939\u0940\u0902 \u0915\u0930\u0924\u093e \u0939\u0948\u0964",
"\u0915\u0925\u0928 - I \u0938\u0924\u094d\u092f \u0939\u0948, \u0915\u0925\u0928 - II \u0917\u0932\u0924 \u0939\u0948\u0964",
"\u0915\u0925\u0928 - I \u0917\u0932\u0924 \u0939\u0948, \u0915\u0925\u0928 - II \u0938\u0924\u094d\u092f \u0939\u0948\u0964"
],
"answer": "4",
"original_question_num": "3"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 2,
"question": "\u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u0947\u0902 \u0935\u093f\u0926\u094d\u092f\u0941\u0924\u0936\u0940\u0932\u0924\u093e \u0915\u093e \u0935\u093f\u092e\u0940\u092f \u0938\u0942\u0924\u094d\u0930 [\u03b5\u2080] \u0938\u0947 \u091a\u093f\u0928\u094d\u0939\u093f\u0924 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u092f\u0926\u093f M = \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928, L = \u0932\u092e\u094d\u092c\u093e\u0908, T = \u0938\u092e\u092f \u0914\u0930 A = \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0927\u093e\u0930\u093e; \u0924\u092c :",
"options": [
"[\u03b5\u2080] = [M^-1 L^-3 T^2 A]",
"[\u03b5\u2080] = [M^-1 L^-3 T^4 A^2]",
"[\u03b5\u2080] = [M^-1 L^2 T^-1 A^-2]",
"[\u03b5\u2080] = [M^-1 L^2 T^-1 A]"
],
"answer": "2",
"original_question_num": "4"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 36,
"question": " \\( y = \\int_{0}^{x} |t| dt, x \\in R \\) \u092a\u0930 \u0930\u0947\u0916\u093e \\( y = 2x \\) \u0915\u0947 \u0938\u092e\u093e\u0928\u093e\u0902\u0924\u0930 \u0916\u0940\u0902\u091a\u0940 \u0917\u0908 \u0938\u094d\u092a\u0930\u094d\u0936 \u0930\u0947\u0916\u093e\u0913\u0902 \u0926\u094d\u0935\u093e\u0930\u093e x-\u0905\u0915\u094d\u0937 \u092a\u0930 \u092c\u0928\u0947 \u0905\u0902\u0924\u0903\u0916\u0923\u094d\u0921 \u092c\u0930\u093e\u092c\u0930 \u0939\u0948\u0902:",
"options": [
"\u00b11",
"\u00b12",
"\u00b13",
"\u00b14"
],
"answer": "1",
"original_question_num": "86"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 36,
"question": "\u0926\u093f\u092f\u093e \u0939\u0948: \u090f\u0915 \u0935\u0943\u0924\u094d\u0924, \\( 2x^2 + 2y^2 = 5 \\) \u0924\u0925\u093e \u090f\u0915 \u092a\u0930\u0935\u0932\u092f \\( y^2 = 4\\sqrt{5} x \\)\u0964\n\u0915\u0925\u0928 - I: \u0907\u0928 \u0935\u0915\u094d\u0930\u094b\u0902 \u0915\u0940 \u090f\u0915 \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0938\u094d\u092a\u0930\u094d\u0936 \u0930\u0947\u0916\u093e \u0915\u093e \u0938\u092e\u0940\u0915\u0930\u0923 \\( y = x + \\sqrt{5} \\) \u0939\u0948\u0964\n\u0915\u0925\u0928 - II: \u092f\u0926\u093f \u0930\u0947\u0916\u093e \\( y = mx + \\frac{\\sqrt{5}}{m} \\) (m \u2260 0) \u0909\u0928\u0915\u0940 \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0938\u094d\u092a\u0930\u094d\u0936 \u0930\u0947\u0916\u093e \u0939\u0948, \u0924\u094b m, \\( m^4 - 3m^2 + 2 = 0 \\) \u0915\u094b \u0938\u0902\u0924\u0941\u0937\u094d\u091f \u0915\u0930\u0924\u093e \u0939\u0948\u0964\n",
"options": [
"\u0915\u0925\u0928 - I \u0938\u0924\u094d\u092f \u0939\u0948; \u0915\u0925\u0928 - II \u0938\u0924\u094d\u092f \u0939\u0948; \u0915\u0925\u0928 - II \u0915\u0925\u0928 - I \u0915\u0940 \u0938\u0939\u0940 \u0935\u094d\u092f\u093e\u0916\u094d\u092f\u093e \u0939\u0948\u0964",
"\u0915\u0925\u0928 - I \u0938\u0924\u094d\u092f \u0939\u0948; \u0915\u0925\u0928 - II \u0938\u0924\u094d\u092f \u0939\u0948; \u0915\u0925\u0928 - II \u0915\u0925\u0928 - I \u0915\u0940 \u0938\u0939\u0940 \u0935\u094d\u092f\u093e\u0916\u094d\u092f\u093e \u0928\u0939\u0940\u0902 \u0939\u0948\u0964",
"\u0915\u0925\u0928 - I \u0938\u0924\u094d\u092f \u0939\u0948; \u0915\u0925\u0928 - II \u0905\u0938\u0924\u094d\u092f \u0939\u0948\u0964",
"\u0915\u0925\u0928 - I \u0905\u0938\u0924\u094d\u092f \u0939\u0948; \u0915\u0925\u0928 - II \u0938\u0924\u094d\u092f \u0939\u0948\u0964"
],
"answer": "2",
"original_question_num": "87"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 20,
"question": "\u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u092a\u0930 \u0935\u093f\u091a\u093e\u0930 \u0915\u0940\u091c\u093f\u090f :\nxMnO\u2084\u207b + yC\u2082O\u2084\u00b2\u207b + zH\u207a \u2192 xMn\u00b2\u207a + 2yCO\u2082 + z/2 H\u2082O\n\u0907\u0938 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u092e\u0947\u0902 x, y \u0924\u0925\u093e z \u0915\u0947 \u092e\u093e\u0928 \u0915\u094d\u0930\u092e\u0936\u0903 \u0939\u0948\u0902 :",
"options": [
"5, 2 \u0924\u0925\u093e 16",
"2, 5 \u0924\u0925\u093e 8",
"2, 5 \u0924\u0925\u093e 16",
"5, 2 \u0924\u0925\u093e 8"
],
"answer": "3",
"original_question_num": "43"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 5,
"question": "\u090f\u0915 \u0938\u092e-\u0909\u0924\u094d\u0924\u0932 \u0932\u0947\u0902\u0938 \u0915\u093e \u0935\u094d\u092f\u093e\u0938 6 cm \u0939\u0948 \u0914\u0930 \u0915\u0947\u0928\u094d\u0926\u094d\u0930 \u092a\u0930 \u092e\u094b\u091f\u093e\u0908 3 mm \u0939\u0948\u0964 \u092f\u0926\u093f \u0932\u0947\u0902\u0938 \u0915\u0947 \u092a\u0926\u093e\u0930\u094d\u0925 \u092e\u0947\u0902 \u092a\u094d\u0930\u0915\u093e\u0936 \u0915\u0940 \u091a\u093e\u0932 2 x 10^8 m/s \u0939\u0948, \u0924\u092c \u0932\u0947\u0902\u0938 \u0915\u0940 \u092b\u094b\u0915\u0932 \u0932\u092e\u094d\u092c\u093e\u0908 \u0939\u0948 :",
"options": [
"15 cm",
"20 cm",
"30 cm",
"10 cm"
],
"answer": "3",
"original_question_num": "10"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 5,
"question": "\u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 M \u090f\u0935\u0902 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e R \u0915\u0947 \u090f\u0915 \u0917\u094d\u0930\u0939 \u0915\u0947 \u092a\u0943\u0937\u094d\u0920 \u0938\u0947 \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 m \u0915\u0947 \u090f\u0915 \u0909\u092a\u0917\u094d\u0930\u0939 \u0915\u094b 2R \u090a\u0901\u091a\u093e\u0908 \u092a\u0930 \u0935\u0943\u0924\u0940\u092f \u0915\u0915\u094d\u0937\u093e \u092e\u0947\u0902 \u0938\u094d\u0925\u093e\u092a\u093f\u0924 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u092f\u0947 \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u090a\u0930\u094d\u091c\u093e \u0906\u0935\u0936\u094d\u092f\u0915 \u0939\u0948 :",
"options": [
"5GmM/6R",
"2GmM/3R",
"GmM/2R",
"GmM/3R"
],
"answer": "1",
"original_question_num": "11"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 16,
"question": "\u0928\u093f\u092e\u094d\u0928 \u0915\u0949\u092e\u094d\u092a\u094d\u0932\u0947\u0915\u094d\u0938 \u0938\u094d\u092a\u0940\u0936\u0940\u091c \u092e\u0947\u0902 \u0938\u0947 \u0915\u093f\u0938 \u0938\u0947 \u092a\u094d\u0930\u0915\u093e\u0936\u0915\u0940\u092f \u0938\u092e\u093e\u0935\u092f\u0935\u0924\u093e \u092a\u094d\u0930\u0926\u0930\u094d\u0936\u093f\u0924 \u0915\u0930\u0928\u0947 \u0915\u0940 \u0905\u092a\u0947\u0915\u094d\u0937\u093e \u0928\u0939\u0940\u0902 \u0915\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948?",
"options": [
"[Co(en)3]3+",
"[Co(en)2 Cl2]+",
"[Co(NH3)3 Cl3]",
"[Co(en)(NH3)2 Cl2]+"
],
"answer": "3",
"original_question_num": "31"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 16,
"question": "\u0928\u093f\u092e\u094d\u0928 \u0905\u0923\u0941\u0913\u0902 \u092e\u0947\u0902 \u0938\u0947 \u0915\u093f\u0938\u0938\u0947 \u092a\u094d\u0930\u0924\u093f\u0928\u0941\u092c\u0915\u0940\u092f \u0935\u094d\u092f\u0935\u0939\u093e\u0930 \u0915\u0940 \u0905\u092a\u0947\u0915\u094d\u0937\u093e \u0915\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948?",
"options": [
"C2",
"N2",
"O2",
"S2"
],
"answer": "1",
"original_question_num": "32"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 16,
"question": "\u091f\u093e\u0932\u094d\u092f\u0942\u0928 \u092e\u0947\u0902 (\u2212)-1-\u0915\u094d\u0932\u094b\u0930\u094b-1-\u092b\u0947\u0928\u093f\u0932\u090f\u0925\u0947\u0928 \u0915\u093e SbCl5 \u0915\u0940 \u0925\u094b\u0921\u093c\u0940 \u0938\u0940 \u092e\u093e\u0924\u094d\u0930\u093e \u0915\u0940 \u0909\u092a\u0938\u094d\u0925\u093f\u0924\u093f \u092e\u0947\u0902 \u0930\u0947\u0938\u092e\u0940\u0915\u0930\u0923 \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948 \u0914\u0930 \u0907\u0938\u0915\u093e \u0915\u093e\u0930\u0923 \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u093f\u0938\u0940 \u090f\u0915 \u0915\u093e \u092c\u0928\u0928\u093e \u0939\u0948, \u0935\u0939 \u0939\u0948:",
"options": [
"\u0915\u093e\u0930\u094d\u092c\u090f\u0928\u093e\u092f\u0928",
"\u0915\u093e\u0930\u094d\u092c\u0940\u0928",
"\u0915\u093e\u0930\u094d\u092c\u094b\u0915\u0948\u091f\u093e\u092f\u0928",
"\u092b\u094d\u0930\u0940 \u0930\u0947\u0921\u093f\u0915\u0932"
],
"answer": "2",
"original_question_num": "33"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 17,
"question": "\u0909\u092a\u0930\u094b\u0915\u094d\u0924 \u0906\u0902\u0915\u0921\u093c\u094b\u0902 \u0915\u0947 \u0906\u0927\u093e\u0930 \u092a\u0930 \u092a\u094d\u0930\u092c\u0932\u0924\u092e \u0911\u0915\u094d\u0938\u0940\u0915\u093e\u0930\u0915 \u0939\u094b\u0917\u093e :",
"options": [
"Cl\u207b",
"Cr\u00b3\u207a",
"Mn\u00b2\u207a",
"MnO\u2084\u207b"
],
"answer": "3",
"original_question_num": "34"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 17,
"question": "37.0\u00b0C \u092a\u0930 \u090f\u0915 \u0906\u0926\u0930\u094d\u0936 \u0917\u0948\u0938 \u0915\u0947 0.04 \u092e\u094b\u0932 \u0938\u0947 \u092d\u0930\u093e \u0939\u0941\u0906 \u092a\u093f\u0938\u094d\u091f\u0928 50.0 mL \u0938\u0947 375 mL \u0924\u0915 \u092b\u0948\u0932\u0924\u093e \u0939\u0948\u0964 \u0910\u0938\u093e \u0939\u094b\u0928\u0947 \u092e\u0947\u0902 \u090a\u0937\u094d\u092e\u093e \u0915\u093e 208J \u0938\u094b\u0916\u093f\u0924 \u0939\u094b\u0924\u093e \u0939\u0948\u0964 q \u0914\u0930 w \u0915\u0947 \u092e\u093e\u0928 \u0915\u094d\u0930\u092e\u0936\u0903 \u0932\u093f\u0916\u0947 \u0939\u094b\u0902\u0917\u0947 :",
"options": [
"q = +208 J, w = -208 J",
"q = -208 J, w = -208 J",
"q = -208 J, w = +208 J",
"q = +208 J, w = +208 J"
],
"answer": "4",
"original_question_num": "35"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 4,
"question": "\u0932\u092e\u094d\u092c\u093e\u0908 1.5 m \u0915\u093e \u090f\u0915 \u0938\u094b\u0928\u094b\u092e\u0940\u091f\u0930 \u0924\u093e\u0930 \u0938\u094d\u091f\u0940\u0932 \u0915\u093e \u092c\u0928\u093e \u0939\u0948\u0964 \u0907\u0938\u092e\u0947\u0902 \u090f\u0915 \u0924\u0928\u093e\u0935 1% \u0915\u0940 \u092a\u094d\u0930\u0924\u094d\u092f\u093e\u0938\u094d\u0925 \u0935\u093f\u0915\u0943\u0924\u093f \u0909\u0924\u094d\u092a\u0928\u094d\u0928 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u092f\u0926\u093f \u0938\u094d\u091f\u0940\u0932 \u0915\u0947 \u0918\u0928\u0924\u094d\u0935 \u0914\u0930 \u092a\u094d\u0930\u0924\u094d\u092f\u093e\u0938\u094d\u0925\u0924\u093e \u0917\u0941\u0923\u093e\u0902\u0915 \u0915\u094d\u0930\u092e\u0936\u0903 7.7\u00d710\u00b3 kg/m\u00b3 \u0914\u0930 2.2\u00d710\u00b9\u00b9 N/m\u00b2 \u0939\u0948\u0902 \u0924\u092c \u0938\u094d\u091f\u0940\u0932 \u0915\u0947 \u0924\u093e\u0930 \u0915\u0940 \u092e\u0942\u0932 \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u0915\u094d\u092f\u093e \u0939\u0948?",
"options": [
"188.5 Hz",
"178.2 Hz",
"200.5 Hz",
"770 Hz"
],
"answer": "2",
"original_question_num": "8"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 4,
"question": "\u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e 0.3 cm \u0915\u093e \u090f\u0915 \u0935\u0943\u0924\u0940\u092f \u0932\u0942\u092a \u090f\u0915 \u0915\u093e\u092b\u0940 \u092c\u0921\u093c\u0947 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e 20 cm \u0915\u0947 \u0935\u0943\u0924\u0940\u092f \u0932\u0942\u092a \u0915\u0947 \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u0930\u0916\u093e \u0939\u0948\u0964 \u091b\u094b\u091f\u0947 \u0932\u0942\u092a \u0915\u093e \u0915\u0947\u0928\u094d\u0926\u094d\u0930 \u092c\u0921\u093c\u0947 \u0932\u0942\u092a \u0915\u0947 \u0905\u0915\u094d\u0937 \u092a\u0930 \u0939\u0948\u0964 \u0909\u0928\u0915\u0947 \u0915\u0947\u0928\u094d\u0926\u094d\u0930\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0926\u0942\u0930\u0940 15 cm \u0939\u0948\u0964 \u092f\u0926\u093f \u091b\u094b\u091f\u0947 \u0932\u0942\u092a \u0938\u0947 2.0 A \u0915\u0940 \u0927\u093e\u0930\u093e \u092a\u094d\u0930\u0935\u093e\u0939\u093f\u0924 \u0939\u094b\u0924\u0940 \u0939\u0948, \u0924\u092c \u092c\u0921\u093c\u0947 \u0932\u0942\u092a \u0938\u0947 \u0938\u092e\u094d\u092c\u0926\u094d\u0927 \u092b\u094d\u0932\u0915\u094d\u0938 \u0939\u0948:",
"options": [
"9.1\u00d710\u207b\u00b9\u00b9 \u0935\u0947\u092c\u0930",
"6\u00d710\u207b\u00b9\u00b9 \u0935\u0947\u092c\u0930",
"3.3\u00d710\u207b\u00b9\u00b9 \u0935\u0947\u092c\u0930",
"6.6\u00d710\u207b\u2079 \u0935\u0947\u092c\u0930"
],
"answer": "1",
"original_question_num": "9"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 8,
"question": " \u0915\u094b\u0923\u0940\u092f \u0935\u0947\u0917 \u03c9\u2080 \u0938\u0947 \u0918\u0942\u0930\u094d\u0923\u0928 \u0915\u0930 \u0930\u0939\u0947 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e r \u0914\u0930 \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 m \u0915\u0947 \u090f\u0915 \u0918\u0942\u0930\u094d\u0923\u0947 \u0915\u094b \u090f\u0915 \u0916\u0941\u0930\u0926\u0930\u0947 \u0915\u094d\u0937\u0948\u0924\u093f\u091c \u0924\u0932 \u092a\u0930 \u0930\u0916\u093e \u0939\u0948\u0964 \u0918\u0942\u0930\u094d\u0923\u0947 \u0915\u0947 \u0915\u0947\u0928\u094d\u0926\u094d\u0930 \u0915\u093e \u092a\u094d\u0930\u093e\u0930\u092e\u094d\u092d\u093f\u0915 \u0935\u0947\u0917 \u0936\u0942\u0928\u094d\u092f \u0939\u0948\u0964 \u091c\u092c \u092f\u0939 \u0918\u0942\u0930\u094d\u0923\u0928 \u0915\u0930\u0928\u093e \u092c\u0928\u094d\u0926 \u0915\u0930 \u0926\u0947, \u0924\u092c \u0918\u0942\u0930\u094d\u0923\u0947 \u0915\u0947 \u0915\u0947\u0928\u094d\u0926\u094d\u0930 \u0915\u093e \u0935\u0947\u0917 \u0915\u094d\u092f\u093e \u0939\u094b\u0917\u093e ? ",
"options": [
"r\u03c9\u2080/4",
"r\u03c9\u2080/3",
"r\u03c9\u2080/2",
"r\u03c9\u2080"
],
"answer": "3",
"original_question_num": "16"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 8,
"question": " \u090f\u0915 \u090a\u0930\u094d\u0927\u094d\u0935\u093e\u0927\u0930 \u092c\u0947\u0932\u0928\u093e\u0915\u093e\u0930 \u092a\u093e\u0924\u094d\u0930 \u092e\u0947\u0902 \u0930\u0916\u0940 \u090f\u0915 \u0906\u0926\u0930\u094d\u0936 \u0917\u0948\u0938 \u090f\u0915 \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 M \u0915\u0947 \u0938\u094d\u0935\u0924\u0928\u094d\u0924\u094d\u0930 \u0930\u0942\u092a \u0938\u0947 \u0917\u0924\u093f\u0936\u0940\u0932 \u092a\u093f\u0938\u094d\u091f\u0928 \u0915\u094b \u0906\u0927\u093e\u0930 \u0926\u0947\u0924\u0940 \u0939\u0948\u0964 \u092a\u093f\u0938\u094d\u091f\u0928 \u0914\u0930 \u092c\u0947\u0932\u0928 \u0915\u0947 \u0905\u0928\u0941\u092a\u094d\u0930\u0938\u094d\u0925 \u092a\u0930\u093f\u0936\u094d\u091b\u0947\u0926 \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u090f\u0915\u0938\u092e\u093e\u0928 A \u0939\u0948\u0902\u0964 \u091c\u092c \u092a\u093f\u0938\u094d\u091f\u0928 \u0938\u093e\u092e\u094d\u092f\u093e\u0935\u0938\u094d\u0925\u093e \u092e\u0947\u0902 \u0939\u0948, \u0924\u092c \u0917\u0948\u0938 \u0915\u093e \u0906\u092f\u0924\u0928 V\u2080 \u0939\u0948 \u0914\u0930 \u0907\u0938\u0915\u093e \u0926\u093e\u092c P\u2080 \u0939\u0948\u0964 \u092a\u093f\u0938\u094d\u091f\u0928 \u0915\u094b \u0907\u0938\u0915\u0940 \u0938\u093e\u092e\u094d\u092f\u093e\u0935\u0938\u094d\u0925\u093e \u0938\u094d\u0925\u093f\u0924\u093f \u0938\u0947 \u0925\u094b\u0921\u093c\u093e \u0938\u093e \u0935\u093f\u0938\u094d\u0925\u093e\u092a\u093f\u0924 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0914\u0930 \u092b\u093f\u0930 \u091b\u094b\u0921\u093c \u0926\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u092f\u0939 \u092e\u093e\u0928 \u0932\u0947\u0902 \u0915\u093f \u092a\u093f\u0938\u094d\u091f\u0928 \u0905\u092a\u0928\u0947 \u092a\u0930\u093f\u0935\u0947\u0936 \u0938\u0947 \u092a\u0942\u0930\u094d\u0923\u0924\u0903 \u092a\u0943\u0925\u0915 \u0939\u0948, \u0924\u092c \u092a\u093f\u0938\u094d\u091f\u0928 \u0907\u0938 \u0906\u0935\u0943\u0924\u093f \u0915\u0940 \u0938\u0930\u0932 \u0906\u0935\u0930\u094d\u0924 \u0917\u0924\u093f \u0915\u0930\u0947\u0917\u093e : ",
"options": [
"1/(2\u03c0) \u221a(A\u03b3P\u2080/V\u2080M)",
"1/(2\u03c0) \u221a(V\u2080MP\u2080/A\u00b2\u03b3)",
"1/(2\u03c0) \u221a(A\u00b2\u03b3P\u2080/MV\u2080)",
"1/(2\u03c0) \u221a(MV\u2080/A\u03b3P\u2080)"
],
"answer": "3",
"original_question_num": "17"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 21,
"question": "\u090f\u0915 \u0917\u0948\u0938\u0940\u092f \u0939\u093e\u0907\u0921\u094d\u0930\u094b\u0915\u093e\u0930\u094d\u092c\u0928 \u0926\u0939\u0928 \u092a\u0930 0.72 g. \u091c\u0932 \u0914\u0930 3.08 g. CO\u2082 \u0926\u0947\u0924\u093e \u0939\u0948\u0964 \u0939\u093e\u0907\u0921\u094d\u0930\u094b\u0915\u093e\u0930\u094d\u092c\u0928 \u0915\u093e \u0906\u0923\u0935\u093f\u0915 \u0938\u0942\u0924\u094d\u0930 \u0939\u0948 :",
"options": [
"C\u2082H\u2084",
"C\u2083H\u2084",
"C\u2086H\u2085",
"C\u2087H\u2088"
],
"answer": "4",
"original_question_num": "45"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 21,
"question": "\u0905\u0923\u0941/\u0906\u092f\u0928\u094b\u0902 \u0915\u0947 \u0928\u093f\u092e\u094d\u0928 \u092f\u0941\u0917\u094d\u092e\u094b\u0902 \u092e\u0947\u0902 \u0938\u0947 \u0915\u093f\u0938\u092e\u0947\u0902 \u0926\u094b\u0928\u094b\u0902 \u092a\u094d\u0930\u091c\u093e\u0924\u093f\u092f\u094b\u0902 \u0915\u0947 \u0939\u094b\u0928\u0947 \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0928\u0939\u0940\u0902 \u0939\u0948 ?",
"options": [
"H\u2082\u207a, He\u2082\u00b2\u207b",
"H\u2082\u207b, He\u2082\u00b2\u207b",
"H\u2082\u00b2\u207a, He\u2082",
"H\u2082\u207b, He\u2082\u00b2\u207a"
],
"answer": "3",
"original_question_num": "46"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 37,
"question": "\u092f\u0926\u093f \\( y = \\sec(\\tan^{-1}x) \\) \u0939\u0948, \u0924\u094b \\( x = 1 \\) \u092a\u0930 \\( \\frac{dy}{dx} \\) \u0915\u093e \u092e\u093e\u0928 \u0939\u0948 :",
"options": [
"\\( \\frac{1}{\\sqrt{2}} \\)",
"\\( \\frac{1}{2} \\)",
"1",
"\\( \\sqrt{2} \\)"
],
"answer": "1",
"original_question_num": "88"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 37,
"question": "\u0935\u094d\u092f\u0902\u091c\u0915 \\( \\frac{\\tan A}{1 - \\cot A} + \\frac{\\cot A}{1 - \\tan A} \\) \u0915\u094b \u0932\u093f\u0916\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948 :",
"options": [
"\\(\\sin A \\cos A + 1\\)",
"\\(\\sec A \\cosec A + 1\\)",
"\\(\\tan A + \\cot A\\)",
"\\(\\sec A + \\cosec A\\)"
],
"answer": "2",
"original_question_num": "89"
},
{
"language": "hi",
"country": "India",
"file_name": "jee-main-paper-1-2013-hindi-p",
"source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 37,
"question": "\u090f\u0915 \u0915\u0915\u094d\u0937\u093e \u0915\u0947 \u0938\u092d\u0940 \u0935\u093f\u0926\u094d\u092f\u093e\u0930\u094d\u0925\u093f\u092f\u094b\u0902 \u0928\u0947 \u0917\u0923\u093f\u0924 \u092e\u0947\u0902 \u0915\u092e \u0905\u0902\u0915 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u093f\u092f\u093e\u0964 \u0905\u0927\u094d\u092f\u093e\u092a\u0915 \u0928\u0947 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0935\u093f\u0926\u094d\u092f\u093e\u0930\u094d\u0925\u0940 \u0915\u094b 10 \u0905\u0924\u093f\u0930\u093f\u0915\u094d\u0924 \u0905\u0902\u0915 \u0926\u0947\u0928\u0947 \u0915\u093e \u0928\u093f\u0930\u094d\u0923\u092f \u0932\u093f\u092f\u093e\u0964 \u0935\u093f\u0926\u094d\u092f\u093e\u0930\u094d\u0925\u093f\u092f\u094b\u0902 \u0915\u094b 10 \u0905\u0924\u093f\u0930\u093f\u0915\u094d\u0924 \u0905\u0902\u0915 \u0926\u0947\u0928\u0947 \u0915\u0947 \u092c\u093e\u0926 \u092d\u0940 \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928 \u0938\u093e \u0938\u093e\u0902\u0916\u094d\u092f\u093f\u0915\u0940 \u092e\u093e\u092a \u0928\u0939\u0940\u0902 \u092c\u0926\u0932\u0947\u0917\u093e?",
"options": [
"\u092e\u093e\u0927\u094d\u092f",
"\u092e\u093e\u0927\u094d\u092f\u0915",
"\u092c\u0939\u0941\u0932\u0915",
"\u092a\u094d\u0930\u0938\u0930\u0923"
],
"answer": "4",
"original_question_num": "90"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 11,
"question": "\u092a\u0930\u0935\u0932\u092f\u094b\u0902 y\u00b2 = 4x \u0924\u0925\u093e x\u00b2 = -32y \u0926\u094b\u0928\u094b\u0902 \u0915\u094b \u0938\u094d\u092a\u0930\u094d\u0936 \u0915\u0930\u0928\u0947 \u0935\u093e\u0932\u0940 \u0930\u0947\u0916\u093e \u0915\u0940 \u092a\u094d\u0930\u0935\u0923\u0924\u093e \u0939\u0948 :",
"options": [
"3/2",
"1/8",
"2/3",
"1/2"
],
"answer": "4",
"original_question_num": "26"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 11,
"question": "\u0915\u0925\u0928 ~(p \u2194 ~q) \u0939\u0948 :",
"options": [
"~p \u2194 q \u0915\u0947 \u0924\u0941\u0932\u094d\u092f",
"\u090f\u0915 \u092a\u0941\u0928\u0930\u0941\u0915\u094d\u0924\u093f (tautology)",
"\u090f\u0915 \u0939\u0947\u0902\u0932\u092f\u093e\u092d\u093e\u0938 (fallacy)",
"p \u2194 q \u0915\u0947 \u0924\u0941\u0932\u094d\u092f"
],
"answer": "4",
"original_question_num": "27"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 11,
"question": "\u092e\u093e\u0928\u093e \u0915\u093f\u0938\u0940 \u0938\u092e\u092f t \u092a\u0930 \u091c\u0940\u0935\u093f\u0924 \u0916\u0930\u0917\u094b\u0936\u094b\u0902 \u0915\u0940 \u091c\u0928\u0938\u0902\u0916\u094d\u092f\u093e \u0905\u0935\u0915\u0932 \u0938\u092e\u0940\u0915\u0930\u0923 dp(t)/dt = 1/2 p(t) - 200 \u0926\u094d\u0935\u093e\u0930\u093e \u0928\u093f\u0930\u094d\u0927\u093e\u0930\u093f\u0924 \u0939\u0948\u0964 \u092f\u0926\u093f p(0) = 100 \u0939\u0948, \u0924\u094b p(t) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"300 - 200 e\u207b\u1d57/\u00b2",
"600 - 500 e\u1d57/\u00b2",
"400 - 300 e\u207b\u1d57/\u00b2",
"400 - 300 e\u1d57/\u00b2"
],
"answer": "4",
"original_question_num": "28"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 7,
"question": "\u092f\u0926\u093f \\[ \\vec{a} \\times \\vec{b} \\times \\vec{c} \\times \\vec{x} = \\lambda \\left| \\vec{a} \\vec{b} \\vec{c} \\right|^2 \\] \u0939\u0948, \u0924\u094b \u03bb \u092c\u0930\u093e\u092c\u0930 \u0939\u0948:",
"options": [
"3",
"0",
"1",
"2"
],
"answer": "3",
"original_question_num": "14"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 7,
"question": "\u092e\u093e\u0928 A \u0924\u0925\u093e B \u0926\u094b \u0910\u0938\u0940 \u0918\u091f\u0928\u093e\u090f\u0901 \u0939\u0948\u0902 \u0915\u093f P(A\u222aB) = \\(\\frac{1}{6}\\), P(A\u2229B) = \\(\\frac{1}{4}\\) \u0924\u0925\u093e P(\\(\\overline{A}\\)) = \\(\\frac{1}{4}\\) \u0939\u0948 \u091c\u092c\u0915\u093f A \u0918\u091f\u0928\u093e A \u0915\u0947 \u092a\u0942\u0930\u0915 \u0915\u094b \u0926\u0930\u094d\u0936\u093e\u0924\u093e \u0939\u0948\u0964 \u0924\u094b \u0918\u091f\u0928\u093e\u090f\u0901 A \u0924\u0925\u093e B :",
"options": [
"\u0938\u092e\u093e\u0928\u0938\u092e\u094d\u092d\u093e\u0935\u0940 \u0939\u0948\u0902 \u092a\u0930\u0928\u094d\u0924\u0941 \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930 \u0928\u0939\u0940\u0902 \u0939\u0948\u0902\u0964",
"\u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930 \u0939\u0948\u0902 \u092a\u0930\u0928\u094d\u0924\u0941 \u0938\u092e\u093e\u0928\u0938\u092e\u094d\u092d\u093e\u0935\u0940 \u0928\u0939\u0940\u0902 \u0939\u0948\u0902\u0964",
"\u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930 \u0939\u0948\u0902 \u0924\u0925\u093e \u0938\u092e\u093e\u0928\u0938\u092e\u094d\u092d\u093e\u0935\u0940 \u0939\u0948\u0902\u0964",
"\u092a\u0930\u0938\u094d\u092a\u0930 \u0905\u092a\u0935\u0930\u094d\u0924\u0940 \u0924\u0925\u093e \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930 \u0939\u0948\u0902\u0964"
],
"answer": "2",
"original_question_num": "15"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 7,
"question": "\u092e\u093e\u0928 PS \u090f\u0915 \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0915\u0940 \u092e\u093e\u0927\u094d\u092f\u093f\u0915\u093e \u0939\u0948 \u091c\u093f\u0938\u0915\u0947 \u0936\u0940\u0930\u094d\u0937 P(2, 2), Q(6, -1) \u0924\u0925\u093e R(7, 3) \u0939\u0948\u0902\u0964 (1, -1) \u0938\u0947 \u0939\u094b\u0915\u0930 \u091c\u093e\u0928\u0947 \u0935\u093e\u0932\u0940 \u0930\u0947\u0916\u093e, \u091c\u094b PS \u0915\u0947 \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u0939\u0948, \u0915\u093e \u0938\u092e\u0940\u0915\u0930\u0923 \u0939\u0948 :",
"options": [
"2x + 9y + 7 = 0",
"4x + 7y + 3 = 0",
"2x - 9y - 11 = 0",
"4x - 7y - 11 = 0"
],
"answer": "1",
"original_question_num": "16"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 31,
"question": "\u0938\u093e\u0902\u0926\u094d\u0930\u0923 C \u092a\u0930 \u0914\u0930 \u0905\u0928\u0928\u094d\u0924 \u0924\u0928\u0941\u0924\u093e \u092a\u0930 NaCl \u0935\u093f\u0932\u092f\u0928 \u0915\u0940 \u0907\u0915\u094d\u0915\u094d\u0935\u093f\u0935\u0948\u0932\u0947\u0928\u094d\u091f \u091a\u093e\u0932\u0915\u0924\u093e \u0915\u094b \u03bbC \u0914\u0930 \u03bb\u221e \u092e\u093e\u0928\u0924\u0947 \u0939\u0941\u090f \u0909\u0928\u0915\u093e \u0906\u092a\u0938\u0940 \u0938\u092e\u094d\u092c\u0928\u094d\u0927 \u0932\u093f\u0916\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948 :",
"options": [
"\u03bbC = \u03bb\u221e + (B) \u221aC",
"\u03bbC = \u03bb\u221e + (B)C",
"\u03bbC = \u03bb\u221e - (B)C",
"\u03bbC = \u03bb\u221e - (B) \u221aC"
],
"answer": "4",
"original_question_num": "70"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 31,
"question": "\u0930\u0941\u092c\u093f\u0921\u093f\u092f\u092e \u092a\u0930\u092e\u093e\u0923\u0941 (Z = 37) \u0915\u0947 \u0938\u0902\u092f\u094b\u091c\u0940 \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928\u094b\u0902 \u0915\u0947 \u0932\u093f\u092f\u0947 \u091a\u093e\u0930 \u0915\u094d\u0935\u093e\u0923\u094d\u091f\u092e \u0928\u092e\u094d\u092c\u0930\u094b\u0902 \u0915\u093e \u0938\u0947\u091f \u0939\u094b\u0924\u093e \u0939\u0948 :",
"options": [
"5, 0, 1, + 1/2",
"5, 0, 0, + 1/2",
"5, 1, 0, + 1/2",
"5, 1, 1, + 1/2"
],
"answer": "2",
"original_question_num": "71"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 31,
"question": "0.500 M C2H5OH (\u091c\u0932\u0940\u092f), 0.100 M Mg3(PO4)2 (\u091c\u0932\u0940\u092f), 0.250 M KBr (\u091c\u0932\u0940\u092f) \u0914\u0930 0.125 M Na3PO4 (\u091c\u0932\u0940\u092f) \u0935\u093f\u0932\u092f\u0928\u094b\u0902 \u0915\u094b 25\u00b0C \u092a\u0930 \u0915\u094d\u0937\u093e\u0930 \u0935\u093f\u0926\u094d\u092f\u0941\u0924\u094d \u092e\u093e\u0928\u0924\u0947 \u0939\u0941\u090f \u0938\u092d\u0940 \u0928\u092e\u0915\u0940\u0928 \u0915\u094b \u092a\u094d\u0930\u092c\u0932 \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u094b\u0932\u093e\u0907\u091f\u094d\u0938 \u092e\u093e\u0928\u0924\u0947 \u0939\u0941\u090f \u0928\u093f\u092e\u094d\u0928 \u0915\u0925\u0928\u094b\u0902 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928-\u0938\u093e \u0915\u0925\u0928 \u092f\u0925\u093e\u0930\u094d\u0925 \u0939\u0948 ?",
"options": [
"0.500 M C2H5OH (\u091c\u0932\u0940\u092f) \u0915\u093e \u0906\u0938\u092e\u093e\u091f\u093f\u0915 \u0926\u093e\u092c \u0909\u091a\u094d\u091a\u0924\u092e \u0939\u094b\u0917\u093e\u0964",
"\u0907\u0928 \u0938\u092c \u0915\u0947 \u0932\u093f\u092f\u0947 \u0906\u0938\u092e\u093e\u091f\u093f\u0915 \u0926\u093e\u092c \u0915\u093e \u092e\u093e\u0928 \u0938\u092e\u093e\u0928 \u0939\u094b\u0917\u093e\u0964",
"0.100 M Mg3(PO4)2 (\u091c\u0932\u0940\u092f) \u0915\u093e \u0906\u0938\u092e\u093e\u091f\u093f\u0915 \u0926\u093e\u092c \u0909\u091a\u094d\u091a\u0924\u092e \u0939\u094b\u0917\u093e\u0964",
"0.125 M Na3PO4 (\u091c\u0932\u0940\u092f) \u0915\u093e \u0906\u0938\u092e\u093e\u091f\u093f\u0915 \u0926\u093e\u092c \u0909\u091a\u094d\u091a\u0924\u092e \u0939\u094b\u0917\u093e\u0964"
],
"answer": "2",
"original_question_num": "72"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 27,
"question": "\u090f\u0915 \u0935\u093f\u0926\u094d\u092f\u093e\u0930\u094d\u0925\u0940 \u0928\u0947 \u090f\u0915 \u091b\u0921\u093c \u0915\u0940 \u0932\u092e\u094d\u092c\u093e\u0908 \u092e\u093e\u092a\u0915\u0930 3.50 cm \u0932\u093f\u0916\u0940\u0964 \u0907\u0938\u0915\u0947 \u092e\u093e\u092a\u0928 \u092e\u0947\u0902 \u0909\u0938\u0928\u0947 \u0915\u093f\u0938 \u0909\u092a\u0915\u0930\u0923 \u0915\u093e \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u093f\u092f\u093e?",
"options": [
"\u090f\u0915 \u0938\u094d\u0915\u094d\u0930\u0942 \u0917\u0947\u091c \u091c\u093f\u0938\u0915\u0947 \u0935\u0930\u094d\u0928\u093f\u092f\u0930 \u0938\u094d\u0915\u0947\u0932 \u092e\u0947\u0902 50 \u092d\u093e\u0917 \u0939\u0948\u0902 \u0914\u0930 \u092a\u093f\u091a 1 mm \u0939\u0948\u0964",
"\u090f\u0915 \u092e\u0940\u091f\u0930 \u0938\u094d\u0915\u0947\u0932\u0964",
"\u090f\u0915 \u0935\u0930\u094d\u0928\u093f\u092f\u0930 \u0915\u0948\u0932\u093f\u092a\u0930 \u091c\u0939\u093e\u0901 \u0935\u0930\u094d\u0928\u093f\u092f\u0930 \u0938\u094d\u0915\u0947\u0932 \u0915\u0947 10 \u092d\u093e\u0917 \u092e\u0941\u0916\u094d\u092f \u0938\u094d\u0915\u0947\u0932 \u0915\u0947 9 \u092d\u093e\u0917\u094b\u0902 \u0938\u0947 \u092e\u093f\u0932\u0924\u0947 \u0939\u0948\u0902 \u0914\u0930 \u092e\u0941\u0916\u094d\u092f \u0938\u094d\u0915\u0947\u0932 \u0915\u0947 1 cm \u092e\u0947\u0902 10 \u092d\u093e\u0917 \u0939\u0948\u0902\u0964",
"\u090f\u0915 \u0938\u094d\u0915\u094d\u0930\u0942 \u0917\u0947\u091c \u091c\u093f\u0938\u0915\u0947 \u0935\u0930\u094d\u0928\u093f\u092f\u0930 \u0938\u094d\u0915\u0947\u0932 \u092e\u0947\u0902 100 \u092d\u093e\u0917 \u0939\u0948\u0902 \u0914\u0930 \u092a\u093f\u091a 1 mm \u0939\u0948\u0964"
],
"answer": "3",
"original_question_num": "59"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 26,
"question": "\u0932\u092e\u094d\u092c\u093e\u0908 85 cm \u0915\u0947 \u090f\u0915 \u092a\u093e\u0907\u092a \u0915\u0947 \u090f\u0915 \u0938\u093f\u0930\u0947 \u0915\u094b \u092c\u0928\u094d\u0926 \u0915\u0930 \u0926\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u092a\u093e\u0907\u092a \u092e\u0947\u0902 \u0935\u093e\u092f\u0941 \u0938\u094d\u0924\u092e\u094d\u092d \u0915\u0947 \u0938\u092e\u094d\u092d\u0935 \u092a\u094d\u0930\u093e\u0915\u0943\u0924\u093f\u0915 \u0926\u094b\u0932\u0928\u094b\u0902 \u0915\u0940 \u0935\u0939 \u0938\u0902\u0916\u094d\u092f\u093e \u0928\u093f\u0915\u093e\u0932\u093f\u090f \u091c\u093f\u0928\u0915\u0940 \u0906\u0935\u0943\u0924\u094d\u0924\u093f 1250 Hz \u0938\u0947 \u0915\u092e \u0939\u0948\u0964 \u0935\u093e\u092f\u0941 \u092e\u0947\u0902 \u0927\u094d\u0935\u0928\u093f \u0915\u093e \u0935\u0947\u0917 340 m/s \u0939\u0948\u0964",
"options": [
"4",
"12",
"8",
"6"
],
"answer": "4",
"original_question_num": "57"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 26,
"question": "\u092e\u093e\u0928 \u0932\u0947\u0902 \u0935\u094d\u092f\u094b\u092e \u092e\u0947\u0902 \u090f\u0915 \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 E = 30x^2 i^ exists \u0939\u0948\u0964 \u0924\u092c \u0935\u093f\u092d\u0935\u093e\u0902\u0924\u0930 V_A - V_O, \u091c\u0939\u093e\u0901 V_O \u092e\u0942\u0932\u092c\u093f\u0928\u094d\u0926\u0941 \u092a\u0930 \u0935\u093f\u092d\u0935 \u090f\u0935\u0902 V_A x = 2 m \u092a\u0930 \u0935\u093f\u092d\u0935 \u0939\u0948\u0902, \u0939\u0948 :",
"options": [
"80 J",
"120 J",
"-120 J",
"-80 I"
],
"answer": "4",
"original_question_num": "58"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 30,
"question": "1, 1, 1 - \u091f\u094d\u0930\u093e\u0907\u0915\u094d\u0932\u094b\u0930\u094b\u090f\u0925\u0947\u0928 \u0915\u094b \u0938\u093f\u0932\u094d\u0935\u0930 \u092a\u093e\u0909\u0921\u0930 \u0915\u0947 \u0938\u093e\u0925 \u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0930\u0924\u0947 \u092a\u0930 \u0938\u092c\u0938\u0947 \u092c\u0921\u093c\u0940 \u092e\u093e\u0924\u094d\u0930\u093e \u092e\u0947\u0902 \u092c\u0928\u093e \u0906\u0930\u094d\u0917\u0947\u0928\u093f\u0915 \u092f\u094c\u0917\u093f\u0915 \u0939\u094b\u0924\u093e \u0939\u0948 :",
"options": [
"2 - \u092c\u094d\u092f\u0942\u091f\u0940\u0928",
"\u090f\u0938\u0940\u091f\u093f\u0932\u0940\u0928",
"\u0908\u0925\u0940\u0928",
"2 - \u092c\u094d\u092f\u0942\u091f\u093e\u0907\u0928"
],
"answer": "4",
"original_question_num": "67"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 30,
"question": "\u090f\u0915 \u0935\u093f\u0936\u0947\u0937 \u0917\u0948\u0938\u0940\u092f \u092e\u093f\u0936\u094d\u0930\u0923 \u092e\u0947\u0902 \u0911\u0915\u094d\u0938\u0940\u091c\u0928 \u0914\u0930 \u0928\u093e\u0907\u091f\u094d\u0930\u094b\u091c\u0928 \u0915\u0947 \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928\u094b\u0902 \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 1 : 4 \u0939\u0948\u0964 \u0907\u0938 \u092e\u093f\u0936\u094d\u0930\u0923 \u092e\u0947\u0902 \u0907\u0928\u0915\u0940 \u0905\u0923\u0941 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 \u0939\u094b\u0917\u093e :",
"options": [
"3 : 16",
"1 : 4",
"7 : 32",
"1 : 8"
],
"answer": "3",
"original_question_num": "68"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 30,
"question": "\u0927\u093e\u0924\u0941 \u091c\u094b \u0905\u092a\u0928\u0947 \u0932\u0935\u0923\u094b\u0902 \u0915\u0947 \u091c\u0932\u0940\u092f \u0935\u093f\u0932\u092f\u0928\u094b\u0902 \u0915\u0947 \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u094b\u0932\u093f\u0938\u093f\u0938 (\u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0905\u092a\u0918\u091f\u0928) \u0938\u0947 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0928\u0939\u0940\u0902 \u0939\u094b \u0938\u0915\u0924\u0940 \u0939\u094b\u0924\u0940 \u0939\u0948 :",
"options": [
"Cr",
"Ag",
"Ca",
"Cu"
],
"answer": "3",
"original_question_num": "69"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 10,
"question": "\u092f\u0926\u093f g \u092b\u0932\u0928 f \u0915\u093e \u0935\u094d\u092f\u0941\u0924\u094d\u0915\u094d\u0930\u092e \u0939\u0948 \u0924\u0925\u093e f'(x) = 1 / (1 + x^5) \u0939\u0948, \u0924\u094b g'(x) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"5x^4",
"1 / {g(x)}^5",
"1 + {g(x)}^5",
"1 + x^5"
],
"answer": "3",
"original_question_num": "23"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 10,
"question": "\u092f\u0926\u093f (10^9 + 2(11)^1 (10)^8 + 3(11)^2 (10)^7 + ... + 10 (11)^9 = k (10)^9 \u0939\u0948, \u0924\u094b k \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"441 / 100",
"100",
"110",
"121 / 10"
],
"answer": "2",
"original_question_num": "24"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 6,
"question": "\u0924\u0940\u0928 \u0927\u0928\u093e\u0924\u094d\u092e\u0915 \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0902 \u092c\u0922\u093c\u0924\u0940 \u0917\u0941\u0923\u094b\u0924\u094d\u0924\u0930 \u0936\u094d\u0930\u0947\u0923\u0940 \u092e\u0947\u0902 \u0939\u0948\u0902\u0964 \u092f\u0926\u093f \u0907\u0938 \u0917\u0941\u0923\u094b\u0924\u094d\u0924\u0930 \u0936\u094d\u0930\u0947\u0923\u0940 \u0915\u0940 \u092c\u0940\u091a \u0935\u093e\u0932\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0926\u0941\u0917\u0928\u0940 \u0915\u0930 \u0926\u0940 \u091c\u093e\u090f, \u0924\u094b \u0928\u0908 \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0902 \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u0936\u094d\u0930\u0947\u0923\u0940 \u092e\u0947\u0902 \u0939\u094b \u091c\u093e\u0924\u0940 \u0939\u0948\u0902\u0964 \u0917\u0941\u0923\u094b\u0924\u094d\u0924\u0930 \u0936\u094d\u0930\u0947\u0923\u0940 \u0915\u093e \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0905\u0928\u0941\u092a\u093e\u0924 \u0939\u0948 :",
"options": [
"3 + \u221a2",
"2 - \u221a3",
"2 + \u221a3",
"\u221a2 + \u221a3"
],
"answer": "3",
"original_question_num": "11"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 6,
"question": "\u092f\u0926\u093f (1 + ax + bx\u00b2) (1 - 2x)\u00b9\u2078 \u0915\u0947 x \u0915\u0947 \u0918\u093e\u0924\u094b\u0902 \u092e\u0947\u0902 \u092a\u094d\u0930\u0938\u093e\u0930 \u092e\u0947\u0902 x\u00b3 \u0924\u0925\u093e x\u2074, \u0926\u094b\u0928\u094b\u0902 \u0915\u0947 \u0917\u0941\u0923\u093e\u0902\u0915 \u0936\u0942\u0928\u094d\u092f \u0939\u0948\u0902, \u0924\u094b (a, b) \u0915\u0947 \u092c\u0930\u093e\u092c\u0930 \u0939\u0948\u0902 :",
"options": [
"(14, 251/3)",
"(14, 272/3)",
"(16, 272/3)",
"(16, 251/3)"
],
"answer": "3",
"original_question_num": "12"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 6,
"question": "\u092e\u093e\u0928 a, b, c \u0924\u0925\u093e d \u0936\u0942\u0928\u094d\u092f\u0947\u0924\u0930 \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0902 \u0939\u0948\u0902\u0964 \u092f\u0926\u093f \u0930\u0947\u0916\u093e\u0913\u0902 4ax + 2ay + c = 0 \u0924\u0925\u093e 5bx + 2by + d = 0 \u0915\u093e \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u092c\u093f\u0902\u0926\u0941 \u091a\u0924\u0941\u0930\u094d\u0925\u093e\u0902\u0936 \u092e\u0947\u0902 \u0939\u0948 \u0924\u0925\u093e \u0926\u094b\u0928\u094b\u0902 \u0905\u0915\u094d\u0937\u094b\u0902 \u0938\u0947 \u0938\u092e\u0926\u0942\u0930\u0938\u094d\u0925 \u0939\u0948, \u0924\u094b :",
"options": [
"2bc + 3ad = 0",
"3bc - 2ad = 0",
"3bc + 2ad = 0",
"2bc - 3ad = 0"
],
"answer": "2",
"original_question_num": "13"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 37,
"question": "\u0928\u093f\u092e\u094d\u0928 \u0905\u0923\u0941\u0913\u0902 \u0915\u0947 \u0932\u093f\u092f\u0947 \u0905\u092e\u094d\u0932 \u0936\u0915\u094d\u0924\u093f \u0915\u093e \u0918\u091f\u0924\u093e \u0915\u094d\u0930\u092e \u0939\u094b\u0917\u093e :",
"options": [
"HClO2 > HClO4 > HClO3 > HOCl",
"HOCl > HClO2 > HClO3 > HClO4",
"HClO4 > HOCl > HClO2 > HClO3",
"HClO4 > HClO3 > HClO2 > HOCl"
],
"answer": "4",
"original_question_num": "86"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "biology",
"category_original_lang": "\u091c\u0940\u0935\u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 37,
"question": "\u0928\u093f\u092e\u094d\u0928 \u0915\u094d\u0937\u093e\u0930\u094b\u0902 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928 \u090f\u0915 DNA \u092e\u0947\u0902 \u0928\u0939\u0940\u0902 \u092a\u093e\u092f\u093e \u091c\u093e\u0924\u093e ?",
"options": [
"\u0925\u093e\u0907\u092e\u093f\u0928",
"\u0915\u094d\u0935\u093f\u0928\u094b\u0932\u093f\u0928",
"\u090f\u0921\u0947\u0928\u093f\u0928",
"\u0938\u093e\u0907\u091f\u094b\u0938\u093f\u0928"
],
"answer": "2",
"original_question_num": "87"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 37,
"question": "\u091c\u0932\u0940\u092f \u0935\u093f\u0932\u092f\u0928 \u092e\u0947\u0902 \u090f\u092e\u0940\u0928\u094b\u0902 \u0915\u094b \u0915\u094d\u0937\u093e\u0930\u0940\u092f \u092a\u094d\u0930\u0915\u0943\u0924\u093f \u0915\u0947 \u0905\u0928\u0941\u0938\u093e\u0930 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924\u094b\u0902 \u092e\u0947\u0902 \u0938\u0947 \u0915\u093f\u0938\u0915\u0947 \u0932\u093f\u092f\u0947 pK_b \u0915\u093e \u092e\u093e\u0928 \u0915\u092e \u0938\u0947 \u0915\u092e \u0939\u094b\u0917\u093e?",
"options": [
"C_6H_5NH_2",
"(CH_3)_2NH",
"CH_3NH_2",
"(CH_3)_3N"
],
"answer": "2",
"original_question_num": "88"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 37,
"question": "\u092f\u0926\u093f Z \u0938\u0902\u092a\u0940\u0921\u0928 \u0917\u0941\u0923\u093e\u0902\u0915 \u0939\u0948 \u0924\u094b \u0915\u092e \u0926\u092c\u093e\u0935 \u092a\u0930 \u0935\u093e\u0902\u0921\u0930\u0935\u093e\u0932\u094d\u0938 \u0938\u092e\u0940\u0915\u0930\u0923 \u0915\u094b \u0932\u093f\u0916\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948 :",
"options": [
"Z = 1 + \\(\\frac{Pb}{RT}\\)",
"Z = 1 + \\(\\frac{RT}{Pb}\\)",
"Z = 1 - \\(\\frac{a}{VRT}\\)",
"Z = 1 - \\(\\frac{Pb}{RT}\\)"
],
"answer": "3",
"original_question_num": "89"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 21,
"question": "\u0938\u0942\u091a\u0940 - I (\u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u0924\u0930\u0902\u0917 \u092a\u094d\u0930\u0915\u093e\u0930) \u0915\u094b \u0938\u0942\u091a\u0940 - II (\u0907\u0938\u0915\u093e \u0938\u092e\u094d\u092c\u0928\u094d\u0927/\u0905\u0928\u0941\u092a\u094d\u0930\u092f\u094b\u0917) \u0938\u0947 \u0938\u0941\u092e\u0947\u0932\u093f\u0924 \u0915\u0940\u091c\u093f\u092f\u0947 \u0914\u0930 \u0938\u0942\u091a\u093f\u092f\u094b\u0902 \u0915\u0947 \u0928\u0940\u091a\u0947 \u0926\u093f\u092f\u0947 \u0917\u092f\u0947 \u0935\u093f\u0915\u0932\u094d\u092a\u094b\u0902 \u092e\u0947\u0902 \u0938\u0947 \u0938\u0939\u0940 \u0935\u093f\u0915\u0932\u094d\u092a \u091a\u0941\u0928\u093f\u090f:",
"options": [
"(i) (ii) (iii) (iv)",
"(iv) (iii) (ii) (i)",
"(i) (ii) (iv) (iii)",
"(iii) (ii) (i) (iv)"
],
"answer": "1",
"original_question_num": "47"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 21,
"question": "\u0939\u093e\u0907\u0921\u094d\u0930\u094b\u091c\u0928 \u092a\u0930\u092e\u093e\u0923\u0941 \u0915\u0947 3\u21922 \u0938\u0902\u0915\u094d\u0930\u092e\u0923 \u0915\u0947 \u0938\u0902\u0917\u0924 \u0935\u093f\u0915\u093f\u0930\u0923 \u090f\u0915 \u0927\u093e\u0924\u0941 \u092a\u0943\u0937\u094d\u0920 \u092a\u0930 \u0906\u0918\u093e\u0924 \u0939\u094b\u0915\u0930 \u092b\u094b\u091f\u094b\u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928 \u0909\u0924\u094d\u092a\u0928\u094d\u0928 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u092f\u0947 \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928 3\u00d710\u207b\u2074 T \u0915\u0947 \u090f\u0915 \u091a\u0941\u0902\u092c\u0915\u0940\u092f \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u092e\u0947\u0902 \u092a\u094d\u0930\u0935\u0947\u0936 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964 \u092f\u0926\u093f \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928\u094b\u0902 \u0926\u094d\u0935\u093e\u0930\u093e \u0905\u0928\u0941\u0917\u093e\u092e\u0940 \u0905\u0927\u093f\u0915\u0924\u092e \u0935\u0943\u0924\u094d\u0924\u0940\u092f \u092a\u0925 \u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e 10.0 mm \u0939\u094b, \u0924\u092c \u0927\u093e\u0924\u0941 \u0915\u093e \u0915\u093e\u0930\u094d\u092f \u092b\u0932\u0928 \u0932\u0917\u092d\u0917 \u0939\u0948:",
"options": [
"1.6 eV",
"1.8 eV",
"1.1 eV",
"0.8 eV"
],
"answer": "3",
"original_question_num": "48"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 17,
"question": "\u0927\u094d\u0930\u0941\u0935\u0923 \u0915\u0947 \u0905\u0928\u094d\u092f\u094b\u0928\u094d\u092f \u0932\u0902\u092c\u0935\u0924 \u0924\u0932\u094b\u0902 \u0935\u093e\u0932\u0947 \u0938\u092e\u0924\u0932 \u0927\u094d\u0930\u0941\u0935\u093f\u0924 \u092a\u094d\u0930\u0915\u093e\u0936 \u0915\u0940 \u0926\u094b \u092a\u0941\u0902\u091c A \u090f\u0935\u0902 B \u090f\u0915 \u092a\u094b\u0932\u0930\u0949\u0907\u0921 \u0926\u094d\u0935\u093e\u0930\u093e \u0926\u0947\u0916\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948\u0964 \u0909\u0938 \u0938\u094d\u0925\u093f\u0924\u093f \u0938\u0947 \u091c\u0939\u093e\u0901 \u092a\u0941\u0902\u091c A \u0915\u093e \u0905\u0927\u093f\u0915\u0924\u092e \u0924\u0940\u0935\u094d\u0930\u0924\u093e \u0939\u0948 (\u0914\u0930 \u092a\u0941\u0902\u091c B \u0915\u0940 \u0936\u0942\u0928\u094d\u092f \u0924\u0940\u0935\u094d\u0930\u0924\u093e \u0939\u0948) \u092a\u094b\u0932\u0930\u0949\u0907\u0921 \u0915\u093e 30\u00b0 \u0915\u0947 \u0918\u0942\u0930\u094d\u0923\u0928 \u0926\u094b\u0928\u094b\u0902 \u092a\u0941\u0902\u091c\u094b\u0902 \u0915\u094b \u090f\u0915\u0938\u092e\u093e\u0928 \u0924\u0940\u0935\u094d\u0930\u0924\u093e \u092a\u094d\u0930\u0924\u0940\u0924 \u0939\u094b\u0924\u093e \u0939\u0948\u0964 \u092f\u0926\u093f \u0926\u094b\u0928\u094b\u0902 \u092a\u0941\u0902\u091c\u094b\u0902 \u0915\u0940 \u092a\u094d\u0930\u093e\u0930\u0902\u092d\u093f\u0915 \u0924\u0940\u0935\u094d\u0930\u0924\u093e \u0915\u094d\u0930\u092e\u0936\u0903 I_A \u090f\u0935\u0902 I_B, \u0924\u092c I_A/I_B \u0915\u093e \u092e\u093e\u0928 \u0939\u0948 :",
"options": [
"1/3",
"3",
"3/2",
"1"
],
"answer": "1",
"original_question_num": "41"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 16,
"question": "\u0915\u094d\u0930\u093e\u0909\u0928 \u0915\u093e\u0901\u091a (\u03bc = 3/2) \u0938\u0947 \u092c\u0928\u0947 \u090f\u0915 \u092a\u0924\u0932\u0947 \u0909\u0924\u094d\u0924\u0932 \u0932\u0947\u0902\u0938 \u0915\u0940 \u092b\u094b\u0915\u0938 \u0932\u092e\u094d\u092c\u093e\u0908 f \u0939\u0948\u0964 \u091c\u092c \u0907\u0938\u0947 \u0905\u092a\u0935\u0930\u094d\u0924\u0915\u093e\u0902\u0915 4/3 \u090f\u0935\u0902 5/3 \u0935\u093e\u0932\u0947 \u0926\u094b \u092d\u093f\u0928\u094d\u0928 \u0926\u094d\u0930\u0935\u094b\u0902 \u092e\u0947\u0902 \u0930\u0916\u0915\u0930 \u092e\u093e\u092a\u093e \u091c\u093e\u0924\u093e \u0939\u0948, \u0924\u092c \u092b\u094b\u0915\u0938 \u0932\u092e\u094d\u092c\u093e\u0907\u092f\u093e\u0901 \u0915\u094d\u0930\u092e\u0936\u0903 f1 \u090f\u0935\u0902 f2 \u0939\u0948\u0902\u0964 \u092b\u094b\u0915\u0938 \u0932\u092e\u094d\u092c\u093e\u0907\u092f\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0938\u0939\u0940 \u0938\u092e\u094d\u092c\u0928\u094d\u0927 \u0939\u0948:",
"options": [
"f1 \u090f\u0935\u0902 f2 \u0926\u094b\u0928\u094b\u0902 \u090b\u0923\u093e\u0924\u094d\u092e\u0915 \u0939\u094b \u091c\u093e\u0924\u0947 \u0939\u0948\u0902\u0964",
"f1 = f2 < f",
"f1 > f \u0914\u0930 f2 \u090b\u0923\u093e\u0924\u094d\u092e\u0915 \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948\u0964",
"f2 > f \u0914\u0930 f1 \u090b\u0923\u093e\u0924\u094d\u092e\u0915 \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948\u0964"
],
"answer": "3",
"original_question_num": "38"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 16,
"question": "\u0926\u094b \u0935\u0943\u0924\u0940\u092f \u092a\u094d\u0932\u0947\u091f\u0947\u0902, \u091c\u093f\u0928\u0915\u0947 \u092c\u0940\u091a \u0926\u0942\u0930\u0940 5 mm \u0939\u0948, \u0938\u0947 \u090f\u0915 \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u092a\u094d\u0932\u0947\u091f\u0940\u092f \u0938\u0902\u0927\u093e\u0930\u093f\u0924\u094d\u0930 \u092c\u0928\u093e\u092f\u093e \u0917\u092f\u093e \u0939\u0948 \u091c\u093f\u0938\u0915\u0947 \u092c\u0940\u091a \u092a\u0930\u093e\u0935\u0948\u0926\u094d\u092f\u0941\u0924 \u0928\u093f\u092f\u0924\u093e\u0902\u0915 2.2 \u0915\u093e \u090f\u0915 \u092a\u0930\u093e\u0935\u0948\u0926\u094d\u092f\u0941\u0924 \u0930\u0916\u093e \u0917\u092f\u093e \u0939\u0948\u0964 \u091c\u092c \u092a\u0930\u093e\u0935\u0948\u0926\u094d\u092f\u0941\u0924 \u092e\u0947\u0902 \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 3 x 10^4 V/m \u0939\u0948, \u0924\u092c \u0927\u0928\u093e\u0924\u094d\u092e\u0915 \u092a\u094d\u0932\u0947\u091f \u0915\u093e \u0906\u0935\u0947\u0936 \u0918\u0928\u0924\u094d\u0935 \u0932\u0917\u092d\u0917 \u0939\u094b\u0917\u093e:",
"options": [
"6 x 10^4 C/m^2",
"6 x 10^-7 C/m^2",
"3 x 10^-7 C/m^2",
"3 x 10^4 C/m^2"
],
"answer": "2",
"original_question_num": "39"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 36,
"question": " \u090f\u0915 \u0935\u0948\u0926\u094d\u092f\u0941\u0924 \u0905\u092a\u0918\u091f\u094d\u092f \u0915\u0940 0.2 M \u0935\u093f\u0932\u092f\u0928 \u0915\u093e \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927 50 \u03a9 \u0939\u0948\u0964 \u0907\u0938 \u0935\u093f\u0932\u092f\u0928 \u0915\u093e \u0935\u093f\u0936\u093f\u0937\u094d\u091f \u091a\u093e\u0932\u0915\u0924\u094d\u0935 1.4 S m\u207b\u00b9 \u0939\u0948\u0964 \u0907\u0938\u0940 \u0935\u0948\u0926\u094d\u092f\u0941\u0924 \u0905\u092a\u0918\u091f\u094d\u092f \u0915\u0947 0.5 M \u0935\u093f\u0932\u092f\u0928 \u0915\u093e \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927 280 \u03a9 \u0939\u0948\u0964 \u0935\u0948\u0926\u094d\u092f\u0941\u0924 \u0905\u092a\u0918\u091f\u094d\u092f \u0915\u0947 0.5 M \u0935\u093f\u0932\u092f\u0928 \u0915\u0940 \u092e\u094b\u0932\u0930 \u091a\u093e\u0932\u0915\u0924\u093e S m\u00b2 \u092e\u094b\u0932\u207b\u00b9 \u092e\u0947\u0902 \u0939\u094b\u0917\u0940 :",
"options": [
"5 \u00d7 10\u00b2",
"5 \u00d7 10\u207b\u2074",
"5 \u00d7 10\u207b\u00b3",
"5 \u00d7 10\u00b3"
],
"answer": "2",
"original_question_num": "85"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 19,
"question": "\u090f\u0915 \u092a\u0943\u0937\u094d\u0920 \u092a\u0930 \u090f\u0915 \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 m \u0915\u093e \u092c\u094d\u0932\u0949\u0915 \u0930\u0916\u093e \u0939\u0948\u0964 \u092a\u0943\u0937\u094d\u0920 \u0915\u0940 \u090a\u0930\u094d\u0927\u094d\u0935\u093e\u0927\u0930 \u0905\u0928\u0941\u092a\u094d\u0930\u0938\u094d\u0925 \u0915\u093e\u091f y = x\u00b3/6 \u0938\u0947 \u0926\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948\u0964 \u092f\u0926\u093f \u0918\u0930\u094d\u0937\u0923 \u0917\u0941\u0923\u093e\u0902\u0915 0.5 \u0939\u0948, \u0924\u092c \u0927\u0930\u0924\u0940 \u0938\u0947 \u090a\u092a\u0930 \u0935\u0939 \u0905\u0927\u093f\u0915\u0924\u092e \u090a\u0901\u091a\u093e\u0908, \u091c\u093f\u0938 \u092a\u0930 \u092c\u093f\u0928\u093e \u092b\u093f\u0938\u0932\u0947 \u092c\u094d\u0932\u0949\u0915 \u0930\u0916\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948, \u0939\u0948 :",
"options": [
"1/2 m",
"1/6 m",
"2/3 m",
"1/3 m"
],
"answer": "2",
"original_question_num": "44"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 19,
"question": "\u0924\u093e\u0901\u092c\u0947, \u092a\u0940\u0924\u0932 \u090f\u0935\u0902 \u0938\u094d\u091f\u0940\u0932 \u0915\u0940 \u0924\u0940\u0928 \u091b\u0921\u093c\u094b\u0902 \u0915\u094b Y - \u0906\u0915\u093e\u0930 \u0938\u0902\u0930\u091a\u0928\u093e \u092e\u0947\u0902 \u0935\u0947\u0932\u094d\u0921 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948\u0964 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u091b\u0921\u093c \u0915\u0940 \u0905\u0928\u0941\u092a\u094d\u0930\u0938\u094d\u0925 \u0915\u093e\u091f \u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 4 cm\u00b2 \u0939\u0948\u0964 \u0924\u093e\u0901\u092c\u0947 \u0915\u0940 \u091b\u0921\u093c \u0915\u0947 \u0938\u093f\u0930\u0947 \u0915\u093e \u0924\u093e\u092a\u092e\u093e\u0928 100\u00b0C \u0939\u0948 \u091c\u092c\u0915\u093f \u092a\u0940\u0924\u0932 \u090f\u0935\u0902 \u0938\u094d\u091f\u0940\u0932 \u0915\u0947 \u0938\u093f\u0930\u0947 0\u00b0C \u0924\u093e\u092a\u092e\u093e\u0928 \u092a\u0930 \u0930\u0916\u0947 \u0917\u090f \u0939\u0948\u0902\u0964 \u0924\u093e\u0901\u092c\u0947, \u092a\u0940\u0924\u0932 \u090f\u0935\u0902 \u0938\u094d\u091f\u0940\u0932 \u0915\u0940 \u0932\u092e\u094d\u092c\u093e\u0907\u092f\u093e\u0901 \u0915\u094d\u0930\u092e\u0936\u0903 46, 13 \u090f\u0935\u0902 12 cms \u0939\u0948\u0902\u0964 \u091b\u0921\u093c\u094b\u0902 \u0915\u0940, \u0909\u0928\u0915\u0947 \u0938\u093f\u0930\u094b\u0902 \u0915\u094b \u091b\u094b\u0921\u093c\u0915\u0930, \u0935\u093e\u0924\u093e\u0935\u0930\u0923 \u0938\u0947 \u090a\u0937\u094d\u092e\u0940\u092f \u0930\u094b\u0927\u0940 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948\u0964 \u0924\u093e\u0901\u092c\u0947, \u092a\u0940\u0924\u0932 \u090f\u0935\u0902 \u0938\u094d\u091f\u0940\u0932 \u0915\u0940 \u090a\u0937\u094d\u092e\u0940\u092f \u091a\u093e\u0932\u0915\u0924\u093e\u090f\u0901 \u0915\u094d\u0930\u092e\u0936\u0903 0.92, 0.26 \u090f\u0935\u0902 0.12 CGS \u0907\u0915\u093e\u0908 \u0939\u0948\u0902\u0964 \u0924\u093e\u0901\u092c\u0947 \u0915\u0940 \u091b\u0921\u093c \u0938\u0947 \u092a\u094d\u0930\u0935\u093e\u0939\u093f\u0924 \u090a\u0937\u094d\u092e\u093e \u0915\u0940 \u0926\u0930 \u0939\u0948 :",
"options": [
"6.0 cal/s",
"1.2 cal/s",
"2.4 cal/s",
"4.8 cal/s"
],
"answer": "4",
"original_question_num": "45"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 23,
"question": " \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 M \u0915\u0947 \u091a\u093e\u0930 \u0915\u0923 \u091c\u094b \u0915\u093f \u090f\u0915 \u0926\u0942\u0938\u0930\u0947 \u0938\u0947 \u0938\u092e\u093e\u0928 \u0926\u0942\u0930\u0940 \u092a\u0930 \u0939\u0948\u0902, \u090f\u0915 \u0926\u0942\u0938\u0930\u0947 \u0915\u0947 \u0905\u0928\u094d\u0924\u0930\u094d\u0928\u093f\u0939\u093f\u0924 \u0917\u0941\u0930\u0941\u0924\u094d\u0935\u093e\u0915\u0930\u094d\u0937\u0923 \u092a\u094d\u0930\u092d\u093e\u0935 \u092e\u0947\u0902 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e R \u0915\u0947 \u090f\u0915 \u0935\u0943\u0924\u094d\u0924 \u092a\u0930 \u0917\u0924\u093f\u0936\u0940\u0932 \u0939\u0948\u0902\u0964 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0915\u0923 \u0915\u0940 \u091a\u093e\u0932 \u0939\u0948 : ",
"options": [
"\\(\\frac{1}{2} \\sqrt{\\frac{GM}{R} (1 + 2\\sqrt{2})}\\)",
"\\(\\sqrt{\\frac{GM}{R}}\\)",
"\\(\\sqrt{2\\sqrt{2} \\frac{GM}{R}}\\)",
"\\(\\sqrt{\\frac{GM}{R} (1 + 2\\sqrt{2})}\\)"
],
"answer": "1",
"original_question_num": "51"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 23,
"question": " \u090f\u0915 \u0915\u0923 \u090f\u0915 \u0938\u0930\u0932 \u0930\u0947\u0916\u093e \u092e\u0947\u0902 \u0938\u0930\u0932 \u0906\u0935\u0930\u094d\u0924 \u0917\u0924\u093f \u0938\u0947 \u0917\u0924\u093f\u0936\u0940\u0932 \u0939\u0948\u0964 \u092f\u0939 \u0935\u093f\u0936\u094d\u0930\u093e\u092e\u093e\u0935\u0938\u094d\u0925\u093e \u0938\u0947 \u092a\u094d\u0930\u093e\u0930\u092e\u094d\u092d \u0915\u0930 \u092a\u094d\u0930\u0925\u092e \u03c4 \u0938\u0947\u0915\u093f\u0923\u094d\u0921 \u092e\u0947\u0902 \u0926\u0942\u0930\u0940 a \u0914\u0930 \u0905\u0917\u0932\u0947 \u03c4 \u0938\u0947\u0915\u093f\u0923\u094d\u0921 \u092e\u0947\u0902 \u0926\u0942\u0930\u0940 2a \u0909\u0938\u0940 \u0926\u093f\u0936\u093e \u092e\u0947\u0902 \u0924\u092f \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u0924\u092c : ",
"options": [
"\u0926\u094b\u0932\u0928\u094b\u0902 \u0915\u093e \u0906\u0935\u0930\u094d\u0924 \u0915\u093e\u0932 6\u03c4 \u0939\u0948\u0964",
"\u0917\u0924\u093f \u0915\u093e \u0906\u092f\u093e\u092e 3a \u0939\u0948\u0964",
"\u0926\u094b\u0932\u0928\u094b\u0902 \u0915\u093e \u0906\u0935\u0930\u094d\u0924 \u0915\u093e\u0932 8\u03c4 \u0939\u0948\u0964",
"\u0917\u0924\u093f \u0915\u093e \u0906\u092f\u093e\u092e 4a \u0939\u0948\u0964"
],
"answer": "1",
"original_question_num": "52"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 35,
"question": " \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0938\u0947\u091f, CH\u2083COOH \u2192 LiAlH\u2084 \u2192 A \u2192 PCl\u2085 \u2192 B \u2192 Alc. KOH \u2192 C \u092e\u0947\u0902 \u0915\u094d\u0930\u093f\u092f\u093e \u092b\u0932 C \u0939\u094b\u0924\u093e \u0939\u0948 :",
"options": [
"\u090f\u0938\u0940\u091f\u093e\u0907\u0932 \u0915\u094d\u0932\u094b\u0930\u093e\u0907\u0921",
"\u090f\u0938\u0940\u091f\u0948\u0932\u094d\u0921\u093f\u0939\u093e\u0907\u0921",
"\u090f\u0938\u0940\u091f\u093f\u0932\u0940\u0928",
"\u0907\u0925\u093e\u0907\u0932\u0940\u0928"
],
"answer": "4",
"original_question_num": "81"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 35,
"question": " CsI\u2083 \u0905\u0923\u0941 \u0915\u0947 \u0932\u093f\u092f\u0947 \u092f\u0925\u093e\u0930\u094d\u0925 \u0915\u0925\u0928 \u0939\u094b\u0917\u093e :",
"options": [
"\u0907\u0938\u092e\u0947\u0902 Cs\u207a, I\u207b \u0914\u0930 I\u2082 \u091c\u093e\u0932\u0915 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902\u0964",
"\u092f\u0939 \u090f\u0915 \u0938\u0939\u0938\u0902\u092f\u094b\u091c\u0915\u0940 \u0905\u0923\u0941 \u0939\u0948\u0964",
"\u0907\u0938\u092e\u0947\u0902 Cs\u207a \u0914\u0930 I\u2083\u207b \u0906\u092f\u0928 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902\u0964",
"\u0907\u0938\u092e\u0947\u0902 Cs\u00b3\u207a \u0914\u0930 I\u207b \u0906\u092f\u0928 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902\u0964"
],
"answer": "3",
"original_question_num": "82"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 35,
"question": " \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e, SO\u2082(g) + 1/2 O\u2082(g) \u21cc SO\u2083(g) \u0915\u0947 \u0932\u093f\u090f K\u209a = Kc(RT)\u02e3 \u0939\u0948 \u091c\u092c\u0915\u093f \u0938\u091a \u0938\u0942\u091a\u0915 \u0905\u0915\u094d\u0937\u0930 \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0905\u0930\u094d\u0925 \u0930\u0916\u0924\u0947 \u0939\u0948\u0902 \u0924\u094b \u0906\u0926\u0930\u094d\u0936\u0924\u093e \u092e\u093e\u0928\u0924\u0947 \u0939\u0941\u090f x \u0915\u093e \u092e\u093e\u0928 \u0939\u094b\u0917\u093e :",
"options": [
"1",
"-1",
"-1/2",
"1/2"
],
"answer": "3",
"original_question_num": "83"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 3,
"question": "\u092f\u0926\u093f X = {4^n - 3n - 1 : n \u2208 N} \u0924\u0925\u093e Y = {9(n - 1) : n \u2208 N}, \u091c\u0939\u093e\u0901 N, \u092a\u094d\u0930\u093e\u0915\u0943\u0924\u093f\u0915 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u093e \u0938\u092e\u0942\u0939 \u0939\u0948, \u0924\u094b X\u222aY \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"Y - X",
"X",
"Y",
"N"
],
"answer": "3",
"original_question_num": "4"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 3,
"question": "\u092f\u0926\u093f A \u090f\u0915 \u0910\u0938\u093e 3\u00d73 \u0935\u094d\u092f\u0941\u0924\u094d\u0915\u094d\u0930\u092e\u0923\u0940\u092f \u0906\u0935\u094d\u092f\u0942\u0939 \u0939\u0948 \u0915\u093f AA' = A'A \u0924\u0925\u093e B = A^-1 A', \u0924\u094b BB' \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"I",
"B^-1",
"(B^-1)'",
"I + B"
],
"answer": "1",
"original_question_num": "5"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 3,
"question": "\u0938\u092e\u093e\u0915\u0932 \u222b(1 + x - 1/x) e^(x + 1/x) dx \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"x e^(x + 1/x) + c",
"(x + 1) e^(x + 1/x) + c",
"-x e^(x + 1/x) + c",
"(x - 1) e^(x + 1/x) + c"
],
"answer": "1",
"original_question_num": "6"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 15,
"question": "\u090f\u0915 \u0921\u093e\u092f\u094b\u0921 \u0915\u0940 \u0927\u093e\u0930\u093e-\u0935\u094b\u0932\u094d\u091f\u0924\u093e \u0938\u092e\u094d\u092c\u0928\u094d\u0927 I=(e^(1000V/T) - 1) mA \u0938\u0947 \u0926\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948, \u091c\u0939\u093e\u0901 V \u0932\u0917\u093e\u0908 \u0917\u0908 \u0935\u094b\u0932\u094d\u091f\u0924\u093e \u092e\u0947\u0902 \u0939\u0948 \u0914\u0930 \u0924\u093e\u092a\u092e\u093e\u0928 T \u0921\u093f\u0917\u094d\u0930\u0940 \u0915\u0947\u0932\u094d\u0935\u093f\u0928 \u092e\u0947\u0902 \u0939\u0948\u0964 \u092f\u0926\u093f \u090f\u0915 \u0935\u093f\u0926\u094d\u092f\u093e\u0930\u094d\u0925\u0940 300 K \u092a\u0930 5 mA \u0927\u093e\u0930\u093e \u0928\u093e\u092a\u0924\u0947 \u0939\u0941\u090f \u092e\u093e\u092a\u0928 \u092e\u0947\u0902 \u00b10.01 V \u0915\u0940 \u0924\u094d\u0930\u0941\u091f\u093f \u0915\u0930\u0924\u093e \u0939\u0948, \u0924\u092c \u0927\u093e\u0930\u093e \u0915\u0947 \u092e\u093e\u0928 \u092e\u0947\u0902 mA \u092e\u0947\u0902 \u0924\u094d\u0930\u0941\u091f\u093f \u0915\u094d\u092f\u093e \u0939\u094b\u0917\u0940?",
"options": [
"0.05 mA",
"0.2 mA",
"0.02 mA",
"0.5 mA"
],
"answer": "2",
"original_question_num": "36"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 15,
"question": "\u090a\u0901\u091a\u093e\u0908 H \u0915\u0940 \u090f\u0915 \u092e\u0940\u0928\u093e\u0930 \u0938\u0947, \u091a\u093e\u0932 u \u0938\u0947 \u090f\u0915 \u0915\u0923 \u0915\u094b \u090a\u0930\u094d\u0927\u094d\u0935\u093e\u0927\u0930 \u090a\u092a\u0930 \u0915\u0940 \u0913\u0930 \u092b\u0947\u0902\u0915\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0915\u0923 \u0915\u0947 \u092a\u0943\u0925\u094d\u0935\u0940 \u0924\u0915 \u0917\u093f\u0930\u0928\u0947 \u092e\u0947\u0902 \u0932\u0917\u093e \u0938\u092e\u092f \u0909\u0938\u0915\u0947 \u0909\u091a\u094d\u091a\u0924\u092e \u092c\u093f\u0928\u094d\u0926\u0941 \u0924\u0915 \u092a\u0939\u0941\u0901\u091a\u0928\u0947 \u0915\u0947 \u0938\u092e\u092f \u0915\u093e n \u0917\u0941\u0928\u093e \u0939\u0948\u0964 H, u \u090f\u0935\u0902 n \u0915\u0947 \u092c\u0940\u091a \u0938\u092e\u094d\u092c\u0928\u094d\u0927 \u0939\u0948:",
"options": [
"g H=(n-2)u^2",
"2 g H=n^2u^2",
"g H=(n-2)^2u^2",
"2 g H=nu^2(n-2)"
],
"answer": "4",
"original_question_num": "37"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 38,
"question": "Which series of reactions correctly represents chemical relations related to iron and its compound?",
"options": [
"Fe \u2192 O\u2082, heat \u2192 Fe\u2083O\u2084 \u2192 CO, 600\u00b0C \u2192 FeO \u2192 CO, 700\u00b0C \u2192 Fe",
"Fe \u2192 dil H\u2082SO\u2084 \u2192 FeSO\u2084 \u2192 H\u2082SO\u2084, O\u2082 \u2192 Fe\u2082(SO\u2084)\u2083 \u2192 heat \u2192 Fe",
"Fe \u2192 O\u2082, heat \u2192 FeO \u2192 dil H\u2082SO\u2084 \u2192 FeSO\u2084 \u2192 heat \u2192 Fe",
"Fe \u2192 Cl\u2082, heat \u2192 FeCl\u2083 \u2192 heat, air \u2192 FeCl\u2082 \u2192 Zn \u2192 Fe"
],
"answer": "4",
"original_question_num": "90"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 38,
"question": "\u0907\u0928\u092e\u0947\u0902 \u0938\u0947 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e\u0913\u0902 \u0915\u093e \u0915\u094c\u0928-\u0938\u093e \u0915\u094d\u0930\u092e \u092f\u0925\u093e\u0930\u094d\u0925 \u0930\u0942\u092a \u092e\u0947\u0902 \u0932\u094b\u0939\u0947 \u0914\u0930 \u0907\u0938\u0915\u0947 \u092f\u094c\u0917\u093f\u0915\u094b\u0902 \u0915\u0940 \u0930\u093e\u0938\u093e\u092f\u0928\u093f\u0915 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e\u0913\u0902 \u0915\u094b \u0928\u093f\u0930\u0942\u092a\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948?",
"options": [
"Fe \u2192 O\u2082, \u0924\u093e\u092a \u2192 Fe\u2083O\u2084 \u2192 CO, 600\u00b0C \u2192 FeO \u2192 CO, 700\u00b0C \u2192 Fe",
"Fe \u2192 \u0924\u0928\u0941 H\u2082SO\u2084 \u2192 FeSO\u2084 \u2192 H\u2082SO\u2084, O\u2082 \u2192 Fe\u2082(SO\u2084)\u2083 \u2192 \u0924\u093e\u092a \u2192 Fe",
"Fe \u2192 O\u2082, \u0924\u093e\u092a \u2192 FeO \u2192 \u0924\u0928\u0941 H\u2082SO\u2084 \u2192 FeSO\u2084 \u2192 \u0924\u093e\u092a \u2192 Fe",
"Fe \u2192 Cl\u2082, \u0924\u093e\u092a \u2192 FeCl\u2083 \u2192 \u0924\u093e\u092a, \u0935\u093e\u092f\u0941 \u2192 FeCl\u2082 \u2192 Zn \u2192 Fe"
],
"answer": "4",
"original_question_num": "90"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 2,
"question": "\u092f\u0926\u093f x = -1 \u0924\u0925\u093e x = 2, f(x) = \u03b1 log |x| + \u03b2x^2 + x \u0915\u0947 \u091a\u0930\u092e\u092c\u093f\u0902\u0926\u0941 \u0939\u0948\u0902, \u0924\u094b :",
"options": [
"\u03b1 = -6, \u03b2 = -1/2",
"\u03b1 = 2, \u03b2 = -1/2",
"\u03b1 = 2, \u03b2 = 1/2",
"\u03b1 = -6, \u03b2 = 1/2"
],
"answer": "2",
"original_question_num": "1"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 2,
"question": "\u0926\u0940\u0930\u094d\u0918\u0935\u0943\u0924\u094d\u0924 x^2 + 3y^2 = 6 \u0915\u0947 \u0915\u0947\u0902\u0926\u094d\u0930 \u0938\u0947 \u0907\u0938\u0915\u0940 \u0915\u093f\u0938\u0940 \u0938\u094d\u092a\u0930\u094d\u0936 \u0930\u0947\u0916\u093e \u092a\u0930 \u0916\u0940\u0902\u091a\u0947 \u0917\u090f \u0932\u0902\u092c \u0915\u0947 \u092a\u093e\u0926 \u0915\u093e \u092c\u093f\u0902\u0926\u0941 \u092a\u0925 \u0939\u0948 :",
"options": [
"(x^2 - y^2)^2 = 6x^2 - 2y^2",
"(x^2 + y^2)^2 = 6x^2 + 2y^2",
"(x^2 + y^2)^2 = 6x^2 - 2y^2",
"(x^2 - y^2)^2 = 6x^2 + 2y^2"
],
"answer": "2",
"original_question_num": "2"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 2,
"question": "\u092e\u093e\u0928\u093e f_k(x) = 1/k (sin^k x + cos^k x) \u0939\u0948, \u091c\u0939\u093e\u0901 x \u2208 R \u0924\u0925\u093e k \u2265 1 \u0939\u0948, \u0924\u094b f_4(x) - f_6(x) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"1/3",
"1/4",
"1/12",
"1/6"
],
"answer": "3",
"original_question_num": "3"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 14,
"question": "\u090f\u0915 \u0916\u0941\u0932\u0940 \u0915\u093e\u0902\u091a \u0915\u0940 \u0928\u0932\u0940 \u0915\u094b \u092a\u093e\u0930\u0947 \u092e\u0947\u0902 \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0921\u0941\u092c\u094b\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0915\u093f \u092a\u093e\u0930\u0947 \u0915\u0947 \u0938\u094d\u0924\u0930 \u0938\u0947 8 cm \u090a\u092a\u0930 \u0915\u093e\u0902\u091a \u0915\u0940 \u0928\u0932\u0940 \u0915\u0940 \u0932\u092e\u094d\u092c\u093e\u0908 \u0939\u0948\u0964 \u0928\u0932\u0940 \u0915\u0947 \u0916\u0941\u0932\u0947 \u0938\u093f\u0930\u0947 \u0915\u094b \u0905\u092c \u092c\u0928\u094d\u0926 \u0915\u0930 \u0938\u0940\u0932 \u0915\u0930 \u0926\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0914\u0930 \u0928\u0932\u0940 \u0915\u094b \u090a\u0930\u094d\u0927\u094d\u0935\u093e\u0927\u0930 \u0905\u0924\u093f\u0930\u093f\u0915\u094d\u0924 46 cm \u0938\u0947 \u090a\u092a\u0930 \u0909\u0920\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0928\u0932\u0940 \u0915\u0947 \u092a\u093e\u0930\u0947 \u0915\u0947 \u090a\u092a\u0930 \u0935\u093e\u092f\u0941 \u0938\u094d\u0924\u092e\u094d\u092d \u0915\u0940 \u0932\u092e\u094d\u092c\u093e\u0908 \u0905\u092c \u0915\u094d\u092f\u093e \u0939\u094b\u0917\u0940?",
"options": [
"6 cm",
"16 cm",
"22 cm",
"38 cm"
],
"answer": "2",
"original_question_num": "34"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 14,
"question": "\u0932\u092e\u094d\u092c\u093e\u0908 l \u0915\u0940 \u090f\u0915 \u0905\u0935\u093f\u0928\u093e\u0936\u0940 \u0921\u094b\u0930\u0940 \u0938\u0947 \u092c\u0902\u0927\u0947 \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 m \u0915\u0947 \u090f\u0915 \u092c\u093f\u0928\u094d\u0926\u0941 \u0915\u094b \u090f\u0915 \u090a\u0930\u094d\u0927\u094d\u0935\u093e\u0927\u0930 \u0906\u0927\u093e\u0930 \u0938\u0947 \u0932\u091f\u0915\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u092c\u093f\u0928\u094d\u0926\u0941 \u0915\u094d\u0937\u0948\u0924\u093f\u091c \u092a\u0930 \u0915\u094b\u0923\u0940\u092f \u091a\u093e\u0932 \u03c9 rad/s \u0938\u0947 \u090f\u0915 \u0935\u0943\u0924\u093e\u0915\u093e\u0930 \u0935\u0943\u0924\u094d\u0924 \u092e\u0947\u0902 \u0918\u0942\u092e\u0928 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u0928\u093f\u0932\u092e\u094d\u092c\u0928 \u092c\u093f\u0928\u094d\u0926\u0941 \u092a\u0930 :",
"options": [
"\u0915\u094b\u0923\u0940\u092f \u0938\u0902\u0935\u0947\u0917 \u0926\u094b\u0928\u094b\u0902 \u0926\u093f\u0936\u093e \u090f\u0935\u0902 \u092a\u0930\u093f\u092e\u093e\u0923 \u092e\u0947\u0902 \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928\u0936\u0940\u0932 \u0939\u0948\u0964",
"\u0915\u094b\u0923\u0940\u092f \u0938\u0902\u0935\u0947\u0917 \u0938\u0902\u0930\u0915\u094d\u0937\u093f\u0924 \u0930\u0939\u0924\u093e \u0939\u0948\u0964",
"\u0915\u094b\u0923\u0940\u092f \u0938\u0902\u0935\u0947\u0917 \u092a\u0930\u093f\u092e\u093e\u0923 \u092e\u0947\u0902 \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928\u0936\u0940\u0932 \u0939\u0948 \u092a\u0930\u0928\u094d\u0924\u0941 \u0926\u093f\u0936\u093e \u092e\u0947\u0902 \u0928\u0939\u0940\u0902\u0964",
"\u0915\u094b\u0923\u0940\u092f \u0938\u0902\u0935\u0947\u0917 \u0926\u093f\u0936\u093e \u092e\u0947\u0902 \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928\u0936\u0940\u0932 \u0939\u0948 \u092a\u0930\u0928\u094d\u0924\u0941 \u092a\u0930\u093f\u092e\u093e\u0923 \u092e\u0947\u0902 \u0928\u0939\u0940\u0902\u0964"
],
"answer": "4",
"original_question_num": "35"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 34,
"question": "\u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 CH\u2083Cl, CH\u2083CH\u2082Cl, (CH\u2083)\u2082CHCl \u0914\u0930 (CH\u2083)\u2083CCl \u0915\u093e SN\u2082 \u0915\u094d\u0930\u093f\u092f\u093e \u092e\u0947\u0902 \u0915\u094d\u0930\u093f\u092f\u093e\u0936\u0940\u0932\u0924\u093e \u0915\u0947 \u0915\u094d\u0930\u092e \u0915\u093e \u0938\u0939\u0940 \u0915\u094d\u0930\u092e \u0915\u094c\u0928 \u0938\u093e \u0939\u0948:",
"options": [
"(CH\u2083)\u2082CHCl > CH\u2083CH\u2082Cl > CH\u2083Cl > (CH\u2083)\u2083CCl",
"CH\u2083Cl > (CH\u2083)\u2082CHCl > CH\u2083CH\u2082Cl > (CH\u2083)\u2083CCl",
"CH\u2083Cl > CH\u2083CH\u2082Cl > (CH\u2083)\u2082CHCl > (CH\u2083)\u2083CCl",
"CH\u2083CH\u2082Cl > CH\u2083Cl > (CH\u2083)\u2082CHCl > (CH\u2083)\u2083CCl"
],
"answer": "3",
"original_question_num": "78"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 34,
"question": "M\u00b3\u207a \u0927\u093e\u0924\u0941 \u0906\u092f\u0928 \u0915\u093e \u090f\u0915 \u0927\u093e\u0924\u0941 \u0932\u093f\u0917\u0948\u0902\u0921, L\u2081, L\u2082, L\u2083 \u0914\u0930 L\u2084 \u0915\u0947 \u0938\u093e\u0925 \u0905\u0935\u0936\u094b\u0937\u0923 \u0938\u094d\u092a\u0947\u0915\u094d\u091f\u094d\u0930\u092e \u0932\u093e\u0932, \u0939\u0930\u0947, \u092a\u0940\u0932\u0947 \u0914\u0930 \u0928\u0940\u0932\u0947 \u0930\u0902\u0917\u094b\u0902 \u092e\u0947\u0902 \u0924\u0930\u0902\u0917\u0926\u0948\u0930\u094d\u0918\u094d\u092f \u0915\u0947 \u0915\u094d\u0930\u092e\u093e\u0928\u0941\u0938\u093e\u0930 \u0905\u0935\u0936\u094b\u0937\u0923 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u091a\u093e\u0930 \u0932\u093f\u0917\u0948\u0902\u0921\u094b\u0902 \u0915\u0940 \u0936\u0915\u094d\u0924\u093f \u0915\u093e \u092c\u0922\u093c\u0924\u093e \u0915\u094d\u0930\u092e \u0939\u0948:",
"options": [
"L\u2081 < L\u2082 < L\u2084 < L\u2083",
"L\u2084 < L\u2083 < L\u2082 < L\u2081",
"L\u2081 < L\u2083 < L\u2082 < L\u2084",
"L\u2083 < L\u2082 < L\u2084 < L\u2081"
],
"answer": "3",
"original_question_num": "79"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 34,
"question": "\u0938\u092e\u0940\u0915\u0930\u0923 \u091c\u094b \u0938\u0902\u0924\u0941\u0932\u093f\u0924 \u0939\u0948 \u0914\u0930 \u092f\u0925\u093e\u0930\u094d\u0925 \u0915\u094d\u0930\u093f\u092f\u093e \u092b\u0932\u094b\u0902 \u0915\u0940 \u0938\u0942\u091a\u0915 \u0939\u0948, \u0939\u0948:",
"options": [
"CuSO\u2084 + 4KCN \u2192 K\u2082[Cu(CN)\u2084] + K\u2082SO\u2084",
"Li\u2082O + 2KCl \u2192 2LiCl + K\u2082O",
"[CoCl(NH\u2083)\u2085]\u207a + 5H\u207a \u2192 Co\u00b2\u207a + 5NH\u2084\u207a + Cl\u207b",
"[Mg(H\u2082O)\u2086]\u00b2\u207a + (EDTA)\u2074\u207b \u2192 [Mg(EDTA)]\u00b2\u207a + 6H\u2082O"
],
"answer": "3",
"original_question_num": "80"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 22,
"question": "\u090f\u0915 \u092e\u093e\u0927\u094d\u092f\u092e \u092e\u0947\u0902 \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u091a\u0941\u0902\u092c\u0915\u0940\u092f \u0924\u0930\u0902\u0917\u094b\u0902 \u0915\u0947 \u0938\u0902\u091a\u093e\u0930\u0923 \u0915\u0947 \u0926\u094c\u0930\u093e\u0928 :",
"options": [
"\u0926\u094b\u0928\u094b\u0902 \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u090f\u0935\u0902 \u091a\u0941\u0902\u092c\u0915\u0940\u092f \u090a\u0930\u094d\u091c\u093e \u0918\u0928\u0924\u094d\u0935 \u0936\u0942\u0928\u094d\u092f \u0939\u0948\u0964",
"\u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u090a\u0930\u094d\u091c\u093e \u0918\u0928\u0924\u094d\u0935 \u091a\u0941\u0902\u092c\u0915\u0940\u092f \u090a\u0930\u094d\u091c\u093e \u0918\u0928\u0924\u094d\u0935 \u0915\u093e \u0926\u094b\u0917\u0941\u0928\u093e \u0939\u0948\u0964",
"\u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u090a\u0930\u094d\u091c\u093e \u0918\u0928\u0924\u094d\u0935 \u091a\u0941\u0902\u092c\u0915\u0940\u092f \u090a\u0930\u094d\u091c\u093e \u0918\u0928\u0924\u094d\u0935 \u0915\u093e \u0906\u0927\u093e \u0939\u0948\u0964",
"\u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u090a\u0930\u094d\u091c\u093e \u0918\u0928\u0924\u094d\u0935 \u091a\u0941\u0902\u092c\u0915\u0940\u092f \u090a\u0930\u094d\u091c\u093e \u0918\u0928\u0924\u094d\u0935 \u0915\u0947 \u092c\u0930\u093e\u092c\u0930 \u0939\u0948\u0964"
],
"answer": "4",
"original_question_num": "49"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 22,
"question": "\u090f\u0915 \u0939\u0930\u0947 \u0930\u0902\u0917 \u0915\u093e \u092a\u094d\u0930\u0915\u093e\u0936 \u092a\u093e\u0928\u0940 \u0938\u0947 \u0935\u093e\u092f\u0941-\u091c\u0932 \u0905\u0902\u0924\u0930\u093e\u092a\u0943\u0937\u094d\u0920 \u092a\u0930 \u0915\u094d\u0930\u093e\u0902\u0924\u093f\u0915 \u0915\u094b\u0923(\u03b8) \u0938\u0947 \u0906\u092a\u0924\u093f\u0924 \u0939\u0948\u0964 \u0938\u0939\u0940 \u0915\u0925\u0928 \u091a\u0941\u0928\u093f\u090f\u0964",
"options": [
"\u0926\u0943\u0936\u094d\u092f \u092a\u094d\u0930\u0915\u093e\u0936 \u0915\u093e \u0938\u092e\u094d\u092a\u0942\u0930\u094d\u0923 \u0938\u094d\u092a\u0947\u0915\u094d\u091f\u094d\u0930\u092e \u092a\u093e\u0928\u0940 \u0938\u0947 \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u0915\u094b\u0923\u094b\u0902 \u092a\u0930 \u092c\u093e\u0939\u0930 \u0928\u093f\u0915\u0932\u0947\u0917\u093e\u0964",
"\u0905\u092d\u093f\u0932\u092e\u094d\u092c \u0938\u0947 90\u00b0 \u0915\u094b\u0923 \u092a\u0930 \u092a\u093e\u0928\u0940 \u0938\u0947 \u0926\u0943\u0936\u094d\u092f \u092a\u094d\u0930\u0915\u093e\u0936 \u0915\u093e \u0938\u092e\u094d\u092a\u0942\u0930\u094d\u0923 \u0938\u094d\u092a\u0947\u0915\u094d\u091f\u094d\u0930\u092e \u092c\u093e\u0939\u0930 \u0928\u093f\u0915\u0932\u0947\u0917\u093e\u0964",
"\u0926\u0943\u0936\u094d\u092f \u092a\u094d\u0930\u0915\u093e\u0936 \u0915\u093e \u0935\u0939 \u0938\u094d\u092a\u0947\u0915\u094d\u091f\u094d\u0930\u092e, \u091c\u093f\u0938\u0915\u0940 \u0924\u0930\u0902\u0917\u0926\u0948\u0930\u094d\u0918\u094d\u092f \u0939\u0930\u0947 \u092a\u094d\u0930\u0915\u093e\u0936 \u0938\u0947 \u0915\u092e \u0939\u0948, \u092a\u093e\u0928\u0940 \u0938\u0947 \u0935\u093e\u092f\u0941 \u0915\u0947 \u092e\u093e\u0927\u094d\u092f\u092e \u092e\u0947\u0902 \u092c\u093e\u0939\u0930 \u0928\u093f\u0915\u0932\u0947\u0917\u093e\u0964",
"\u0926\u0943\u0936\u094d\u092f \u092a\u094d\u0930\u0915\u093e\u0936 \u0915\u093e \u0935\u0939 \u0938\u094d\u092a\u0947\u0915\u094d\u091f\u094d\u0930\u092e, \u091c\u093f\u0938\u0915\u0940 \u0924\u0930\u0902\u0917\u0926\u0948\u0930\u094d\u0918\u094d\u092f \u0939\u0930\u0947 \u092a\u094d\u0930\u0915\u093e\u0936 \u0938\u0947 \u0905\u0927\u093f\u0915 \u0939\u0948, \u092a\u093e\u0928\u0940 \u0938\u0947 \u0935\u093e\u092f\u0941 \u0915\u0947 \u092e\u093e\u0927\u094d\u092f\u092e \u092e\u0947\u0902 \u092c\u093e\u0939\u0930 \u0928\u093f\u0915\u0932\u0947\u0917\u093e\u0964"
],
"answer": "3",
"original_question_num": "50"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 18,
"question": "10 cm \u0932\u092e\u094d\u092c\u093e\u0908 \u0915\u0947 \u090f\u0915 \u0938\u094d\u091f\u0940\u0932 \u0915\u0947 \u0924\u093e\u0930 \u0915\u0947 \u0938\u093f\u0930\u094b\u0902 \u092a\u0930 \u091c\u092c \u0924\u093e\u092a\u092e\u093e\u0928 \u092e\u0947\u0902 \u0935\u0943\u0926\u094d\u0927\u093f 100\u00b0C \u0915\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948 \u0924\u092c \u0907\u0938\u0915\u0940 \u0932\u092e\u094d\u092c\u093e\u0908 \u0938\u094d\u0925\u093f\u0930 \u0930\u0916\u0928\u0947 \u0915\u0947 \u0932\u093f\u092f\u0947 \u0938\u093f\u0930\u094b\u0902 \u092a\u0930 \u0932\u0917\u093e\u092f\u093e \u0917\u092f\u093e \u0926\u093e\u092c \u0939\u0948:",
"options": [
"2.2 x 10^6 \u092a\u093e\u0938\u094d\u0915\u0932",
"2.2 x 10^8 \u092a\u093e\u0938\u094d\u0915\u0932",
"2.2 x 10^9 \u092a\u093e\u0938\u094d\u0915\u0932",
"2.2 x 10^7 \u092a\u093e\u0938\u094d\u0915\u0932"
],
"answer": "2",
"original_question_num": "43"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 5,
"question": "\u092a\u0939\u0932\u0940 50 \u0938\u092e \u092a\u094d\u0930\u093e\u0915\u0943\u0924\u093f\u0915 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u093e \u092a\u094d\u0930\u0938\u0930\u0923 \u0939\u0948 :",
"options": [
"833",
"437",
"437/4",
"833/4"
],
"answer": "1",
"original_question_num": "9"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 5,
"question": "\u092f\u0926\u093f z \u090f\u0915 \u0910\u0938\u0940 \u0938\u092e\u094d\u092e\u093f\u0936\u094d\u0930 \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948 \u0915\u093f |z| \u2265 2 \u0939\u0948, \u0924\u094b z + 1/2 \u0915\u093e \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u092e\u093e\u0928 :",
"options": [
"\u0905\u0902\u0924\u0930\u093e\u0932 (1, 2) \u092e\u0947\u0902 \u0938\u094d\u0925\u093f\u0924 \u0939\u0948\u0964",
"5/2 \u0938\u0947 \u0928\u093f\u0930\u0902\u0924\u0930 \u092c\u0921\u093c\u093e \u0939\u0948\u0964",
"3/2 \u0938\u0947 \u0928\u093f\u0930\u0902\u0924\u0930 \u092c\u0921\u093c\u093e \u0939\u0948 \u092a\u0930\u0902\u0924\u0941 5/2 \u0938\u0947 \u0915\u092e \u0939\u0948\u0964",
"5/2 \u0915\u0947 \u092c\u0930\u093e\u092c\u0930 \u0939\u0948\u0964"
],
"answer": "1",
"original_question_num": "10"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 13,
"question": "\u091c\u092c \u090f\u0915 \u0930\u092c\u0930 \u0915\u0947 \u0939\u0932\u0915\u0947 \u0915\u094b x \u0926\u0942\u0930\u0940 \u0924\u0915 \u0924\u093e\u0928\u093f\u0924 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948; \u0924\u092c \u092a\u094d\u0930\u0924\u094d\u092f\u093e\u0938\u0902 F=ax+bx^2 \u0915\u093e \u090f\u0915 \u092a\u094d\u0930\u0924\u094d\u092f\u093e\u0938\u094d\u0925 \u092c\u0932 \u0932\u0917\u093e\u092f\u093e \u0939\u0948 \u091c\u0939\u093e\u0901 a \u090f\u0935\u0902 b \u0928\u093f\u092f\u0924\u093e\u0902\u0915 \u0939\u0948\u0902\u0964 \u092c\u093f\u0928\u093e \u0924\u093e\u0928\u093f\u0924 \u0930\u092c\u0930 \u0915\u0947 \u0939\u0932\u0915\u0947 \u0915\u094b L \u0938\u0947 \u0924\u093e\u0928\u093f\u0924 \u0915\u0930\u0928\u0947 \u092e\u0947\u0902 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0915\u093e\u0930\u094d\u092f \u0939\u0948 :",
"options": [
"\\(\\frac{1}{2}aL^2 + \\frac{bL^3}{3}\\)",
"aL^2 + bL^3",
"\\(\\frac{1}{2}(aL^2 + bL^3)\\)",
"\\(\\frac{aL^2}{2} + \\frac{bL^3}{3}\\)"
],
"answer": "4",
"original_question_num": "31"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 13,
"question": "\u090f\u0915 \u091b\u094b\u091f\u0947 \u091a\u0941\u092e\u094d\u092c\u0915 \u0915\u0940 \u0928\u093f\u092a\u0941\u0923\u0924\u093e, \u091c\u0939\u093e\u0901 \u0932\u094c\u0939\u091a\u0941\u092e\u094d\u092c\u0915 \u0905\u0928\u0941\u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948, 3 x 10^3 A m^-1 \u0939\u0948\u0964 \u091a\u0915\u094d\u0930\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e 100 \u090f\u0935\u0902 \u0932\u092e\u094d\u092c\u093e\u0908 10 cm \u0915\u0940 \u090f\u0915 \u092a\u0930\u093f\u0928\u093e\u0932\u093f\u0915\u093e \u0938\u0947 \u092a\u094d\u0930\u0935\u093e\u0939\u093f\u0924 \u0906\u0935\u0930\u094d\u0924 \u0927\u093e\u0930\u093e \u092e\u093e\u0928, \u091c\u093f\u0938\u0938\u0947 \u0915\u093f \u091a\u0941\u092e\u094d\u092c\u0915 \u092a\u0930\u093f\u0928\u093e\u0932\u093f\u0915\u093e \u0915\u0947 \u0905\u0928\u094d\u0926\u0930 \u0939\u094b\u0928\u0947 \u092a\u0930 \u0905\u0928\u0941\u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u0939\u094b \u091c\u093e\u092f\u0947, \u0939\u0948 :",
"options": [
"6 A",
"30 mA",
"60 mA",
"3 A"
],
"answer": "4",
"original_question_num": "32"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 13,
"question": "\u090f\u0915 \u092c\u0943\u0939\u0926 \u092d\u0935\u0928 \u092e\u0947\u0902, 40 W \u0915\u0947 15 \u092c\u0932\u094d\u092c, 100 W \u0915\u0947 5 \u092c\u0932\u094d\u092c, 80 W \u0915\u0947 5 \u092a\u0902\u0916\u0947 \u090f\u0935\u0902 1 kW \u0915\u093e 1 \u0939\u0940\u091f\u0930 \u0939\u0948\u0964 \u092d\u0935\u0928 \u0915\u0947 \u092e\u0941\u0916\u094d\u092f \u092a\u0943\u0937\u094d\u0920 \u0915\u093e \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0915\u094d\u0937\u092e\u0924\u093e \u0939\u094b\u0917\u0940 :",
"options": [
"14 A",
"8 A",
"10 A",
"12 A"
],
"answer": "4",
"original_question_num": "33"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 29,
"question": "\u0928\u0940\u091a\u0947 \u0915\u0941\u091b \u0905\u0930\u094d\u0927 \u0938\u0947\u0932 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e\u090f\u0901 \u0926\u0940 \u0917\u0908 \u0939\u0948\u0902 : \nMn\u00b2\u207a + 2e\u207b \u2192 Mn ; E\u00b0 = -1.18 V \n2(Mn\u00b3\u207a + e\u207b \u2192 Mn\u00b2\u207a) ; E\u00b0 = +1.51 V \n3Mn\u00b2\u207a \u2192 Mn + 2Mn\u00b3\u207a \u0915\u0947 \u0932\u093f\u090f E\u00b0 \u0939\u094b\u0917\u093e :",
"options": [
"-0.33 V ; \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0939\u094b\u0917\u0940\u0964",
"-2.69 V ; \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0928\u0939\u0940\u0902 \u0939\u094b\u0917\u0940\u0964",
"-2.69 V ; \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0939\u094b\u0917\u0940\u0964",
"-0.33 V ; \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0928\u0939\u0940\u0902 \u0939\u094b\u0917\u0940\u0964"
],
"answer": "2",
"original_question_num": "64"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 29,
"question": "\u090f\u0925\u0947\u0928\u0949\u0932 \u0915\u0947 \u092a\u0942\u0930\u094d\u0923 \u0926\u0939\u0928 \u0915\u0947 \u0932\u093f\u092f\u0947, \nC\u2082H\u2085OH(l) + 3O\u2082(g) \u2192 2CO\u2082(g) + 3H\u2082O(l), \u092c\u092e \u0915\u0947 \u0915\u0948\u0932\u094b\u0930\u0940\u092e\u0940\u091f\u0930 \u092e\u0947\u0902 \u092e\u093e\u092a\u093f\u0924 \u090a\u0930\u094d\u091c\u093e 25\u00b0C \u092a\u0930 1364.47 kJ mol\u207b\u00b9 \u0939\u0948\u0964 \u0906\u0926\u0930\u094d\u0936\u0924\u093e \u092e\u093e\u0928\u0924\u0947 \u0939\u0941\u090f \u0926\u0939\u0928 \u0915\u0940 \u090f\u0928\u094d\u0925\u0948\u0932\u094d\u092a\u0940, \u0394Hc, \u0939\u094b\u0917\u0940 :",
"options": [
"-1350.50 kJ mol\u207b\u00b9",
"-1366.95 kJ mol\u207b\u00b9",
"-1361.95 kJ mol\u207b\u00b9",
"-1460.50 kJ mol\u207b\u00b9"
],
"answer": "2",
"original_question_num": "65"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 29,
"question": "\u0928\u093e\u0907\u091f\u094d\u0930\u094b\u091c\u0928 \u0915\u0947 \u0906\u0915\u0932\u0928 \u0915\u0947 \u0932\u093f\u090f 1.4 \u0917\u094d\u0930\u093e. \u0915\u093e\u0930\u094d\u092c\u0928\u093f\u0915 \u092f\u094c\u0917\u093f\u0915 \u0915\u0947\u091c\u0947\u0932\u094d\u0921\u0932 \u0935\u093f\u0927\u093f \u0915\u0947 \u0905\u0928\u0941\u0938\u093e\u0930 \u0905\u092a\u091a\u092f\u0928 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0924\u0925\u093e \u092e\u0941\u0915\u094d\u0924 \u0939\u0941\u090f \u0905\u092e\u094b\u0928\u093f\u092f\u093e \u0915\u094b 60 \u092e\u093f\u0932\u0940\u0932\u0940\u091f\u0930 M/10 \u0938\u0932\u094d\u092b\u094d\u092f\u0942\u0930\u093f\u0915 \u0905\u092e\u094d\u0932 \u092e\u0947\u0902 \u0905\u0935\u0936\u094b\u0937\u093f\u0924 \u0915\u093f\u092f\u093e \u0917\u092f\u093e\u0964 \u0905\u0935\u0936\u094b\u0937\u093f\u0924 \u0905\u092e\u094d\u0932 \u0915\u0947 \u092a\u0942\u0930\u094d\u0923 \u0909\u0926\u093e\u0938\u0940\u0928\u0940\u0915\u0930\u0923 \u0915\u0947 \u0932\u093f\u090f 20 \u092e\u093f\u0932\u0940\u0932\u0940\u091f\u0930 M/10 \u0938\u094b\u0921\u093f\u092f\u092e \u0939\u093e\u0907\u0921\u094d\u0930\u0949\u0915\u094d\u0938\u093e\u0907\u0921 \u0915\u0940 \u0906\u0935\u0936\u094d\u092f\u0915\u0924\u093e \u0939\u0941\u0908\u0964 \u092f\u094c\u0917\u093f\u0915 \u092e\u0947\u0902 \u0928\u093e\u0907\u091f\u094d\u0930\u094b\u091c\u0928 \u0915\u0940 \u092a\u094d\u0930\u0924\u093f\u0936\u0924\u0924\u093e \u0939\u0948 :",
"options": [
"5%",
"6%",
"10%",
"3%"
],
"answer": "3",
"original_question_num": "66"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 9,
"question": "\u092f\u0926\u093f a \u2208 R \u0924\u0925\u093e \u0938\u092e\u0940\u0915\u0930\u0923 -3(x - [x])\u00b2 + 2 (x - [x]) + a\u00b2 = 0 (\u091c\u0939\u093e\u0901 [x] \u0909\u0938 \u092c\u0921\u093c\u0947 \u092a\u0942\u0930\u094d\u0923\u093e\u0902\u0915 \u0915\u094b \u0926\u0930\u094d\u0936\u093e\u0924\u093e \u0939\u0948 \u091c\u094b \u2264 x \u0939\u0948) \u0915\u093e \u0915\u094b\u0908 \u092a\u0942\u0930\u094d\u0923\u093e\u0902\u0915 \u0939\u0932 \u0928\u0939\u0940\u0902 \u0939\u0948, \u0924\u094b a \u0915\u0947 \u0938\u092d\u0940 \u0938\u0902\u092d\u0935 \u092e\u093e\u0928 \u091c\u093f\u0938 \u0905\u0902\u0924\u0930\u093e\u0932 \u092e\u0947\u0902 \u0938\u094d\u0925\u093f\u0924 \u0939\u0948\u0902, \u0935\u0939 \u0939\u0948:",
"options": [
"(1, 2)",
"(-2, -1)",
"(-\u221e, -2) \u222a (2, \u221e)",
"(-1, 0) \u222a (0, 1)"
],
"answer": "4",
"original_question_num": "20"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 9,
"question": "\u0938\u092e\u093e\u0915\u0932 \u03c0\u2080 \u221a1 + 4 sin\u00b2 x - 4 sin x/2 dx \u092c\u0930\u093e\u092c\u0930 \u0939\u0948:",
"options": [
"2\u03c0/3 - 4 - 4\u221a3",
"4\u221a3 - 4",
"4\u221a3 - 4 - \u03c0/3",
"\u03c0 - 4"
],
"answer": "3",
"original_question_num": "21"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 9,
"question": "\u092f\u0926\u093f f \u0924\u0925\u093e g, [0, 1] \u092e\u0947\u0902 \u0905\u0935\u0915\u0932\u0928\u0940\u092f \u092b\u0932\u0928 \u0939\u0948\u0902 \u091c\u094b f(0) = 2 = g(1), g(0) = 0 \u0914\u0930 f(1) = 6 \u0915\u094b \u0938\u0902\u0924\u0941\u0937\u094d\u091f \u0915\u0930\u0924\u0947 \u0939\u0948\u0902, \u0924\u094b \u0915\u093f\u0938\u0940 c \u2208]0, 1[ \u0915\u0947 \u0932\u093f\u090f:",
"options": [
"2f'(c) = 3g'(c)",
"f'(c) = g'(c)",
"f'(c) = 2g'(c)",
"2f'(c) = g'(c)"
],
"answer": "3",
"original_question_num": "22"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 25,
"question": "\u0939\u093e\u0907\u0921\u094d\u0930\u094b\u091c\u0928 (1H1), \u0921\u094d\u092f\u0942\u091f\u0947\u0930\u093f\u092f\u092e (1H2), \u090f\u0915\u092c\u093e\u0930 \u0906\u092f\u0928\u093f\u0924 \u0939\u0940\u0932\u093f\u092f\u092e (2He4)+ \u0914\u0930 \u0926\u094d\u0935\u093f \u092c\u093e\u0930 \u0906\u092f\u0928\u093f\u0924 \u0932\u093f\u0925\u093f\u092f\u092e (3Li6)++ \u0938\u092d\u0940 \u092e\u0947\u0902 \u090f\u0915 \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928 \u0928\u093e\u092d\u093f\u0915 \u0915\u0947 \u091a\u093e\u0930\u094b\u0902 \u0913\u0930 \u0939\u0948\u0964 n=2 \u0938\u0947 n=1 \u0915\u0947 \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928 \u0938\u0902\u0915\u094d\u0930\u092e\u0923 \u092a\u0930 \u0935\u093f\u091a\u093e\u0930 \u0915\u0940\u091c\u093f\u092f\u0947\u0964 \u092f\u0926\u093f \u0909\u0924\u094d\u0938\u0930\u094d\u091c\u093f\u0924 \u0935\u093f\u0915\u093f\u0930\u0923 \u0915\u0940 \u0924\u0930\u0902\u0917\u0926\u0948\u0930\u094d\u0927\u094d\u092f \u03bb1, \u03bb2, \u03bb3 \u0914\u0930 \u03bb4 \u0939\u0948, \u0924\u092c \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0935\u093f\u0915\u0932\u094d\u092a\u094b\u0902 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928 \u0938\u093e \u0932\u0917\u092d\u0917 \u0938\u0939\u0940 \u0939\u0948?",
"options": [
"\u03bb1=2\u03bb2=3\u03bb3=4\u03bb4",
"4\u03bb1=2\u03bb2=2\u03bb3=\u03bb4",
"\u03bb1=2\u03bb2=2\u03bb3=\u03bb4",
"\u03bb1=\u03bb2=4\u03bb3=9\u03bb4"
],
"answer": "4",
"original_question_num": "55"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 33,
"question": "\u0910\u0932\u093f\u092b\u0948\u091f\u093f\u0915 \u092a\u094d\u0930\u093e\u0925\u092e\u093f\u0915 \u090f\u092e\u0940\u0928 \u0915\u094b \u0915\u094d\u0932\u094b\u0930\u094b\u092b\u093e\u0930\u094d\u092e \u0914\u0930 \u090f\u0925\u0928\u0949\u0932\u093f\u0915 \u092a\u094b\u091f\u0948\u0936\u093f\u092f\u092e \u0939\u093e\u0907\u0921\u094d\u0930\u0949\u0915\u094d\u0938\u093e\u0907\u0921 \u0915\u0947 \u0938\u093e\u0925 \u0917\u0930\u092e \u0915\u0930\u0928\u0947 \u092a\u0930 \u092c\u0928\u093e \u0906\u0930\u094d\u0917\u0947\u0928\u093f\u0915 \u092f\u094c\u0917\u093f\u0915 \u0939\u094b\u0924\u093e \u0939\u0948 :",
"options": [
"\u090f\u0915 \u0910\u0932\u094d\u0915\u093f\u0932 \u0906\u0907\u0938\u094b\u0938\u093e\u0907\u090f\u0928\u093e\u0907\u0921",
"\u090f\u0915 \u0910\u0932\u094d\u0915\u0928\u094b\u0932",
"\u090f\u0915 \u0910\u0932\u094d\u0915\u0928\u0921\u093e\u092f\u094b\u0932",
"\u090f\u0915 \u0910\u0932\u094d\u0915\u093f\u0932 \u0938\u093e\u092f\u0928\u093e\u0907\u0921"
],
"answer": "1",
"original_question_num": "77"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 32,
"question": "R-CH\u2082-OH \u2192 R-CHO \u092e\u0947\u0902 \u092c\u0926\u0932\u0928\u0947 \u0915\u093e \u0938\u092c\u0938\u0947 \u0905\u0927\u093f\u0915 \u0909\u092a\u092f\u0941\u0915\u094d\u0924 \u0905\u092d\u093f\u0915\u0930\u094d\u092e\u0915 \u0939\u094b\u0924\u093e \u0939\u0948 :",
"options": [
"PCC (\u092a\u093f\u0930\u093f\u0921\u093f\u0928\u093f\u092f\u092e \u0915\u094d\u0932\u094b\u0930\u094b\u0915\u094d\u0930\u094b\u092e\u0947\u091f)",
"KMnO\u2084",
"K\u2082Cr\u2082O\u2087",
"CrO\u2083"
],
"answer": "1",
"original_question_num": "73"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 32,
"question": "CsCl \u0915\u093e \u0915\u0947\u0928\u094d\u0926\u094d\u0930\u0940\u092f \u0918\u0928\u093e\u0915\u093e\u0930 \u091c\u093e\u0932\u0915 \u092e\u0947\u0902 \u0915\u094d\u0930\u093f\u0938\u094d\u091f\u0932\u0940\u092f \u0939\u094b\u0924\u093e \u0939\u0948\u0964 \u092f\u0926\u093f \u0915\u093f\u0928\u093e\u0930\u0947 \u0915\u0940 \u0932\u092e\u094d\u092c\u093e\u0908 'a' \u0939\u094b \u0924\u094b \u0928\u093f\u092e\u094d\u0928 \u0938\u0942\u0924\u094d\u0930\u094b\u0902 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928-\u0938\u093e \u0920\u0940\u0915 \u0939\u094b\u0917\u093e ?",
"options": [
"rCs+ + rCl- = \u221a3a",
"rCs+ + rCl- = 3a",
"rCs+ + rCl- = 3a/2",
"rCs+ + rCl- = \u221a3/2 a"
],
"answer": "4",
"original_question_num": "74"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 32,
"question": "\u0928\u093f\u092e\u094d\u0928 \u0915\u093f\u0928 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e\u0913\u0902 \u092e\u0947\u0902 H\u2082O\u2082 \u090f\u0915 \u0905\u092a\u091a\u093e\u092f\u0915 \u0915\u093e \u0915\u093e\u092e \u0915\u0930\u0924\u093e \u0939\u0948?",
"options": [
"(b), (d)",
"(a), (b)",
"(c), (d)",
"(a), (c)"
],
"answer": "1",
"original_question_num": "75"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 8,
"question": "lim x\u21920 sin(\u03c0 cos\u00b2 x) / x\u00b2 \u0915\u093e \u092e\u093e\u0928 \u0939\u0948 :",
"options": [
"1",
"-\u03c0",
"\u03c0",
"\u03c0/2"
],
"answer": "3",
"original_question_num": "17"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 8,
"question": "\u092e\u093e\u0928\u094b \u03b1 \u0924\u0925\u093e \u03b2 \u0938\u092e\u0940\u0915\u0930\u0923 px\u00b2 + qx + r = 0, p\u22600 \u0915\u0947 \u092e\u0942\u0932 \u0939\u0948\u0902\u0964 \u092f\u0926\u093f p, q, r \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u0936\u094d\u0930\u0947\u0923\u0940 \u092e\u0947\u0902 \u0939\u0948\u0902 \u0924\u0925\u093e 1/\u03b1 + 1/\u03b2 = 4 \u0939\u0948, \u0924\u094b |\u03b1 - \u03b2| \u0915\u093e \u092e\u093e\u0928 \u0939\u0948 :",
"options": [
"2\u221a17 / 9",
"\u221a34 / 9",
"2\u221a13 / 9",
"\u221a61 / 9"
],
"answer": "3",
"original_question_num": "18"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 8,
"question": "\u090f\u0915 \u092a\u0915\u094d\u0937\u0940 20 \u092e\u0940. \u090a\u0901\u091a\u0947 \u090f\u0915 \u090a\u0930\u094d\u0927\u094d\u0935\u093e\u0927\u0930 \u0916\u0902\u092d\u0947 \u0915\u0947 \u0936\u093f\u0916\u0930 \u092a\u0930 \u092c\u0948\u0920\u093e \u0939\u0948 \u0924\u0925\u093e \u0907\u0938\u0915\u093e \u092d\u0942\u092e\u093f \u0915\u0947 \u090f\u0915 \u092c\u093f\u0902\u0926\u0941 O \u0938\u0947 \u0909\u0928\u094d\u0928\u092f\u0928 \u0915\u094b\u0923 45\u00b0 \u0939\u0948\u0964 \u092f\u0939 \u092a\u0915\u094d\u0937\u0940 O \u0938\u0947 \u0938\u0940\u0927\u0947 \u0915\u094d\u0937\u0948\u0924\u093f\u091c \u0909\u0921\u093c\u093e\u0928 \u092d\u0930\u0924\u093e \u0939\u0948\u0964 \u090f\u0915 \u0938\u0947\u0915\u0902\u0921 \u0915\u0947 \u092c\u093e\u0926, O \u0938\u0947 \u092a\u0915\u094d\u0937\u0940 \u0915\u093e \u0909\u0928\u094d\u0928\u092f\u0928 \u0915\u094b\u0923 \u0918\u091f \u0915\u0930 30\u00b0 \u0930\u0939 \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0924\u094b (\u092e\u0940./\u0938\u0947. \u092e\u0947\u0902) \u092a\u0915\u094d\u0937\u0940 \u0915\u0940 \u091a\u093e\u0932 \u0939\u0948 :",
"options": [
"40(\u221a3 - \u221a2)",
"20\u221a2",
"20(\u221a3 - 1)",
"40(\u221a2 - 1)"
],
"answer": "3",
"original_question_num": "19"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 28,
"question": "\u0907\u0928\u092e\u0947\u0902 \u0938\u0947 \u0915\u093f\u0938\u0915\u094b \u0915\u0902\u0921\u0947\u0928\u094d\u0938\u0947\u0936\u0928 \u092c\u0939\u0941\u0932\u0915 \u092e\u093e\u0928\u093e \u091c\u093e\u092f\u0947\u0917\u093e ?",
"options": [
"\u0910\u0915\u094d\u0930\u093f\u0932\u094b\u0928\u093e\u0907\u091f\u094d\u0930\u093e\u0907\u0932",
"\u0921\u0948\u0915\u094d\u0930\u093e\u0928",
"\u0928\u093f\u092f\u094b\u092a\u094d\u0930\u0940\u0928",
"\u091f\u0947\u092b\u094d\u0932\u093e\u0928"
],
"answer": "2",
"original_question_num": "61"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 28,
"question": "NO \u0915\u094c\u0928-\u0938\u093e \u0917\u0941\u0923 \u092a\u094d\u0930\u0926\u0930\u094d\u0936\u093f\u0924 \u0928\u0939\u0940\u0902 \u0915\u0930\u0924\u093e \u0939\u0948 ?",
"options": [
"\u0907\u0938\u0915\u0940 \u092c\u0928\u094d\u0927 \u0915\u094b\u091f\u093f 2.5 \u0939\u0948\u0964",
"\u0917\u0948\u0938\u0940\u092f \u0905\u0935\u0938\u094d\u0925\u093e \u092e\u0947\u0902 \u092a\u094d\u0930\u0924\u093f\u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u0939\u0948\u0964",
"\u092f\u0939 \u090f\u0915 \u0909\u0926\u093e\u0938\u0940\u0928 \u0911\u0915\u094d\u0938\u093e\u0907\u0921 \u0939\u0948\u0964",
"\u092f\u0939 \u0911\u0915\u094d\u0938\u0940\u091c\u0928 \u0938\u0947 \u092f\u094b\u0917 \u0915\u0930 \u0928\u093e\u0907\u091f\u094d\u0930\u094b\u091c\u0928 \u0921\u093e\u0908\u0911\u0915\u094d\u0938\u093e\u0907\u0921 \u092c\u0928\u093e\u0924\u093e \u0939\u0948\u0964"
],
"answer": "2",
"original_question_num": "62"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 4,
"question": "A = {(x, y) : x\u00b2 + y\u00b2 \u2264 1 \u0924\u0925\u093e y\u00b2 \u2264 1 - x} \u0915\u0947 \u0926\u094d\u0935\u093e\u0930\u093e \u092a\u094d\u0930\u0926\u0924\u094d\u0924 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u0939\u0948 :",
"options": [
"\u03c0/2 - 4/3",
"\u03c0/2 - 2/3",
"\u03c0/2 + 2/3",
"\u03c0/2 + 4/3"
],
"answer": "4",
"original_question_num": "7"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 4,
"question": "\u0938\u092e\u0924\u0932 2x - y + z + 3 = 0 \u092e\u0947\u0902 \u0930\u0947\u0916\u093e x - 1/3 = y - 3/1 = z - 4/-5 \u0915\u0947 \u092a\u094d\u0930\u0924\u093f\u0935\u093f\u0902\u092c \u0935\u093e\u0932\u0940 \u0930\u0947\u0916\u093e \u0939\u0948 :",
"options": [
"x + 3/-3 = y - 5/-1 = z + 2/5",
"x - 3/3 = y + 5/1 = z - 2/-5",
"x - 3/-3 = y + 5/-1 = z - 2/5",
"x + 3/3 = y - 5/1 = z - 2/-5"
],
"answer": "4",
"original_question_num": "8"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 12,
"question": "\u092e\u093e\u0928 \u0932\u0940\u091c\u093f\u090f C \u090f\u0915 \u0935\u0943\u0924\u094d\u0924 \u0939\u0948 \u091c\u093f\u0938\u0915\u093e \u0915\u0947\u0902\u0926\u094d\u0930 (1, 1) \u092a\u0930 \u0939\u0948 \u0924\u0925\u093e \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e = 1 \u0939\u0948\u0964 \u092f\u0926\u093f T \u0935\u0939 \u0935\u0943\u0924\u094d\u0924 \u0939\u0948 \u091c\u093f\u0938\u0915\u093e \u0915\u0947\u0902\u0926\u094d\u0930 (0, y) \u0939\u0948, \u091c\u094b \u092e\u0942\u0932 \u092c\u093f\u0902\u0926\u0941 \u0938\u0947 \u0939\u094b \u0915\u0930 \u091c\u093e\u0924\u093e \u0939\u0948 \u0924\u0925\u093e \u0935\u0943\u0924\u094d\u0924 C \u0915\u094b \u092c\u093e\u0939\u0930\u0940 \u0930\u0942\u092a \u0938\u0947 \u0938\u094d\u092a\u0930\u094d\u0936 \u0915\u0930\u0924\u093e \u0939\u0948, \u0924\u094b T \u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"\u221a3/2",
"1/2",
"1/4",
"\u221a3/\u221a2"
],
"answer": "3",
"original_question_num": "29"
},
{
"language": "hi",
"country": "India",
"file_name": "7533dd2331406c24521786976f16f31f",
"source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 12,
"question": "\u0926\u094b \u0930\u0947\u0916\u093e\u090f\u0901, \u091c\u093f\u0928\u0915\u0947 \u0926\u093f\u0936\u093e-\u0915\u094b\u0938\u093e\u0907\u0928, \u0938\u092e\u0940\u0915\u0930\u0923\u094b\u0902 l + m + n = 0 \u0924\u0925\u093e l\u00b2 = m\u00b2 + n\u00b2 \u0915\u094b \u0938\u0902\u0924\u0941\u0937\u094d\u091f \u0915\u0930\u0924\u0947 \u0939\u0948\u0902, \u0915\u0947 \u092c\u0940\u091a \u0915\u093e \u0915\u094b\u0923 \u0939\u0948 :",
"options": [
"\u03c0/4",
"\u03c0/6",
"\u03c0/2",
"\u03c0/3"
],
"answer": "4",
"original_question_num": "30"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 16,
"question": "\u092f\u0926\u093f \u091a\u0941\u0902\u092c\u0915\u0940\u092f \u0915\u094d\u0937\u0947\u0924\u094d\u0930 'B' \u0915\u0947 \u092a\u094d\u0930\u092d\u093e\u0935 \u0938\u0947, \u0938\u092e\u0924\u0932 \u092e\u0947\u0902 \u0917\u0924\u093f \u0915\u0930\u0924\u0947 \u0939\u0941\u090f, 'm' \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 \u0924\u0925\u093e 'q' \u0906\u0935\u0947\u0936 \u0915\u0947 \u0915\u0923 \u092a\u0930, \u092c\u094b\u0939\u0930 \u092e\u0949\u0921\u0932 \u0932\u093e\u0917\u0942 \u0915\u093f\u092f\u093e (\u092a\u094d\u0930\u092f\u094b\u0917 \u092e\u0947\u0902 \u0932\u093e\u092f\u093e) \u091c\u093e\u090f \u0924\u094b, \u0906\u0935\u0947\u0936\u093f\u0924 \u0915\u0923 \u0915\u0940 n\u0935\u0940\u0902 \u0938\u094d\u0924\u0930 \u092e\u0947\u0902 \u090a\u0930\u094d\u091c\u093e \u0939\u094b\u0917\u0940 :",
"options": [
"n (hqB / 2\u03c0m)",
"n (hqB / 4\u03c0m)",
"n (hqB / 8\u03c0m)",
"n (hqB / \u03c0m)"
],
"answer": "2",
"original_question_num": "28"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 16,
"question": "\u0915\u093f\u0938\u0940 \u0905-\u0935\u093e\u0930\u094d\u0937\u093f\u0924 n-p \u0938\u0902\u0927\u093f \u092e\u0947\u0902 \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928 n - \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0938\u0947 p - \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0915\u094b \u0935\u093f\u0938\u0930\u093f\u0924 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902 \u0915\u094d\u092f\u094b\u0902\u0915\u093f :",
"options": [
"p - \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u092e\u0947\u0902 \u091b\u093f\u0926\u094d\u0930 (\u0939\u094b\u0932) \u0909\u0928\u094d\u0939\u0947\u0902 \u0906\u0915\u0930\u094d\u0937\u093f\u0924 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964",
"\u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928 \u0935\u093f\u092d\u0935\u093e\u0902\u0924\u0930 \u0915\u0947 \u0915\u093e\u0930\u0923 \u0938\u0902\u0927\u093f \u0915\u0947 \u092a\u093e\u0930 \u091a\u0932\u0947 \u091c\u093e\u0924\u0947 \u0939\u0948\u0902\u0964",
"n - \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u092e\u0947\u0902 \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928\u094b\u0902 \u0915\u0940 \u0938\u093e\u0902\u0926\u094d\u0930\u0924\u093e p - \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0938\u0947 \u0905\u0927\u093f\u0915 \u0939\u094b\u0924\u0940 \u0939\u0948\u0964",
"\u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928 \u0915\u0947\u0935\u0932 n \u0938\u0947 p \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0915\u094b \u091c\u093e\u0924\u0947 \u0939\u0948\u0902 \u0907\u0938\u0915\u0947 \u0935\u093f\u092a\u0930\u0940\u0924 (p \u0938\u0947 n \u0915\u094b) \u0928\u0939\u0940\u0902\u0964"
],
"answer": "3",
"original_question_num": "29"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 20,
"question": "\u0917\u0948\u0938\u0940\u092f N\u2082O\u2084 \u0917\u0948\u0938\u0940\u092f NO\u2082 \u092e\u0947\u0902 \u0928\u093f\u092e\u094d\u0928 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0947 \u0905\u0928\u0941\u0938\u093e\u0930 \u0935\u093f\u0918\u091f\u093f\u0924 \u0939\u094b\u0924\u093e \u0939\u0948:\nN\u2082O\u2084(g) \u21cc 2NO\u2082(g)\n300 K \u0914\u0930 1 atm \u0926\u093e\u092c \u092a\u0930, N\u2082O\u2084 \u0915\u0940 \u0935\u093f\u0918\u091f\u0928 \u092e\u093e\u0924\u094d\u0930\u093e 0.2 \u0939\u0948\u0964 \u0905\u0917\u0930 \u090f\u0915 \u092e\u094b\u0932 N\u2082O\u2084 \u0917\u0948\u0938 \u0915\u094b \u090f\u0915 \u092a\u093e\u0924\u094d\u0930 \u092e\u0947\u0902 \u0932\u093f\u092f\u093e \u091c\u093e\u090f \u0924\u092c \u0938\u093e\u092e\u094d\u092f \u092e\u093f\u0936\u094d\u0930\u0923 \u0915\u093e \u0918\u0928\u0924\u094d\u0935 \u0939\u0948 :",
"options": [
"1.56 g/L",
"3.11 g/L",
"4.56 g/L",
"6.22 g/L"
],
"answer": "3",
"original_question_num": "7"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 20,
"question": "1.1 V \u0935\u093f\u0937\u092f \u0915\u0947 \u0938\u0947\u0932 Zn|Zn\u00b2\u207a (1 M) || Cu\u00b2\u207a (1 M) | Cu, \u092e\u0947\u0902 \u090f\u0915 \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0940 \u0935\u093f\u092a\u0930\u0940\u0924 \u092c\u093e\u0939\u094d\u092f \u0935\u093f\u0937\u092f (E\u2091\u2093\u209c) \u0932\u0917\u093e\u092f\u093e \u0917\u092f\u093e\u0964 \u091c\u092c E\u2091\u2093\u209c < 1.1 V \u0924\u0925\u093e E\u2091\u2093\u209c > 1.1 V, \u0935\u0947 \u0924\u092c \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928\u094b\u0902 \u0915\u093e \u092a\u094d\u0930\u0935\u093e\u0939 \u0939\u094b\u0924\u093e \u0939\u0948:",
"options": [
"\u090f\u0928\u094b\u0921 \u0938\u0947 \u0915\u0948\u0925\u094b\u0921 \u0924\u0925\u093e \u0915\u0948\u0925\u094b\u0921 \u0938\u0947 \u090f\u0928\u094b\u0921",
"\u0915\u0948\u0925\u094b\u0921 \u0938\u0947 \u090f\u0928\u094b\u0921 \u0924\u0925\u093e \u090f\u0928\u094b\u0921 \u0938\u0947 \u0915\u0948\u0925\u094b\u0921",
"\u0926\u094b\u0928\u094b\u0902 \u0938\u094d\u0925\u093f\u0924 \u092e\u0947\u0902 \u0915\u0948\u0925\u094b\u0921 \u0938\u0947 \u090f\u0928\u094b\u0921",
"\u0926\u094b\u0928\u094b\u0902 \u0938\u094d\u0925\u093f\u0924 \u092e\u0947\u0902 \u090f\u0928\u094b\u0921 \u0938\u0947 \u0915\u0948\u0925\u094b\u0921"
],
"answer": "1",
"original_question_num": "8"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 3,
"question": "\u0915\u093f\u0938\u0940 \u092c\u094d\u0932\u0949\u0915 \u0915\u093e \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 m = 0.1 kg \u0939\u0948\u0964 \u092f\u0939 \u090f\u0915 \u0910\u0938\u0940 \u0915\u092e\u093e\u0928\u0940 (\u0938\u094d\u092a\u094d\u0930\u093f\u0902\u0917) \u0938\u0947 \u091c\u0941\u0921\u093c\u093e \u0939\u0948 \u091c\u093f\u0938\u0915\u093e \u0915\u092e\u093e\u0928\u0940 \u0938\u094d\u0925\u093f\u0930\u093e\u0902\u0915 k \u0939\u0948\u0964 \u0907\u0938\u0915\u094b \u0907\u0938\u0915\u0940 \u0938\u093e\u092e\u094d\u092f\u093e\u0935\u0938\u094d\u0925\u093e \u0938\u0947 x \u0926\u0942\u0930\u0940 \u0924\u0915 \u0938\u0902\u092a\u0940\u0921\u093f\u0924 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0914\u0930 \u091b\u094b\u0921\u093c \u0926\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0938\u093e\u092e\u094d\u092f\u093e\u0935\u0938\u094d\u0925\u093e \u0938\u0947 x/2 \u0926\u0942\u0930\u0940 \u0924\u092f \u0915\u0930\u0928\u0947 \u092a\u0930 \u092f\u0939 \u090f\u0915 \u0905\u0928\u094d\u092f \u092c\u094d\u0932\u0949\u0915 \u0938\u0947 \u091f\u0915\u0930\u093e\u0924\u093e \u0939\u0948 \u0914\u0930 \u0915\u094d\u0937\u0923\u093f\u0915 \u0930\u0942\u092a \u0938\u0947 \u0930\u0941\u0915 \u091c\u093e\u0924\u093e \u0939\u0948, \u091c\u092c\u0915\u093f, \u0926\u0942\u0938\u0930\u093e \u092c\u094d\u0932\u0949\u0915 3 ms-1 \u0915\u0947 \u0935\u0947\u0917 \u0938\u0947 \u0917\u0924\u093f \u0915\u0930\u0928\u0947 \u0932\u0917\u0924\u093e \u0939\u0948\u0964 \u0924\u094b, \u0915\u092e\u093e\u0928\u0940 \u0915\u0940 \u0915\u0941\u0932 \u092a\u094d\u0930\u093e\u0930\u0902\u092d\u093f\u0915 \u090a\u0930\u094d\u091c\u093e \u0939\u0948 :",
"options": [
"1.5 J",
"0.6 J",
"0.3 J",
"0.8 J"
],
"answer": "2",
"original_question_num": "4"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 3,
"question": "'m' \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 \u0915\u0947 \u0915\u093f\u0938\u0940 \u090f\u0915\u0938\u092e\u093e\u0928 \u0920\u094b\u0938 \u0938\u093f\u0932\u093f\u0902\u0921\u0930 \u0915\u0947 \u0915\u0947\u0902\u0926\u094d\u0930 \u092a\u0930 \u090f\u0915 \u092c\u0932 F \u0932\u0917\u093e\u0915\u0930, \u0909\u0938\u0947 \u0915\u093f\u0938\u0940 \u0938\u092e\u0924\u0932 \u0938\u0924\u0939 \u092a\u0930, \u0909\u0938\u0915\u0947 \u0938\u092e\u093e\u0928\u093e\u0902\u0924\u0930 \u0916\u0940\u0902\u091a\u093e \u091c\u093e \u0930\u0939\u093e \u0939\u0948\u0964 \u092f\u0926\u093f \u092f\u0939 \u0938\u093f\u0932\u093f\u0902\u0921\u0930 \u092c\u0917\u0948\u0930 (\u092c\u093f\u0928\u093e) \u092b\u093f\u0938\u0932\u0947 'a' \u0924\u094d\u0935\u0930\u0923 \u0938\u0947 \u0932\u0941\u0922\u093c\u0915 \u0930\u0939\u093e \u0939\u0948, \u0924\u094b, 'F' \u0915\u093e \u092e\u093e\u0928 \u0939\u0948 :",
"options": [
"ma",
"2 ma",
"3/2 ma",
"5/3 ma"
],
"answer": "3",
"original_question_num": "5"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 21,
"question": "\u0928\u093f\u092e\u094d\u0928 \u0915\u0925\u0928 \u0920\u094b\u0938 \u092a\u0943\u0937\u094d\u0920 \u092a\u0930 \u0917\u0948\u0938\u094b\u0902 \u0915\u0947 \u0905\u0935\u0936\u094b\u0937\u0923 \u0915\u0947 \u0938\u0902\u0926\u0930\u094d\u092d \u092e\u0947\u0902 \u0939\u0948\u0902\u0964 \u0907\u0928\u092e\u0947\u0902 \u0938\u0947 \u0917\u0932\u0924 \u0915\u0925\u0928 \u0939\u0948 :",
"options": [
"\u0905\u0935\u0936\u094b\u0937\u0923 \u0915\u0940 \u090f\u0928\u094d\u0925\u0948\u0932\u094d\u092a\u0940 \u090b\u0923\u093e\u0924\u094d\u092e\u0915 \u0939\u0948\u0964",
"\u0905\u0935\u0936\u094b\u0937\u0923 \u0915\u0940 \u090f\u0902\u091f\u094d\u0930\u0949\u092a\u0940 \u090b\u0923\u093e\u0924\u094d\u092e\u0915 \u0939\u0948\u0964",
"\u0905\u0935\u0936\u094b\u0937\u0923 \u092a\u0930, \u092a\u0943\u0937\u094d\u0920 \u092a\u0930 \u0905\u0935\u0936\u093f\u0937\u094d\u091f \u092c\u0932 \u092c\u0922\u093c\u0924\u0947 \u0939\u0948\u0902\u0964",
"\u0905\u0935\u0936\u094b\u0937\u0923 \u092a\u0930, \u092a\u0943\u0937\u094d\u0920 \u090a\u0930\u094d\u091c\u093e \u0915\u093e \u0939\u094d\u0930\u093e\u0938 \u090a\u0937\u094d\u092e\u093e \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u092a\u094d\u0930\u0915\u091f \u0939\u094b\u0924\u093e \u0939\u0948\u0964"
],
"answer": "1",
"original_question_num": "10"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 21,
"question": "\u0906\u0935\u0930\u094d\u0924 \u0938\u093e\u0930\u0923\u0940 \u0915\u0947 \u0926\u0940\u0930\u094d\u0918 \u0938\u094d\u0935\u0930\u0942\u092a \u092e\u0947\u0902, \u0905\u0917\u0930 \u0938\u0902\u092f\u094b\u091c\u0940 \u0915\u094b\u0937 \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928 \u0935\u093f\u0928\u094d\u092f\u093e\u0938 5s\u00b2 5p\u2074 \u0939\u0948 \u0924\u092c \u0935\u0939 \u0924\u0924\u094d\u0935 \u0909\u092a\u0938\u094d\u0925\u093f\u0924 \u0939\u0948 :",
"options": [
"\u0935\u0930\u094d\u0917 16 \u0914\u0930 \u0906\u0935\u0930\u094d\u0924 6 \u092e\u0947\u0902",
"\u0935\u0930\u094d\u0917 17 \u0914\u0930 \u0906\u0935\u0930\u094d\u0924 5 \u092e\u0947\u0902",
"\u0935\u0930\u094d\u0917 16 \u0914\u0930 \u0906\u0935\u0930\u094d\u0924 5 \u092e\u0947\u0902",
"\u0935\u0930\u094d\u0917 17 \u0914\u0930 \u0906\u0935\u0930\u094d\u0924 6 \u092e\u0947\u0902"
],
"answer": "3",
"original_question_num": "11"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 21,
"question": "\u0927\u093e\u0924\u0941\u0913\u0902 \u0915\u0947 \u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937\u0923 \u092e\u0947\u0902, \u0928\u093f\u0938\u094d\u0924\u093e\u092a\u0928 \u0938\u0947 \u0905\u0915\u094d\u0938\u0930 \u092c\u0928\u0924\u0947 \u0939\u0948\u0902 :",
"options": [
"\u0927\u093e\u0924\u0941 \u0915\u093e\u0930\u094d\u092c\u094b\u0928\u0947\u091f",
"\u0927\u093e\u0924\u0941 \u0911\u0915\u094d\u0938\u093e\u0907\u0921",
"\u0927\u093e\u0924\u0941 \u0938\u0932\u094d\u092b\u093e\u0907\u0921",
"\u0927\u093e\u0924\u0941 \u0939\u093e\u0907\u0921\u094d\u0930\u0949\u0915\u094d\u0938\u093e\u0907\u0921"
],
"answer": "4",
"original_question_num": "12"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 21,
"question": "\u091c\u0932 \u0915\u0940 \u0938\u094d\u0925\u093e\u092f\u0940 \u0915\u0920\u094b\u0930\u0924\u093e \u0915\u094b \u0907\u0938 \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e \u0938\u0947 \u0920\u0940\u0915 \u0928\u0939\u0940\u0902 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948 :",
"options": [
"\u0909\u092c\u093e\u0932\u0928\u093e",
"\u0906\u092f\u0928 \u0935\u093f\u0928\u093f\u092e\u092f \u0935\u093f\u0927\u093f",
"\u0915\u0948\u0932\u0917\u0949\u0928 \u0935\u093f\u0927\u093f",
"\u0927\u093e\u0935\u0928 \u0938\u094b\u0921\u093e \u0915\u0947 \u0909\u092a\u091a\u093e\u0930 \u0938\u0947"
],
"answer": "2",
"original_question_num": "13"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 17,
"question": "\u0938\u094d\u091f\u0940\u0932 \u0915\u0940 \u090f\u0915 \u0917\u094b\u0932\u0940 \u0915\u093e \u0935\u094d\u092f\u093e\u0938 \u090f\u0915 \u0910\u0938\u0947 \u0935\u0930\u094d\u0928\u093f\u092f\u0930 \u0915\u0948\u0932\u093f\u092a\u0930\u094d\u0938 \u0938\u0947 \u0928\u093e\u092a\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u091c\u093f\u0938\u0915\u0947 \u092e\u0941\u0916\u094d\u092f \u092a\u0948\u092e\u093e\u0928\u0947 \u0915\u093e \u090f\u0915 \u092d\u093e\u0917 (MSD) 0.1 cm \u0939\u0948, \u0924\u0925\u093e \u0907\u0938\u092e\u0947\u0902 \u0935\u0930\u094d\u0928\u093f\u092f\u0930 \u092a\u0948\u092e\u093e\u0928\u0947 (VS) \u0915\u0947 10 \u092d\u093e\u0917, \u092e\u0941\u0916\u094d\u092f \u092a\u0948\u092e\u093e\u0928\u0947 \u0915\u0947 9 \u092d\u093e\u0917\u094b\u0902 \u0915\u0947 \u092c\u0930\u093e\u092c\u0930 \u0939\u0948\u0902\u0964 \u0917\u094b\u0932\u0940 \u0915\u0947 \u0935\u094d\u092f\u093e\u0938 \u0915\u0947 \u0932\u093f\u092f\u0947 \u0924\u0940\u0928 \u092a\u0920\u0928\u093e\u0902\u0915 (\u0930\u0940\u0921\u093f\u0902\u0917) \u092f\u0939\u093e\u0901 \u0926\u093f\u092f\u0947 \u0917\u092f\u0947 \u0939\u0948\u0902:\n\u0915\u094d\u0930\u092e\u093e\u0902\u0915 | \u092e\u0941\u0916\u094d\u092f \u092a\u0948\u092e\u093e\u0928\u0947 \u0915\u0940 \u092e\u093e\u092a cm | \u0935\u0930\u094d\u0928\u093f\u092f\u0930 \u092a\u0948\u092e\u093e\u0928\u0947 \u0915\u0947 \u092d\u093e\u0917\n1. | 0.5 | 8\n2. | 0.5 | 4\n3. | 0.5 | 6\n\u092f\u0926\u093f \u0935\u0930\u094d\u0928\u093f\u092f\u0930 \u0915\u0948\u0932\u093f\u092a\u0930\u094d\u0938 \u0915\u0940 \u0936\u0942\u0928\u094d\u092f \u0924\u094d\u0930\u0941\u091f\u093f -0.03 cm, \u0939\u0948 \u0924\u094b, \u0935\u094d\u092f\u093e\u0938 \u0915\u093e \u092e\u093e\u0927\u094d\u092f \u0938\u0902\u0936\u094b\u0927\u093f\u0924 \u092e\u093e\u0928 \u0939\u094b\u0917\u093e :",
"options": [
"0.56 cm",
"0.59 cm",
"0.53 cm",
"0.52 cm"
],
"answer": "2",
"original_question_num": "30"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 30,
"question": "\u092f\u0926\u093f \u0930\u094b\u0932\u094d\u0938 \u0915\u093e \u092a\u094d\u0930\u092e\u0947\u092f \u092b\u0932\u0928 f(x) = 2x\u00b3 + bx\u00b2 + cx, x \u2208 [-1, 1] \u0915\u0947 \u0932\u093f\u090f \u092c\u093f\u0902\u0926\u0941 x = 1/2 \u092a\u0930 \u0932\u093e\u0917\u0942 \u0939\u094b\u0924\u093e \u0939\u0948, \u0924\u094b 2b + c \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"1",
"-1",
"2",
"-3"
],
"answer": "4",
"original_question_num": "12"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 30,
"question": "\u092e\u093e\u0928 \u0932\u0940\u091c\u093f\u090f P(0, h) \u0938\u0947 \u0935\u0943\u0924\u094d\u0924 x\u00b2 + y\u00b2 = 16 \u092a\u0930 \u0916\u0940\u0902\u091a\u0940 \u0917\u0908 \u0938\u094d\u092a\u0930\u094d\u0936 \u0930\u0947\u0916\u093e\u090f\u0901 x-\u0905\u0915\u094d\u0937 \u0915\u094b \u092c\u093f\u0902\u0926\u0941\u0913\u0902 A \u0924\u0925\u093e B \u092a\u0930 \u092e\u093f\u0932\u0924\u0940 \u0939\u0948\u0902\u0964 \u092f\u0926\u093f \u0394APB \u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0939\u0948, \u0924\u094b h \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"4\u221a3",
"3\u221a3",
"3\u221a2",
"4\u221a2"
],
"answer": "2",
"original_question_num": "13"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 30,
"question": "\u0938\u092e\u093e\u0915\u0932 \u222b dx / ((x + 1)\u00b3/4 (x - 2)\u2075/4) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"4 (x + 1)\u00b9/\u2074 / (x - 2) + C",
"4 (x - 2)\u00b9/\u2074 / (x + 1) + C",
"-4/3 (x + 1)\u00b9/\u2074 / (x - 2) + C",
"-4/3 (x - 2)\u00b9/\u2074 / (x + 1) + C"
],
"answer": "3",
"original_question_num": "14"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 26,
"question": " \u0915\u0949\u0932\u092e-A \u092e\u0947\u0902 \u0926\u093f\u090f \u0917\u090f \u092c\u0939\u0941\u0932\u0915\u094b\u0902 \u0915\u094b \u0915\u0949\u0932\u092e-B \u092e\u0947\u0902 \u0909\u0928\u0915\u0947 \u092a\u094d\u0930\u092e\u0941\u0916 \u0909\u092a\u092f\u094b\u0917 \u0915\u0947 \u0938\u093e\u0925 \u0938\u0941\u092e\u0947\u0932\u093f\u0924 \u0915\u0930\u0947\u0902 \u0924\u0925\u093e \u0938\u0939\u0940 \u0935\u093f\u0915\u0932\u094d\u092a \u091a\u0941\u0928\u0947\u0902 : ",
"options": [
"(A) - (ii), (B) - (i), (C) - (iii), (D) - (iv)",
"(A) - (iii), (B) - (i), (C) - (ii), (D) - (iv)",
"(A) - (ii), (B) - (iv), (C) - (iii), (D) - (i)",
"(A) - (iii), (B) - (iv), (C) - (ii), (D) - (i)"
],
"answer": "3",
"original_question_num": "27"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 26,
"question": " \u0938\u094d\u091f\u093e\u0930\u094d\u091a \u0915\u0947 \u092a\u0942\u0930\u094d\u0923 \u0905\u092a\u0918\u091f\u0928 \u0938\u0947 \u092e\u093f\u0932\u0924\u093e \u0939\u0948 : ",
"options": [
"\u0917\u094d\u0932\u0942\u0915\u094b\u0938 \u0914\u0930 \u092b\u094d\u0930\u0941\u0915\u094d\u091f\u094b\u0938 \u0915\u0940 \u0938\u092e\u092e\u094b\u0932 \u092e\u093e\u0924\u094d\u0930\u093e",
"\u0917\u0948\u0932\u0947\u0915\u094d\u091f\u094b\u0938 \u0914\u0930 \u092b\u094d\u0930\u0941\u0915\u094d\u091f\u094b\u0938 \u0915\u0940 \u0938\u092e\u092e\u094b\u0932 \u092e\u093e\u0924\u094d\u0930\u093e",
"\u0915\u0947\u0935\u0932 \u0917\u094d\u0932\u0942\u0915\u094b\u0938",
"\u0917\u094d\u0932\u0942\u0915\u094b\u0938 \u0914\u0930 \u0917\u0948\u0932\u0947\u0915\u094d\u091f\u094b\u0938 \u0915\u0940 \u0938\u092e\u092e\u094b\u0932 \u092e\u093e\u0924\u094d\u0930\u093e"
],
"answer": "2",
"original_question_num": "28"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 26,
"question": " \u0935\u0939 \u0927\u0928\u093e\u092f\u0928 \u091c\u094b \u0924\u0928\u0941 HCl \u0915\u0947 \u0909\u092a\u0938\u094d\u0925\u093f\u0924\u093f \u092e\u0947\u0902 H\u2082S \u0938\u0947 \u0905\u0935\u0915\u094d\u0937\u093f\u092a\u094d\u0924 \u0928\u0939\u0940\u0902 \u0939\u094b\u0924\u093e \u0939\u0948, \u0935\u0939 \u0939\u0948 : ",
"options": [
"Cu\u00b2\u207a",
"Pb\u00b2\u207a",
"As\u00b3\u207a",
"Co\u00b2\u207a"
],
"answer": "2",
"original_question_num": "30"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 4,
"question": "\u090f\u0915 \u092a\u0924\u0932\u0940, \u090f\u0915\u0938\u092e\u093e\u0928, \u0935\u0930\u094d\u0917\u093e\u0915\u093e\u0930, \u091a\u093e\u0926\u0930 (\u0936\u0940\u091f) \u0915\u093f\u0938\u0940 \u0926\u0943\u0922\u093c \u092a\u0926\u093e\u0930\u094d\u0925 \u0915\u0940 \u092c\u0928\u0940 \u0939\u0948\u0964 \u092f\u0926\u093f \u0907\u0938\u0915\u0940 \u090f\u0915 \u092d\u0941\u091c\u093e 'a', \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 m \u0924\u0925\u093e \u091c\u0921\u093c\u0924\u094d\u0935 \u090f\u0915 \u0935\u093f\u0915\u0930\u094d\u0923 \u0915\u0947 \u092a\u094d\u0930\u0924\u093f, \u0907\u0938\u0915\u093e \u091c\u0921\u093c\u0924\u094d\u0935 \u0906\u0918\u0942\u0930\u094d\u0923 I \u0939\u0948 \u0924\u094b :",
"options": [
"I > ma\u00b2/12",
"ma\u00b2/24 < I < ma\u00b2/12",
"I = ma\u00b2/12",
"I = ma\u00b2/24"
],
"answer": "3",
"original_question_num": "6"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 4,
"question": "\u090f\u0915 \u092c\u0939\u0941\u0924 \u0932\u092e\u094d\u092c\u0940 \u0917\u0948\u0932\u0947\u0915\u0938\u0940 (\u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 L) \u090f\u0915\u0938\u092e\u093e\u0928 \u0935\u093f\u0924\u0930\u093f\u0924 \u0926\u094d\u0930\u0935 \u0915\u0940 \u092c\u0928\u0940 \u0939\u0948, \u0907\u0938\u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e R (R< 0 \u0915\u0947 \u0932\u093f\u090f \u092e\u093e\u0928 f(x) = \u222b (log t / (1 + t)) dt \u0939\u0948, \u0924\u094b f(x) + f(1/x) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"1/4 (log x)^2",
"1/2 (log x)^2",
"log x",
"1/4 log x^2"
],
"answer": "3",
"original_question_num": "15"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 31,
"question": "\u092f\u0926\u093f y + 2x^2 = 0 \u0924\u0925\u093e y + 3x^2 = 1 \u0926\u094d\u0935\u093e\u0930\u093e \u092a\u0930\u093f\u092c\u0926\u094d\u0927 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 (\u0935\u0930\u094d\u0917 \u0907\u0915\u093e\u0907\u092f\u094b\u0902 \u092e\u0947\u0902) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"3/5",
"3/4",
"1/3",
"4/3"
],
"answer": "3",
"original_question_num": "16"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 31,
"question": "\u092f\u0926\u093f y(x), \u0905\u0935\u0915\u0932 \u0938\u092e\u0940\u0915\u0930\u0923 (x + 2) dy/dx = x^2 + 4x - 9, x \u2260 -2 \u0914\u0930 y(0) = 0, \u0915\u093e \u0939\u0932 \u0939\u0948, \u0924\u094b y(-4) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"0",
"1",
"-1",
"2"
],
"answer": "3",
"original_question_num": "17"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 24,
"question": "\u092f\u094c\u0917\u093f\u0915 A \u091c\u093f\u0938\u0915\u093e \u0905\u0923\u0941\u0938\u0942\u0924\u094d\u0930 C10H13Cl \u0939\u0948, \u091a\u093e\u0902\u0926\u0940 \u0928\u093e\u0907\u091f\u094d\u0930\u0947\u091f \u0935\u093f\u0932\u092f\u0928 \u092a\u0930 \u0938\u092b\u0947\u0926 \u0905\u0935\u0915\u094d\u0937\u0947\u092a \u0926\u0947\u0924\u093e \u0939\u0948\u0964 A \u090f\u0925\u0947\u0928\u0949\u0932\u093f\u0915 KOH \u0915\u0947 \u0938\u093e\u0925 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0930\u0928\u0947 \u092a\u0930 \u092e\u0941\u0916\u094d\u092f \u0930\u0942\u092a \u0938\u0947 \u092f\u094c\u0917\u093f\u0915 B \u0926\u0947\u0924\u093e \u0939\u0948\u0964 B \u0915\u093e \u0913\u091c\u094b\u0928-\u0905\u092a\u0918\u091f\u0928 \u0915\u0930\u0928\u0947 \u092a\u0930 \u092f\u094c\u0917\u093f\u0915 C \u0924\u0925\u093e D \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902\u0964 C \u0915\u0948\u0928\u093f\u091c\u093e\u0930\u094b \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0926\u0947\u0924\u093e \u0939\u0948, \u092a\u0930\u0902\u0924\u0941 \u090f\u0932\u094d\u0921\u094b\u0932 \u0938\u0902\u0915\u094d\u0937\u0947\u092a\u0923 \u0928\u0939\u0940\u0902 \u0926\u0947\u0924\u093e\u0964 D \u090f\u0932\u094d\u0921\u094b\u0932 \u0938\u0902\u0915\u094d\u0937\u0947\u092a\u0923 \u0926\u0947\u0924\u093e \u0939\u0948, \u092a\u0930\u0902\u0924\u0941 \u0915\u0948\u0928\u093f\u091c\u093e\u0930\u094b \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0928\u0939\u0940\u0902 \u0926\u0947\u0924\u093e\u0964 A \u0939\u0948 :",
"options": [
"C6H5-CH2-C(CH3)2Cl",
"C6H5-CH2-CH2-CH(CH3)2Cl",
"C6H5-CH2-CH2-CH2-CH2-CH2-Cl"
],
"answer": "3",
"original_question_num": "24"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 32,
"question": "\u092c\u093f\u0902\u0926\u0941 (0, 8/3) (1, 3) \u0924\u0925\u093e (82, 30) :",
"options": [
"\u090f\u0915 \u0905\u0927\u093f\u0915\u0915\u094b\u0923 \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u092c\u0928\u093e\u0924\u0947 \u0939\u0948\u0902\u0964",
"\u090f\u0915 \u0928\u094d\u092f\u0942\u0928\u0915\u094b\u0923 \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u092c\u0928\u093e\u0924\u0947 \u0939\u0948\u0902\u0964",
"\u090f\u0915 \u0938\u092e\u0915\u094b\u0923 \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u092c\u0928\u093e\u0924\u0947 \u0939\u0948\u0902\u0964",
"\u090f\u0915 \u0938\u0930\u0932 \u0930\u0947\u0916\u093e \u092a\u0930 \u0938\u094d\u0925\u093f\u0924 \u0939\u0948\u0902\u0964"
],
"answer": "3",
"original_question_num": "18"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 32,
"question": "\u092e\u093e\u0928 L, \u092c\u093f\u0902\u0926\u0941 P(1, 2) \u0938\u0947 \u0939\u094b\u0915\u0930 \u091c\u093e\u0928\u0947 \u0935\u093e\u0932\u0940 \u0935\u0939 \u0930\u0947\u0916\u093e \u0939\u0948 \u091c\u093f\u0938\u0915\u093e \u0928\u093f\u0930\u094d\u200d\u0926\u093f\u0937\u094d\u091f\u093e\u0902\u0915 \u0905\u0915\u094d\u0937\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0915\u091f\u093e\u0935 \u0930\u0947\u0916\u093e\u0916\u0902\u0921 P \u092a\u0930 \u0938\u092e\u0926\u094d\u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0939\u094b\u0924\u093e \u0939\u0948\u0964 \u092e\u093e\u0928 L1 \u0935\u0939 \u0930\u0947\u0916\u093e \u0939\u0948 \u091c\u094b L \u092a\u0930 \u0932\u0902\u092c\u0935\u0924 \u0939\u0948 \u0924\u0925\u093e \u092c\u093f\u0902\u0926\u0941 (-2, 1) \u0938\u0947 \u0939\u094b\u0915\u0930 \u091c\u093e\u0924\u0940 \u0939\u0948, \u0924\u094b L \u0924\u0925\u093e L1 \u0915\u093e \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926\u0928 \u092c\u093f\u0902\u0926\u0941 \u0939\u0948 :",
"options": [
"(4/5, 12/5)",
"(11/20, 29/10)",
"(3/10, 17/5)",
"(3/5, 23/10)"
],
"answer": "3",
"original_question_num": "19"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 32,
"question": "\u092f\u0926\u093f y + 3x = 0, \u0935\u0943\u0924\u094d\u0924 x^2 + y^2 - 30x = 0 \u0915\u0940 \u090f\u0915 \u091c\u0940\u0935 \u0915\u093e \u0938\u092e\u0940\u0915\u0930\u0923 \u0939\u0948, \u0924\u094b \u0909\u0938 \u0935\u0943\u0924\u094d\u0924, \u091c\u093f\u0938\u0915\u093e \u0935\u094d\u092f\u093e\u0938, \u092f\u0939 \u091c\u0940\u0935 \u0939\u0948, \u0915\u093e \u0938\u092e\u0940\u0915\u0930\u0923 \u0939\u0948 :",
"options": [
"x^2 + y^2 + 3x + 9y = 0",
"x^2 + y^2 - 3x + 9y = 0",
"x^2 + y^2 - 3x - 9y = 0",
"x^2 + y^2 + 3x - 9y = 0"
],
"answer": "2",
"original_question_num": "20"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 12,
"question": "\u0915\u093f\u0938\u0940 \u092a\u0930\u093f\u0928\u093e\u0932\u093f\u0915\u093e \u0915\u0940 \u0932\u092e\u094d\u092c\u093e\u0908 25 cm \u0924\u0925\u093e \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e 2 cm \u0939\u0948 \u0914\u0930 \u0907\u0938\u092e\u0947\u0902 \u0924\u093e\u0930 \u0915\u0947 \u0915\u0941\u0932 500 \u0932\u092a\u0947\u091f\u0947 \u0917\u092f\u0947 \u0939\u0948\u0902\u0964 \u0907\u0938\u092e\u0947\u0902 15 A \u0915\u0940 \u0927\u093e\u0930\u093e \u092a\u094d\u0930\u0935\u093e\u0939\u093f\u0924 \u0939\u094b \u0930\u0939\u0940 \u0939\u0948\u0964 \u092f\u0939 \u092a\u0930\u093f\u0928\u093e\u0932\u093f\u0915\u093e, \u0907\u0938\u0940 \u0906\u0915\u093e\u0930 \u0924\u0925\u093e \u091a\u0941\u0902\u092c\u0915\u0940\u092f \u0906\u0918\u0942\u0930\u094d\u0923/\u0906\u0935\u0930\u094d\u0924\u0928, \u0915\u0947 \u0924\u0941\u0932\u094d\u092f \u0939\u0948 \u0924\u094b, |M| \u0939\u0948 :",
"options": [
"3\u03c0 Am\u207b\u00b9",
"30000 Am\u207b\u00b9",
"300 Am\u207b\u00b9",
"30000\u03c0 Am\u207b\u00b9"
],
"answer": "2",
"original_question_num": "20"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 12,
"question": "\u0915\u093f\u0938\u0940 \u0915\u0941\u0902\u0921\u0932\u0940 \u0938\u0947 \u092a\u094d\u0930\u0935\u093e\u0939\u093f\u0924 \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0927\u093e\u0930\u093e \u0915\u093e \u092e\u093e\u0928, 0.1 s \u092e\u0947\u0902, 5 A \u0938\u0947 2 A \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948 \u091c\u093f\u0938\u0938\u0947, 50 V \u0915\u0940 \u0914\u0938\u0924 \u0935\u094b\u0932\u094d\u091f\u0924\u093e \u0909\u0924\u094d\u092a\u0928\u094d\u0928 \u0939\u094b\u0924\u0940 \u0939\u0948\u0964 \u0924\u094b, \u0907\u0938 \u0915\u0941\u0902\u0921\u0932\u0940 \u0915\u093e \u0938\u094d\u0935\u092a\u094d\u0930\u0947\u0930\u0915\u0924\u094d\u0935 \u0939\u0948 :",
"options": [
"0.67 H",
"1.67 H",
"3 H",
"6 H"
],
"answer": "2",
"original_question_num": "21"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 28,
"question": "\u0917\u0941\u0923\u0928\u092b\u0932 xyz \u0915\u093e \u0935\u0939 \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u092e\u0942\u0932\u094d\u092f \u091c\u093f\u0938\u0915\u0947 \u0932\u093f\u090f \u0938\u093e\u0930\u0923\u093f\u0915\n\\[\n\\begin{vmatrix}\nx & 1 & 1 \\\\\n1 & y & 1 \\\\\n1 & 1 & z \\\\\n\\end{vmatrix}\n\\]\n\u090b\u0923\u0924\u0930 \u0939\u0948, \u0939\u0948 :",
"options": [
"-2\u221a2",
"-16\u221a2",
"-8",
"-1"
],
"answer": "2",
"original_question_num": "4"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 28,
"question": "\u092f\u0926\u093f A = \n\\[\n\\begin{bmatrix}\n0 & -1 \\\\\n1 & 0 \\\\\n\\end{bmatrix}\n\\]\n\u0939\u0948, \u0924\u094b \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928-\u0938\u093e \u090f\u0915 \u0915\u0925\u0928 \u0938\u0939\u0940 \u0928\u0939\u0940\u0902 \u0939\u0948 ?",
"options": [
"A\u2074 - I = A\u00b2 + I",
"A\u00b3 - I = A(A - I)",
"A\u00b2 + I = A(A\u00b2 - I)",
"A\u00b3 + I = A(A\u00b3 - I)"
],
"answer": "3",
"original_question_num": "5"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 28,
"question": "15 \u092a\u0941\u0930\u0941\u0937\u094b\u0902 \u0924\u0925\u093e 15 \u092e\u0939\u093f\u0932\u093e\u0913\u0902 \u092e\u0947\u0902 \u0938\u0947 \u0910\u0938\u0940 15 \u091f\u092e\u0947\u0902, \u091c\u093f\u0928\u092e\u0947\u0902 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092e\u0947\u0902 \u090f\u0915 \u092a\u0941\u0930\u0941\u0937 \u0924\u0925\u093e \u090f\u0915 \u092e\u0939\u093f\u0932\u093e \u0939\u094b, \u091a\u0941\u0928\u0928\u0947 \u0915\u0947 \u0924\u0930\u0940\u0915\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948 :",
"options": [
"1120",
"1240",
"1880",
"1960"
],
"answer": "3",
"original_question_num": "6"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 28,
"question": "\u092e\u093e\u0928\u093e \u090f\u0915 \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u0936\u094d\u0930\u0947\u0923\u0940 \u0915\u0947 \u092a\u094d\u0930\u0925\u092e \u0924\u0940\u0928 \u092a\u0926\u094b\u0902 \u0915\u093e \u092f\u094b\u0917 39 \u0939\u0948 \u0924\u0925\u093e \u0907\u0938\u0915\u0947 \u0905\u0902\u0924\u093f\u092e \u091a\u093e\u0930 \u092a\u0926\u094b\u0902 \u0915\u093e \u092f\u094b\u0917 178 \u0939\u0948\u0964 \u092f\u0926\u093f \u0907\u0938 \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u0936\u094d\u0930\u0947\u0923\u0940 \u0915\u093e \u092a\u094d\u0930\u0925\u092e \u092a\u0926 10 \u0939\u0948, \u0924\u094b \u0907\u0938 \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u0936\u094d\u0930\u0947\u0923\u0940 \u0915\u093e \u092e\u093e\u0927\u094d\u092f\u0915 \u0939\u0948 :",
"options": [
"26.5",
"28",
"29.5",
"31"
],
"answer": "3",
"original_question_num": "7"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 29,
"question": "\u092f\u0926\u093f (1 + x)^n \u0915\u0947 \u0926\u094d\u0935\u093f\u092a\u0926 \u092a\u094d\u0930\u0938\u093e\u0930 \u092e\u0947\u0902 \u0924\u0940\u0928 \u0915\u094d\u0930\u092e\u093f\u0915 \u092a\u0926\u094b\u0902 \u0915\u0947 \u0917\u0941\u0923\u093e\u0902\u0915 \u092e\u0947\u0902 1 : 7 : 42 \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 \u0939\u0948, \u0924\u094b \u0907\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0935\u093f\u0938\u094d\u0924\u093e\u0930 \u092e\u0947\u0902 \u092a\u0939\u0932\u093e \u092a\u0926 \u0939\u0948 :",
"options": [
"\u091b\u0920\u093e",
"\u0938\u093e\u0924\u0935\u093e\u0902",
"\u0906\u0920\u0935\u093e\u0902",
"\u0928\u094c\u0935\u093e\u0902"
],
"answer": "1",
"original_question_num": "8"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 29,
"question": "lim x\u21920 e^x^2 - cosx / sin^2x \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"3",
"3/2",
"5/4",
"2"
],
"answer": "1",
"original_question_num": "10"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 29,
"question": "\u0935\u0915\u094d\u0930 x = 2 cost + 2t sint, y = 2 sint - 2t cost \u092a\u0930 t = \u03c0/4 \u092a\u0930 \u0916\u0940\u0902\u091a\u0947 \u0917\u090f \u0905\u092d\u093f\u0932\u0902\u092c \u0915\u0940 \u092e\u0942\u0932 \u092c\u093f\u0902\u0926\u0941 \u0938\u0947 \u0926\u0942\u0930\u0940 \u0939\u0948 :",
"options": [
"4",
"2\u221a2",
"2",
"\u221a2"
],
"answer": "3",
"original_question_num": "11"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 33,
"question": "\u092f\u0926\u093f \u0936\u093e\u0902\u0915\u0935 y - 6 = x^2 \u0915\u0947 \u092c\u093f\u0902\u0926\u0941 (2, 10) \u092a\u0930 \u0916\u0940\u0902\u091a\u0940 \u0917\u0908 \u0938\u094d\u092a\u0930\u094d\u0936 \u0930\u0947\u0916\u093e \u0935\u0943\u0924\u094d\u0924 x^2 + y^2 + 8x - 2y = k \u0915\u094b (\u0915\u093f\u0938\u0940 \u0928\u093f\u0936\u094d\u091a\u093f\u0924 k \u0915\u0947 \u0932\u093f\u090f) \u092c\u093f\u0902\u0926\u0941 (\u03b1, \u03b2) \u092a\u0930 \u0938\u094d\u092a\u0930\u094d\u0936 \u0915\u0930\u0924\u0940 \u0939\u0948, \u0924\u094b (\u03b1, \u03b2) \u0939\u0948 :",
"options": [
"(-6/17, 10/17)",
"(-8/17, 2/17)",
"(-4/17, 1/17)",
"(-7/17, 6/17)"
],
"answer": "2",
"original_question_num": "21"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 33,
"question": "\u090f\u0915 \u0926\u0940\u0930\u094d\u0918\u0935\u0943\u0924\u094d\u0924, \u0905\u0924\u093f\u092a\u0930\u0935\u0932\u092f 9x^2 - 4y^2 = 36 \u0915\u0947 \u0928\u093e\u092d\u093f\u0915\u094b\u0902 \u0938\u0947 \u0939\u094b\u0915\u0930 \u091c\u093e\u0924\u093e \u0939\u0948 \u0924\u0925\u093e \u0907\u0938\u0915\u0947 \u0926\u0940\u0930\u094d\u0918 \u0924\u0925\u093e \u0932\u0918\u0941 \u0905\u0915\u094d\u0937 \u0915\u094d\u0930\u092e\u0936\u0903 \u0905\u0924\u093f\u092a\u0930\u0935\u0932\u092f \u0915\u0947 \u0905\u0928\u0941\u092a\u094d\u0930\u0938\u094d\u0925 \u0924\u0925\u093e \u0938\u0902\u092f\u0941\u0917\u094d\u092e \u0905\u0915\u094d\u0937\u094b\u0902 \u0915\u0947 \u0905\u0928\u0941\u0930\u0942\u092a \u0939\u0948\u0902\u0964 \u092f\u0926\u093f \u0907\u0928 \u0926\u094b \u0936\u093e\u0902\u0915\u0935\u094b\u0902 \u0915\u094b \u0909\u0924\u094d\u0915\u0947\u0928\u094d\u0926\u094d\u0930\u0924\u093e\u0913\u0902 \u0915\u093e \u0917\u0941\u0923\u0928\u092b\u0932 1/2 \u0939\u0948, \u0924\u094b \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928-\u0938\u093e \u092c\u093f\u0902\u0926\u0941 \u0926\u0940\u0930\u094d\u0918\u0935\u0943\u0924\u094d\u0924 \u092a\u0930 \u0938\u094d\u0925\u093f\u0924 \u0928\u0939\u0940\u0902 \u0939\u0948 ?",
"options": [
"(\u221a13, 0)",
"(\u221a39/2, \u221a3)",
"(1/2 \u221a13, \u221a3/2)",
"(\u221a13/2, \u221a6)"
],
"answer": "1",
"original_question_num": "22"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 7,
"question": "\u0915\u093f\u0938\u0940 \u0906\u0926\u0930\u094d\u0936 \u0917\u0948\u0938 \u092e\u0947\u0902, \u0915\u093f\u0938\u0940 \u0905\u0923\u0941 \u0926\u094d\u0935\u093e\u0930\u093e \u0917\u0948\u0938 \u0915\u0947 \u092c\u0902\u0926 \u092a\u093e\u0924\u094d\u0930 \u0915\u0940 \u0926\u0940\u0935\u093e\u0930\u094b\u0902 \u092a\u0930 \u0932\u0917\u093e\u092f\u093e \u0917\u092f\u093e \u0914\u0938\u0924 \u092c\u0932, \u0917\u0948\u0938 \u0915\u0947 \u0924\u093e\u092a T \u092a\u0930, T^n \u0915\u0947 \u0905\u0928\u0941\u0938\u093e\u0930 \u0928\u093f\u0930\u094d\u092d\u0930 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u0924\u094b, q \u0915\u093e \u0938\u092e\u0940\u092a\u0935\u0930\u094d\u0924\u0940 \u092e\u093e\u0928 \u0939\u0948 :",
"options": [
"2",
"1",
"1/2",
"1/4"
],
"answer": "3",
"original_question_num": "11"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 7,
"question": "\u0915\u093f\u0938\u0940 \u0938\u0930\u0932 \u0906\u0935\u0930\u094d\u0924 \u0926\u094b\u0932\u0928 \u0915\u0940 \u0915\u094b\u0923\u0940\u092f \u0906\u0935\u0943\u0924\u094d\u0924\u093f 2 rad s^\u22121 \u0939\u0948\u0964 \u0907\u0938 \u092a\u0930 \u090f\u0915 \u092c\u093e\u0939\u094d\u092f \u092c\u0932, F=sint \u0928\u094d\u092f\u0942\u091f\u0928 (N) \u0932\u0917\u093e\u092f\u093e \u0939\u0948\u0964 \u092f\u0926\u093f \u0938\u092e\u092f t=0 \u092a\u0930, \u092f\u0939 \u0926\u094b\u0932\u0915, \u0905\u092a\u0928\u0940 \u0938\u093e\u092e\u094d\u092f\u093e\u0935\u0938\u094d\u0925\u093e \u092e\u0947\u0902 \u0935\u093f\u0930\u093e\u092e \u0938\u094d\u0925\u093f\u0924\u093f \u092e\u0947\u0902 \u0939\u0948 \u0924\u094b, \u0907\u0938\u0915\u0947 \u092a\u0936\u094d\u091a\u093e\u0924 \u0915\u0947 \u0915\u093f\u0938\u0940 \u0938\u092e\u092f \u092e\u0947\u0902, \u0907\u0938\u0915\u0940 \u0938\u094d\u0925\u093f\u0924\u093f \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u0947\u0902 \u0915\u093f\u0938\u0915\u0947 \u0938\u092e\u093e\u0928\u0941\u092a\u093e\u0924\u0940 \u0939\u094b\u0917\u0940 ?",
"options": [
"sint + 1/2 sin 2t",
"sint + 1/2 cos 2t",
"cost - 1/2 sin 2t",
"sint - 1/2 sin 2t"
],
"answer": "4",
"original_question_num": "12"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 7,
"question": "10 ms^\u22121 \u0915\u0940 \u091a\u093e\u0932 \u0938\u0947 \u0915\u093f\u0938\u0940 \u0926\u0940\u0935\u093e\u0930 \u0915\u0940 \u0913\u0930 \u091c\u093e\u0924\u093e \u0939\u0941\u0906 \u090f\u0915 \u091a\u092e\u0917\u093e\u0926\u0921\u093c, \u0926\u0940\u0935\u093e\u0930 \u0915\u0940 \u0913\u0930 8000 Hz \u0915\u093e \u0927\u094d\u0935\u0928\u093f \u0938\u0902\u0915\u0947\u0924 (\u0938\u093f\u0917\u094d\u0928\u0932) \u092a\u094d\u0930\u0947\u0937\u093f\u0924 \u0915\u0930\u0924\u093e (\u092d\u0947\u091c\u0924\u093e) \u0939\u0948\u0964 \u0926\u0940\u0935\u093e\u0930 \u0938\u0947 \u092a\u0930\u093e\u0935\u0930\u094d\u0924\u0928 \u0915\u0947 \u092a\u0936\u094d\u091a\u093e\u0924 \u0935\u0939 f \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u0915\u0940 \u0927\u094d\u0935\u0928\u093f, \u0938\u0941\u0928\u0924\u093e \u0939\u0948\u0964 \u092f\u0926\u093f, \u0927\u094d\u0935\u0928\u093f \u0915\u0940 \u091a\u093e\u0932 320 ms^\u22121 \u0939\u0948 \u0924\u094b, Hz \u092e\u0947\u0902 f \u0915\u093e \u0938\u092e\u0940\u092a\u0935\u0930\u094d\u0924\u0940 \u092e\u093e\u0928 \u0939\u094b\u0917\u093e :",
"options": [
"8258",
"8516",
"8000",
"8424"
],
"answer": "2",
"original_question_num": "13"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 14,
"question": "\u0906\u092a\u0915\u094b \u090f\u0915 \u0936\u0947\u0935\u093f\u0902\u0917 \u0926\u0930\u094d\u092a\u0923 \u092c\u0928\u093e\u0928\u0947 \u0915\u094b \u0915\u0939\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u092f\u0926\u093f \u0915\u094b\u0908 \u0935\u094d\u092f\u0915\u094d\u0924\u093f \u0907\u0938 \u0926\u0930\u094d\u092a\u0923 \u0915\u094b \u0905\u092a\u0928\u0947 \u091a\u0947\u0939\u0930\u0947 \u0938\u0947 10 cm \u0926\u0942\u0930 \u0930\u0916\u0924\u093e \u0939\u0948 \u0914\u0930 \u091a\u0947\u0939\u0930\u0947 \u0915\u0947 \u0906\u0935\u0930\u094d\u0927\u093f\u0924 \u092a\u094d\u0930\u0924\u093f\u092c\u093f\u0902\u092c \u0915\u094b, \u0938\u0941\u0935\u093f\u0927\u093e\u091c\u0928\u0915-\u0926\u0930\u094d\u0936\u0928 \u0915\u0940 \u0928\u093f\u0915\u091f\u0924\u092e \u0926\u0942\u0930\u0940, 25 cm \u092a\u0930 \u0926\u0947\u0916\u0924\u093e \u0939\u0948 \u0924\u094b, \u0926\u0930\u094d\u092a\u0923 \u0915\u0940 \u0935\u0915\u094d\u0930\u0924\u093e \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e \u0939\u094b\u0917\u0940:",
"options": [
"30 cm",
"24 cm",
"60 cm",
"-24 cm"
],
"answer": "3",
"original_question_num": "24"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 18,
"question": "61 g \u092c\u0947\u0930\u093f\u092f\u092e \u0915\u094d\u0932\u094b\u0930\u093e\u0907\u0921 \u0915\u0947 \u0939\u093e\u0907\u0921\u094d\u0930\u0947\u091f \u0915\u0947 \u090f\u0915 \u0928\u092e\u0942\u0928\u0947 \u0915\u094b \u0917\u0930\u092e \u0915\u0930\u0915\u0947 \u0938\u0941\u0916\u093e\u092f\u093e \u0917\u092f\u093e\u0964 \u0938\u0942\u0916\u0947 \u0928\u092e\u0942\u0928\u0947 \u0915\u093e \u0935\u091c\u0928 52 g \u0925\u093e\u0964 \u0939\u093e\u0907\u0921\u094d\u0930\u0947\u091f \u0932\u0935\u0923 \u0915\u093e \u0938\u0942\u0924\u094d\u0930 \u0939\u0948 : (\u092a\u0930\u092e\u093e\u0923\u0941 \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928, Ba=137 amu, Cl=35.5 amu)",
"options": [
"BaCl\u2082\u00b7H\u2082O",
"BaCl\u2082\u00b72H\u2082O",
"BaCl\u2082\u00b73H\u2082O",
"BaCl\u2082\u00b74H\u2082O"
],
"answer": "3",
"original_question_num": "1"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 18,
"question": "\u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928 \u0938\u0940 \u0917\u0948\u0938\u094b\u0902 \u0915\u0947 \u0905\u0923\u0941\u0917\u0924\u093f\u0915 \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 \u0915\u0940 \u0905\u0935\u0927\u093e\u0930\u0923\u093e \u0928\u0939\u0940\u0902 \u0939\u0948 ?",
"options": [
"\u090f\u0915 \u0917\u0948\u0938 \u092c\u0939\u0941\u0924 \u0938\u093e\u0930\u0947 \u0938\u092e\u0915\u0915\u094d\u0937 \u0915\u0923\u094b\u0902 \u0938\u0947 \u092c\u0928\u0924\u0940 \u0939\u0948 \u091c\u094b \u0932\u0917\u093e\u0924\u093e\u0930 \u0917\u0924\u093f\u0936\u0940\u0932 \u0905\u0935\u0938\u094d\u0925\u093e \u092e\u0947\u0902 \u0930\u0939\u0924\u0947 \u0939\u0948\u0902\u0964",
"\u0917\u0948\u0938 \u0915\u0947 \u0915\u0923\u094b\u0902 \u0915\u093e \u0906\u092f\u0924\u0928 \u0928\u0917\u0923\u094d\u092f \u0939\u0948\u0964",
"\u0909\u091a\u094d\u091a \u0926\u093e\u092c \u092a\u0930 \u0917\u0948\u0938 \u0915\u0923\u094b\u0902 \u0915\u093e \u0938\u0902\u092a\u0940\u0921\u093c\u0928 \u0915\u0920\u093f\u0928 \u0939\u0948\u0964",
"\u0917\u0948\u0938 \u0915\u0947 \u0915\u0923\u094b\u0902 \u0915\u0947 \u092e\u0927\u094d\u092f \u0938\u0902\u0918\u091f\u094d\u091f \u092a\u0942\u0930\u094d\u0923\u0924\u0903 \u092a\u094d\u0930\u0924\u094d\u092f\u093e\u0938\u094d\u0925 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902\u0964"
],
"answer": "3",
"original_question_num": "2"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 22,
"question": "\u0939\u093e\u0907\u0921\u094d\u0930\u0949\u0915\u094d\u0938\u093e\u0907\u0921\u094d\u0938 \u0915\u093e \u0924\u093e\u092a\u0940\u092f \u0938\u094d\u0925\u093e\u092f\u093f\u0924\u094d\u0935 \u0915\u093e \u0938\u0939\u0940 \u0915\u094d\u0930\u092e \u0939\u0948 :",
"options": [
"Ba(OH)\u2082 < Sr(OH)\u2082 < Ca(OH)\u2082 < Mg(OH)\u2082",
"Ba(OH)\u2082 < Ca(OH)\u2082 < Sr(OH)\u2082 < Mg(OH)\u2082",
"Mg(OH)\u2082 < Ca(OH)\u2082 < Sr(OH)\u2082 < Ba(OH)\u2082",
"Mg(OH)\u2082 < Sr(OH)\u2082 < Ca(OH)\u2082 < Ba(OH)\u2082"
],
"answer": "3",
"original_question_num": "14"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 22,
"question": "\u0938\u092c\u0938\u0947 \u0915\u092e \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u0947 \u0906\u0915\u094d\u0938\u094b\u090f\u0938\u093f\u0921 \u092c\u0928\u093e\u0924\u093e \u0939\u0948 :",
"options": [
"\u0928\u093e\u0907\u091f\u094d\u0930\u094b\u091c\u0928",
"\u0938\u0932\u094d\u092b\u0930",
"\u092b\u094d\u0932\u0941\u0913\u0930\u0940\u0928",
"\u0915\u094d\u0932\u094b\u0930\u0940\u0928"
],
"answer": "3",
"original_question_num": "15"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 22,
"question": "\u0935\u0940.\u090f\u0938.\u0908.\u092a\u0940.\u0906\u0930. (VSEPR) \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 \u0915\u0947 \u0905\u0928\u0941\u0938\u093e\u0930, XeOF\u2084 \u0915\u0940 \u091c\u094d\u092f\u093e\u092e\u093f\u0924\u093f \u0939\u0948 :",
"options": [
"\u0924\u094d\u0930\u093f\u0915\u094b\u0923\u0940\u092f \u0926\u094d\u0935\u093f\u092a\u093f\u0930\u093e\u092e\u093f\u0921\u0932",
"\u0935\u0930\u094d\u0917 \u092a\u093f\u0930\u093e\u092e\u093f\u0921\u0940",
"\u0905\u0937\u094d\u091f\u092b\u0932\u0915\u0940\u092f",
"\u092a\u0902\u091a\u0915\u094b\u0923\u0940\u092f \u0938\u092e\u0924\u0932\u0940\u092f"
],
"answer": "3",
"original_question_num": "16"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 22,
"question": "\u0932\u0935\u0923 X \u0915\u093e \u091c\u0932\u0940\u092f \u0935\u093f\u0932\u092f\u0928 SCN\u207b \u0915\u0947 \u0938\u093e\u0925 \u0916\u0942\u0928 \u0932\u093e\u0932 \u0930\u0902\u0917 \u0914\u0930 K\u2084[Fe(CN)\u2086] \u0915\u0947 \u0938\u093e\u0925 \u0928\u0940\u0932\u093e \u0930\u0902\u0917 \u0926\u0947\u0924\u093e \u0939\u0948\u0964 X \u090f\u0915 \u0938\u0915\u093e\u0930\u093e\u0924\u094d\u092e\u0915 \u0915\u094d\u0930\u094b\u092e\u093e\u0907\u0932 \u0915\u094d\u0932\u094b\u0930\u093e\u0907\u0921 \u092a\u0930\u0940\u0915\u094d\u0937\u0923 \u092d\u0940 \u0926\u0947\u0924\u093e \u0939\u0948\u0964 \u0932\u0935\u0923 X \u0939\u0948 :",
"options": [
"CuCl\u2082",
"FeCl\u2083",
"Cu(NO\u2083)\u2082",
"Fe(NO\u2083)\u2083"
],
"answer": "3",
"original_question_num": "17"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 22,
"question": "\u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928 \u0938\u093e \u0905\u0923\u0941/\u0906\u092f\u0928 \u0938\u0902\u0915\u0941\u0932 \u092f\u094c\u0917\u093f\u0915\u094b\u0902 \u092e\u0947\u0902 \u0932\u093f\u0917\u0948\u0902\u0921 \u0928\u0939\u0940\u0902 \u0939\u094b \u0938\u0915\u0924\u093e \u0939\u0948?",
"options": [
"CO",
"CN\u207b",
"CH\u2084",
"Br\u207b"
],
"answer": "3",
"original_question_num": "18"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 34,
"question": "\u092f\u0926\u093f \u0930\u0947\u0916\u093e\u0913\u0902 \\( \\frac{x-1}{\\alpha} = \\frac{y+1}{-1} = \\frac{z}{1} \\) (\\( \\alpha \\neq -1 \\)) \u0924\u0925\u093e \\( x + y + z + 1 = 0 = 2x - y + z + 3 \\) \u0915\u0947 \u092c\u0940\u091a \u0915\u0940 \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0926\u0942\u0930\u0940 \\( \\frac{1}{\\sqrt{3}} \\) \u0939\u0948, \u0924\u094b \\(\\alpha\\) \u0915\u093e \u090f\u0915 \u092e\u093e\u0928 \u0939\u0948 :",
"options": [
"\\(\\frac{-16}{19}\\)",
"\\(\\frac{-19}{16}\\)",
"\\(\\frac{32}{19}\\)",
"\\(\\frac{19}{32}\\)"
],
"answer": "3",
"original_question_num": "24"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 34,
"question": "\u092e\u093e\u0928 \\(\\vec{a}\\) \u0924\u0925\u093e \\(\\vec{b}\\) \u0910\u0938\u0947 \u092e\u093e\u0924\u094d\u0930\u0915 \u0938\u0926\u093f\u0936 \u0939\u0948\u0902 \u0915\u093f \\(|\\vec{a} + \\vec{b}| = \\sqrt{3}\\) \u0939\u0948\u0964 \u092f\u0926\u093f \\(\\vec{c} = \\vec{a} + 2\\vec{b} + 3(\\vec{a} \\times \\vec{b})\\) \u0939\u0948, \u0924\u094b \\(2|\\vec{c}|\\) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948:",
"options": [
"\\(\\sqrt{55}\\)",
"\\(\\sqrt{51}\\)",
"\\(\\sqrt{43}\\)",
"\\(\\sqrt{37}\\)"
],
"answer": "3",
"original_question_num": "25"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 34,
"question": "\u092e\u093e\u0928 X \u090f\u0915 \u0938\u092e\u0941\u091a\u094d\u091a\u092f \u0939\u0948 \u091c\u093f\u0938\u092e\u0947\u0902 10 \u0905\u0935\u092f\u0935 \u0939\u0948\u0902 \u0924\u0925\u093e P(X) \u0907\u0938\u0915\u093e \u0918\u093e\u0924 \u0938\u092e\u0941\u091a\u094d\u091a\u092f \u0939\u0948\u0964 \u092f\u0926\u093f P(X) \u0938\u0947 A \u0924\u0925\u093e B \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u092f\u093e, \u092a\u094d\u0930\u0924\u093f\u0938\u094d\u0925\u093e\u092a\u0928 \u0938\u0939\u093f\u0924, \u0932\u093f\u090f \u0917\u090f \u0939\u0948\u0902, \u0924\u094b A \u0924\u0925\u093e B \u092e\u0947\u0902 \u092c\u0930\u093e\u092c\u0930 \u0905\u0935\u092f\u0935\u094b\u0902 \u0915\u0947 \u0939\u094b\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0939\u0948 :",
"options": [
"\\(\\frac{{^{20}C_{10}}}{2^{10}}\\)",
"\\(\\frac{(2^{10} - 1)}{2^{20}}\\)",
"\\(\\frac{(2^{10} - 1)}{2^{10}}\\)",
"\\(\\frac{{^{20}C_{10}}}{2^{20}}\\)"
],
"answer": "4",
"original_question_num": "26"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 35,
"question": "\u090f\u0915 \u092b\u0948\u0915\u094d\u091f\u094d\u0930\u0940 \u0926\u094b \u092a\u093e\u0930\u093f\u092f\u094b\u0902, \u0926\u093f\u0928 \u0924\u0925\u093e \u0930\u093e\u0924, \u092e\u0947\u0902 \u091a\u0932\u0924\u0940 \u0939\u0948 \u091c\u093f\u0938\u092e\u0947\u0902 \u0915\u094d\u0930\u092e\u0936\u0903 70 \u0924\u0925\u093e 30 \u0915\u093e\u092e\u0917\u093e\u0930 \u0915\u093e\u0930\u094d\u092f \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964 \u092f\u0926\u093f \u0926\u093f\u0928 \u0915\u0940 \u092a\u093e\u0930\u0940 \u0915\u0947 \u0915\u093e\u092e\u0917\u093e\u0930\u094b\u0902 \u0915\u093e \u092e\u093e\u0927\u094d\u092f \u092a\u094d\u0930\u0924\u093f\u0926\u093f\u0928 \u0935\u0947\u0924\u0928 \u20b9 54 \u0939\u0948 \u0924\u0925\u093e \u0938\u092d\u0940 \u0915\u093e\u092e\u0917\u093e\u0930\u094b\u0902 \u0915\u093e \u092e\u093e\u0927\u094d\u092f \u092a\u094d\u0930\u0924\u093f\u0926\u093f\u0928 \u0935\u0947\u0924\u0928 \u20b9 60 \u0939\u0948, \u0924\u094b \u0930\u093e\u0924 \u092e\u0947\u0902 \u0915\u093e\u0930\u094d\u092f \u0915\u0930\u0928\u0947 \u0935\u093e\u0932\u0947 \u0915\u093e\u092e\u0917\u093e\u0930\u094b\u0902 \u0915\u093e \u092e\u093e\u0927\u094d\u092f \u092a\u094d\u0930\u0924\u093f\u0926\u093f\u0928 \u0935\u0947\u0924\u0928 (\u20b9 \u092e\u0947\u0902) \u0939\u0948 :",
"options": [
"66",
"69",
"74",
"75"
],
"answer": "3",
"original_question_num": "27"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 35,
"question": "\u090f\u0915 \u0924\u094d\u0930\u093f\u092d\u0941\u091c ABC \u092e\u0947\u0902, a/b = 2 + \u221a3 \u0924\u0925\u093e \u2220C=60\u00b0 \u0939\u0948, \u0924\u094b \u0915\u094d\u0930\u092e\u093f\u0924 \u092f\u0941\u0917\u094d\u092e (\u2220A, \u2220B) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"(15\u00b0, 105\u00b0)",
"(105\u00b0, 15\u00b0)",
"(45\u00b0, 75\u00b0)",
"(75\u00b0, 45\u00b0)"
],
"answer": "2",
"original_question_num": "28"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 35,
"question": "\u092f\u0926\u093f f(x) = 2tan\u207b\u00b9x + sin\u207b\u00b9(2x/(1 + x\u00b2)) x > 1 \u0939\u0948, \u0924\u094b f(5) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"\u03c0/2",
"\u03c0",
"4 tan\u207b\u00b9(5)",
"tan\u207b\u00b9(65/156)"
],
"answer": "3",
"original_question_num": "29"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 35,
"question": "\u0915\u0925\u0928 : \"\u092f\u0926\u093f \u0935\u0930\u094d\u0937\u093e \u0939\u094b \u0930\u0939\u0940 \u0939\u0948, \u0924\u094b \u092e\u0948\u0902 \u0928\u0939\u0940\u0902 \u0906\u090a\u0902\u0917\u093e\u0964\" \u0915\u093e \u092a\u094d\u0930\u0924\u093f\u092a\u093e\u0926\u0915 \u0915\u0925\u0928 \u0939\u0948 :",
"options": [
"\u092f\u0926\u093f \u092e\u0948\u0902 \u0906\u090a\u0902\u0917\u093e, \u0924\u094b \u0935\u0930\u094d\u0937\u093e \u0928\u0939\u0940\u0902 \u0939\u094b \u0930\u0939\u0940 \u0939\u0948\u0964",
"\u092f\u0926\u093f \u092e\u0948\u0902 \u0928\u0939\u0940\u0902 \u0906\u090a\u0902\u0917\u093e, \u0924\u094b \u0935\u0930\u094d\u0937\u093e \u0939\u094b \u0930\u0939\u0940 \u0939\u0948\u0964",
"\u092f\u0926\u093f \u092e\u0948\u0902 \u0928\u0939\u0940\u0902 \u0906\u090a\u0902\u0917\u093e, \u0924\u094b \u0935\u0930\u094d\u0937\u093e \u0928\u0939\u0940\u0902 \u0939\u094b \u0930\u0939\u0940 \u0939\u0948\u0964",
"\u092f\u0926\u093f \u092e\u0948\u0902 \u0906\u090a\u0902\u0917\u093e, \u0924\u094b \u0935\u0930\u094d\u0937\u093e \u0939\u094b \u0930\u0939\u0940 \u0939\u0948\u0964"
],
"answer": "2",
"original_question_num": "30"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 23,
"question": "\u0928\u093f\u092e\u094d\u0928 \u0938\u0902\u0915\u0941\u0932 \u0906\u092f\u0928\u094b\u0902 \u0938\u0947 \u0938\u092e\u094d\u092c\u0902\u0927\u093f\u0924 \u0938\u092e\u093e\u0935\u092f\u0935\u0924\u093e \u092a\u0930 \u0938\u0939\u0940 \u0915\u0925\u0928 \u0939\u0948",
"options": [
"(a) \u0914\u0930 (b) \u0915\u0947\u0935\u0932 \u091c\u094d\u092f\u093e\u092e\u093f\u0924\u0940\u092f \u0938\u092e\u093e\u0935\u092f\u0935\u0924\u093e \u0926\u0930\u094d\u0936\u093e\u0924\u0947 \u0939\u0948\u0902\u0964",
"(a) \u0914\u0930 (b) \u091c\u094d\u092f\u093e\u092e\u093f\u0924\u0940\u092f \u0914\u0930 \u0927\u094d\u0930\u0941\u0935\u0923 \u0938\u092e\u093e\u0935\u092f\u0935\u0924\u093e \u0926\u0930\u094d\u0936\u093e\u0924\u0947 \u0939\u0948\u0902\u0964",
"(b) \u0914\u0930 (c) \u091c\u094d\u092f\u093e\u092e\u093f\u0924\u0940\u092f \u0914\u0930 \u0927\u094d\u0930\u0941\u0935\u0923 \u0938\u092e\u093e\u0935\u092f\u0935\u0924\u093e \u0926\u0930\u094d\u0936\u093e\u0924\u0947 \u0939\u0948\u0902\u0964",
"(b) \u0914\u0930 (c) \u0915\u0947\u0935\u0932 \u091c\u094d\u092f\u093e\u092e\u093f\u0924\u0940\u092f \u0938\u092e\u093e\u0935\u092f\u0935\u0924\u093e \u0926\u0930\u094d\u0936\u093e\u0924\u0947 \u0939\u0948\u0902\u0964"
],
"answer": "3",
"original_question_num": "19"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 23,
"question": "\u092a\u094d\u0930\u0915\u093e\u0936 \u0930\u093e\u0938\u093e\u092f\u0928\u093f\u0915 \u0927\u0942\u092e \u0915\u094b\u0939\u0930\u0947 \u092e\u0947\u0902 \u0910\u0932\u094d\u0921\u093f\u0939\u093e\u0907\u0921, \u0915\u0940\u091f\u094b\u0928, \u092a\u0947\u0930\u0949\u0915\u094d\u0938\u0940 \u090f\u0938\u0940\u091f\u093e\u0907\u0932 \u0928\u093e\u0907\u091f\u094d\u0930\u093e\u0907\u0932 (PAN) \u0907\u0924\u094d\u092f\u093e\u0926\u093f \u0915\u0947 \u0905\u0932\u093e\u0935\u093e \u0905\u0927\u093f\u0915 \u092e\u093e\u0924\u094d\u0930\u093e \u092e\u0947\u0902 X \u092d\u0940 \u0939\u094b\u0924\u093e \u0939\u0948, X \u0939\u0948 :",
"options": [
"CH\u2084",
"CO",
"CO\u2082",
"O\u2083"
],
"answer": "2",
"original_question_num": "20"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 23,
"question": "1.4 g \u0915\u093e\u0930\u094d\u092c\u0928\u093f\u0915 \u092f\u094c\u0917\u093f\u0915 \u0915\u094b \u0915\u0947\u091c\u0947\u0932\u094d\u0921\u093e\u0932 \u0935\u093f\u0927\u093f \u0915\u0947 \u0905\u0928\u0941\u0938\u093e\u0930 \u092a\u093e\u091a\u093f\u0924 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0924\u0925\u093e \u0928\u093f\u0915\u0932\u0947 \u0905\u092e\u094b\u0928\u093f\u092f\u093e \u0915\u094b 60 mL M/10, H\u2082SO\u2084 \u0935\u093f\u0932\u092f\u0928 \u092e\u0947\u0902 \u0905\u0935\u0936\u094b\u0937\u093f\u0924 \u0915\u093f\u092f\u093e \u0917\u092f\u093e\u0964 \u0905\u0924\u093f\u0930\u093f\u0915\u094d\u0924 \u0938\u0932\u094d\u092b\u094d\u092f\u0942\u0930\u093f\u0915 \u0905\u092e\u094d\u0932 \u0915\u094b \u0909\u0926\u093e\u0938\u0940\u0928 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f 20 mL, M/10, NaOH \u0932\u0917\u093e\u092f\u093e\u0964 \u0907\u0938 \u092f\u094c\u0917\u093f\u0915 \u092e\u0947\u0902 \u0928\u093e\u0907\u091f\u094d\u0930\u094b\u091c\u0928 \u0915\u0940 \u092a\u094d\u0930\u0924\u093f\u0936\u0924\u0924\u093e \u0939\u0948 :",
"options": [
"3",
"5",
"10",
"24"
],
"answer": "2",
"original_question_num": "21"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 23,
"question": "\u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0927\u094d\u0930\u0941\u0935\u0923 \u0905\u0915\u094d\u0930\u093f\u092f \u092f\u094c\u0917\u093f\u0915 \u0939\u0948 :",
"options": [
"2 - \u0915\u094d\u0932\u094b\u0930\u094b\u092a\u094d\u0930\u094b\u092a\u0947\u0928\u0932",
"2 - \u0915\u094d\u0932\u094b\u0930\u094b\u092a\u0947\u0902\u091f\u0947\u0928",
"2 - \u0915\u094d\u0932\u094b\u0930\u094b\u092c\u094d\u092f\u0942\u091f\u0947\u0928",
"2 - \u0915\u094d\u0932\u094b\u0930\u094b - 2 - \u092e\u0947\u0925\u093e\u0907\u0932\u092c\u094d\u092f\u0942\u091f\u0947\u0928"
],
"answer": "1",
"original_question_num": "22"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 19,
"question": "\u0906\u0935\u093f\u0915\u0932\u094d\u092a\u0928 \u0914\u0930 \u0924\u0930\u094d\u0915 \u0915\u094b \u0938\u092e\u091d\u0915\u0930 \u0938\u0939\u0940 \u0935\u093f\u0915\u0932\u094d\u092a \u091a\u0941\u0928\u093f\u090f\u0964",
"options": [
"\u0906\u0935\u093f\u0915\u0932\u094d\u092a\u0928 \u0935 \u0924\u0930\u094d\u0915 \u0926\u094b\u0928\u094b\u0902 \u0938\u0939\u0940 \u0939\u0948\u0902 \u0914\u0930 \u0924\u0930\u094d\u0915 \u0906\u0935\u093f\u0915\u0932\u094d\u092a\u0928 \u0915\u093e \u0938\u0939\u0940 \u0938\u094d\u092a\u0937\u094d\u091f\u0940\u0915\u0930\u0923 \u0939\u0948\u0964",
"\u0906\u0935\u093f\u0915\u0932\u094d\u092a\u0928 \u0935 \u0924\u0930\u094d\u0915 \u0926\u094b\u0928\u094b\u0902 \u0938\u0939\u0940 \u0939\u0948\u0902 \u092e\u0917\u0930 \u0924\u0930\u094d\u0915 \u0906\u0935\u093f\u0915\u0932\u094d\u092a\u0928 \u0915\u093e \u0938\u0939\u0940 \u0938\u094d\u092a\u0937\u094d\u091f\u0940\u0915\u0930\u0923 \u0928\u0939\u0940\u0902 \u0939\u0948\u0964",
"\u0906\u0935\u093f\u0915\u0932\u094d\u092a\u0928 \u0938\u0939\u0940 \u0939\u0948 \u092e\u0917\u0930 \u0924\u0930\u094d\u0915 \u0917\u0932\u0924 \u0939\u0948\u0964",
"\u0906\u0935\u093f\u0915\u0932\u094d\u092a\u0928 \u0917\u0932\u0924 \u0939\u0948 \u0914\u0930 \u0924\u0930\u094d\u0915 \u0938\u0939\u0940 \u0939\u0948\u0964"
],
"answer": "2",
"original_question_num": "4"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 19,
"question": "\u092e\u0940\u0925\u0947\u0928 \u0924\u0925\u093e \u090f\u0925\u0947\u0928 \u0915\u0947 \u0915\u092b\u0928\u0940\u0915\u0930\u0923 \u090a\u0937\u094d\u092e\u093e \u0915\u094d\u0930\u092e\u0936\u0903 360 kJ/mol \u0924\u0925\u093e 620 kJ/mol \u0939\u0948\u0964 C - C \u092c\u0902\u0927 \u0915\u094b \u0924\u094b\u0921\u093c\u0928\u0947 \u0915\u0940 \u0915\u094d\u0937\u092e\u0924\u093e \u0930\u0916\u0928\u0947 \u0935\u093e\u0932\u093e \u092a\u094d\u0930\u0915\u093e\u0936 \u0915\u093e \u0926\u0940\u0930\u094d\u0918\u0924\u092e \u0924\u0930\u0902\u0917\u0926\u0948\u0930\u094d\u0918\u094d\u092f \u0939\u094b\u0917\u0940 (\u0905\u0935\u094b\u0917\u093e\u0926\u094d\u0930\u094b \u0938\u0902\u0916\u094d\u092f\u093e = 6.02 x 10^23, h = 6.62 x 10^-34 J s) :",
"options": [
"1.49 x 10^3 nm",
"2.48 x 10^3 nm",
"2.48 x 10^4 nm",
"1.49 x 10^4 nm"
],
"answer": "3",
"original_question_num": "5"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 19,
"question": "20\u00b0C \u092a\u0930 \u090f\u0915 \u0935\u093f\u0932\u092f\u0928 \u092e\u0947\u0902 1.5 \u092e\u094b\u0932 \u092c\u0947\u0902\u091c\u0940\u0928 \u0914\u0930 3.5 \u092e\u094b\u0932 \u091f\u094b\u0932\u094d\u092f\u0942\u0928 \u0939\u0948\u0902\u0964 \u0905\u0917\u0930 \u0907\u0938 \u0924\u093e\u092a \u092a\u0930 \u0936\u0941\u0926\u094d\u0927 \u092c\u0947\u0902\u091c\u0940\u0928 \u0914\u0930 \u0936\u0941\u0926\u094d\u0927 \u091f\u094b\u0932\u094d\u092f\u0942\u0928 \u0915\u0947 \u0935\u093e\u0937\u094d\u092a \u0926\u093e\u092c \u0915\u094d\u0930\u092e\u0936\u0903 74.7 torr \u0914\u0930 22.3 torr \u0939\u0948\u0902, \u0924\u092c \u0935\u093f\u0932\u092f\u0928 \u0915\u093e \u0915\u0941\u0932 \u0935\u093e\u0937\u094d\u092a \u0926\u093e\u092c \u0914\u0930 \u092c\u0947\u0902\u091c\u0940\u0928 \u0915\u093e \u092e\u094b\u0932 \u0905\u0902\u0936 \u0907\u0938\u0915\u0947 \u0938\u093e\u092e\u094d\u092f \u092e\u0947\u0902 \u0915\u094d\u0930\u092e\u0936\u0903 \u0939\u0948:",
"options": [
"35.0 torr \u0914\u0930 0.480",
"38.0 torr \u0914\u0930 0.589",
"30.5 torr \u0914\u0930 0.389",
"35.8 torr \u0914\u0930 0.280"
],
"answer": "3",
"original_question_num": "6"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 15,
"question": "\u0915\u093f\u0938\u0940 \u0926\u0942\u0930\u0926\u0930\u094d\u0936\u0915 \u0915\u0947 \u0905\u092d\u093f\u0926\u0943\u0936\u094d\u092f\u0915 \u0924\u0925\u093e \u0928\u0947\u0924\u094d\u0930\u093f\u0915\u093e \u0915\u0940 \u092b\u094b\u0915\u0938 \u0926\u0942\u0930\u0940 \u0915\u094d\u0930\u092e\u0936\u0903 150 cm \u0924\u0925\u093e 5 cm \u0939\u0948\u0964 \u092f\u0926\u093f 1 km \u0926\u0942\u0930 \u0938\u094d\u0925\u093f\u0924 \u0915\u093f\u0938\u0940 50 m \u090a\u0901\u091a\u0947 \u091f\u093e\u0935\u0930 (\u092e\u0940\u0928\u093e\u0930) \u0915\u094b, \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0935\u093f\u0928\u094d\u092f\u093e\u0938 \u092e\u0947\u0902, \u0926\u0942\u0930\u0926\u0930\u094d\u0936\u0915 \u0938\u0947 \u0926\u0947\u0916\u0928\u0947 \u092a\u0930, \u091f\u093e\u0935\u0930 \u0915\u0947 \u092a\u094d\u0930\u0924\u093f\u092c\u093f\u092e\u094d\u092c \u0926\u094d\u0935\u093e\u0930\u093e \u092c\u0928\u093e\u092f\u093e \u0917\u092f\u093e \u0915\u094b\u0923, \u03b8 \u0939\u094b \u0924\u094b, \u03b8 \u0915\u093e \u092e\u093e\u0928 \u0939\u094b\u0917\u093e \u0932\u0917\u092d\u0917 :",
"options": [
"1\u00b0",
"15\u00b0",
"30\u00b0",
"60\u00b0"
],
"answer": "4",
"original_question_num": "26"
},
{
"language": "hi",
"country": "India",
"file_name": "67459eeeb4713a4e7d4f2f632c7e1200",
"source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 15,
"question": "50 V \u0935\u094b\u0932\u094d\u091f\u0924\u093e \u0926\u094d\u0935\u093e\u0930\u093e \u0924\u094d\u0935\u0930\u093f\u0924 \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928 \u0915\u0940 \u0926\u0947-\u092c\u094d\u0930\u0949\u0917\u094d\u0932\u0940 \u0924\u0930\u0902\u0917\u0926\u0948\u0930\u094d\u0918\u094d\u092f \u0915\u093e \u0928\u093f\u0915\u091f\u0924\u092e \u092e\u093e\u0928 \u0939\u094b\u0917\u093e : (|e| = 1.6 \u00d7 10-19 C, me = 9.1 \u00d7 10-31 kg, h = 6.6 \u00d7 10-34 Js)",
"options": [
"0.5 \u00c5",
"1.2 \u00c5",
"1.7 \u00c5",
"2.4 \u00c5"
],
"answer": "3",
"original_question_num": "27"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 36,
"question": "\u092e\u093e\u0928 x \u2208 R, x \u2260 -1 \u0915\u0947 \u0932\u093f\u090f, \u092f\u0926\u093f (1 + x)^{2016} + x(1 + x)^{2015} + x^2(1 + x)^{2014} + ...... + x^{2016} = \u2211_{i = 0}^{2016} a_i x^i \u0939\u0948\u0902, \u0924\u094b a_{17} \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"2017! / 17! 2000!",
"2016! / 17! 1999!",
"2017! / 2000!",
"2016! / 16!"
],
"answer": "1",
"original_question_num": "67"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 36,
"question": "\u092e\u093e\u0928 x, y, z \u0910\u0938\u0940 \u0927\u0928\u093e\u0924\u094d\u092e\u0915 \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901 \u0939\u0948\u0902 \u0915\u093f, x + y + z = 12 \u0924\u0925\u093e x^3y^4z^5 = (0.1) (600)^3 \u0939\u0948, \u0924\u094b x^3 + y^3 + z^3 \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"270",
"258",
"342",
"216"
],
"answer": "4",
"original_question_num": "68"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 20,
"question": "\u090f\u0915 \u0905\u091c\u094d\u091e\u093e\u0924 \u091f\u094d\u0930\u093e\u0902\u091c\u093f\u0938\u094d\u091f\u0930 \u0915\u094b npn \u0905\u0925\u0935\u093e pnp \u0915\u0947 \u092a\u094d\u0930\u0915\u093e\u0930 \u092e\u0947\u0902 \u092a\u0939\u091a\u093e\u0928 \u0915\u0930\u0928\u093e \u0939\u0948\u0964 \u090f\u0915 pnp \u091f\u094d\u0930\u093e\u0902\u091c\u093f\u0938\u094d\u091f\u0930 \u0915\u093e \u091f\u0930\u094d\u092e\u093f\u0928\u0932 2 \u0909\u0938\u0915\u093e \u092c\u0947\u0938 \u0939\u0948\u0964 \u090f\u0915 \u092e\u0932\u094d\u091f\u0940\u092e\u0940\u091f\u0930 \u0915\u0947 +ve \u0935 -ve \u091f\u0930\u094d\u092e\u093f\u0928\u0932 \u0907\u0938 \u091f\u094d\u0930\u093e\u0902\u091c\u093f\u0938\u094d\u091f\u0930 \u0915\u0947 \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u091f\u0930\u094d\u092e\u093f\u0928\u0932 1, 2 \u0935 3 \u0915\u0947 \u092c\u0940\u091a \u0932\u0917\u093e\u0915\u0930 \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927 \u092e\u093e\u092a\u0947 \u0917\u092f\u0947\u0964 \u0924\u092c \u0907\u0938 \u091f\u094d\u0930\u093e\u0902\u091c\u093f\u0938\u094d\u091f\u0930 \u0915\u0947 \u0932\u093f\u090f \u0915\u094c\u0928-\u0938\u093e \u0928\u093f\u092f\u092e \u0938\u0939\u0940 \u0939\u0948?",
"options": [
"+ ve \u0938\u0947 \u091f\u0930\u094d\u092e\u093f\u0928\u0932 1, \u2013 ve \u0938\u0947 \u091f\u0930\u094d\u092e\u093f\u0928\u0932 2, \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927 \u091c\u094d\u092f\u093e\u0926\u093e\u0964",
"+ ve \u0938\u0947 \u091f\u0930\u094d\u092e\u093f\u0928\u0932 2, \u2013 ve \u0938\u0947 \u091f\u0930\u094d\u092e\u093f\u0928\u0932 1, \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927 \u091c\u094d\u092f\u093e\u0926\u093e\u0964",
"+ ve \u0938\u0947 \u091f\u0930\u094d\u092e\u093f\u0928\u0932 3, \u2013 ve \u0938\u0947 \u091f\u0930\u094d\u092e\u093f\u0928\u0932 2, \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927 \u091c\u094d\u092f\u093e\u0926\u093e\u0964",
"+ ve \u0938\u0947 \u091f\u0930\u094d\u092e\u093f\u0928\u0932 2, \u2013 ve \u0938\u0947 \u091f\u0930\u094d\u092e\u093f\u0928\u0932 3, \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927 \u0915\u092e"
],
"answer": "2",
"original_question_num": "30"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 20,
"question": "35.5 g \u0906\u0930\u094d\u0938\u0947\u0928\u093f\u0915 \u0905\u092e\u094d\u0932 \u0915\u094b, \u0938\u093e\u0928\u094d\u0926\u094d\u0930 HCl \u0915\u0940 \u0909\u092a\u0938\u094d\u0925\u093f\u0924\u093f \u092e\u0947\u0902 H2S \u0915\u0940 \u0905\u0927\u093f\u0915 \u092e\u093e\u0924\u094d\u0930\u093e \u0938\u0947 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0930\u093e\u0928\u0947 \u092a\u0930 \u0906\u0930\u094d\u0938\u0947\u0928\u093f\u0915 \u092a\u0947\u0928\u094d\u091f\u093e\u0938\u0932\u094d\u092b\u093e\u0907\u0921 \u0915\u0940 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u094b\u0928\u0947 \u0935\u093e\u0932\u0940 \u092e\u093e\u0924\u094d\u0930\u093e \u0939\u0948 (\u092f\u0926\u093f 100% \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u092e\u093e\u0928\u0947\u0902 \u0924\u094b):",
"options": [
"0.50 \u092e\u094b\u0932",
"0.25 \u092e\u094b\u0932",
"0.125 \u092e\u094b\u0932",
"0.333 \u092e\u094b\u0932"
],
"answer": "3",
"original_question_num": "31"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 8,
"question": "\u090f\u0915 \u0906\u0935\u0947\u0936-\u0935\u093f\u0924\u0930\u0923 \u0915\u0947 \u0926\u094d\u0935\u093e\u0930\u093e \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0935\u093f\u092d\u0935 (\u0935\u094b\u0932\u094d\u091f \u092e\u0947\u0902) \u0909\u0924\u094d\u092a\u0928\u094d\u0928 \u0939\u094b\u0924\u093e \u0939\u0948 :\nV(z) = 30 \u2013 5z\u00b2, |z| \u2264 1m \u092e\u0947\u0902\nV(z) = 35 \u2013 10 |z|, |z| \u2265 1m \u092e\u0947\u0902\nV(z) x \u090f\u0935\u0902 y \u092a\u0930 \u0928\u093f\u0930\u094d\u092d\u0930 \u0928\u0939\u0940\u0902 \u0915\u0930\u0924\u093e\u0964 \u092f\u0926\u093f \u092f\u0939 \u0935\u093f\u092d\u0935 \u090f\u0915 \u0928\u093f\u092f\u0924 \u0906\u0935\u0947\u0936 \u0918\u0928\u0924\u094d\u0935 \u03c1\u2080 \u092a\u094d\u0930\u0924\u093f \u0907\u0915\u093e\u0908 \u0906\u092f\u0924\u0928 (\u03b5\u2080 \u0907\u0915\u093e\u0907\u092f\u094b\u0902 \u092e\u0947\u0902) \u0938\u0947 \u0924\u0925\u093e \u090f\u0915 \u0926\u093f\u090f \u0939\u0941\u090f \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u092e\u0947\u0902 \u092b\u0948\u0932\u093e \u0939\u0941\u0906 \u0939\u0948, \u0938\u0947 \u0909\u0924\u094d\u092a\u0928\u094d\u0928 \u0939\u0948, \u0924\u092c \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u0947\u0902 \u0938\u0947 \u0938\u0939\u0940 \u0935\u093f\u0915\u0932\u094d\u092a \u0915\u093e \u091a\u092f\u0928 \u0915\u0930\u0947\u0902 :\n(1) \u03c1\u2080 = 10 \u03b5\u2080 |z| \u2264 1m \u092e\u0947\u0902 \u0924\u0925\u093e \u03c1\u2080 = 0 \u0905\u0928\u094d\u092f\u0924\u094d\u0930\n(2) \u03c1\u2080 = 20 \u03b5\u2080 \u0938\u0930\u094d\u0935\u0924\u094d\u0930\n(3) \u03c1\u2080 = 40 \u03b5\u2080 \u0938\u0930\u094d\u0935\u0924\u094d\u0930\n(4) \u03c1\u2080 = 20 \u03b5\u2080 |z| \u2264 1m \u092e\u0947\u0902 \u0924\u0925\u093e \u03c1\u2080 = 0 \u0905\u0928\u094d\u092f\u0924\u094d\u0930",
"options": [
"\u03c1\u2080 = 10 \u03b5\u2080 |z| \u2264 1m \u092e\u0947\u0902 \u0924\u0925\u093e \u03c1\u2080 = 0 \u0905\u0928\u094d\u092f\u0924\u094d\u0930",
"\u03c1\u2080 = 20 \u03b5\u2080 \u0938\u0930\u094d\u0935\u0924\u094d\u0930",
"\u03c1\u2080 = 40 \u03b5\u2080 \u0938\u0930\u094d\u0935\u0924\u094d\u0930",
"\u03c1\u2080 = 20 \u03b5\u2080 |z| \u2264 1m \u092e\u0947\u0902 \u0924\u0925\u093e \u03c1\u2080 = 0 \u0905\u0928\u094d\u092f\u0924\u094d\u0930"
],
"answer": "1",
"original_question_num": "12"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 8,
"question": "4 \u03bcF \u0927\u093e\u0930\u093f\u0924\u093e \u0915\u0947 \u0924\u0940\u0928 \u0938\u0902\u0927\u093e\u0930\u093f\u0924\u094d\u0930\u094b\u0902 \u0938\u0947 \u0909\u0938 \u0924\u0930\u0939 \u0938\u0947 \u0938\u0902\u092f\u094b\u091c\u0928 \u092c\u0928\u093e\u0928\u093e \u0939\u0948 \u0915\u093f \u092a\u094d\u0930\u092d\u093e\u0935\u0940 \u0927\u093e\u0930\u093f\u0924\u093e 6 \u03bcF \u0939\u094b \u091c\u093e\u090f\u0964 \u092f\u0939 \u0928\u093f\u092e\u094d\u0928 \u0938\u0902\u092f\u094b\u091c\u0928 \u0938\u0947 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948 :\n(1) \u0924\u0940\u0928\u094b\u0902 \u0936\u094d\u0930\u0947\u0923\u0940 \u0915\u094d\u0930\u092e \u092e\u0947\u0902\n(2) \u0926\u094b \u0936\u094d\u0930\u0947\u0923\u0940 \u0915\u094d\u0930\u092e \u092e\u0947\u0902 \u0924\u0925\u093e \u0924\u0940\u0938\u0930\u093e \u092a\u093e\u0930\u094d\u0936\u094d\u0935\u0915\u094d\u0930\u092e \u092e\u0947\u0902\n(3) \u0924\u0940\u0928\u094b\u0902 \u092a\u093e\u0930\u094d\u0936\u094d\u0935\u0915\u094d\u0930\u092e \u092e\u0947\u0902\n(4) \u0926\u094b \u092a\u093e\u0930\u094d\u0936\u094d\u0935\u0915\u094d\u0930\u092e \u092e\u0947\u0902 \u0924\u0925\u093e \u0924\u0940\u0938\u0930\u093e \u0936\u094d\u0930\u0947\u0923\u0940 \u0915\u094d\u0930\u092e \u092e\u0947\u0902",
"options": [
"\u0924\u0940\u0928\u094b\u0902 \u0936\u094d\u0930\u0947\u0923\u0940 \u0915\u094d\u0930\u092e \u092e\u0947\u0902",
"\u0926\u094b \u0936\u094d\u0930\u0947\u0923\u0940 \u0915\u094d\u0930\u092e \u092e\u0947\u0902 \u0924\u0925\u093e \u0924\u0940\u0938\u0930\u093e \u092a\u093e\u0930\u094d\u0936\u094d\u0935\u0915\u094d\u0930\u092e \u092e\u0947\u0902",
"\u0924\u0940\u0928\u094b\u0902 \u092a\u093e\u0930\u094d\u0936\u094d\u0935\u0915\u094d\u0930\u092e \u092e\u0947\u0902",
"\u0926\u094b \u092a\u093e\u0930\u094d\u0936\u094d\u0935\u0915\u094d\u0930\u092e \u092e\u0947\u0902 \u0924\u0925\u093e \u0924\u0940\u0938\u0930\u093e \u0936\u094d\u0930\u0947\u0923\u0940 \u0915\u094d\u0930\u092e \u092e\u0947\u0902"
],
"answer": "2",
"original_question_num": "13"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 16,
"question": "\u090f\u0915 \u0939\u093e\u0907\u0921\u094d\u0930\u094b\u091c\u0928 \u092a\u0930\u092e\u093e\u0923\u0941 n = 2 \u0915\u094d\u0935\u093e\u0902\u091f\u092e \u0938\u0902\u0916\u094d\u092f\u093e \u0935\u093e\u0932\u0947 \u090a\u0930\u094d\u091c\u093e \u0938\u094d\u0924\u0930 \u0938\u0947 n = 1 \u0915\u094d\u0935\u093e\u0902\u091f\u092e \u0938\u0902\u0916\u094d\u092f\u093e \u0935\u093e\u0932\u0947 \u090a\u0930\u094d\u091c\u093e \u0938\u094d\u0924\u0930 \u092e\u0947\u0902 \u0938\u0902\u0915\u094d\u0930\u092e\u0923 \u0915\u0930\u0928\u0947 \u092a\u0930 \u090f\u0915 \u092b\u094b\u091f\u0949\u0928 \u0909\u0924\u094d\u0938\u0930\u094d\u091c\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u092f\u0939 \u092b\u094b\u091f\u0949\u0928 \u090f\u0915 \u0926\u094d\u0935\u093f-\u0906\u092f\u0928\u0940\u0915\u0943\u0924 \u0932\u093f\u0925\u093f\u092f\u092e \u092a\u0930\u092e\u093e\u0923\u0941 (z = 3) (\u091c\u094b \u0915\u093f \u090a\u0930\u094d\u091c\u093e \u0905\u0935\u0938\u094d\u0925\u093e \u092e\u0947\u0902 \u0939\u0948) \u0938\u0947 \u091f\u0915\u0930\u093e\u0924\u093e \u0939\u0948 \u0914\u0930 \u0915\u0915\u094d\u0937\u0940\u092f \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928 (orbiting electron) \u0915\u094b \u092a\u0942\u0930\u0940 \u0924\u0930\u0939 \u0938\u0947 \u092c\u093e\u0939\u0930 \u0928\u093f\u0915\u093e\u0932 \u0926\u0947\u0924\u093e \u0939\u0948\u0964 \u0907\u0938 \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0947 \u0932\u093f\u090f \u0906\u092f\u0928 \u0915\u0940 \u090a\u0930\u094d\u091c\u093e \u0905\u0935\u0938\u094d\u0925\u093e \u0915\u0940 \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0915\u094d\u0935\u093e\u0902\u091f\u092e \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u094b\u0917\u0940 :",
"options": [
"2",
"3",
"4",
"5"
],
"answer": "3",
"original_question_num": "22"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 41,
"question": "\u092f\u0926\u093f f(x), \u0905\u0902\u0924\u0930\u093e\u0932 (0, \u221e) \u092e\u0947\u0902 \u090f\u0915 \u0910\u0938\u093e \u0905\u0935\u0915\u0932\u0928\u0940\u092f \u092b\u0932\u0928 \u0939\u0948 \u0915\u093f f(1) = 1 \u0924\u0925\u093e \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 x>0 \u0915\u0947 \u0932\u093f\u090f,\nlim t\u2192x (t^2 f(x) - x^2 f(t)) / (t - x) = 1 \u0939\u0948, \u0924\u094b f(3/2) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"13/6",
"23/18",
"25/9",
"31/18"
],
"answer": "4",
"original_question_num": "77"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 41,
"question": "\u092f\u0926\u093f \u0930\u0947\u0916\u093e\u0913\u0902 x/3 + y/4 = 1 \u0924\u0925\u093e x/4 + y/3 = 1 \u0915\u0947 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926\u0928 \u0938\u0947 \u0939\u094b\u0915\u0930 \u091c\u093e\u0928\u0947 \u0935\u093e\u0932\u0940 \u090f\u0915 \u091a\u0932 \u0930\u0947\u0916\u093e \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0916\u0940\u0902\u091a\u0940 \u0917\u0908 \u0939\u0948 \u0915\u093f \u0935\u0939 \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 \u0905\u0915\u094d\u0937\u094b\u0902 \u0915\u094b A \u0924\u0925\u093e B, (A\u2260B) \u092a\u0930 \u092e\u093f\u0932\u0924\u0940 \u0939\u0948, \u0924\u094b AB \u0915\u0947 \u092e\u0927\u094d\u092f\u092c\u093f\u0902\u0926\u0941 \u0915\u093e \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 \u0939\u0948 :",
"options": [
"6xy = 7(x + y)",
"4(x + y)^2 - 28(x + y) + 49 = 0",
"7xy = 6(x + y)",
"14(x + y)^2 - 97(x + y) + 168 = 0"
],
"answer": "3",
"original_question_num": "78"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 40,
"question": "\u092f\u0926\u093f \\(2 \\int_{0}^{1} \\tan^{-1} x dx = \\int_{0}^{1} \\cot^{-1} (1 - x + x^2) dx\\), \u0924\u094b \\(\\int_{0}^{1} \\tan^{-1} (1 - x + x^2) dx \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"log4",
"\\(\\frac{\\pi}{2}\\) + log2",
"log2",
"\\(\\frac{\\pi}{2}\\) - log4"
],
"answer": "3",
"original_question_num": "75"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 40,
"question": "A = \\(\\{(x, y) | y \\geq x^2 - 5x + 4, x + y \\geq 1, y \\leq 0\\}\\) \u0926\u094d\u0935\u093e\u0930\u093e \u0928\u093f\u0930\u094d\u0927\u093e\u0930\u093f\u0924 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 (\u0935\u0930\u094d\u0917 \u0907\u0915\u093e\u0907\u092f\u094b\u0902 \u092e\u0947\u0902) \u0939\u0948 :",
"options": [
"\\(\\frac{7}{2}\\)",
"\\(\\frac{19}{6}\\)",
"\\(\\frac{13}{6}\\)",
"\\(\\frac{17}{6}\\)"
],
"answer": "2",
"original_question_num": "76"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 17,
"question": "\u090f\u0915 \u0927\u094d\u0935\u0928\u093f-\u0938\u093f\u0917\u094d\u0928\u0932 \u0926\u094b \u0938\u094d\u092a\u0937\u094d\u091f \u0938\u093f\u0917\u094d\u0928\u0932\u094b\u0902 \u0938\u0947 \u0928\u093f\u0930\u094d\u092e\u093f\u0924 \u0939\u0948\u0964 \u0907\u0928\u092e\u0947\u0902 \u0938\u0947 \u090f\u0915 \u092e\u0928\u0941\u0937\u094d\u092f \u0926\u094d\u0935\u093e\u0930\u093e \u092d\u093e\u0937\u093f\u0924 \u0938\u093f\u0917\u094d\u0928\u0932 \u0939\u0948 \u091c\u094b 200 Hz \u0938\u0947 2700 Hz \u0915\u0947 \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u0905\u0902\u0924\u0930\u093e\u0932 \u0915\u093e \u0939\u0948, \u0924\u0925\u093e \u0926\u0942\u0938\u0930\u093e \u0938\u093f\u0917\u094d\u0928\u0932 10200 Hz \u0938\u0947 15200 Hz \u0924\u0915 \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u0935\u093e\u0932\u0947 \u0938\u0902\u0917\u0940\u0924 \u0915\u093e \u0939\u0948\u0964 \u0926\u094b\u0928\u094b\u0902 \u0938\u093f\u0917\u094d\u0928\u0932\u094b\u0902 \u0915\u0947 \u0938\u0902\u091a\u093e\u0930\u0923 \u0915\u0947 \u0932\u093f\u090f \u0906\u0935\u0936\u094d\u092f\u0915 AM \u0938\u093f\u0917\u094d\u0928\u0932 \u0915\u0940 \u092c\u0948\u0902\u0921-\u091a\u094c\u0921\u093c\u093e\u0908 \u0914\u0930 \u0915\u0947\u0935\u0932 \u092e\u0928\u0941\u0937\u094d\u092f \u0926\u094d\u0935\u093e\u0930\u093e \u092d\u093e\u0937\u093f\u0924 \u0938\u093f\u0917\u094d\u0928\u0932 \u0915\u0947 \u0938\u0902\u091a\u093e\u0930\u0923 \u0915\u0947 \u0932\u093f\u090f \u0906\u0935\u0936\u094d\u092f\u0915 AM \u0938\u093f\u0917\u094d\u0928\u0932 \u0915\u0940 \u092c\u0948\u0902\u0921-\u091a\u094c\u0921\u093c\u093e\u0908 \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 \u0915\u094d\u092f\u093e \u0939\u094b\u0917\u093e?",
"options": [
"3",
"5",
"6",
"2"
],
"answer": "3",
"original_question_num": "24"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 17,
"question": "T = 0\u00b0C \u092a\u0930 \u090f\u0915 \u0938\u0930\u0932 \u0932\u094b\u0932\u0915, \u091c\u094b \u0915\u093f m \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 \u0915\u0947 \u0917\u094b\u0932\u0947 \u0914\u0930 \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 \u0930\u0939\u093f\u0924 \u0927\u093e\u0924\u0941 \u0915\u0947 \u0924\u093e\u0930 \u0938\u0947 \u0928\u093f\u0930\u094d\u092e\u093f\u0924 \u0939\u0948, \u0915\u093e \u0906\u0935\u0930\u094d\u0924-\u0915\u093e\u0932 2 s \u0939\u0948\u0964 \u092f\u0926\u093f \u0924\u093e\u0930 \u0915\u0947 \u0924\u093e\u092a\u092e\u093e\u0928 \u0915\u094b \u092c\u0922\u093c\u093e\u0928\u0947 \u0938\u0947, \u0906\u0935\u0930\u094d\u0924-\u0915\u093e\u0932 \u092e\u0947\u0902 \u0939\u0941\u0908 \u0935\u0943\u0926\u094d\u0927\u093f \u0915\u094b \u0917\u094d\u0930\u093e\u092b \u0926\u094d\u0935\u093e\u0930\u093e \u0926\u0930\u094d\u0936\u093e\u092f\u093e \u091c\u093e\u092f\u0947, \u0924\u094b \u092a\u0930\u093f\u0923\u093e\u092e\u0940 \u0917\u094d\u0930\u093e\u092b \u0915\u0940 \u0922\u093e\u0932-\u092e\u093e\u0928 (slope) S \u0939\u0948\u0964 \u092f\u0926\u093f \u0924\u093e\u0930 \u0915\u093e \u0930\u0947\u0916\u0940\u092f-\u092a\u094d\u0930\u0938\u093e\u0930 \u0917\u0941\u0923\u093e\u0902\u0915 \u03b1 \u0939\u0948 \u0924\u094b S \u0915\u093e \u092e\u093e\u0928 \u0939\u094b\u0917\u093e :",
"options": [
"\u03b1",
"\u03b1/2",
"2\u03b1",
"1/\u03b1"
],
"answer": "2",
"original_question_num": "25"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 21,
"question": "\u0905\u0924\u094d\u092f\u0927\u093f\u0915 \u0926\u093e\u092c \u092a\u0930 \u090f\u0915 \u092e\u094b\u0932 \u0917\u0948\u0938 \u0915\u093e \u0938\u0902\u092a\u0940\u0921\u094d\u092f\u0924\u093e \u0917\u0941\u0923\u093e\u0902\u0915 \u0939\u094b\u0917\u093e :",
"options": [
"\\(\\frac{pb}{RT}\\)",
"\\(1 + \\frac{pb}{RT}\\)",
"\\(1 - \\frac{pb}{RT}\\)",
"\\(1 - \\frac{b}{(VRT)}\\)"
],
"answer": "1",
"original_question_num": "32"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 21,
"question": "\u092e\u0941\u0916\u094d\u092f \u0915\u094d\u0935\u093e\u0902\u091f\u092e \u0905\u0902\u0915 5 \u0938\u0947 \u091c\u0941\u0921\u093c\u0947 \u0939\u0941\u090f \u0915\u0915\u094d\u0937\u0915\u094b\u0902 (\u0911\u0930\u094d\u092c\u093f\u091f\u0932\u094d\u0938) \u0915\u0940 \u0915\u0941\u0932 \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948 :",
"options": [
"5",
"10",
"20",
"25"
],
"answer": "4",
"original_question_num": "33"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 21,
"question": "\u0907\u0928\u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928\u0938\u0940 \u0905\u0902\u0924\u0930\u093e\u0905\u0923\u093f\u0915 \u092c\u0932 \u091c\u0940\u0928\u0928 \u0915\u0947 \u0926\u094d\u0930\u0935\u0940\u0915\u0930\u0923 \u0915\u0947 \u0932\u093f\u090f \u0938\u092c\u0938\u0947 \u0905\u0927\u093f\u0915 \u0909\u0924\u094d\u0924\u0930\u0926\u093e\u092f\u0940 \u0939\u0948 ?",
"options": [
"\u0921\u093f\u092a\u094b\u0932 - \u0921\u093f\u092a\u094b\u0932",
"\u0906\u092f\u0928 - \u0921\u093f\u092a\u094b\u0932",
"\u0924\u093e\u0924\u094d\u0915\u093e\u0932\u093f\u0915 \u0921\u093f\u092a\u094b\u0932 - \u092a\u094d\u0930\u0947\u0930\u093f\u0924 \u0921\u093f\u092a\u094b\u0932",
"\u0906\u092f\u0928\u093f\u0915"
],
"answer": "3",
"original_question_num": "34"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 9,
"question": "\u090f\u0915 \u091a\u0941\u0902\u092c\u0915\u0940\u092f \u0926\u094d\u0935\u093f\u0927\u094d\u0930\u0941\u0935 \u092a\u0930 \u0926\u094b \u091a\u0941\u0902\u092c\u0915\u0940\u092f \u0915\u094d\u0937\u0947\u0924\u094d\u0930, \u091c\u094b \u0906\u092a\u0938 \u092e\u0947\u0902 75\u00b0 \u0915\u094b\u0923 \u092c\u0928\u093e\u0924\u0947 \u0939\u0948\u0902, \u090f\u0915 \u0938\u093e\u0925 \u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964 \u092f\u0926\u093f \u092f\u0939 \u0926\u094d\u0935\u093f\u0927\u094d\u0930\u0941\u0935 \u0938\u0902\u0924\u0941\u0932\u0928 \u0915\u0940 \u0905\u0935\u0938\u094d\u0925\u093e \u092e\u0947\u0902 \u091a\u0941\u0902\u092c\u0915\u0940\u092f \u092a\u094d\u0930\u0947\u0930\u0923 15 mT \u0915\u0947 \u090f\u0915 \u091a\u0941\u0902\u092c\u0915\u0940\u092f \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0938\u0947 30\u00b0 \u0915\u093e \u0915\u094b\u0923 \u092c\u0928\u093e\u0924\u093e \u0939\u0948, \u0924\u094b \u0926\u0942\u0938\u0930\u0947 \u091a\u0941\u0902\u092c\u0915\u0940\u092f \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0915\u0947 \u091a\u0941\u0902\u092c\u0915\u0940\u092f \u092a\u094d\u0930\u0947\u0930\u0923 \u0915\u093e \u0932\u0917\u092d\u0917 \u092e\u093e\u0928 (mT \u092e\u0947\u0902) \u0939\u094b\u0917\u093e:",
"options": [
"11",
"36",
"1",
"1060"
],
"answer": "1",
"original_question_num": "15"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 37,
"question": "15\u2211r=1 r2 (15Cr / 15Cr-1) \u0915\u093e \u092e\u093e\u0928 \u0939\u0948 :",
"options": [
"560",
"680",
"1240",
"1085"
],
"answer": "2",
"original_question_num": "69"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 37,
"question": "\u092f\u0926\u093f lim x\u2192\u221e (1 + a/x - 4/x2)2x = e3 \u0939\u0948, \u0924\u094b 'a' \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"2",
"3/2",
"2/3",
"1/2"
],
"answer": "2",
"original_question_num": "70"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 10,
"question": "\u090f\u0915 50 \u03a9 \u0915\u093e \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927 \u090f\u0915 5 V \u0915\u0940 \u092c\u0948\u091f\u0930\u0940 \u0938\u0947 \u091c\u0941\u0921\u093c\u093e \u0939\u0941\u0906 \u0939\u0948\u0964 \u090f\u0915 \u0917\u0948\u0932\u094d\u0935\u0947\u0928\u094b\u092e\u0940\u091f\u0930 \u091c\u093f\u0938\u0915\u093e \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927 100 \u03a9 \u0939\u0948, \u0915\u094b \u090f\u092e\u0940\u091f\u0930\u092e\u093e\u092a\u0940 \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0917\u0948\u0932\u094d\u0935\u0947\u0928\u094b\u092e\u0940\u091f\u0930 \u0915\u0947 \u0938\u093e\u0925 \u090f\u0915 \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927 r\u209b \u0938\u0902\u092f\u094b\u091c\u093f\u0924 \u0939\u0948\u0964 \u092f\u0926\u093f \u0907\u0938 \u0938\u0902\u092f\u094b\u091c\u0928 \u092e\u0947\u0902 \u092e\u093e\u092a\u093f\u0924 \u0927\u093e\u0930\u093e \u090f\u092e\u094d\u092a\u0940\u092f\u0930\u092e\u0940\u091f\u0930 \u0915\u094b \u0939\u091f\u093e\u0928\u0947 \u092a\u0930 \u092e\u093e\u092a\u093f\u0924 \u0927\u093e\u0930\u093e \u0915\u0947 \u092e\u093e\u0928 \u0938\u0947 1% \u0938\u0947 \u0905\u0927\u093f\u0915 \u0939\u094b \u0924\u094b \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928-\u0938\u093e \u0938\u0902\u092f\u094b\u091c\u0928 \u0909\u091a\u093f\u0924 \u0939\u094b\u0917\u093e?",
"options": [
"r\u209b = 0.5 \u03a9 \u0917\u0948\u0932\u094d\u0935\u0947\u0928\u094b\u092e\u0940\u091f\u0930 \u0915\u0947 \u0938\u093e\u0925 \u092a\u093e\u0930\u0915\u094d\u0930\u092e \u092e\u0947\u0902",
"r\u209b = 0.5 \u03a9 \u0917\u0948\u0932\u094d\u0935\u0947\u0928\u094b\u092e\u0940\u091f\u0930 \u0915\u0947 \u0938\u093e\u0925 \u0936\u094d\u0930\u0947\u0923\u0940 \u0915\u094d\u0930\u092e \u092e\u0947\u0902",
"r\u209b = 1 \u03a9 \u0917\u0948\u0932\u094d\u0935\u0947\u0928\u094b\u092e\u0940\u091f\u0930 \u0915\u0947 \u0938\u093e\u0925 \u0936\u094d\u0930\u0947\u0923\u0940 \u0915\u094d\u0930\u092e \u092e\u0947\u0902",
"r\u209b = 1 \u03a9 \u0917\u0948\u0932\u094d\u0935\u0947\u0928\u094b\u092e\u0940\u091f\u0930 \u0915\u0947 \u0938\u093e\u0925 \u092a\u093e\u0930\u0915\u094d\u0930\u092e \u092e\u0947\u0902"
],
"answer": "1",
"original_question_num": "16"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 30,
"question": "CH\u2083MgBr \u0915\u094b \u092e\u0947\u0925\u0947\u0928\u0949\u0932 \u092e\u0947\u0902 \u0917\u0930\u094d\u092e \u0915\u0930\u0928\u0947 \u092a\u0930 \u0909\u0924\u094d\u092a\u0928\u094d\u0928 \u0939\u094b\u0928\u0947 \u0935\u093e\u0932\u0940 \u0917\u0948\u0938 \u0939\u0948 :",
"options": [
"HBr",
"\u092e\u0940\u0925\u0947\u0928",
"\u090f\u0925\u0947\u0928",
"\u092a\u094d\u0930\u094b\u092a\u0947\u0928"
],
"answer": "2",
"original_question_num": "54"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 30,
"question": "\u092c\u0942\u0935\u094b-\u092c\u094d\u0932\u093e\u0902\u0915 \u0930\u093f\u0921\u0915\u094d\u0936\u0928 \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e \u092e\u0947\u0902 \u0939\u094b\u0924\u093e \u0939\u0948 :",
"options": [
"\u0910\u0938\u093f\u0932 \u0939\u0948\u0932\u093e\u0907\u0921 \u0915\u093e H\u2082/Pd \u0938\u0947 \u0905\u092a\u091a\u092f\u0928\u0964",
"\u090f\u0938\u094d\u091f\u0930 \u0915\u093e Na/C\u2082H\u2085OH \u0938\u0947 \u0905\u092a\u091a\u092f\u0928\u0964",
"\u0915\u093e\u0930\u094d\u092c\u094b\u0928\u093f\u0932 \u092f\u094c\u0917\u093f\u0915 \u0915\u093e Na/Hg \u0924\u0925\u093e HCl \u0938\u0947 \u0905\u092a\u091a\u092f\u0928\u0964",
"\u090f\u0915 \u0910\u0928\u0939\u093e\u0907\u0921\u094d\u0930\u093e\u0907\u0921 \u0915\u093e LiAlH\u2084 \u0938\u0947 \u0905\u092a\u091a\u092f\u0928\u0964"
],
"answer": "2",
"original_question_num": "55"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 30,
"question": "\u092a\u094d\u0930\u093e\u0925\u092e\u093f\u0915, \u0926\u094d\u0935\u093f\u0924\u0940\u092f\u0915 \u0924\u0925\u093e \u0924\u0943\u0924\u0940\u092f\u0915 \u0910\u092e\u0940\u0928\u094b\u0902 \u092e\u0947\u0902 \u0905\u0902\u0924\u0930 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u092f\u0947 \u092a\u094d\u0930\u092f\u0941\u0915\u094d\u0924 \u0939\u094b\u0928\u0947 \u0935\u093e\u0932\u093e \u092a\u0930\u0940\u0915\u094d\u0937\u0923 \u0939\u0948 :",
"options": [
"\u0915\u093e\u0930\u094d\u092c\u093e\u0907\u0932\u0910\u092e\u0940\u0928 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e",
"C\u2086H\u2085SO\u2082Cl",
"\u0938\u0948\u0902\u0921\u092e\u0947\u092f\u0930 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e",
"\u092e\u0938\u094d\u091f\u0930\u094d\u0921 \u0911\u092f\u0932 \u092a\u0930\u0940\u0915\u094d\u0937\u0923"
],
"answer": "2",
"original_question_num": "56"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 26,
"question": "\u092d\u093e\u0930\u0940 \u092a\u093e\u0928\u0940 \u0915\u0947 \u092c\u093e\u0930\u0947 \u092e\u0947\u0902 \u0926\u093f\u092f\u0947 \u0917\u092f\u0947 \u0915\u0925\u0928\u094b\u0902 \u092e\u0947\u0902 \u0938\u0947 \u0905\u0938\u0924\u094d\u092f \u0915\u0925\u0928 \u092a\u0939\u091a\u093e\u0928\u093f\u092f\u0947 :",
"options": [
"\u092f\u0939 Al4C3 \u0938\u0947 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0930\u0915\u0947 CD4 \u0924\u0925\u093e Al(OD)3 \u092c\u0928\u093e\u0924\u093e \u0939\u0948\u0964",
"\u0907\u0938\u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0928\u093e\u092d\u093f\u0915\u0940\u092f \u0930\u093f\u090f\u0915\u094d\u091f\u0930 \u092e\u0947\u0902 \u0936\u0940\u0924\u0932\u0915 \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964",
"\u092f\u0939 CaC2 \u0938\u0947 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0930\u0915\u0947 C2D2 \u0924\u0925\u093e Ca(OD)2 \u092c\u0928\u093e\u0924\u093e \u0939\u0948\u0964",
"\u092f\u0939 SO3 \u0938\u0947 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0930\u0915\u0947 \u0921\u094d\u092f\u0942\u091f\u0930\u0947\u091f\u0947\u0921 \u0938\u0932\u094d\u092b\u094d\u092f\u0942\u0930\u093f\u0915 \u0905\u092e\u094d\u0932 (D2SO4) \u092c\u0928\u093e\u0924\u093e \u0939\u0948\u0964"
],
"answer": "2",
"original_question_num": "43"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 26,
"question": "\u0915\u094d\u0937\u093e\u0930\u0940\u092f \u092e\u0943\u0926\u093e \u0927\u093e\u0924\u0941 \u0938\u0932\u094d\u092b\u0947\u091f\u094b\u0902 \u0915\u0940 \u091c\u0932 \u092e\u0947\u0902 \u0935\u093f\u0932\u0947\u092f\u0924\u093e \u0915\u093e \u0938\u0939\u0940 \u0915\u094d\u0930\u092e \u0939\u0948 :",
"options": [
"Mg < Ca < Sr < Ba",
"Mg < Sr < Ca < Ba",
"Mg > Sr > Ca > Ba",
"Mg > Ca > Sr > Ba"
],
"answer": "4",
"original_question_num": "44"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 26,
"question": "\u0915\u0949\u0932\u092e I \u092e\u0947\u0902 \u0926\u093f\u092f\u0947 \u0917\u092f\u0947 \u092a\u0926\u093e\u0930\u094d\u0925\u094b\u0902 (items) \u0915\u094b \u0915\u0949\u0932\u092e II \u092e\u0947\u0902 \u0926\u093f\u092f\u0947 \u0917\u092f\u0947 \u0909\u092a\u092f\u094b\u0917\u094b\u0902 \u0938\u0947 \u0938\u0941\u092e\u0947\u0932\u093f\u0924 \u0915\u0940\u091c\u093f\u092f\u0947 :",
"options": [
"(A)-(iii), (B)-(i), (C)-(iv), (D)-(ii)",
"(A)-(iv), (B)-(i), (C)-(ii), (D)-(iii)",
"(A)-(ii), (B)-(iv), (C)-(i), (D)-(iii)",
"(A)-(ii), (B)-(i), (C)-(iv), (D)-(iii)"
],
"answer": "1",
"original_question_num": "45"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 27,
"question": "\u0915\u094c\u0928 \u0938\u093e \u0938\u092e\u0942\u0939 \u0938\u092e\u092e\u093f\u0924 \u0905\u0923\u0941\u0913\u0902 \u0915\u093e \u0938\u092e\u0942\u0939 \u0939\u0948 :",
"options": [
"SF\u2084, XeF\u2084, CCl\u2084",
"ClF\u2083, XeOF\u2082, XeF\u2083\u207a",
"BF\u2083, PCl\u2083, XeO\u2083",
"PCl\u2085, IF\u2085, XeO\u2082F\u2082"
],
"answer": "2",
"original_question_num": "46"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 27,
"question": "\u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u0947\u0902 \u0938\u0947 \u091c\u0932\u0924\u093e\u092a \u0935\u093f\u0932\u092f\u0928 \u092e\u0947\u0902 \u0938\u094d\u0925\u093e\u092f\u0940 \u0938\u094d\u092a\u0940\u0936\u0940\u091c \u0915\u094c\u0928 \u0938\u0940 \u0939\u0948 ?",
"options": [
"Cr\u00b2\u207a",
"Cu\u207a",
"MnO\u2084\u00b3\u207b",
"MnO\u2084\u00b2\u207b"
],
"answer": "4",
"original_question_num": "47"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 27,
"question": "\u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0938\u0902\u0915\u0941\u0932\u094b\u0902 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928 \u0938\u093e \u0938\u0902\u0915\u0941\u0932 Ag(NO\u2083) \u0915\u0947 \u091c\u0932\u0940\u092f \u0935\u093f\u0932\u092f\u0928 \u0915\u0947 \u0905\u0927\u093f\u0915 \u0938\u092e\u0924\u0941\u0932\u094d\u092f \u0916\u092a\u093e\u092f\u0947\u0917\u093e ?",
"options": [
"Na\u2083[CrCl\u2086]",
"[Cr(H\u2082O)\u2085Cl]Cl\u2082",
"[Cr(H\u2082O)\u2086]Cl\u2083",
"Na\u2082[CrCl\u2085(H\u2082O)]"
],
"answer": "3",
"original_question_num": "48"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 31,
"question": "\u0930\u0947\u092f\u0949\u0928 \u090f\u0915 \u0905\u0930\u094d\u0926\u094d\u0927\u0938\u093f\u0902\u0925\u0947\u091f\u093f\u0915 \u092c\u0939\u0941\u0932\u0915 \u0939\u0948 \u091c\u093f\u0938\u0915\u0947 \u0917\u0941\u0923\u0927\u0930\u094d\u092e \u092a\u094d\u0930\u093e\u0915\u0943\u0924\u093f\u0915 \u0915\u092a\u093e\u0938 \u0938\u0947 \u0905\u0927\u093f\u0915 \u0905\u091a\u094d\u091b\u0947 \u0939\u0948\u0902\u0964",
"options": [
"'\u0915\u0925\u0928' \u0935 '\u0915\u093e\u0930\u0923' \u0926\u094b\u0928\u094b\u0902 \u0938\u0939\u0940 \u0939\u0948\u0902 \u0924\u0925\u093e '\u0915\u093e\u0930\u0923', '\u0915\u0925\u0928' \u0915\u093e \u0938\u0939\u0940 \u0935\u094d\u092f\u093e\u0916\u094d\u092f\u093e \u0939\u0948\u0964",
"'\u0915\u0925\u0928' \u0935 '\u0915\u093e\u0930\u0923' \u0926\u094b\u0928\u094b\u0902 \u0938\u0939\u0940 \u0939\u0948\u0902 \u0915\u093f\u0928\u094d\u0924\u0941 '\u0915\u093e\u0930\u0923', '\u0915\u0925\u0928' \u0915\u093e \u0938\u0939\u0940 \u0935\u094d\u092f\u093e\u0916\u094d\u092f\u093e \u0928\u0939\u0940\u0902 \u0939\u0948\u0964",
"'\u0915\u0925\u0928' \u0917\u0932\u0924 \u0939\u0948 \u0915\u093f\u0928\u094d\u0924\u0941 '\u0915\u093e\u0930\u0923' \u0938\u0939\u0940 \u0939\u0948\u0964",
"'\u0915\u0925\u0928' \u0935 '\u0915\u093e\u0930\u0923' \u0926\u094b\u0928\u094b\u0902 \u0917\u0932\u0924 \u0939\u0948\u0902\u0964"
],
"answer": "1",
"original_question_num": "57"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 46,
"question": "\u092f\u0926\u093f m \u0924\u0925\u093e M, \u0915\u094d\u0930\u092e\u0936\u0903 4 + 1/2 sin^2 2x - 2cos^4 x, x \u2208 R \u0915\u0947 \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0924\u0925\u093e \u0905\u0927\u093f\u0915\u0924\u092e \u092e\u093e\u0928 \u0939\u0948\u0902, \u0924\u094b M - m \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"15/4",
"9/4",
"7/4",
"1/4"
],
"answer": "2",
"original_question_num": "89"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 46,
"question": "\u0928\u093f\u092e\u094d\u0928 \u0926\u094b \u0915\u0925\u0928\u094b\u0902 \u092a\u0930 \u0935\u093f\u091a\u093e\u0930 \u0915\u0940\u091c\u093f\u090f :\nP: \u092f\u0926\u093f 7 \u090f\u0915 \u0935\u093f\u0937\u092e \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948, \u0924\u094b 7, 2 \u0938\u0947 \u092d\u093e\u091c\u094d\u092f \u0939\u0948\u0964\nQ: \u092f\u0926\u093f 7 \u090f\u0915 \u0905\u092d\u093e\u091c\u094d\u092f \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948, \u0924\u094b 7 \u090f\u0915 \u0935\u093f\u0937\u092e \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948\u0964\n\u092f\u0926\u093f V1, P \u0915\u0947 \u092a\u094d\u0930\u0924\u093f\u092a\u093e\u0926\u0915 \u0915\u093e \u0938\u0924\u094d\u092f\u092e\u093e\u0928 \u0939\u0948 \u0924\u0925\u093e V2, Q \u0915\u0947 \u092a\u094d\u0930\u0924\u093f\u092a\u093e\u0926\u0915 \u0915\u093e \u0938\u0924\u094d\u092f\u092e\u093e\u0928 \u0939\u0948, \u0924\u094b \u0915\u094d\u0930\u092e\u093f\u0924 \u092f\u0941\u0917\u094d\u092e (V1, V2) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"(T, T)",
"(T, F)",
"(F, T)",
"(F, F)"
],
"answer": "3",
"original_question_num": "90"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 3,
"question": "\u090f\u0915 \u0930\u0949\u0915\u0947\u091f \u0915\u094b \u092a\u0943\u0925\u094d\u0935\u0940 \u0915\u0947 \u090a\u0930\u094d\u0927\u094d\u0935\u093e\u0927\u0930 \u0926\u093f\u0936\u093e \u092e\u0947\u0902 2g \u0915\u0947 \u0915\u093e\u0930\u0923 \u0938\u0947 \u092a\u094d\u0930\u0915\u094d\u0937\u093f\u092a\u094d\u0924 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948\u0964 \u0907\u0938 \u0930\u0949\u0915\u0947\u091f \u0915\u0947 \u0905\u0902\u0926\u0930 \u0938\u094d\u0925\u093f\u0924 \u03b8 \u0915\u094b\u0923 \u092c\u0928\u093e\u0924\u0947 \u0939\u0941\u090f \u090f\u0915 \u0905\u0928\u093e\u0924\u0932-\u0924\u0932 \u092a\u0930 \u090f\u0915 m \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 \u0915\u093e \u092c\u093f\u0902\u0926\u0941 \u0915\u092a\u093f \u0930\u0916\u093e \u0939\u0948\u0964 \u092f\u0926\u093f \u0930\u0949\u0915\u0947\u091f \u0915\u0947 \u092a\u094d\u0930\u0915\u094d\u0937\u093f\u092a\u094d\u0924 \u0939\u094b\u0928\u0947 \u092a\u0930 \u092c\u093f\u0902\u0926\u0941 \u0915\u092a\u093f \u0938\u094d\u0925\u093f\u0930 \u0905\u0935\u0938\u094d\u0925\u093e \u092e\u0947\u0902 \u0939\u0940 \u0930\u0939\u0924\u093e \u0939\u0948 \u0924\u092c \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 \u090f\u0935\u0902 \u0905\u0928\u093e\u0924\u0932 \u0924\u0932 \u0915\u0947 \u092c\u0940\u091a \u0918\u0930\u094d\u0937\u0923-\u0917\u0941\u0923\u093e\u0902\u0915 \u03bcmin \u0915\u093e \u092e\u093e\u0928 \u0915\u094d\u092f\u093e \u0939\u094b\u0917\u093e ? (g \u0917\u0941\u0930\u0941\u0924\u094d\u0935\u0940\u092f \u0924\u094d\u0935\u0930\u0923 \u0939\u0948) :",
"options": [
"tan\u03b8",
"2 tan\u03b8",
"3 tan\u03b8",
"tan2\u03b8"
],
"answer": "1",
"original_question_num": "3"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 3,
"question": "\u090f\u0915 W \u092d\u093e\u0930 \u0915\u0940 \u0915\u093e\u0930 \u090f\u0915 \u0910\u0938\u0940 \u0905\u0928\u093e\u0924\u0932-\u0938\u0921\u093c\u0915 \u092a\u0930 \u091a\u0932 \u0930\u0939\u0940 \u0939\u0948 \u091c\u094b \u0915\u093f 1 km \u0926\u0942\u0930\u0940 \u092a\u0930 100 m \u090a\u0901\u091a\u0940 \u0939\u094b \u091c\u093e\u0924\u0940 \u0939\u0948, \u0914\u0930 \u0915\u093e\u0930 \u092a\u0930 W/20 \u092e\u093e\u0928 \u0915\u093e \u0928\u093f\u092f\u0924 \u0918\u0930\u094d\u0937\u0923 \u092c\u0932 \u0932\u0917\u093e\u0924\u0940 \u0939\u0948\u0964 \u092f\u0926\u093f \u0915\u093e\u0930 \u0915\u094b \u0938\u0921\u093c\u0915 \u092a\u0930 \u090a\u092a\u0930 \u0915\u0940 \u0913\u0930 10 ms\u22121 \u0915\u0940 \u0917\u0924\u093f \u0939\u0947\u0924\u0941 P \u0936\u0915\u094d\u0924\u093f \u0915\u0940 \u0906\u0935\u0936\u094d\u092f\u0915\u0924\u093e \u0939\u0948 \u090f\u0935\u0902 \u0928\u0940\u091a\u0947 \u0915\u0940 \u0913\u0930 v \u0917\u0924\u093f \u0938\u0947 \u091a\u0932\u093e\u0928\u0947 \u0939\u0947\u0924\u0941 P/2 \u0936\u0915\u094d\u0924\u093f \u0915\u0940 \u0906\u0935\u0936\u094d\u092f\u0915\u0924\u093e \u092a\u0921\u093c\u0924\u0940 \u0939\u0948, \u0924\u094b v \u0915\u093e \u092e\u093e\u0928 \u0939\u094b\u0917\u093e :",
"options": [
"20 ms\u22121",
"15 ms\u22121",
"10 ms\u22121",
"5 ms\u22121"
],
"answer": "2",
"original_question_num": "4"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 45,
"question": "\u092f\u0926\u093f \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 1, 1 + d, ..., 1 + 100d \u0915\u0947 \u092e\u093e\u0927\u094d\u092f \u0938\u0947 \u092e\u093e\u0927\u094d\u092f-\u0935\u093f\u091a\u0932\u0928 255 \u0939\u0948, \u0924\u094b d \u0915\u093e \u090f\u0915 \u092e\u093e\u0928 \u0939\u0948 :",
"options": [
"10.1",
"20.2",
"10",
"5.05"
],
"answer": "1",
"original_question_num": "86"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 45,
"question": "\u092f\u0926\u093f A \u0924\u0925\u093e B \u0926\u094b \u0910\u0938\u0940 \u0918\u091f\u0928\u093e\u090f\u0901 \u0939\u0948\u0902 \u0915\u093f P(A) = 2/5 \u0924\u0925\u093e P(A\u2229B) = 3/20 \u0939\u0948\u0902, \u0924\u094b \u092a\u094d\u0930\u0924\u093f\u0935\u0930\u094d\u0924\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e P(A|(A'\u222aB')), \u091c\u0939\u093e\u0901 A', A \u0915\u0947 \u092a\u0942\u0930\u0915 \u0938\u092e\u0941\u091a\u094d\u091a\u092f \u0915\u094b \u0928\u093f\u0930\u0942\u092a\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948, \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"1/4",
"5/17",
"8/17",
"11/20"
],
"answer": "2",
"original_question_num": "87"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 45,
"question": "x \u2208 [0, 2\u03c0] \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e, \u091c\u093f\u0928\u0915\u0947 \u0932\u093f\u090f \u221a2sin\u2074x+18cos\u00b2x - \u221a2cos\u2074x+18sin\u00b2x =1, \u0939\u0948 :",
"options": [
"2",
"4",
"6",
"8"
],
"answer": "4",
"original_question_num": "88"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 12,
"question": "\u092e\u093e\u0907\u0915\u094d\u0930\u094b\u0935\u0947\u0935 \u0913\u0935\u0928 \u0915\u093f\u0938 \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e \u092a\u0930 \u0906\u0927\u093e\u0930\u093f\u0924 \u0939\u0948 ?",
"options": [
"\u091c\u0932 \u0905\u0923\u0941\u0913\u0902 \u092e\u0947\u0902 \u0928\u093f\u092e\u094d\u0928 \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928\u094b\u0902 \u0915\u0947 \u0915\u092e \u090a\u0930\u094d\u091c\u093e \u0938\u0947 \u0905\u0927\u093f\u0915 \u090a\u0930\u094d\u091c\u093e \u0935\u093e\u0932\u0947 \u0932\u0947\u0935\u0932 \u092e\u0947\u0902 \u0938\u094d\u0925\u093e\u0928\u093e\u0902\u0924\u0930\u093f\u0924 \u0915\u0930\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e \u092a\u0930\u0964",
"\u091c\u0932 \u0905\u0923\u0941\u0913\u0902 \u0915\u094b \u0918\u0942\u0930\u094d\u0923\u0928 \u090a\u0930\u094d\u091c\u093e \u092a\u094d\u0930\u0926\u093e\u0928 \u0915\u0930\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e \u092a\u0930\u0964",
"\u091c\u0932 \u0905\u0923\u0941\u0913\u0902 \u0915\u094b \u0915\u0902\u092a\u0928 \u090a\u0930\u094d\u091c\u093e \u092a\u094d\u0930\u0926\u093e\u0928 \u0915\u0930\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e \u092a\u0930\u0964",
"\u091c\u0932 \u0905\u0923\u0941\u0913\u0902 \u0915\u094b \u0938\u094d\u0925\u093e\u0928\u093e\u0902\u0924\u0930\u0940 \u090a\u0930\u094d\u091c\u093e \u092a\u094d\u0930\u0926\u093e\u0928 \u0915\u0930\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e \u092a\u0930\u0964"
],
"answer": "2",
"original_question_num": "18"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 28,
"question": "\u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u0947\u0902 \u0938\u0947 \u0938\u0939\u0940 \u092a\u094d\u0930\u0935\u0943\u0924\u094d\u0924\u093f \u092a\u0939\u091a\u093e\u0928\u093f\u092f\u0947 : (\u092a\u0930\u092e\u093e\u0923\u0941 \u0915\u094d\u0930\u092e\u093e\u0902\u0915 = Ti : 22, Cr : 24 \u0924\u0925\u093e Mo : 42)",
"options": [
"[Cr(H\u2082O)\u2086]\u00b2\u207a \u0915\u093e \u0394o > [Mo(H\u2082O)\u2086]\u00b2\u207a \u0924\u0925\u093e [Ti(H\u2082O)\u2086]\u00b3\u207a \u0915\u093e \u0394o > [Ti(H\u2082O)\u2086]\u00b2\u207a",
"[Cr(H\u2082O)\u2086]\u00b2\u207a \u0915\u093e \u0394o > [Mo(H\u2082O)\u2086]\u00b2\u207a \u0924\u0925\u093e [Ti(H\u2082O)\u2086]\u00b3\u207a \u0915\u093e \u0394o < [Ti(H\u2082O)\u2086]\u00b2\u207a",
"[Cr(H\u2082O)\u2086]\u00b2\u207a \u0915\u093e \u0394o < [Mo(H\u2082O)\u2086]\u00b2\u207a \u0924\u0925\u093e [Ti(H\u2082O)\u2086]\u00b3\u207a \u0915\u093e \u0394o > [Ti(H\u2082O)\u2086]\u00b2\u207a",
"[Cr(H\u2082O)\u2086]\u00b2\u207a \u0915\u093e \u0394o < [Mo(H\u2082O)\u2086]\u00b2\u207a \u0924\u0925\u093e [Ti(H\u2082O)\u2086]\u00b3\u207a \u0915\u093e \u0394o < [Ti(H\u2082O)\u2086]\u00b2\u207a"
],
"answer": "3",
"original_question_num": "49"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "biology",
"category_original_lang": "\u091c\u0940\u0935\u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 28,
"question": "\u092c\u0940.\u0913.\u0921\u0940. (BOD) \u0926\u0930\u094d\u0936\u093e\u0924\u093e \u0939\u0948 :",
"options": [
"\u092c\u093e\u092f\u094b\u0932\u094b\u091c\u093f\u0915\u0932 \u0911\u0915\u094d\u0938\u0940\u091c\u0928 \u0921\u093f\u092e\u093e\u0902\u0921",
"\u092c\u0948\u0915\u094d\u091f\u0947\u0930\u093f\u092f\u0932 \u0911\u0915\u094d\u0938\u0940\u091c\u0928 \u0921\u093f\u092e\u093e\u0902\u0921",
"\u092c\u093e\u092f\u094b\u0915\u0947\u092e\u093f\u0915\u0932 \u0911\u0915\u094d\u0938\u0940\u091c\u0928 \u0921\u093f\u092e\u093e\u0902\u0921",
"\u092c\u093e\u092f\u094b\u0915\u0947\u092e\u093f\u0915\u0932 \u0911\u0915\u094d\u0938\u0940\u0915\u0930\u0923 \u0921\u093f\u092e\u093e\u0902\u0921"
],
"answer": "3",
"original_question_num": "50"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 24,
"question": "\u090f\u0915 \u0935\u093f\u0936\u0947\u0937 \u0905\u0927\u093f\u0936\u094b\u0937\u0923 \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0947 \u0935\u093f\u0936\u0947\u0937 \u0917\u0941\u0923\u0927\u0930\u094d\u092e \u0939\u0948\u0902 : (i) \u092f\u0939 \u0935\u093e\u0902\u0921\u0930 \u0935\u093e\u0932\u094d\u0938 \u092c\u0932 \u0915\u0947 \u0915\u093e\u0930\u0923 \u0939\u094b\u0924\u0940 \u0939\u0948 \u0924\u0925\u093e (ii) \u092f\u0939 \u0909\u0924\u094d\u0915\u094d\u0930\u092e\u0923\u0940\u092f \u0939\u0948\u0964 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u0947\u0902 \u0938\u0947 \u0935\u0939 \u0938\u0939\u0940 \u0915\u0925\u0928 \u092a\u0939\u091a\u093e\u0928\u093f\u092f\u0947 \u091c\u094b \u0907\u0938 \u0905\u0927\u093f\u0936\u094b\u0937\u0923 \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u093e \u0938\u0939\u0940 \u0935\u0930\u094d\u0923\u0928 \u0915\u0930\u0924\u093e \u0939\u0948 :",
"options": [
"\u0905\u0927\u093f\u0936\u094b\u0937\u0923 \u0915\u0940 \u090f\u0928\u094d\u0925\u0948\u0932\u094d\u092a\u0940 100 kJ mol^\u22121 \u0938\u0947 \u0905\u0927\u093f\u0915 \u0939\u0948\u0964",
"\u0938\u0915\u094d\u0930\u093f\u092f\u0923 \u090a\u0930\u094d\u091c\u093e \u0928\u093f\u092e\u094d\u0928 \u0939\u0948\u0964",
"\u0905\u0927\u093f\u0936\u094b\u0937\u0923 \u090f\u0915\u0932 \u0905\u0928\u0941\u0915\u094d\u0930\u092e \u092a\u0930\u0924\u0940\u092f \u0939\u0948\u0964",
"\u0924\u093e\u092a \u092c\u0922\u093c\u0928\u0947 \u092a\u0930 \u0905\u0927\u093f\u0936\u094b\u0937\u0923 \u092c\u0922\u093c\u0924\u093e \u0939\u0948\u0964"
],
"answer": "2",
"original_question_num": "40"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 24,
"question": "\u0935\u0939 \u0905\u0927\u093e\u0924\u0941 \u091c\u094b \u0927\u0928\u093e\u0924\u094d\u092e\u0915 \u0911\u0915\u094d\u0938\u0940\u0915\u0930\u0923 \u0905\u0935\u0938\u094d\u0925\u093e \u0928\u0939\u0940\u0902 \u0926\u0930\u094d\u0936\u093e\u0924\u0940, \u0939\u094b\u0917\u0940 :",
"options": [
"\u0911\u0915\u094d\u0938\u0940\u091c\u0928",
"\u0906\u092f\u094b\u0921\u0940\u0928",
"\u0915\u094d\u0932\u094b\u0930\u0940\u0928",
"\u092b\u094d\u0932\u0941\u0913\u0930\u0940\u0928"
],
"answer": "3",
"original_question_num": "41"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 32,
"question": "\u0935\u0939 \u0915\u0943\u0924\u094d\u0930\u093f\u092e \u092e\u0927\u0941\u0930\u0915 \u091c\u093f\u0938\u0915\u093e \u0936\u0941\u0926\u094d\u0927 \u0936\u0930\u094d\u0915\u0930\u093e \u0915\u0940 \u0924\u0941\u0932\u0928\u093e \u092e\u0947\u0902 \u092e\u093e\u0927\u0941\u0930\u094d\u092f\u092e\u093e\u0928 \u0938\u092c\u0938\u0947 \u0905\u0927\u093f\u0915 \u0939\u0948 :",
"options": [
"\u090f\u0938\u094d\u092a\u093e\u0930\u094d\u091f\u0947\u092e",
"\u0938\u0948\u0915\u0930\u0940\u0928",
"\u0938\u0941\u0915\u094d\u0930\u093e\u0932\u094b\u0938",
"\u0910\u0932\u093f\u091f\u0947\u092e"
],
"answer": "4",
"original_question_num": "59"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "biology",
"category_original_lang": "\u091c\u0940\u0935\u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 32,
"question": "\u0905\u0902\u0921 \u090f\u0932\u094d\u092c\u0941\u092e\u093f\u0928 \u0915\u093e \u0938\u0949\u0932\u094d\u091f \u092c\u0928\u093e\u0928\u0947 \u0915\u0940 \u0938\u092c\u0938\u0947 \u0909\u091a\u093f\u0924 \u0935\u093f\u0927\u093f \u0939\u0948 :",
"options": [
"\u0905\u0902\u0921\u0947 \u0915\u094b \u0927\u094d\u092f\u093e\u0928\u092a\u0942\u0930\u094d\u0935\u0915 \u0924\u094b\u0921\u093c\u0947\u0902 \u0914\u0930 \u0909\u0938\u0915\u0947 \u092a\u093e\u0930\u0926\u0930\u094d\u0936\u0940 \u092d\u093e\u0917 \u0915\u094b 100 mL 5% w/V \u0932\u0935\u0923 \u091c\u0932 \u092e\u0947\u0902 \u092e\u093f\u0932\u093e\u0915\u0930 \u0905\u091a\u094d\u091b\u0940 \u0924\u0930\u0939 \u0939\u093f\u0932\u093e\u092f\u0947\u0902\u0964",
"\u0905\u0902\u0921\u0947 \u0915\u094b \u0927\u094d\u092f\u093e\u0928\u092a\u0942\u0930\u094d\u0935\u0915 \u0924\u094b\u0921\u093c\u0947\u0902 \u0914\u0930 \u0909\u0938\u0915\u0947 \u092a\u0940\u0932\u0947 \u092d\u093e\u0917 \u0915\u094b 100 mL 5% w/V \u0932\u0935\u0923 \u091c\u0932 \u092e\u0947\u0902 \u092e\u093f\u0932\u093e\u0915\u0930 \u0905\u091a\u094d\u091b\u0940 \u0924\u0930\u0939 \u0939\u093f\u0932\u093e\u092f\u0947\u0902\u0964",
"\u0905\u0902\u0921\u0947 \u0915\u094b \u0909\u092c\u0932\u0924\u0947 \u091c\u0932 \u092e\u0947\u0902 10 \u092e\u093f\u0928\u091f \u0924\u0915 \u0930\u0916\u0947\u0902\u0964 \u0909\u0938\u0915\u093e \u091b\u093f\u0932\u0915\u093e \u0909\u0924\u093e\u0930\u0947\u0902 \u0915\u0947 \u092a\u0936\u094d\u091a\u093e\u0924 \u0909\u0938\u0915\u0947 \u0938\u092b\u0947\u0926 \u092d\u093e\u0917 \u0915\u094b 100 mL 5% w/V \u0932\u0935\u0923 \u091c\u0932 \u092e\u0947\u0902 \u092e\u093f\u0932\u093e\u092f\u0947\u0902 \u0914\u0930 \u092f\u093e\u0902\u0924\u094d\u0930\u093f\u0915 \u0939\u093f\u0932\u0930 \u0938\u0947 \u0938\u092e\u093e\u0902\u0917\u0940\u0915\u0943\u0924 \u0915\u0930\u0947\u0902\u0964",
"\u0905\u0902\u0921\u0947 \u0915\u094b \u0909\u092c\u0932\u0924\u0947 \u091c\u0932 \u092e\u0947\u0902 10 \u092e\u093f\u0928\u091f \u0924\u0915 \u0930\u0916\u0947\u0902\u0964 \u0909\u0938\u0915\u093e \u091b\u093f\u0932\u0915\u093e \u0909\u0924\u093e\u0930\u0947\u0902 \u0915\u0947 \u092a\u0936\u094d\u091a\u093e\u0924 \u0909\u0938\u0915\u0947 \u092a\u0940\u0932\u0947 \u092d\u093e\u0917 \u0915\u094b 100 mL 5% w/V \u0932\u0935\u0923 \u091c\u0932 \u092e\u0947\u0902 \u092e\u093f\u0932\u093e\u092f\u0947\u0902 \u0914\u0930 \u092f\u093e\u0902\u0924\u094d\u0930\u093f\u0915 \u0939\u093f\u0932\u0930 \u0938\u0947 \u0938\u092e\u093e\u0902\u0917\u0940\u0915\u0943\u0924 \u0915\u0930\u0947\u0902\u0964"
],
"answer": "1",
"original_question_num": "60"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 33,
"question": "\ud835\udc65 \u2208 \u211d, \ud835\udc65 \u2260 0, \ud835\udc65 \u2260 1 \u0915\u0947 \u0932\u093f\u090f \u092e\u093e\u0928\u093e \ud835\udc53\u2080(\ud835\udc65) = 1/(1 \u2212 \ud835\udc65) \u0924\u0925\u093e \ud835\udc53\u2099\u208a\u2081(\ud835\udc65) = \ud835\udc53\u2080(\ud835\udc53\u2099(\ud835\udc65)), \ud835\udc5b = 0, 1, 2, . . . \u0939\u0948, \u0924\u094b \ud835\udc53\u2081\u2080\u2080(3) + \ud835\udc53\u2081(2/3) + \ud835\udc53\u2082(3/2) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"8/3",
"5/3",
"4/3",
"1/3"
],
"answer": "2",
"original_question_num": "61"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 33,
"question": "\u0906\u0930\u094d\u0917and \u0938\u092e\u0924\u0932 \u092e\u0947\u0902 2 + \ud835\udc56 \u0926\u094d\u0935\u093e\u0930\u093e \u0928\u093f\u0930\u0942\u092a\u093f\u0924 \u092c\u093f\u0902\u0926\u0941, 1 \u0907\u0915\u093e\u0908 \u092a\u0942\u0930\u094d\u0935 \u0926\u093f\u0936\u093e \u092e\u0947\u0902 \u091a\u0932\u0924\u093e \u0939\u0948 \u0914\u0930 \u092b\u093f\u0930 2 \u0907\u0915\u093e\u0908 \u0909\u0924\u094d\u0924\u0930 \u0926\u093f\u0936\u093e \u092e\u0947\u0902 \u091a\u0932\u0924\u093e \u0939\u0948 \u0924\u0925\u093e \u0905\u0902\u0924 \u092e\u0947\u0902 2\u221a2 \u0907\u0915\u093e\u0908 \u0926\u0915\u094d\u0937\u093f\u0923-\u092a\u0936\u094d\u091a\u093f\u092e \u0926\u093f\u0936\u093e \u092e\u0947\u0902 \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0924\u094b \u0906\u0930\u094d\u0917and \u0938\u092e\u0924\u0932 \u092e\u0947\u0902 \u0907\u0938\u0915\u093e \u0928\u092f\u093e \u0938\u094d\u0925\u093e\u0928 \u091c\u093f\u0938 \u092c\u093f\u0902\u0926\u0941 \u0926\u094d\u0935\u093e\u0930\u093e \u0928\u093f\u0930\u0942\u092a\u093f\u0924 \u0939\u094b\u0924\u093e \u0939\u0948, \u0935\u0939 \u0939\u0948 :",
"options": [
"2 + 2\ud835\udc56",
"1 + \ud835\udc56",
"\u22121 \u2212 \ud835\udc56",
"\u22122 \u2212 2\ud835\udc56"
],
"answer": "2",
"original_question_num": "62"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 1,
"question": "\u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u0947\u0902 'I' \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0927\u093e\u0930\u093e \u0915\u094b \u090f\u0935\u0902 \u0905\u0928\u094d\u092f \u091a\u093f\u0928\u094d\u0939 \u0905\u092a\u0928\u0947 \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0905\u0930\u094d\u0925 \u0915\u094b \u0907\u0902\u0917\u093f\u0924 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928-\u0938\u093e \u0935\u093f\u0915\u0932\u094d\u092a \u0935\u0948\u0926\u094d\u092f\u0941\u0924 \u091a\u093e\u0932\u0915\u0924\u093e \u0915\u0940 \u0938\u0939\u0940 \u0935\u093f\u092e\u093e \u0915\u094b \u092c\u0924\u093e\u0924\u093e \u0939\u0948 ?",
"options": [
"ML\u207b\u00b3T\u207b\u00b3I\u00b2",
"M\u207b\u00b9L\u00b3T\u00b3I",
"M\u207b\u00b9L\u207b\u00b3T\u00b3I\u00b2",
"M\u207b\u00b9L\u207b\u00b3T\u00b3I"
],
"answer": "3",
"original_question_num": "1"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 29,
"question": "\u090f\u0915 \u0915\u093e\u0930\u094d\u092c\u0928\u093f\u0915 \u092f\u094c\u0917\u093f\u0915 \u092e\u0947\u0902 C, H \u0924\u0925\u093e S \u0935\u093f\u0926\u094d\u092f\u092e\u093e\u0928 \u0939\u0948\u0902\u0964 \u092f\u0926\u093f \u0907\u0938 \u092f\u094c\u0917\u093f\u0915 \u092e\u0947\u0902 8% \u0938\u0932\u094d\u092b\u0930 \u0939\u094b \u0924\u094b \u0907\u0938\u0915\u093e \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0905\u0923\u0941 \u092d\u093e\u0930 \u0939\u094b\u0917\u093e :",
"options": [
"200 g mol\u207b\u00b9",
"400 g mol\u207b\u00b9",
"600 g mol\u207b\u00b9",
"300 g mol\u207b\u00b9"
],
"answer": "2",
"original_question_num": "51"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 29,
"question": "\u0938\u093e\u0924 \u0915\u093e\u0930\u094d\u092c\u0928 \u092a\u0930\u092e\u093e\u0923\u0941\u0913\u0902 \u0935\u093e\u0932\u093e \u090f\u0915 \u0939\u093e\u0907\u0921\u094d\u0930\u094b\u0915\u093e\u0930\u094d\u092c\u0928 \u0915\u094c\u0928 \u0939\u094b\u0917\u093e \u091c\u093f\u0938\u092e\u0947\u0902 \u090f\u0915 \u0928\u093f\u092f\u094b\u092a\u0947\u0928\u094d\u091f\u093e\u0907\u0932 \u0938\u092e\u0942\u0939 \u0924\u0925\u093e \u090f\u0915 \u0935\u093f\u0928\u093e\u0907\u0932 \u0938\u092e\u0942\u0939 \u0939\u094b :",
"options": [
"2, 2-\u0921\u093e\u0908\u092e\u0947\u0925\u093e\u0907\u0932-4-\u092a\u0947\u0928\u094d\u091f\u0940\u0928",
"\u0906\u0907\u0938\u094b\u092a\u094d\u0930\u094b\u092a\u093e\u0907\u0932-2-\u092c\u094d\u092f\u0942\u091f\u0940\u0928",
"4, 4-\u0921\u093e\u0908\u092e\u0947\u0925\u093e\u0907\u0932\u092a\u0947\u0928\u094d\u091f\u0940\u0928",
"2, 2-\u0921\u093e\u0908\u092e\u0947\u0925\u093e\u0907\u0932-3-\u092a\u0947\u0928\u094d\u091f\u0940\u0928"
],
"answer": "3",
"original_question_num": "52"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 29,
"question": "\u090f\u0915 \u0910\u0932\u094d\u0915\u0947\u0928 \u0915\u0940 5 L \u092e\u093e\u0924\u094d\u0930\u093e \u0915\u0947 \u092a\u0942\u0930\u094d\u0923 \u0926\u0939\u0928 \u0915\u0947 \u0932\u093f\u092f\u0947 25 L \u0911\u0915\u094d\u0938\u0940\u091c\u0928 \u0915\u0940 \u0906\u0935\u0936\u094d\u092f\u0915\u0924\u093e \u0939\u094b\u0924\u0940 \u0939\u0948\u0964 \u092f\u0926\u093f \u0938\u092d\u0940 \u0906\u092f\u0924\u0928 \u092e\u093e\u0928\u0915 \u0924\u093e\u092a \u0924\u0925\u093e \u0926\u093e\u092c \u092a\u0930 \u092e\u093e\u092a\u0947 \u0917\u092f\u0947 \u0939\u094b\u0902, \u0924\u094b \u0910\u0932\u094d\u0915\u0947\u0928 \u0939\u094b\u0917\u0940 :",
"options": [
"\u090f\u0925\u0947\u0928",
"\u092a\u094d\u0930\u094b\u092a\u0947\u0928",
"\u092c\u094d\u092f\u0942\u091f\u0947\u0928",
"\u0906\u0907\u0938\u094b\u092c\u094d\u092f\u0942\u091f\u0947\u0928"
],
"answer": "2",
"original_question_num": "53"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 44,
"question": "\u092c\u093f\u0902\u0926\u0941 (1, -2, 4) \u0915\u0940 \u0909\u0938 \u0938\u092e\u0924\u0932 \u0938\u0947 \u0926\u0942\u0930\u0940, \u091c\u094b \u092c\u093f\u0902\u0926\u0941 (1, 2, 2) \u0938\u0947 \u0939\u094b \u0915\u0930 \u091c\u093e\u0924\u093e \u0939\u0948 \u0924\u0925\u093e \u0938\u092e\u0924\u0932\u094b\u0902 x - y + 2z = 3 \u0924\u0925\u093e 2x - 2y + z + 12 = 0 \u0915\u0947 \u0932\u0902\u092c\u0935\u0924 \u0939\u0948, \u0939\u0948 :",
"options": [
"2\u221a2",
"2",
"\u221a2",
"1/\u221a2"
],
"answer": "1",
"original_question_num": "84"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 44,
"question": "\u090f\u0915 \u0924\u094d\u0930\u093f\u092d\u0941\u091c ABC, \u091c\u094b \u0915\u093f \u0936\u0940\u0930\u094d\u0937 A \u092a\u0930 \u0938\u092e\u0915\u094b\u0923 \u0939\u0948, \u092e\u0947\u0902 A, B \u0924\u0925\u093e C \u0915\u0947 \u0938\u094d\u0925\u093f\u0924\u093f \u0938\u0926\u093f\u0936 \u0915\u094d\u0930\u092e\u0936\u0903 3i + j - k, -i + 3j + pk \u0924\u0925\u093e 5i + qj - 4k \u0939\u0948\u0902, \u0924\u094b \u092c\u093f\u0902\u0926\u0941 (p, q) \u091c\u093f\u0938 \u0930\u0947\u0916\u093e \u092a\u0930 \u0938\u094d\u0925\u093f\u0924 \u0939\u0948, \u0935\u0939 :",
"options": [
"x-\u0905\u0915\u094d\u0937 \u0915\u0947 \u0938\u092e\u093e\u0902\u0924\u0930 \u0939\u0948\u0964",
"y-\u0905\u0915\u094d\u0937 \u0915\u0947 \u0938\u092e\u093e\u0902\u0924\u0930 \u0939\u0948\u0964",
"x-\u0905\u0915\u094d\u0937 \u0915\u0940 \u0927\u0928\u093e\u0924\u094d\u092e\u0915 \u0926\u093f\u0936\u093e \u0938\u0947 \u0928\u094d\u092f\u0942\u0928 \u0915\u094b\u0923 \u092c\u0928\u093e\u0924\u0940 \u0939\u0948\u0964",
"x-\u0905\u0915\u094d\u0937 \u0915\u0940 \u0927\u0928\u093e\u0924\u094d\u092e\u0915 \u0926\u093f\u0936\u093e \u0938\u0947 \u0905\u0927\u093f\u0915 \u0915\u094b\u0923 \u092c\u0928\u093e\u0924\u0940 \u0939\u0948\u0964"
],
"answer": "3",
"original_question_num": "85"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 18,
"question": "\u0905\u0935\u093f\u0915\u0938\u093f\u0924 L \u0932\u092e\u094d\u092c\u093e\u0908 \u0915\u0940 \u090f\u0915\u0938\u092e\u093e\u0928 \u0936\u0902\u0915\u0941\u0917\u0941\u0923\u093e \u0924\u093e\u0930 \u0915\u0947 \u0938\u093f\u0930\u094b\u0902 \u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e \u0915\u094d\u0930\u092e\u0936\u0903 R \u0924\u0925\u093e 3R \u0939\u0948\u0902\u0964 \u0909\u0938\u0915\u0940 \u0927\u093e\u0924\u0941 \u0915\u093e \u092f\u0902\u0917-\u092e\u0949\u0921\u094d\u092f\u0942\u0932\u0938 Y \u0939\u0948\u0964 \u0930\u093f\u0916\u093e \u0935\u093e\u0932\u0947 \u0938\u093f\u0930\u0947 \u0915\u094b \u090f\u0915 \u0926\u0943\u0922\u093c \u0906\u0927\u093e\u0930 \u092a\u0930 \u091c\u0921\u093c\u093f\u0924 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948 \u0924\u0925\u093e \u0926\u0942\u0938\u0930\u0947 \u0938\u093f\u0930\u0947 \u092a\u0930 M \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 \u0932\u091f\u0915\u093e\u092f\u093e \u0917\u092f\u093e \u0939\u0948\u0964 \u0938\u0902\u0924\u0941\u0932\u0928-\u0905\u0935\u0938\u094d\u0925\u093e \u092e\u0947\u0902 \u0924\u093e\u0930 \u0915\u0940 \u0932\u092e\u094d\u092c\u093e\u0908 \u0939\u094b\u0917\u0940 :",
"options": [
"\\( L \\left( 1 + \\frac{2}{9} \\frac{Mg}{\\pi YR^2} \\right) \\)",
"\\( L \\left( 1 + \\frac{1}{3} \\frac{Mg}{\\pi YR^2} \\right) \\)",
"\\( L \\left( 1 + \\frac{1}{9} \\frac{Mg}{\\pi YR^2} \\right) \\)",
"\\( L \\left( 1 + \\frac{2}{3} \\frac{Mg}{\\pi YR^2} \\right) \\)"
],
"answer": "2",
"original_question_num": "26"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 18,
"question": "\u090f\u0915 \u0917\u0948\u0932\u094d\u0935\u0947\u0928\u094b\u092e\u0940\u091f\u0930 \u0915\u093e \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927 G \u092e\u093e\u092a\u0928\u0947 \u0915\u0947 \u0932\u093f\u092f\u0947 \u0905\u0930\u094d\u0927-\u0935\u093f\u0915\u094d\u0937\u0947\u092a \u0924\u0930\u0940\u0915\u0947 \u0915\u093e \u0907\u0938\u094d\u0924\u0947\u092e\u093e\u0932 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u091c\u093f\u0938\u092e\u0947\u0902 \u092c\u0948\u091f\u0930\u0940 \u0915\u0940 emf \\( V_E \\) \u0939\u0948\u0964 \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927 R \u0915\u0947 \u0932\u093f\u092f\u0947 \u03b8 \u0935\u093f\u0915\u094d\u0937\u0947\u092a \u092e\u093f\u0932\u093e\u0964 \u0936\u0902\u091f-\u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927 S \u0915\u0947 \u0932\u093f\u092f\u0947 \u0906\u0927\u093e \u0935\u093f\u0915\u094d\u0937\u0947\u092a \u092e\u093f\u0932\u093e\u0964 \u0924\u092c G, R \u0924\u0925\u093e S \u0915\u093f\u0938 \u0938\u092e\u0940\u0915\u0930\u0923 \u0938\u0947 \u0938\u0902\u092c\u0902\u0927\u093f\u0924 \u0939\u0948\u0902 ?",
"options": [
"\\( 2S (R + G) = RG \\)",
"\\( S (R + G) = RG \\)",
"\\( 2S = G \\)",
"\\( 2G = S \\)"
],
"answer": "2",
"original_question_num": "27"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 22,
"question": "\u090f\u0915 \u0930\u093e\u0938\u093e\u092f\u0928\u093f\u0915 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0928\u093f\u092e\u094d\u0928 \u0924\u093e\u092a \u092a\u0930 \u0905\u0938pontaneous \u0939\u0948 \u0915\u093f\u0928\u094d\u0924\u0941 \u0909\u091a\u094d\u091a \u0924\u093e\u092a \u092a\u0930 \u0938\u094d\u0935\u0924\u0903 \u092a\u094d\u0930\u0935\u0930\u094d\u0924\u093f\u0924 \u0939\u094b \u091c\u093e\u0924\u0940 \u0939\u0948\u0964 \u0907\u0938 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0947 \u092c\u093e\u0930\u0947 \u092e\u0947\u0902 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0915\u0925\u0928\u094b\u0902 \u092e\u0947\u0902 \u0938\u0947 \u0938\u0939\u0940 \u0915\u0925\u0928 \u0915\u094b \u092a\u0939\u091a\u093e\u0928\u093f\u092f\u0947:",
"options": [
"\u0394H \u0924\u0925\u093e \u0394S, \u0926\u094b\u0928\u094b\u0902 \u090b\u0923\u093e\u0924\u094d\u092e\u0915 \u0939\u0948\u0902\u0964",
"\u0394H \u0924\u0925\u093e \u0394S, \u0926\u094b\u0928\u094b\u0902 \u0927\u0928\u093e\u0924\u094d\u092e\u0915 \u0939\u0948\u0902\u0964",
"\u0394H \u0927\u0928\u093e\u0924\u094d\u092e\u0915 \u0924\u0925\u093e \u0394S \u090b\u0923\u093e\u0924\u094d\u092e\u0915 \u0939\u0948\u0964",
"\u0394H \u090b\u0923\u093e\u0924\u094d\u092e\u0915 \u0924\u0925\u093e \u0394S \u0927\u0928\u093e\u0924\u094d\u092e\u0915 \u0939\u0948\u0964"
],
"answer": "2",
"original_question_num": "35"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 22,
"question": "N2 \u0915\u0940 \u091c\u0932 \u092e\u0947\u0902 \u0935\u093f\u0932\u0947\u092f\u0924\u093e 300 K \u0924\u0925\u093e 500 torr \u0906\u0902\u0936\u093f\u0915 \u0926\u093e\u092c \u092a\u0930 0.01 g L\u22121 \u0939\u0948\u0964 \u0907\u0938\u0915\u0940 \u0935\u093f\u0932\u0947\u092f\u0924\u093e (g L\u22121 \u092e\u0947\u0902) 750 torr \u0906\u0902\u0936\u093f\u0915 \u0926\u093e\u092c \u092a\u0930 \u0939\u094b\u0917\u0940 :",
"options": [
"0.0075",
"0.015",
"0.02",
"0.005"
],
"answer": "2",
"original_question_num": "36"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 22,
"question": "\u0930\u093e\u0938\u093e\u092f\u0928\u093f\u0915 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e A(g) + B(g) \u2192 C(g) + D(g), \u0915\u0947 \u0932\u093f\u090f 298 K \u092a\u0930 \u0394H\u00b0 \u0924\u0925\u093e \u0394S\u00b0 \u0915\u0947 \u092e\u093e\u0928 \u0915\u094d\u0930\u092e\u0936\u0903 \u2212 29.8 kJ mol\u22121 and \u2212 0.100 kJ K\u22121 mol\u22121 \u0939\u0948\u0902\u0964 \u0907\u0938 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u093e 298 K \u092a\u0930 \u0938\u093e\u092e\u094d\u092f \u0938\u094d\u0925\u093f\u0930\u093e\u0902\u0915 \u0939\u0948 :",
"options": [
"1.0 \u00d7 10\u221210",
"1.0 \u00d7 1010",
"10",
"1"
],
"answer": "4",
"original_question_num": "37"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 34,
"question": "\u092f\u0926\u093f \u0938\u092e\u0940\u0915\u0930\u0923\u094b\u0902 x\u00b2 + bx - 1 = 0 \u0924\u0925\u093e x\u00b2 + x + b = 0 \u0915\u093e -1 \u0938\u0947 \u092d\u093f\u0928\u094d\u0928 \u090f\u0915 \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u092e\u0942\u0932 \u0939\u0948, \u0924\u094b |b| \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"\u221a2",
"2",
"3",
"\u221a3"
],
"answer": "4",
"original_question_num": "63"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 34,
"question": "\u092f\u0926\u093f P = \\(\\begin{bmatrix} \\frac{\\sqrt{3}}{2} & \\frac{1}{2} \\\\ -\\frac{1}{2} & \\frac{\\sqrt{3}}{2} \\end{bmatrix}\\), A = \\(\\begin{bmatrix} 1 & 1 \\\\ 0 & 1 \\end{bmatrix}\\) \u0924\u0925\u093e Q = PAP\u1d40 \u0939\u0948, \u0924\u094b P\u1d40 Q2015 P \u0939\u0948 :",
"options": [
"\\(\\begin{bmatrix} 0 & 2015 \\\\ 0 & 0 \\end{bmatrix}\\)",
"\\(\\begin{bmatrix} 2015 & 1 \\\\ 0 & 2015 \\end{bmatrix}\\)",
"\\(\\begin{bmatrix} 2015 & 0 \\\\ 1 & 2015 \\end{bmatrix}\\)",
"\\(\\begin{bmatrix} 1 & 2015 \\\\ 0 & 1 \\end{bmatrix}\\)"
],
"answer": "4",
"original_question_num": "64"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 43,
"question": "\u092f\u0926\u093f \u0926\u0940\u0930\u094d\u0918\u0935\u0943\u0924\u094d\u0924 \\(\\frac{x^2}{27} + \\frac{y^2}{3} = 1\\) \u0915\u0947 \u090f\u0915 \u092c\u093f\u0902\u0926\u0941 \u092a\u0930 \u0916\u0940\u0902\u091a\u0940 \u0917\u0908 \u0938\u094d\u092a\u0930\u094d\u0936 \u0930\u0947\u0916\u093e, \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 \u0905\u0915\u094d\u0937\u094b\u0902 \u0915\u094b A \u0924\u0925\u093e B \u092a\u0930 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u0939\u0948 \u0924\u0925\u093e O \u092e\u0942\u0932 \u092c\u093f\u0902\u0926\u0941 \u0939\u0948, \u0924\u094b \u0924\u094d\u0930\u093f\u092d\u0941\u091c OAB \u0915\u093e \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 (\u0935\u0930\u094d\u0917 \u0907\u0915\u093e\u0908 \u092e\u0947\u0902) \u0939\u0948 :",
"options": [
"\\(\\frac{9}{2}\\)",
"\\(3\\sqrt{3}\\)",
"\\(9\\sqrt{3}\\)",
"9"
],
"answer": "4",
"original_question_num": "82"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 43,
"question": "\u0930\u0947\u0916\u093e\u0913\u0902 \\(\\frac{x}{2} = \\frac{y}{2} = \\frac{z}{1}\\) \u0924\u0925\u093e \\(\\frac{x + 2}{-1} = \\frac{y - 4}{8} = \\frac{z - 5}{4}\\) \u0915\u0947 \u092c\u0940\u091a \u0915\u0940 \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0926\u0942\u0930\u0940, \u091c\u093f\u0938 \u0905\u0902\u0924\u0930\u093e\u0932 \u092e\u0947\u0902 \u0939\u0948, \u0935\u0939 \u0939\u0948 :",
"options": [
"[0, 1]",
"[1, 2]",
"[2, 3]",
"[3, 4]"
],
"answer": "3",
"original_question_num": "83"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 14,
"question": "\u092f\u0902\u0917 \u0915\u0947 \u0926\u094d\u0935\u093f-\u091b\u093f\u0926\u094d\u0930 \u092a\u094d\u0930\u092f\u094b\u0917 \u092e\u0947\u0902, \u091c\u093f\u0938\u092e\u0947\u0902 \u092a\u0930\u094d\u0926\u0947 \u090f\u0935\u0902 \u091b\u093f\u0926\u094d\u0930 \u0915\u0947 \u092c\u0940\u091a \u0915\u0940 \u0926\u0942\u0930\u0940 1.0 m \u0924\u0925\u093e 600 nm \u0924\u0930\u0902\u0917\u0926\u0948\u0930\u094d\u0927\u094d\u092f \u0915\u0947 \u090f\u0915\u0930\u0902\u0917\u0940 \u092a\u094d\u0930\u0915\u093e\u0936 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948\u0964 \u091b\u093f\u0926\u094d\u0930\u094b\u0902 \u0915\u0947 \u0938\u092e\u0940\u092a \u0916\u0921\u093c\u093e \u0939\u0941\u0906 \u090f\u0915 \u0935\u094d\u092f\u0915\u094d\u0924\u093f \u0935\u093f\u0935\u0930\u094d\u0924\u0928 \u092a\u0948\u091f\u0930\u094d\u0928 \u0915\u094b \u0926\u0947\u0916 \u0930\u0939\u093e \u0939\u0948\u0964 \u0926\u094b\u0928\u094b\u0902 \u091b\u093f\u0926\u094d\u0930\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0915\u0940 \u0926\u0942\u0930\u0940 \u0915\u094b \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u093f\u0924 \u0915\u0930\u0928\u0947 \u092a\u0930 \u090f\u0915 \u0935\u093f\u0936\u093f\u0937\u094d\u091f \u0926\u0942\u0930\u0940 d0 \u092a\u0930 \u0935\u093f\u0935\u0930\u094d\u0924\u0928 \u092a\u0948\u091f\u0930\u094d\u0928 \u0924\u0941\u0930\u0902\u0924 \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u092f\u0926\u093f \u0935\u094d\u092f\u0915\u094d\u0924\u093f \u0915\u0940 \u0906\u0901\u0916 \u0915\u093e \u0915\u094b\u0923\u0940\u092f \u0935\u093f\u092d\u0947\u0926\u0928 1/60 \u0939\u094b, \u0924\u094b d0 \u0915\u093e \u092e\u093e\u0928 \u0932\u0917\u092d\u0917 \u0939\u094b\u0917\u093e :",
"options": [
"1 mm",
"2 mm",
"4 mm",
"3 mm"
],
"answer": "2",
"original_question_num": "20"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 6,
"question": "\u092a\u093e\u0928\u0940 \u0915\u0947 \u0935\u093f\u0938\u094d\u0924\u093e\u0930 \u0915\u094b \u0928\u0917\u0923\u094d\u092f \u092e\u093e\u0928\u0924\u0947 \u0939\u0941\u090f, 200 g \u092a\u093e\u0928\u0940 \u0915\u094b 40\u00b0C \u0938\u0947 60\u00b0C \u0924\u0915 \u0917\u0930\u092e \u0915\u0930\u0928\u0947 \u092a\u0930 \u0909\u0938\u0915\u0940 \u0906\u0902\u0924\u0930\u093f\u0915 \u090a\u0930\u094d\u091c\u093e \u092e\u0947\u0902 \u0905\u0928\u0941\u092e\u093e\u0928\u093f\u0924 \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u0939\u094b\u0917\u093e (\u092a\u093e\u0928\u0940 \u0915\u093e \u0935\u093f\u0936\u093f\u0937\u094d\u091f \u0924\u093e\u092a = 4184 J/kg/K) :",
"options": [
"8.4 kJ",
"4.2 kJ",
"16.7 kJ",
"167.4 kJ"
],
"answer": "3",
"original_question_num": "8"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 6,
"question": "\u0915\u093f\u0938\u0940 \u0938\u092e\u093e\u092d\u093f\u0915 \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e \u092e\u0947\u0902 \u090f\u0915 \u0906\u0926\u0930\u094d\u0936 \u090f\u0915\u092a\u0930\u092e\u093e\u0923\u0941\u0915 \u0917\u0948\u0938 \u0915\u0947 \u0926\u094d\u0935\u093e\u0930\u093e \u0915\u093f\u092f\u0947 \u0917\u090f \u0915\u093e\u0930\u094d\u092f \u0924\u0925\u093e \u0909\u0938\u0947 \u0926\u0940 \u0917\u0908 \u090a\u0937\u094d\u092e\u093e \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 \u0939\u094b\u0917\u093e :",
"options": [
"\\(\\frac{3}{5}\\)",
"\\(\\frac{2}{3}\\)",
"\\(\\frac{3}{2}\\)",
"\\(\\frac{2}{5}\\)"
],
"answer": "4",
"original_question_num": "9"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 38,
"question": "\u092f\u0926\u093f \u092b\u0932\u0928\n\\( f(x) = \\begin{cases} \n-x, & x < 1 \\\\\na + \\cos^{-1}(x + b), & 1 \\leq x \\leq 2 \n\\end{cases} \\)\n\\( x = 1 \\) \u092a\u0930 \u0905\u0935\u0915\u0932\u0928\u0940\u092f \u0939\u0948, \u0924\u094b \\( \\frac{a}{b} \\) \u0915\u093e \u092e\u093e\u0928 \u0939\u0948 :",
"options": [
"\\( \\frac{\\pi - 2}{2} \\) ",
"\\( \\frac{-\\pi - 2}{2} \\) ",
"\\( \\frac{\\pi + 2}{2} \\) ",
"\\( -1 - \\cos^{-1}(2) \\)"
],
"answer": "3",
"original_question_num": "71"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 38,
"question": "\u092f\u0926\u093f \u0935\u0915\u094d\u0930 \\( x = 4t^2 + 3, y = 8t^3 - 1, t \\in R \\) \u0915\u0947 \u092c\u093f\u0902\u0926\u0941 P, 1 \u092e\u093e\u0928\u0915 \u0915\u0947 \u0938\u093e\u0925, \u092a\u0930 \u0938\u094d\u092a\u0930\u094d\u0936 \u0930\u0947\u0916\u093e, \u0935\u0915\u094d\u0930 \u0915\u094b \u0926\u0941\u092c\u093e\u0930\u093e \u092c\u093f\u0902\u0926\u0941 Q \u092a\u0930 \u092e\u093f\u0932\u0924\u0940 \u0939\u0948, \u0924\u094b Q \u0915\u0947 \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 \u0939\u0948\u0902 :",
"options": [
"\\( (t^2 + 3, -t^3 - 1) \\) ",
"\\( (4t^2 + 3, -8t^3 - 1) \\) ",
"\\( (t^2 + 3, t^3 - 1) \\) ",
"\\( (16t^2 + 3, -64t^3 - 1) \\)"
],
"answer": "1",
"original_question_num": "72"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 39,
"question": "\u0935\u0915\u094d\u0930 y = x\u00b2 - 4 \u0915\u0947 \u090f\u0915 \u092c\u093f\u0902\u0926\u0941 \u0938\u0947 \u092e\u0942\u0932 \u092c\u093f\u0902\u0926\u0941 \u0915\u0940 \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0926\u0942\u0930\u0940 \u0939\u0948 :",
"options": [
"\u221a19 / 2",
"\u221a15 / 2",
"\u221a15 / 2",
"\u221a19 / 2"
],
"answer": "3",
"original_question_num": "73"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 39,
"question": "\u092f\u0926\u093f \u222b (dx / cos\u00b3x \u221a2 sin2x) = (tanx)\u1d2c + C(tanx)\u1d2e + k \u0939\u0948, \u091c\u0939\u093e\u0901 k \u0938\u092e\u093e\u0915\u0932\u0928 \u0938\u094d\u0925\u093f\u0930 \u0939\u0948, \u0924\u094b A + B + C \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"21 / 5",
"16 / 5",
"7 / 10",
"27 / 10"
],
"answer": "2",
"original_question_num": "74"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 7,
"question": "\u0926\u094b \u0915\u0923 \u090f\u0915 \u0938\u0930\u0932 \u0930\u0947\u0916\u0940\u092f \u092a\u0925 \u092a\u0930 \u0938\u094d\u0925\u093f\u0924 \u090f\u0915 \u0939\u0940 \u092e\u093e\u0927\u094d\u092f \u092c\u093f\u0902\u0926\u0941 \u0915\u0947 \u0906\u0938\u092a\u093e\u0938 \u0907\u0938 \u0924\u0930\u0939 \u0938\u0947 \u0938\u0930\u0932 \u0906\u0935\u0930\u094d\u0924 \u0917\u0924\u093f \u092e\u093e\u0928 \u0905\u0935\u0938\u094d\u0925\u093e \u092e\u0947\u0902 \u0939\u0948\u0902 \u0915\u093f \u0909\u0928\u0915\u0947 \u0906\u092f\u093e\u092e (A) \u0924\u0925\u093e \u0906\u0935\u0930\u094d\u0924-\u0915\u093e\u0932 (T) \u090f\u0915 \u0938\u092e\u093e\u0928 \u0939\u0948\u0902\u0964 \u092f\u0926\u093f t = 0 \u0938\u092e\u092f \u092a\u0930 \u090f\u0915-\u0926\u0942\u0938\u0930\u0947 \u0915\u0940 \u0924\u0930\u092b \u0906\u0924\u0947 \u0939\u0941\u090f, \u090f\u0915 \u0915\u0923 \u0915\u093e \u0935\u093f\u0938\u094d\u0925\u093e\u092a\u0928 A \u0939\u0948 \u0924\u0925\u093e \u0926\u0942\u0938\u0930\u0947 \u0915\u0923 \u0915\u093e \u0935\u093f\u0938\u094d\u0925\u093e\u092a\u0928 -A/2 \u0939\u094b, \u0924\u094b t \u0938\u092e\u092f \u092a\u0930 \u0935\u0947 \u090f\u0915 \u0926\u0942\u0938\u0930\u0947 \u0915\u094b \u092a\u093e\u0930 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964 t \u0915\u093e \u092e\u093e\u0928 \u0939\u094b\u0917\u093e :",
"options": [
"T/6",
"5T/6",
"T/3",
"T/4"
],
"answer": "1",
"original_question_num": "10"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 7,
"question": "\u0926\u094b \u0930\u0947\u0932-\u0907\u0902\u091c\u0928 \u090f\u0915-\u0926\u0942\u0938\u0930\u0947 \u0915\u094b \u092a\u093e\u0930 \u0915\u0930\u0924\u0947 \u0939\u0941\u090f \u0935\u093f\u092a\u0930\u0940\u0924 \u0926\u093f\u0936\u093e \u092e\u0947\u0902 30 m/s \u0915\u0940 \u090f\u0915 \u0938\u092e\u093e\u0928 \u0917\u0924\u093f \u0938\u0947 \u091a\u0932 \u0930\u0939\u0947 \u0939\u0948\u0902\u0964 \u0909\u0928\u092e\u0947\u0902 \u0938\u0947 \u090f\u0915 \u0907\u0902\u091c\u0928 \u092f\u0926\u093f 540 Hz \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u0938\u0947 \u0938\u0940\u091f\u0940 \u092c\u091c\u093e \u0930\u0939\u093e \u0939\u0948, \u0924\u094b \u0926\u0942\u0938\u0930\u0947 \u0907\u0902\u091c\u0928 \u0915\u0947 \u0921\u094d\u0930\u093e\u0907\u0935\u0930 \u0926\u094d\u0935\u093e\u0930\u093e \u0938\u0941\u0928\u0940 \u0917\u0908 \u0927\u094d\u0935\u0928\u093f \u0915\u0940 \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u0939\u094b\u0917\u0940 (\u0927\u094d\u0935\u0928\u093f \u0915\u0940 \u0917\u0924\u093f \u0915\u093e \u092e\u093e\u0928 330 m/sec \u0932\u0947\u0902) :",
"options": [
"450 Hz",
"540 Hz",
"648 Hz",
"270 Hz"
],
"answer": "3",
"original_question_num": "11"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 15,
"question": "\u091c\u092c \u03bb\u2081 \u0924\u0930\u0902\u0917\u0926\u0948\u0930\u094d\u0918\u094d\u092f \u0915\u0947 \u092b\u094b\u091f\u0949\u0928 \u090f\u0915 \u0935\u093f\u0932\u0917\u093f\u0924 \u0917\u094b\u0932\u0947 \u0915\u094b \u092a\u094d\u0930\u0926\u0940\u092a\u094d\u0924 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902, \u0924\u094b \u0938\u0902\u0917\u0924 '\u0928\u093f\u0930\u094b\u0927\u0940-\u0935\u093f\u092d\u0935' \u0915\u093e \u092e\u093e\u0928 V \u092a\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u091c\u092c \u03bb\u2082 \u0924\u0930\u0902\u0917\u0926\u0948\u0930\u094d\u0918\u094d\u092f \u0915\u0947 \u092b\u094b\u091f\u0949\u0928 \u0909\u092a\u092f\u094b\u0917 \u092e\u0947\u0902 \u0932\u093e\u092f\u0947 \u091c\u093e\u0924\u0947 \u0939\u0948\u0902 \u0924\u094b \u0928\u093f\u0930\u094b\u0927\u0940-\u0935\u093f\u092d\u0935 \u0915\u093e \u092e\u093e\u0928 \u0924\u093f\u0917\u0941\u0928\u093e (3V) \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0905\u0917\u0930 \u03bb\u2083 \u0924\u0930\u0902\u0917\u0926\u0948\u0930\u094d\u0918\u094d\u092f \u0915\u0947 \u092b\u094b\u091f\u0949\u0928 \u0938\u0947 \u0917\u094b\u0932\u0947 \u0915\u094b \u092a\u094d\u0930\u0926\u0940\u092a\u094d\u0924 \u0915\u093f\u092f\u093e \u091c\u093e\u090f, \u0924\u094b \u0928\u093f\u0930\u094b\u0927\u0940-\u0935\u093f\u092d\u0935 \u0915\u093e \u092e\u093e\u0928 \u0939\u094b\u0917\u093e :",
"options": [
"hc/e [1/\u03bb\u2083 - 1/\u03bb\u2082 - 1/\u03bb\u2081]",
"hc/e [1/\u03bb\u2083 + 1/\u03bb\u2082 - 1/\u03bb\u2081]",
"hc/e [1/\u03bb\u2083 + 1/2\u03bb\u2082 - 3/2\u03bb\u2081]",
"hc/e [1/\u03bb\u2083 + 1/2\u03bb\u2082 - 1/\u03bb\u2081]"
],
"answer": "3",
"original_question_num": "21"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 42,
"question": "\u092c\u093f\u0902\u0926\u0941 (2, 1) \u0915\u094b \u0930\u0947\u0916\u093e L : x - y = 4 \u0915\u0947 \u0938\u092e\u093e\u0928\u093e\u0902\u0924\u0930, 2\u221a3 \u0907\u0915\u093e\u0908 \u0938\u094d\u0925\u093e\u0928\u093e\u0902\u0924\u0930\u093f\u0924 \u0915\u093f\u092f\u093e \u0917\u092f\u093e\u0964 \u092f\u0926\u093f \u0928\u092f\u093e \u092c\u093f\u0902\u0926\u0941 Q \u0924\u0940\u0938\u0930\u0947 \u091a\u0924\u0941\u0930\u094d\u0925\u093e\u0902\u0936 \u092e\u0947\u0902 \u0938\u094d\u0925\u093f\u0924 \u0939\u0948, \u0924\u094b \u092c\u093f\u0902\u0926\u0941 Q \u0938\u0947 \u0939\u094b\u0915\u0930 \u091c\u093e\u0928\u0947 \u0935\u093e\u0932\u0940 \u0924\u0925\u093e L \u0915\u0947 \u0932\u0902\u092c\u0935\u0924 \u0930\u0947\u0916\u093e \u0915\u093e \u0938\u092e\u0940\u0915\u0930\u0923 \u0939\u0948 :",
"options": [
"x + y = 2 - \u221a6",
"x + y = 3 - 3\u221a6",
"x + y = 3 - 2\u221a6",
"2x + 2y = 1 - \u221a6"
],
"answer": "3",
"original_question_num": "79"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 42,
"question": "\u090f\u0915 \u0935\u0943\u0924\u094d\u0924 \u092c\u093f\u0902\u0926\u0941 (\u22122, 4) \u0938\u0947 \u0939\u094b\u0915\u0930 \u091c\u093e\u0924\u093e \u0939\u0948 \u0924\u0925\u093e y-\u0905\u0915\u094d\u0937 \u0915\u094b (0, 2) \u092a\u0930 \u0938\u094d\u092a\u0930\u094d\u0936 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928 \u0938\u093e \u090f\u0915 \u0938\u092e\u0940\u0915\u0930\u0923 \u0907\u0938 \u0935\u0943\u0924\u094d\u0924 \u0915\u0947 \u0935\u094d\u092f\u093e\u0938 \u0915\u094b \u0928\u093f\u0930\u0942\u092a\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948 ?",
"options": [
"4x + 5y \u2212 6 = 0",
"2x \u2212 3y + 10 = 0",
"3x + 4y \u2212 3 = 0",
"5x + 2y + 4 = 0"
],
"answer": "2",
"original_question_num": "80"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 42,
"question": "\u092e\u093e\u0928 \u0932\u0940\u091c\u093f\u090f a \u0924\u0925\u093e b \u0915\u094d\u0930\u092e\u0936\u0903 \u090f\u0915 \u0905\u0924\u093f\u092a\u0930\u0935\u0932\u092f \u091c\u093f\u0938\u0915\u0940 \u0905\u0930\u094d\u0927\u0935\u094d\u092f\u093e\u0938\u0940\u092f \u0938\u092e\u0940\u0915\u0930\u0923 9x\u00b2 \u2212 18e + 5 = 0 \u0915\u094b \u0938\u0902\u0924\u0941\u0937\u094d\u091f \u0915\u0930\u0924\u0940 \u0939\u0948, \u0915\u0947 \u0905\u0930\u094d\u0927-\u0905\u0928\u0941\u092a\u094d\u0930\u0938\u094d\u0925 \u0924\u0925\u093e \u0905\u0930\u094d\u0927-\u0905\u0928\u0941\u092a\u094d\u0930\u0938\u094d\u0925 \u0905\u0915\u094d\u0937 \u0939\u0948\u0902\u0964 \u092f\u0926\u093f S(5, 0) \u0907\u0938 \u0905\u0924\u093f\u092a\u0930\u0935\u0932\u092f \u0915\u0940 \u090f\u0915 \u0928\u093e\u092d\u093f \u0924\u0925\u093e 5x = 9 \u0938\u0902\u0917\u0924 \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093f\u0915\u093e (directrix) \u0939\u0948, \u0924\u094b a\u00b2 \u2212 b\u00b2 \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"7",
"\u22127",
"5",
"\u22125"
],
"answer": "2",
"original_question_num": "81"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 35,
"question": "\u0938\u092e\u0940\u0915\u0931\u0923 \\(\\begin{vmatrix} \\cos x & \\sin x & \\sin x \\\\ \\sin x & \\cos x & \\sin x \\\\ \\sin x & \\sin x & \\cos x \\end{vmatrix} = 0\\) \u0915\u0947 \u0905\u0902\u0924\u0930\u093e\u0932 \\(\\left[ -\\frac{\\pi}{4}, \\frac{\\pi}{4} \\right]\\) \u092e\u0947\u0902 \u0915\u093f\u0924\u0928\u0947 \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u092e\u0942\u0932\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948 :",
"options": [
"4",
"3",
"2",
"1"
],
"answer": "3",
"original_question_num": "65"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "reasoning",
"category_original_lang": "\u0924\u0930\u094d\u0915\u0936\u0915\u094d\u0924\u093f",
"page_num": 35,
"question": "\u0936\u092c\u094d\u0926 \"MEDITERRANEAN\" \u0915\u0947 \u0905\u0915\u094d\u0937\u0930\u094b\u0902 \u0938\u0947 \u091a\u093e\u0930 \u0905\u0915\u094d\u0937\u0930\u094b\u0902 \u0915\u0947 \u0910\u0938\u0947 \u0936\u092c\u094d\u0926 (\u091a\u093e\u0939\u0947 \u0905\u0930\u094d\u0925\u0939\u0940\u0928 \u0939\u094b\u0902) \u092c\u0928\u093e\u0928\u0947 \u0939\u0948\u0902 \u091c\u093f\u0928\u0915\u093e \u092a\u0939\u0932\u093e \u0905\u0915\u094d\u0937\u0930 R \u0924\u0925\u093e \u091a\u094c\u0925\u093e \u0905\u0915\u094d\u0937\u0930 E \u0939\u094b, \u0924\u094b \u0910\u0938\u0947 \u0938\u092d\u0940 \u0936\u092c\u094d\u0926\u094b\u0902 \u0915\u0940 \u0915\u0941\u0932 \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948 :",
"options": [
"\\(\\frac{11!}{(2!)^3}\\)",
"110",
"56",
"59"
],
"answer": "4",
"original_question_num": "66"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 23,
"question": "\u092f\u0926\u093f \u0915\u0949\u092a\u0930 \u0915\u0947 \u090f\u0915 \u092c\u094d\u0932\u0949\u0915 (block) \u0915\u094b \u090f\u0915 \u092c\u0940\u0915\u0930 \u092e\u0947\u0902 \u0921\u093e\u0932\u093e \u091c\u093e\u092f\u0947 \u091c\u093f\u0938\u092e\u0947\u0902 1M ZnSO\u2084 \u0915\u093e \u0935\u093f\u0932\u092f\u0928 \u0939\u094b \u0924\u094b \u0915\u094d\u092f\u093e \u0939\u094b\u0917\u093e ?",
"options": [
"\u0915\u0949\u092a\u0930 \u0927\u093e\u0924\u0941 \u0918\u0941\u0932 \u091c\u093e\u092f\u0947\u0917\u0940 \u0924\u0925\u093e \u091c\u093f\u0902\u0915 \u0927\u093e\u0924\u0941 \u0928\u093f\u0915\u094d\u0937\u093f\u092a\u094d\u0924 \u0939\u094b \u091c\u093e\u092f\u0947\u0917\u0940\u0964",
"\u0939\u093e\u0907\u0921\u094d\u0930\u094b\u091c\u0928 \u0917\u0948\u0938 \u0915\u0947 \u0928\u093f\u0915\u0932\u0928\u0947 \u0915\u0947 \u0938\u093e\u0925-\u0938\u093e\u0925 \u0915\u0949\u092a\u0930 \u0927\u093e\u0924\u0941 \u0918\u0941\u0932 \u091c\u093e\u092f\u0947\u0917\u0940\u0964",
"\u0911\u0915\u094d\u0938\u0940\u091c\u0928 \u0917\u0948\u0938 \u0915\u0947 \u0928\u093f\u0915\u0932\u0928\u0947 \u0915\u0947 \u0938\u093e\u0925-\u0938\u093e\u0925 \u0915\u0949\u092a\u0930 \u0927\u093e\u0924\u0941 \u0918\u0941\u0932 \u091c\u093e\u092f\u0947\u0917\u0940\u0964",
"\u0915\u094b\u0908 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0928\u0939\u0940\u0902 \u0939\u094b\u0917\u0940\u0964"
],
"answer": "4",
"original_question_num": "38"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 23,
"question": "\u0915\u094d\u0932\u094b\u0930\u0940\u0928 \u092a\u0930\u092e\u093e\u0923\u0941\u0913\u0902 \u0915\u0940 \u0909\u092a\u0938\u094d\u0925\u093f\u0924\u093f \u092e\u0947\u0902, \u0913\u091c\u093c\u094b\u0928 \u0915\u0940 \u0911\u0915\u094d\u0938\u0940\u091c\u0928 \u092a\u0930\u092e\u093e\u0923\u0941\u0913\u0902 \u0938\u0947 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0926\u094d\u0935\u093f\u092a\u0926 \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e \u0926\u094d\u0935\u093e\u0930\u093e \u0939\u094b\u0924\u0940 \u0939\u0948 :\nO\u2083(g) + Cl\u207b(g) \u2192 O\u2082(g) + ClO\u207b(g) \u2014\u2014 (i)\nk\u2081 = 5.2 \u00d7 10\u2079 L mol\u207b\u00b9 s\u207b\u00b9\nClO\u207b(g) + O\u207b(g) \u2192 O\u2082(g) + Cl\u207b(g) \u2014\u2014 (ii)\nk\u2082 = 2.6 \u00d7 10\u00b9\u2070 L mol\u207b\u00b9 s\u207b\u00b9\n\u0915\u0941\u0932 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e O\u2083(g) + O\u207b(g) \u2192 2 O\u2082(g) \u0915\u093e \u0928\u093f\u0915\u091f\u0924\u092e \u0935\u0947\u0917 \u0928\u093f\u092f\u0924\u093e\u0902\u0915 \u0939\u0948 :",
"options": [
"5.2 \u00d7 10\u2079 L mol\u207b\u00b9 s\u207b\u00b9",
"2.6 \u00d7 10\u00b9\u2070 L mol\u207b\u00b9 s\u207b\u00b9",
"3.1 \u00d7 10\u00b9\u2070 L mol\u207b\u00b9 s\u207b\u00b9",
"1.4 \u00d7 10\u00b2\u2070 L mol\u207b\u00b9 s\u207b\u00b9"
],
"answer": "1",
"original_question_num": "39"
},
{
"language": "hi",
"country": "India",
"file_name": "09.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 19,
"question": "\u090f\u0915 \u091c\u0940\u0928\u0930 \u0921\u093e\u092f\u094b\u0921 \u0915\u093e \u0905\u092d\u093f\u0932\u093e\u0915\u094d\u0937\u0923\u093f\u0915 I - V \u0917\u094d\u0930\u093e\u092b \u092c\u0928\u093e\u0928\u0947 \u0915\u0947 \u0932\u093f\u092f\u0947 \u090f\u0915 \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u091c\u093f\u0938\u092e\u0947\u0902 R = 100 \u03a9 \u0915\u093e \u092a\u094d\u0930\u094b\u091f\u0947\u0915\u094d\u091f\u093f\u0935 \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927 \u0914\u0930 \u0905\u0927\u093f\u0915\u0924\u092e \u092a\u093e\u0935\u0930 1 W \u0926\u0940 \u0917\u0908\u0964 \u0924\u092c \u092a\u0930\u093f\u092a\u0925 \u092e\u0947\u0902 \u0932\u0917\u093e\u092f\u0947 \u0917\u092f\u0947 DC \u0938\u094d\u0930\u094b\u0924 \u0915\u0940 \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0935\u094b\u0932\u094d\u091f\u0924\u093e \u0939\u0948 :",
"options": [
"0 - 5 V",
"0 - 8 V",
"0 - 12 V",
"0 - 24 V"
],
"answer": "4",
"original_question_num": "29"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 34,
"question": "\u0915\u093f\u0938\u0940 \u090f\u0930\u094b\u092e\u0948\u091f\u093f\u0915 \u0935\u0932\u092f \u0915\u093e \u092b\u094d\u0932\u0941\u0913\u0930\u0940\u0915\u0930\u0923 \u0906\u0938\u093e\u0928\u0940 \u0938\u0947 \u0938\u0902\u092a\u0928\u094d\u0928 \u0939\u094b\u0924\u093e \u0939\u0948 \u092f\u0926\u093f \u0909\u0938\u0915\u0947 \u0921\u093e\u092f\u095b\u094b\u0928\u093f\u092f\u092e \u0932\u0935\u0923 \u0915\u094b HBF\u2084 \u0915\u0947 \u0938\u093e\u0925 \u0909\u092a\u091a\u093e\u0930\u093f\u0924 \u0915\u093f\u092f\u093e \u091c\u093e\u090f\u0964 \u0907\u0938 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0947 \u0938\u092e\u094d\u092c\u0928\u094d\u0927 \u092e\u0947\u0902 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928\u0938\u0940 \u092a\u0930\u093f\u0938\u094d\u0925\u093f\u0924\u093f \u0909\u092a\u092f\u0941\u0915\u094d\u0924 \u0939\u0948 ?",
"options": [
"\u0915\u0947\u0935\u0932 \u0909\u0937\u094d\u092e\u093e",
"NaNO\u2082/Cu",
"Cu\u2082O/H\u2082O",
"NaF/Cu"
],
"answer": "1",
"original_question_num": "56"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 34,
"question": "\u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928-\u0938\u093e \u092c\u0939\u0941\u0932\u0915 \u092e\u0941\u0915\u094d\u0924 \u092e\u0942\u0932\u0915 \u092c\u0939\u0941\u0932\u0915\u0940\u0915\u0930\u0923 \u0935\u093f\u0927\u093f \u0926\u094d\u0935\u093e\u0930\u093e \u0938\u0902\u0936\u094d\u0932\u0947\u0937\u093f\u0924 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 ?",
"options": [
"\u091f\u0947\u092b\u094d\u0932\u0949\u0928",
"\u091f\u0947\u0930\u0932\u0940\u0928",
"\u092e\u0947\u0932\u093e\u092e\u093e\u0907\u0928 \u092c\u0939\u0941\u0932\u0915",
"\u0928\u093e\u092f\u0932\u0949\u0928 6,6"
],
"answer": "1",
"original_question_num": "57"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 18,
"question": "\u0917\u0924\u093f 'v' \u0938\u0947 \u091a\u0932\u0924\u093e \u0939\u0941\u0906 \u090f\u0915 \u0928\u094d\u092f\u0942\u091f\u094d\u0930\u0949\u0928 \u090f\u0915 \u0938\u094d\u0925\u093f\u0930 \u0939\u093e\u0907\u0921\u094d\u0930\u094b\u091c\u0928 \u092a\u0930\u092e\u093e\u0923\u0941, \u091c\u094b \u0905\u092a\u0928\u0940 \u0906\u0927\u093e\u0930-\u0905\u0935\u0938\u094d\u0925\u093e \u092e\u0947\u0902 \u0939\u0948, \u0938\u0947 \u0938\u092e\u094d\u092e\u0941\u0916 \u091f\u0915\u094d\u0915\u0930 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u0928\u094d\u092f\u0942\u091f\u094d\u0930\u0949\u0928 \u0915\u0940 \u0935\u0939 \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0917\u0924\u093f\u091c \u090a\u0930\u094d\u091c\u093e \u092c\u0924\u093e\u0907\u090f \u091c\u093f\u0938 \u0915\u0947 \u0939\u094b\u0928\u0947 \u092a\u0930 \u092f\u0939 \u091f\u0915\u094d\u0915\u0930 \u0905\u092f\u0925\u093e\u0930\u094d\u0925\u094d\u092f \u0939\u094b\u0917\u0940 :",
"options": [
"10.2 eV",
"16.8 eV",
"12.1 eV",
"20.4 eV"
],
"answer": "4",
"original_question_num": "22"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 2,
"question": "\u0915\u0902\u0915\u094d\u0930\u0940\u091f \u092e\u093f\u0915\u094d\u0938\u0930 \u092c\u0928\u093e\u0928\u0947 \u0915\u0947 \u0932\u093f\u092f\u0947 \u0938\u0940\u092e\u0947\u0902\u091f, \u0930\u0947\u0924 \u0924\u0925\u093e \u0930\u094b\u0921\u093c\u0940 \u0915\u094b \u090f\u0915 \u0918\u0942\u0930\u094d\u0923\u0928 \u092c\u0947\u0932\u0928\u093e\u0915\u093e\u0930 \u0921\u094d\u0930\u092e \u092e\u0947\u0902 \u0921\u093e\u0932\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u092f\u0926\u093f \u0907\u0938 \u0915\u0940 \u0918\u0942\u0930\u094d\u0923\u0928-\u0917\u0924\u093f \u0924\u0947\u091c \u0939\u094b \u0924\u094b \u092f\u0947 \u0938\u0902\u0915\u0930\u0947\u0921 \u0907\u0938 \u0915\u0940 \u0926\u0940\u0935\u093e\u0930 \u0938\u0947 \u091a\u093f\u092a\u0915\u0947 \u0930\u0939\u0924\u0947 \u0939\u0948\u0902 \u0914\u0930 \u092e\u093f\u0915\u094d\u0938\u0930 \u0920\u0940\u0915 \u0938\u0947 \u0928\u0939\u0940\u0902 \u092c\u0928\u0924\u093e\u0964 \u092f\u0926\u093f \u0907\u0938 \u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e 1.25 m \u0939\u0948 \u0914\u0930 \u0907\u0938\u0915\u0940 \u0927\u0941\u0930\u0940 \u0915\u094d\u0937\u0948\u0924\u093f\u091c \u0939\u0948, \u0924\u092c \u0905\u091a\u094d\u091b\u0947 \u0924\u0930\u0939 \u092e\u093f\u0915\u094d\u0938\u0930 \u0939\u094b\u0928\u0947 \u0915\u0947 \u0932\u093f\u092f\u0947 \u091c\u0930\u0942\u0930\u0940 \u0905\u0927\u093f\u0915\u0924\u092e \u0918\u0942\u0930\u094d\u0923\u0928-\u0917\u0924\u093f rpm \u092e\u0947\u0902 \u0939\u0948 :",
"options": [
"0.4",
"1.3",
"8.0",
"27.0"
],
"answer": "4",
"original_question_num": "3"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 38,
"question": "\u092f\u0926\u093f \\(\\frac{n+2}{n-2}C_6 = 11\\), \u0939\u0948, \u0924\u094b \\(n\\) \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u093f\u0938 \u0938\u092e\u0940\u0915\u0930\u0923 \u0915\u094b \u0938\u0902\u0924\u0941\u0937\u094d\u091f \u0915\u0930\u0924\u093e \u0939\u0948?",
"options": [
"\\(n^2 + 3n - 108 = 0\\)",
"\\(n^2 + 5n - 84 = 0\\)",
"\\(n^2 + 2n - 80 = 0\\)",
"\\(n^2 + n - 110 = 0\\)"
],
"answer": "1",
"original_question_num": "66"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 38,
"question": "\u092f\u0926\u093f \\((x^3 + \\frac{1}{2x^3})^{18}\\), \\((x > 0)\\) \u0915\u0947 \u092a\u094d\u0930\u0938\u093e\u0930 \u092e\u0947\u0902 \\(x^{-2}\\) \u0924\u0925\u093e \\(x^{-4}\\) \u0915\u0947 \u0917\u0941\u0923\u093e\u0902\u0915 \u0915\u094d\u0930\u092e\u0936\u0903 \\(m\\) \u0924\u0925\u093e \\(n\\) \u0939\u0948\u0902, \u0924\u094b \\(\\frac{m}{n}\\) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948:",
"options": [
"182",
"\\(\\frac{4}{5}\\)",
"\\(\\frac{5}{4}\\)",
"27"
],
"answer": "1",
"original_question_num": "67"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 38,
"question": "\u092e\u093e\u0928\u094b \\(a_1, a_2, a_3, ......, a_{n_r}, .....\\) \u090f\u0915 \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u0936\u094d\u0930\u0947\u0923\u0940 \u092e\u0947\u0902 \u0939\u0948\u0902\u0964 \u092f\u0926\u093f \\(a_3 + a_7 + a_{11} + a_{15} = 72\\) \u0939\u0948, \u0924\u094b \u0909\u0938\u0915\u0947 \u092a\u094d\u0930\u0925\u092e 17 \u092a\u0926\u094b\u0902 \u0915\u093e \u092f\u094b\u0917 \u092c\u0930\u093e\u092c\u0930 \u0939\u0948:",
"options": [
"306",
"153",
"612",
"204"
],
"answer": "1",
"original_question_num": "68"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 14,
"question": "'r' \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e \u0915\u0947 \u0927\u093e\u0924\u0941 \u0935\u0943\u0924\u0940\u092f-\u0924\u093e\u0930-\u0932\u0942\u092a \u0915\u093e \u092a\u0943\u0937\u094d\u0920, B = B0e^(-t/\u03c4) \u0926\u094d\u0935\u093e\u0930\u093e \u092c\u0926\u0932\u0924\u0947 \u0939\u0941\u090f \u091a\u0941\u0902\u092c\u0915\u0940\u092f-\u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0915\u0947 \u0932\u092e\u094d\u092c\u0935\u0924 \u0930\u0916\u093e \u0939\u0948\u0964 \u091c\u0939\u093e\u0901 \u0938\u092e\u092f t = 0 \u092a\u0930 B0 \u0924\u0925\u093e \u03c4 \u0905\u091a\u0930 \u0939\u0948\u0902\u0964 \u092f\u0926\u093f \u0932\u0942\u092a \u0915\u093e \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927 R \u0939\u0948, \u0924\u092c \u092a\u0930\u094d\u092f\u093e\u092a\u094d\u0924 \u0932\u092e\u094d\u092c\u0947 \u0938\u092e\u092f (t \u2192 \u221e) \u0917\u0941\u091c\u0930\u0928\u0947 \u0915\u0947 \u092c\u093e\u0926 \u0909\u0938 \u0932\u0942\u092a \u092e\u0947\u0902 \u092a\u0948\u0926\u093e \u0939\u0941\u0908 \u090a\u0930\u094d\u091c\u093e \u0939\u0948 :",
"options": [
"\u03c0^2r^4B0^4 / 2\u03c4R",
"\u03c0^2r^4B0^2 / 2\u03c4R",
"\u03c0^2r^4B0^2 / \u03c4",
"\u03c0^2r^4B0^2 / \u03c4R"
],
"answer": "2",
"original_question_num": "17"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 43,
"question": "\u0905\u0935\u0915\u0932 \u0938\u092e\u0940\u0915\u0930\u0923 \\(\\frac{dy}{dx} + \\frac{y}{2} \\sec x = \\frac{\\tan x}{2y}\\) \u091c\u0939\u093e\u0901 \\(0 \\leq x < \\frac{\\pi}{2}\\) \u0939\u0948 \u0924\u0925\u093e \\(y(0) = 1\\) \u0939\u0948, \u0915\u093e \u0939\u0932 \u0939\u0948 :",
"options": [
"\\(y = 1 - \\frac{x}{\\sec x + \\tan x}\\)",
"\\(y^2 = 1 + \\frac{x}{\\sec x + \\tan x}\\)",
"\\(y^2 = 1 - \\frac{x}{\\sec x + \\tan x}\\)",
"\\(y = 1 + \\frac{x}{\\sec x + \\tan x}\\)"
],
"answer": "3",
"original_question_num": "77"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 43,
"question": "\u092a\u094d\u0930\u0915\u093e\u0936 \u0915\u0940 \u090f\u0915 \u0915\u093f\u0930\u0923 \u090f\u0915 \u0930\u0947\u0916\u093e \u0915\u0940 \u0926\u093f\u0936\u093e \u092e\u0947\u0902 \u0906\u092a\u0924\u093f\u0924 \u0939\u0948 \u091c\u094b \u090f\u0915 \u0905\u0928\u094d\u092f \u0930\u0947\u0916\u093e \\(7x - y + 1 = 0\\) \u0915\u094b \u092c\u093f\u0902\u0926\u0941 \\((0, 1)\\) \u092a\u0930 \u092e\u093f\u0932\u0924\u0940 \u0939\u0948\u0964 \u0935\u0939 \u0915\u093f\u0930\u0923 \u092b\u093f\u0930 \u0907\u0938 \u092c\u093f\u0902\u0926\u0941 \u0938\u0947 \u0930\u0947\u0916\u093e \\(y + 2x = 1\\) \u0915\u0940 \u0926\u093f\u0936\u093e \u092e\u0947\u0902 \u092a\u0930\u093e\u0935\u0930\u094d\u0924\u093f\u0924 \u0939\u094b\u0924\u0940 \u0939\u0948, \u0924\u094b \u0906\u092a\u0924\u093f\u0924 \u092a\u094d\u0930\u0915\u093e\u0936 \u0915\u0940 \u0915\u093f\u0930\u0923 \u0915\u093e \u0938\u092e\u0940\u0915\u0930\u0923 \u0939\u0948 :",
"options": [
"\\(41x - 38y + 38 = 0\\)",
"\\(41x + 25y - 25 = 0\\)",
"\\(41x + 38y - 38 = 0\\)",
"\\(41x - 25y + 25 = 0\\)"
],
"answer": "1",
"original_question_num": "78"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 42,
"question": "\u0938\u092e\u093e\u0915\u0932\u0928 4 \u0938\u0947 10 \u0924\u0915 [x^2] / (x^2 - 28x + 196) + [x^2] dx, \u091c\u0939\u093e\u0901 [x], x \u0938\u0947 \u0915\u092e \u092f\u093e x \u0915\u0947 \u092c\u0930\u093e\u092c\u0930 \u092e\u0939\u0924\u094d\u0924\u092e \u092a\u0942\u0930\u094d\u0923\u093e\u0902\u0915 \u0939\u0948, \u0915\u093e \u092e\u093e\u0928 \u0939\u0948 :",
"options": [
"6",
"3",
"7",
"1/3"
],
"answer": "2",
"original_question_num": "75"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 42,
"question": "x \u03b5 R, x \u2260 0, \u0915\u0947 \u0932\u093f\u090f, \u092f\u0926\u093f y(x) \u090f\u0915 \u0910\u0938\u093e \u0905\u0935\u0915\u0932\u0928\u0940\u092f \u092b\u0932\u0928 \u0939\u0948 \u0915\u093f x \u0938\u0947 1 \u0924\u0915 y(t) dt = (x + 1) \u0938\u0947 x \u0924\u0915 t y(t) dt, \u0924\u094b y(x) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 : (\u091c\u0939\u093e\u0901 C \u090f\u0915 \u0905\u091a\u0930 \u0939\u0948)",
"options": [
"C/x e^(-1/x)",
"C/x^2 e^(-1/x)",
"C/x^3 e^(-1/x)",
"Cx^3 1/e^x"
],
"answer": "3",
"original_question_num": "76"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 15,
"question": "\u0936\u0942\u0928\u094d\u092f \u092e\u0947\u0902 \u091a\u0932 \u0930\u0939\u0940 \u0935\u0948\u0926\u094d\u092f\u0941\u0924-\u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u0924\u0930\u0902\u0917 \u0915\u0947 \u0932\u093f\u090f \u0938\u0939\u0940 \u0935\u093f\u0915\u0932\u094d\u092a \u091a\u0941\u0928\u093f\u090f\u0964",
"options": [
"+x \u0926\u093f\u0936\u093e \u092e\u0947\u0902 \u091a\u0932\u093f\u0924 \u0935\u0948\u0926\u094d\u092f\u0941\u0924-\u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u0924\u0930\u0902\u0917 \u0915\u0947 \u0932\u093f\u090f",
"+x \u0926\u093f\u0936\u093e \u092e\u0947\u0902 \u091a\u0932\u093f\u0924 \u0935\u0948\u0926\u094d\u092f\u0941\u0924-\u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u0924\u0930\u0902\u0917 \u0915\u0947 \u0932\u093f\u090f",
"+y \u0926\u093f\u0936\u093e \u092e\u0947\u0902 \u091a\u0932 \u0930\u0939\u0940 \u0935\u0948\u0926\u094d\u092f\u0941\u0924-\u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u0924\u0930\u0902\u0917 \u0915\u0947 \u0932\u093f\u090f"
],
"answer": "1",
"original_question_num": "18"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 39,
"question": "\u092f\u094b\u0917\u092b\u0932 \\(\\sum_{r=1}^{10} (r^2 + 1) \\times (r!)\\) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"(11!)
",
"10 \u00d7 (11!)
",
"101 \u00d7 (10!)
",
"11 \u00d7 (11!)"
],
"answer": "2",
"original_question_num": "69"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 39,
"question": "\\(\\lim_{{x \\to 0}} \\frac{(1 - \\cos 2x)^2}{2x \\tan x - x \\tan 2x}\\) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"-2
",
"-\\(\\frac{1}{2}\\)
",
"\\(\\frac{1}{2}\\)
",
"2"
],
"answer": "1",
"original_question_num": "70"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 19,
"question": "C_m(t) = 30 sin 300\u03c0t + 10 (cos 200\u03c0t - cos 400\u03c0t) \u090f\u0915 \u092e\u093e\u0921\u094d\u092f\u0941\u0932\u093f\u0924 \u0938\u093f\u0917\u094d\u0928\u0932 \u0915\u0940 \u0926\u094d\u092f\u094b\u0924\u0915 \u0939\u0948\u0964 \u0924\u092c \u0935\u093e\u0939\u0915 \u0906\u0935\u0943\u0924\u094d\u0924\u093f f_c, \u0938\u0902\u0926\u0947\u0936 \u0906\u0935\u0943\u0924\u094d\u0924\u093f f_m \u0924\u0925\u093e \u092e\u093e\u0921\u094d\u092f\u0941\u0932\u0928 \u0907\u0902\u0921\u0947\u0915\u094d\u0938 \u03bc \u0915\u094d\u0930\u092e\u0936\u0903 \u0939\u0948\u0902 :",
"options": [
"f_c = 200 Hz ; f_m = 50 Hz ; \u03bc = 1/2",
"f_c = 150 Hz ; f_m = 50 Hz ; \u03bc = 2/3",
"f_c = 150 Hz ; f_m = 30 Hz ; \u03bc = 1/3",
"f_c = 200 Hz ; f_m = 30 Hz ; \u03bc = 1/2"
],
"answer": "2",
"original_question_num": "24"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 19,
"question": "m \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 \u0915\u0947 \u0915\u0923 \u092a\u0930 F \u092c\u0932 \u0932\u0917 \u0930\u0939\u093e \u0939\u0948, \u0914\u0930 \u0909\u0938\u0915\u0947 \u0932\u093f\u092f\u0947 \u0906\u092a\u0947\u0915\u094d\u0937\u093f\u0915 \u0938\u092e\u094d\u092c\u0928\u094d\u0927 \u0939\u0948 F = R/t^2 v(t) \u0907\u0938 \u0938\u092e\u094d\u092c\u0928\u094d\u0927 \u0915\u0947 \u0938\u0924\u094d\u092f\u093e\u092a\u0928 \u0915\u0947 \u0932\u093f\u090f \u0936\u0942\u0928\u094d\u092f \u0905\u0935\u0938\u094d\u0925\u093e \u0938\u0947 \u0915\u0923 \u0915\u0940 \u0917\u0924\u093f \u0915\u093e \u092a\u094d\u0930\u0947\u0915\u094d\u0937\u0923 (Observation) \u0915\u0930 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928 \u0938\u093e \u0917\u094d\u0930\u093e\u092b \u0938\u0930\u094d\u0935\u094b\u0924\u094d\u0924\u092e \u0939\u094b\u0917\u093e?",
"options": [
"t^2 \u0915\u0947 \u0935\u093f\u0930\u0941\u0926\u094d\u0927 v(t)",
"1/t^2 \u0915\u0947 \u0935\u093f\u0930\u0941\u0926\u094d\u0927 log v(t)",
"t \u0915\u0947 \u0935\u093f\u0930\u0941\u0926\u094d\u0927 log v(t)",
"1/t \u0915\u0947 \u0935\u093f\u0930\u0941\u0926\u094d\u0927 log v(t)"
],
"answer": "4",
"original_question_num": "25"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 23,
"question": "0.1N \u0926\u094d\u0935\u093f\u0915\u094d\u0937\u093e\u0930\u0915 \u0905\u092e\u094d\u0932 \u0915\u093e \u0906\u0935\u0930\u094d\u0924\u0928 \u0915\u094d\u092f\u093e \u0939\u094b\u0917\u093e \u091c\u094b 1 \u0917\u094d\u0930\u093e\u092e \u0915\u094d\u0937\u093e\u0930\u0915 \u091c\u093f\u0938\u0915\u0947 \u091c\u0932\u0940\u092f \u0935\u093f\u0932\u092f\u0928 \u092e\u0947\u0902 0.04 \u092e\u094b\u0932 OH\u207b \u0939\u0948 \u0915\u094b \u0909\u0926\u093e\u0938\u0940\u0928 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u092f\u0947 \u092a\u0930\u094d\u092f\u093e\u092a\u094d\u0924 \u0939\u0948 ?",
"options": [
"200 mL",
"400 mL",
"600 mL",
"800 mL"
],
"answer": "2",
"original_question_num": "31"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "pharmacy",
"category_original_lang": "\u092b\u093e\u0930\u094d\u092e\u0947\u0938\u0940",
"page_num": 35,
"question": "\u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928-\u0938\u093e \u092c\u0948\u0915\u094d\u091f\u0940\u0930\u093f\u092f\u093e\u0928\u093e\u0936\u0940 \u092a\u094d\u0930\u0924\u093f\u091c\u0948\u0935\u093f\u0915 \u0939\u0948 ?",
"options": [
"\u090f\u0930\u093f\u0925\u094d\u0930\u094b\u092e\u093e\u0907\u0938\u093f\u0928",
"\u091f\u0947\u091f\u094d\u0930\u093e\u0938\u093e\u0907\u0915\u094d\u0932\u093f\u0928",
"\u0915\u094d\u0932\u094b\u0930\u093e\u092e\u092b\u0947\u0928\u093f\u0915\u093e\u0932",
"\u0911\u092b\u094d\u0932\u094b\u0915\u094d\u0938\u093e\u0938\u093f\u0928"
],
"answer": "4",
"original_question_num": "59"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 35,
"question": "\u0930\u0942\u092e\u0928\u094d\u0928 \u0915\u093e \u0928\u0940\u0932 \u0932\u094b\u0939\u093f\u0924 (\u092a\u0930\u094d\u092a\u0932) \u0915\u093e \u092a\u094d\u0930\u0915\u091f \u0939\u094b\u0928\u093e \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u0947\u0902 \u0938\u0947 \u0915\u093f\u0938\u0915\u093e \u0938\u0941\u0928\u093f\u0936\u094d\u091a\u093f\u0924 \u092a\u0930\u0940\u0915\u094d\u0937\u0923 \u0939\u0948 ?",
"options": [
"\u0905\u092a\u091a\u093e\u092f\u0915 \u0936\u0930\u094d\u0915\u0930\u093e",
"\u0915\u094d\u092f\u0942\u092a\u094d\u0930\u093f\u0915 \u0906\u092f\u0928",
"\u092a\u094d\u0930\u094b\u091f\u0940\u0928",
"\u0938\u094d\u091f\u093e\u0930\u094d\u091a (\u092e\u0902\u0921)"
],
"answer": "3",
"original_question_num": "60"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 35,
"question": "\u092e\u093e\u0928 P = {\u03b8 : sin\u03b8 - cos\u03b8 = \u221a2 cos\u03b8} \u0924\u0925\u093e Q = {\u03b8 : sin\u03b8 + cos\u03b8 = \u221a2 sin\u03b8} \u0926\u094b \u0938\u092e\u0941\u091a\u094d\u091a\u092f \u0939\u0948\u0902, \u0924\u094b :",
"options": [
"P \u2282 Q \u0924\u0925\u093e Q - P \u2260 \u03c6",
"Q \u2282 P",
"P \u2282 Q",
"P = Q"
],
"answer": "4",
"original_question_num": "61"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 28,
"question": "\u0915\u0948\u0932\u094d\u0938\u093f\u092f\u092e \u0911\u0915\u094d\u0938\u093e\u0907\u0921 \u0915\u093e \u0935\u094d\u092f\u093e\u0935\u0938\u093e\u092f\u093f\u0915 \u0928\u093e\u092e \u0939\u0948 :",
"options": [
"\u092e\u093f\u0932\u094d\u0915 \u0911\u092b \u0932\u093e\u0907\u092e",
"\u0938\u094d\u0932\u0947\u0915\u094d\u0921 \u0932\u093e\u0907\u092e",
"\u0932\u093e\u0907\u092e\u0938\u094d\u091f\u094b\u0928",
"\u0935\u093f\u0915\u094d\u0915 \u0932\u093e\u0907\u092e"
],
"answer": "4",
"original_question_num": "44"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 28,
"question": "\u0915\u0925\u0928 : \u0915\u093e\u0930\u094d\u092c\u0928 \u0915\u0947 \u0905\u092a\u0930\u0942\u092a\u094b\u0902 \u092e\u0947\u0902, \u0921\u093e\u092f\u092e\u0902\u0921 \u0915\u0941\u091a\u093e\u0932\u0915 \u0939\u0948 \u091c\u092c \u0915\u093f \u0917\u094d\u0930\u0947\u092b\u093e\u0907\u091f \u090f\u0915 \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0938\u0941\u091a\u093e\u0932\u0915 \u0939\u0948\u0964",
"options": [
"\u0915\u0925\u0928 \u0924\u0925\u093e \u0915\u093e\u0930\u0923 \u0926\u094b\u0928\u094b\u0902 \u0938\u0939\u0940 \u0939\u0948\u0902 \u0924\u0925\u093e \u0915\u093e\u0930\u0923 \u0915\u0925\u0928 \u0915\u0940 \u0938\u0939\u0940 \u0935\u094d\u092f\u093e\u0916\u094d\u092f\u093e \u0939\u0948\u0964",
"\u0915\u0925\u0928 \u0924\u0925\u093e \u0915\u093e\u0930\u0923 \u0926\u094b\u0928\u094b\u0902 \u0938\u0939\u0940 \u0939\u0948\u0902 \u092a\u0930\u0902\u0924\u0941 \u0915\u093e\u0930\u0923, \u0915\u0925\u0928 \u0915\u0940 \u0938\u0939\u0940 \u0935\u094d\u092f\u093e\u0916\u094d\u092f\u093e \u0928\u0939\u0940\u0902 \u0939\u0948\u0964",
"\u0915\u0925\u0928 \u0905\u0938\u0924\u094d\u092f \u0939\u0948 \u092a\u0930\u0902\u0924\u0941 \u0915\u093e\u0930\u0923 \u0938\u0924\u094d\u092f \u0939\u0948\u0964",
"\u0915\u0925\u0928 \u0924\u0925\u093e \u0915\u093e\u0930\u0923 \u0926\u094b\u0928\u094b\u0902 \u0939\u0940 \u0905\u0938\u0924\u094d\u092f \u0939\u0948\u0902\u0964"
],
"answer": "2",
"original_question_num": "45"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 28,
"question": "\u0905\u0938\u0924\u094d\u092f \u0915\u0925\u0928 \u0915\u094b \u092a\u0939\u091a\u093e\u0928\u093f\u090f :",
"options": [
"\u0911\u0915\u094d\u0938\u0940\u091c\u0928 \u0915\u0940 \u0924\u0930\u0939 S\u2082 \u0905\u0928\u0941\u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u0939\u0948\u0964",
"\u0930\u0949\u092e\u094d\u092c\u093f\u0915 (\u0935\u093f\u0937\u092e\u0932\u0902\u092c) \u0924\u0925\u093e \u092e\u094b\u0928\u094b\u0915\u094d\u0932\u093f\u0928\u093f\u0915 \u0938\u0932\u094d\u092b\u0930 \u092e\u0947\u0902 S\u2088 \u0905\u0923\u0941 \u0939\u0948\u0902\u0964",
"S\u2088 \u0935\u0932\u092f \u0915\u093e \u0906\u0915\u093e\u0930 \u092e\u0941\u0915\u0941\u091f (\u0915\u094d\u0930\u093e\u0909\u0928) \u091c\u0948\u0938\u0947 \u0939\u0948\u0964",
"S\u2088 \u0924\u0925\u093e S\u2086 \u0935\u0932\u092f\u094b\u0902 \u092e\u0947\u0902 S-S-S \u092c\u0902\u0927 \u0915\u094b\u0923 \u090f\u0915 \u091c\u0948\u0938\u0947 \u0939\u0948\u0902\u0964"
],
"answer": "4",
"original_question_num": "46"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 45,
"question": "\u090f\u0915 \u0905\u0924\u093f\u092a\u0930\u0935\u0932\u092f, \u091c\u093f\u0938\u0915\u093e \u0905\u0928\u0941\u092a\u094d\u0930\u0938\u094d\u0925 \u0905\u0915\u094d\u0937 \u0936\u093e\u0902\u0915\u0935 \\( \\frac{x^2}{3} + \\frac{y^2}{4} = 4 \\) \u0915\u0947 \u0926\u0940\u0930\u094d\u0918 \u0905\u0915\u094d\u0937 \u0915\u0940 \u0926\u093f\u0936\u093e \u092e\u0947\u0902 \u0939\u0948 \u0924\u0925\u093e \u091c\u093f\u0938\u0915\u0947 \u0936\u0940\u0930\u094d\u0937 \u0907\u0938 \u0936\u093e\u0902\u0915\u0935 \u0915\u0940 \u0928\u093e\u092d\u093f\u092f\u094b\u0902 \u092a\u0930 \u0939\u0948\u0902\u0964 \u092f\u0926\u093f \u0905\u0924\u093f\u092a\u0930\u0935\u0932\u092f \u0915\u0940 \u0909\u0924\u094d\u0915\u0947\u0928\u094d\u0926\u094d\u0930\u0924\u093e \\( \\frac{3}{2} \\) \u0939\u0948, \u0924\u094b \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928 \u0938\u093e \u092c\u093f\u0902\u0926\u0941 \u0907\u0938 \u092a\u0930 \u0938\u094d\u0925\u093f\u0924 \u0928\u0939\u0940\u0902 \u0939\u0948 ?",
"options": [
"(0, 2)",
"\\( (\\sqrt{5}, 2\\sqrt{2}) \\)",
"\\( (\\sqrt{10}, 2\\sqrt{3}) \\)",
"\\( (5, 2\\sqrt{3}) \\)"
],
"answer": "4",
"original_question_num": "82"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 45,
"question": "\u090f\u0915 \u0938\u092e\u0924\u0932 \u092e\u0947\u0902 \u090f\u0915 \u0924\u094d\u0930\u093f\u092d\u0941\u091c ABC \u0939\u0948 \u091c\u093f\u0938\u0915\u0947 \u0936\u0940\u0930\u094d\u0937 A(2, 3, 5), B(-1, 3, 2) \u0924\u0925\u093e C(A, 5, \u03bc) \u0939\u0948\u0902\u0964 \u092f\u0926\u093f A \u0938\u0947 \u0939\u094b\u0915\u0930 \u091c\u093e\u0924\u0940 \u092e\u093e\u0927\u094d\u092f\u093f\u0915\u093e \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 \u0905\u0915\u094d\u0937\u094b\u0902 \u092a\u0930 \u0938\u092e\u093e\u0928 \u0930\u0942\u092a \u0938\u0947 \u091d\u0941\u0915\u0940 \u0939\u0948, \u0924\u094b \\( \\lambda^3 + \\mu^3 + 5 \\) \u0915\u093e \u092e\u093e\u0928 \u0939\u0948 :",
"options": [
"1130",
"1348",
"676",
"1077"
],
"answer": "2",
"original_question_num": "83"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 8,
"question": "\u090f\u0915 \u0907\u0902\u091c\u0928 \u0915\u093e \u092a\u093f\u0938\u094d\u091f\u0928 7 cm \u0906\u092f\u093e\u092e \u0915\u0940 \u0938\u0930\u0932-\u0906\u0935\u0930\u094d\u0924-\u0917\u0924\u093f \u090a\u0930\u094d\u0927\u094d\u0935\u093e\u0927\u0930 \u092e\u0947\u0902 \u0915\u0930 \u0930\u0939\u093e \u0939\u0948\u0964 \u092a\u093f\u0938\u094d\u091f\u0928 \u0915\u0947 \u090a\u092a\u0930 \u090f\u0915 \u0935\u093e\u0936\u0930 \u0930\u0916\u093e \u0939\u0948 \u091c\u094b \u092a\u093f\u0938\u094d\u091f\u0928 \u0915\u0947 \u0938\u093e\u0925 \u091a\u0932\u0924\u093e \u0939\u0948\u0964 \u092e\u094b\u091f\u0930 \u0915\u0940 \u0917\u0924\u093f \u0927\u0940\u0930\u0947-\u0927\u0940\u0930\u0947 \u092c\u0922\u093c\u093e\u0908 \u091c\u093e\u0924\u0940 \u0939\u0948\u0964 \u0935\u0939 \u092a\u093f\u0938\u094d\u091f\u0928 \u0915\u0940 \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u091c\u093f\u0938 \u092a\u0930 \u0935\u093e\u0936\u0930 \u092a\u093f\u0938\u094d\u091f\u0928 \u0915\u0947 \u0938\u093e\u0925 \u091b\u094b\u0921\u093c \u0926\u0947\u0924\u093e \u0939\u0948, \u0935\u0939 \u0932\u0917\u092d\u0917 \u0939\u0948 :",
"options": [
"0.1 Hz",
"1.2 Hz",
"0.7 Hz",
"1.9 Hz"
],
"answer": "4",
"original_question_num": "10"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 8,
"question": "\u090f\u0915 \u0916\u093f\u0932\u094c\u0928\u093e \u0915\u093e\u0930 \u0939\u093e\u0930\u094d\u0928 \u092c\u091c\u093e\u0924\u0940 \u0939\u0941\u0908 5 m/s \u0915\u0940 \u0938\u094d\u0925\u093f\u0930 \u0917\u0924\u093f \u0938\u0947 \u090f\u0915 \u0926\u0940\u0935\u093e\u0930 \u0938\u0947 \u0926\u0942\u0930 \u0924\u0925\u093e \u090f\u0915 \u0935\u094d\u092f\u0915\u094d\u0924\u093f \u0915\u0940 \u0913\u0930 \u091c\u093e \u0930\u0939\u0940 \u0939\u0948\u0964 \u0909\u0938 \u0935\u094d\u092f\u0915\u094d\u0924\u093f \u0915\u094b 5 \u092c\u0940\u091f\u094d\u0938/\u0938\u0947. \u0938\u0941\u0928\u093e\u0908 \u0926\u0947\u0924\u0940 \u0939\u0948\u0902\u0964 \u092f\u0926\u093f \u0939\u0935\u093e \u092e\u0947\u0902 \u0927\u094d\u0935\u0928\u093f \u0915\u0940 \u0917\u0924\u093f 340 m/s \u0939\u0948, \u0924\u092c \u0939\u093e\u0930\u094d\u0928 \u0915\u0940 \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u0932\u0917\u092d\u0917 \u0939\u0948 :",
"options": [
"680 Hz",
"510 Hz",
"340 Hz",
"170 Hz"
],
"answer": "4",
"original_question_num": "11"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 24,
"question": "\u090f\u0915 \u0935\u093f\u0936\u0947\u0937 \u0924\u093e\u092a \u092a\u0930 \u0928\u093e\u0907\u091f\u094d\u0930\u094b\u091c\u0928 \u0905\u0923\u0941\u0913\u0902 (N\u2082) \u0915\u093e \u0935\u0930\u094d\u0917 \u092e\u093e\u0927\u094d\u092f \u092e\u0942\u0932 \u0935\u0947\u0917 u \u0939\u0948 \u0964 \u092f\u0926\u093f \u0907\u0938 \u0924\u093e\u092a \u0915\u094b \u0926\u094b\u0917\u0941\u0928\u093e \u0915\u0930 \u0926\u093f\u092f\u093e \u091c\u093e\u090f \u0914\u0930 \u0938\u092d\u0940 \u0928\u093e\u0907\u091f\u094d\u0930\u094b\u091c\u0928 \u0905\u0923\u0941 \u0935\u093f\u0918\u091f\u093f\u0924 \u0939\u094b\u0915\u0930 \u0928\u093e\u0907\u091f\u094d\u0930\u094b\u091c\u0928 \u092a\u0930\u092e\u093e\u0923\u0941 \u092c\u0928 \u091c\u093e\u090f \u0924\u094b \u0928\u092f\u093e \u0935\u0930\u094d\u0917 \u092e\u093e\u0927\u094d\u092f \u092e\u0942\u0932 \u0935\u0947\u0917 \u0939\u094b\u0917\u093e :",
"options": [
"u/2",
"2u",
"4u",
"14u"
],
"answer": "2",
"original_question_num": "32"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 24,
"question": "\u0915\u093f\u0938 \u0932\u0935\u0923 \u0915\u0947 \u091c\u0932\u0940\u092f \u0935\u093f\u0932\u092f\u0928 \u092e\u0947\u0902 1s\u00b22s\u00b22p\u20763s\u00b23p\u2076 \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928\u093f\u0915 \u0935\u093f\u0928\u094d\u092f\u093e\u0938 \u0915\u0947 \u0906\u092f\u0928 \u0928\u0939\u0940\u0902 \u0939\u094b\u0902\u0917\u0947 ?",
"options": [
"NaF",
"NaCl",
"KBr",
"CaI\u2082"
],
"answer": "1",
"original_question_num": "33"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 24,
"question": "\u0915\u093f\u0938 \u092f\u094c\u0917\u093f\u0915 \u092e\u0947\u0902 H-X-H \u0905\u0923\u0941\u092c\u0928\u094d\u0927 \u0915\u094b\u0923 \u0938\u0930\u094d\u0935\u093e\u0927\u093f\u0915 \u0939\u0948 ?",
"options": [
"CH\u2084",
"NH\u2083",
"H\u2082O",
"PH\u2083"
],
"answer": "1",
"original_question_num": "34"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 4,
"question": "\u092a\u0943\u0925\u094d\u0935\u0940 \u0915\u0940 \u0938\u0924\u0939 \u0938\u0947 'h' \u0926\u0942\u0930\u0940 \u092a\u0930 \u0938\u094d\u0925\u093f\u0924 \u090f\u0915 \u0909\u092a\u0917\u094d\u0930\u0939 \u092a\u0930 \u090f\u0915 'm' \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 \u0915\u093e \u0905\u0902\u0924\u0930\u093f\u0915\u094d\u0937-\u092f\u093e\u0924\u094d\u0930\u0940 \u0915\u093e\u092e \u0915\u0930 \u0930\u0939\u093e \u0939\u0948\u0964 \u092a\u0943\u0925\u094d\u0935\u0940 \u0915\u093e \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 'M' \u0924\u0925\u093e \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e 'R' \u0939\u0948\u0964 \u0924\u092c \u0909\u0938 \u092f\u093e\u0924\u094d\u0930\u0940 \u092a\u0930 \u0932\u0917\u093e \u0939\u0941\u0906 \u0917\u0941\u0930\u0941\u0924\u094d\u0935\u093e\u0915\u0930\u094d\u0937\u0923 \u092c\u0932 FG \u0939\u0948 :",
"options": [
"\u0936\u0942\u0928\u094d\u092f, \u0915\u094d\u092f\u094b\u0902\u0915\u093f \u0935\u0939 \u092f\u093e\u0924\u094d\u0930\u0940 \u092d\u093e\u0930\u0939\u0940\u0928\u0924\u093e \u092e\u0939\u0938\u0942\u0938 \u0915\u0930\u0924\u093e \u0939\u0948\u0964",
"0 < FG < GMm/R^2",
"GMm/(R + h)^2 < FG < GMm/R^2",
"FG = GMm/(R + h)^2"
],
"answer": "4",
"original_question_num": "6"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 49,
"question": "\u0928\u093f\u092e\u094d\u0928 \u0915\u0925\u0928 \u0915\u093e \u092a\u094d\u0930\u0924\u093f\u092a\u093e\u0926\u0928\u093e\u0924\u094d\u092e\u0915 (contrapositive) \u0939\u0948 : \"\u092f\u0926\u093f \u0915\u093f\u0938\u0940 \u0935\u0930\u094d\u0917 \u0915\u0940 \u092d\u0941\u091c\u093e \u0926\u0941\u0917\u0941\u0928\u0940 \u0939\u094b \u091c\u093e\u090f, \u0924\u094b \u0909\u0938\u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u091a\u093e\u0930 \u0917\u0941\u0928\u093e \u092c\u0922\u093c \u091c\u093e\u0924\u093e \u0939\u0948\" :",
"options": [
"\u092f\u0926\u093f \u090f\u0915 \u0935\u0930\u094d\u0917 \u0915\u0940 \u092d\u0941\u091c\u093e \u0926\u0941\u0917\u0941\u0928\u0940 \u0928 \u0915\u0940 \u091c\u093e\u090f, \u0924\u094b \u0909\u0938\u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u091a\u093e\u0930 \u0917\u0941\u0928\u093e \u0928\u0939\u0940\u0902 \u092c\u0922\u093c\u0924\u093e\u0964",
"\u092f\u0926\u093f \u0915\u093f\u0938\u0940 \u0935\u0930\u094d\u0917 \u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u091a\u093e\u0930 \u0917\u0941\u0928\u093e \u092c\u0922\u093c \u091c\u093e\u090f, \u0924\u094b \u0909\u0938\u0915\u0940 \u092d\u0941\u091c\u093e \u0926\u0941\u0917\u0941\u0928\u0940 \u0939\u094b \u091c\u093e\u0924\u0940 \u0939\u0948\u0964",
"\u092f\u0926\u093f \u0915\u093f\u0938\u0940 \u0935\u0930\u094d\u0917 \u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u091a\u093e\u0930 \u0917\u0941\u0928\u093e \u092c\u0922\u093c \u091c\u093e\u0924\u093e \u0939\u0948, \u0924\u094b \u0909\u0938\u0915\u0940 \u092d\u0941\u091c\u093e \u0926\u0941\u0917\u0941\u0928\u0940 \u0928\u0939\u0940\u0902 \u0939\u094b\u0924\u0940\u0964",
"\u092f\u0926\u093f \u0915\u093f\u0938\u0940 \u0935\u0930\u094d\u0917 \u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u091a\u093e\u0930 \u0917\u0941\u0928\u093e \u0928\u0939\u0940\u0902 \u092c\u0922\u093c\u0924\u093e, \u0924\u094b \u0909\u0938\u0915\u0940 \u092d\u0941\u091c\u093e \u0926\u0941\u0917\u0941\u0928\u0940 \u0928\u0939\u0940\u0902 \u0939\u094b\u0924\u0940\u0964"
],
"answer": "4",
"original_question_num": "90"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 48,
"question": "\u092f\u0926\u093f A>0, B>0 \u0924\u0925\u093e A + B = \u03c0/6 \u0939\u0948, \u0924\u094b tanA + tanB \u0915\u093e \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u092e\u093e\u0928 \u0939\u0948 :",
"options": [
"\u221a3 - \u221a2",
"2 - \u221a3",
"4 - 2\u221a3",
"2/\u221a3"
],
"answer": "3",
"original_question_num": "88"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 48,
"question": "\u092c\u093f\u0902\u0926\u0941 A \u0938\u0947, \u091c\u094b \u090f\u0915 \u090a\u0930\u094d\u0927\u094d\u0935\u093e\u0927\u0930 \u092e\u0940\u0928\u093e\u0930 \u0915\u0947 \u092a\u0942\u0930\u094d\u0935 \u0915\u0940 \u0913\u0930 \u0939\u0948, \u092e\u0940\u0928\u093e\u0930 \u0915\u0947 \u0936\u0940\u0930\u094d\u0937 \u0915\u093e \u0909\u0928\u094d\u0928\u092f\u0928 \u0915\u094b\u0923 45\u00b0 \u0939\u0948\u0964 \u092c\u093f\u0902\u0926\u0941 B, \u091c\u094b \u092c\u093f\u0902\u0926\u0941 A \u0915\u0947 \u0926\u0915\u094d\u0937\u093f\u0923 \u092e\u0947\u0902 \u0939\u0948, \u0938\u0947 \u0909\u0938\u0940 \u092e\u0940\u0928\u093e\u0930 \u0915\u0947 \u0936\u0940\u0930\u094d\u0937 \u0915\u093e \u0909\u0928\u094d\u0928\u092f\u0928 \u0915\u094b\u0923 30\u00b0 \u0939\u0948\u0964 \u092f\u0926\u093f A \u0924\u0925\u093e B \u0915\u0947 \u092c\u0940\u091a \u0915\u0940 \u0926\u0942\u0930\u0940 54\u221a2 \u092e\u0940. \u0939\u0948, \u0924\u094b \u092e\u0940\u0928\u093e\u0930 \u0915\u0940 \u090a\u0901\u091a\u093e\u0908 (\u092e\u0940. \u092e\u0947\u0902) \u0939\u0948 :",
"options": [
"36\u221a3",
"54",
"54\u221a3",
"108"
],
"answer": "2",
"original_question_num": "89"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 25,
"question": "\u092f\u0926\u093f H\u2082O\u2082 \u0915\u0947 100 \u092e\u094b\u0932 1 bar \u0924\u0925\u093e 300 K \u092a\u0930 \u0935\u093f\u0918\u091f\u093f\u0924 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902 \u0924\u094b 1 bar \u0926\u093e\u092c \u0915\u0947 \u0935\u093f\u0930\u0941\u0926\u094d\u0927 1 \u092e\u094b\u0932 \u0911\u0915\u094d\u0938\u0940\u091c\u0928 \u0915\u0947 \u0935\u093f\u0938\u0930\u0923 \u0939\u094b\u0928\u0947 \u092a\u0930 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0915\u093e\u0930\u094d\u092f (kJ \u092e\u0947\u0902) \u0939\u094b\u0917\u093e :",
"options": [
"62.25",
"124.50",
"249.00",
"498.00"
],
"answer": "2",
"original_question_num": "35"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 25,
"question": "\u0915\u093f\u0938\u0940 \u0935\u093f\u0936\u0947\u0937 \u0924\u093e\u092a \u092a\u0930, \u090f\u0915 \u0932\u0935\u0923 MX\u2082 \u0915\u0947 \u091c\u0932\u0940\u092f \u0935\u093f\u0932\u092f\u0928 \u0915\u093e \u0935\u093e\u0902\u091f \u0939\u0949\u092b \u092b\u0948\u0915\u094d\u091f\u0930 2 \u0939\u0948\u0964 \u0932\u0935\u0923 \u0915\u0947 \u0907\u0938 \u0935\u093f\u0932\u092f\u0928 \u0915\u0947 \u0932\u093f\u090f \u0935\u093f\u0918\u091f\u0928 \u092e\u093e\u0924\u094d\u0930\u093e \u0939\u094b\u0917\u0940 :",
"options": [
"0.33",
"0.50",
"0.67",
"0.80"
],
"answer": "2",
"original_question_num": "36"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 25,
"question": "\u090f\u0915 \u092c\u0902\u0926 (\u0938\u0940\u0932\u094d\u0921) \u0928\u093f\u0930\u094d\u0935\u093e\u0924\u093f\u0924 \u092a\u093e\u0924\u094d\u0930 \u092e\u0947\u0902 \u0930\u0916\u093e \u0920\u094b\u0938 XY \u0935\u093f\u0918\u091f\u093f\u0924 \u0939\u094b\u0915\u0930 \u0924\u093e\u092a T \u092a\u0930 \u0926\u094b \u0917\u0948\u0938\u094b\u0902 X \u0924\u0925\u093e Y \u0915\u093e \u092e\u093f\u0936\u094d\u0930\u0923 \u092c\u0928\u093e\u0924\u093e \u0939\u0948\u0964 \u0907\u0938 \u092a\u093e\u0924\u094d\u0930 \u092e\u0947\u0902 \u0926\u093e\u092c 10 bar \u0939\u0948\u0964 \u0907\u0938 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0947 \u0932\u093f\u090f K\u209a \u0939\u094b\u0917\u093e :",
"options": [
"5",
"10",
"25",
"100"
],
"answer": "3",
"original_question_num": "37"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 33,
"question": "PETN \u0915\u0947 \u092c\u0928\u093e\u0928\u0947 \u092e\u0947\u0902 \u092a\u094d\u0930\u092e\u0941\u0916 \u0907\u0930\u0940\u0925\u094d\u0930\u093f\u091f\u094b\u0932 (C(CH\u2082OH)\u2084) \u0915\u0947 \u0938\u0902\u0936\u094d\u0932\u0947\u0937\u0923 \u0915\u0947 \u0938\u092e\u094d\u092c\u0928\u094d\u0927 \u092e\u0947\u0902 \u0938\u0939\u0940 \u0915\u0925\u0928 \u0939\u0948 :",
"options": [
"\u0938\u0902\u0936\u094d\u0932\u0947\u0937\u0923 \u092e\u0947\u0902 \u092e\u0947\u0925\u0947\u0928\u0949\u0932 \u0924\u0925\u093e \u090f\u0925\u0947\u0928\u0949\u0932 \u0915\u0947 \u092c\u0940\u091a \u091a\u093e\u0930 \u090f\u0932\u094d\u0921\u094b\u0932 \u0938\u0902\u092f\u094b\u0917 \u0915\u0940 \u0906\u0935\u0936\u094d\u092f\u0915\u0924\u093e \u0939\u094b\u0924\u0940 \u0939\u0948\u0964",
"\u0938\u0902\u0936\u094d\u0932\u0947\u0937\u0923 \u092e\u0947\u0902 \u0926\u094b \u090f\u0932\u094d\u0921\u094b\u0932 \u0938\u0902\u092f\u094b\u0917 \u0924\u0925\u093e \u0926\u094b \u0915\u0948\u0928\u093f\u091c\u093e\u0930\u094b \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0940 \u091c\u0930\u0942\u0930\u0924 \u0939\u094b\u0924\u0940 \u0939\u0948\u0964",
"\u0938\u0902\u0936\u094d\u0932\u0947\u0937\u0923 \u092e\u0947\u0902 \u0924\u0940\u0928 \u090f\u0932\u094d\u0921\u094b\u0932 \u0938\u0902\u092f\u094b\u0917 \u0924\u0925\u093e \u090f\u0915 \u0915\u0948\u0928\u093f\u091c\u093e\u0930\u094b \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0940 \u0906\u0935\u0936\u094d\u092f\u0915\u0924\u093e \u0939\u094b\u0924\u0940 \u0939\u0948\u0964",
"\u0907\u0938 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u092e\u0947\u0902 \u090f\u0925\u0947\u0928\u0949\u0932 \u0915\u0947 \u0905\u0932\u094d\u092b\u093e \u0939\u093e\u0907\u0921\u094d\u0930\u094b\u091c\u0928 \u0924\u0925\u093e \u092e\u0947\u0925\u0947\u0928\u0949\u0932 \u092d\u093e\u0917 \u0932\u0947\u0924\u0947 \u0939\u0948\u0902\u0964"
],
"answer": "3",
"original_question_num": "55"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 9,
"question": "\u0906\u0935\u0947\u0936-\u0918\u0928\u0924\u094d\u0935 \u03c1(r) \u0915\u0947 \u0915\u093f\u0938\u0940 \u0917\u094b\u0932\u0940\u092f-\u0906\u0935\u0947\u0936-\u0935\u093f\u0924\u0930\u0923, \u0915\u0947 \u0905\u0928\u094d\u0924\u0930\u094d\u0917\u0924 N \u0938\u092e\u092a\u092d\u093e\u0935-\u092a\u0943\u0937\u094d\u0920, \u091c\u093f\u0928\u0915\u0940 \u0935\u093f\u092d\u0935 \u0939\u0948\u0902 V\u2080, V\u2080 + \u0394V, V\u2080 + 2\u0394V, ........ V\u2080 + N\u0394V (\u0394V>0), \u0906\u0930\u0947\u0916\u093f\u0924 \u0915\u093f\u092f\u0947 \u0917\u092f\u0947 \u0939\u0948\u0902 \u0914\u0930 \u0909\u0928\u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e\u090f\u0901 \u0915\u094d\u0930\u092e\u0936\u0903 r\u2080, r\u2081, r\u2082,........rN \u0939\u0948\u0902\u0964 \u092f\u0926\u093f \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e\u0913\u0902 \u0915\u093e \u0905\u0928\u094d\u0924\u0930\u093e\u0932, \u0938\u092d\u0940 V\u2080 \u0924\u0925\u093e \u0394V \u0915\u0947 \u092e\u093e\u0928\u094b\u0902 \u0915\u0947 \u0932\u093f\u092f\u0947, \u0928\u093f\u092f\u0924 \u0939\u0948 \u0924\u092c :",
"options": [
"\u03c1(r) \u221d r",
"\u03c1(r) = \u0905\u091a\u0930",
"\u03c1(r) \u221d 1/r",
"\u03c1(r) \u221d 1/r\u00b2"
],
"answer": "3",
"original_question_num": "12"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 44,
"question": "\u092e\u0942\u0932 \u092c\u093f\u0902\u0926\u0941 O \u0938\u0947 \u0939\u094b\u0915\u0930 \u091c\u093e\u0928\u0947 \u0935\u093e\u0932\u0940 \u090f\u0915 \u0938\u0930\u0932 \u0930\u0947\u0916\u093e \u0930\u0947\u0916\u093e\u0913\u0902 3y = 10 - 4x \u0924\u0925\u093e 8x + 6y + 5 = 0 \u0915\u094b \u0915\u094d\u0930\u092e\u0936\u0903 \u092c\u093f\u0902\u0926\u0941\u0913\u0902 A \u0924\u0925\u093e B \u092a\u0930 \u092e\u093f\u0932\u0924\u0940 \u0939\u0948, \u0924\u094b \u092c\u093f\u0902\u0926\u0941 O \u0930\u0947\u0916\u093e\u0916\u0902\u0921 AB \u0915\u094b \u091c\u093f\u0938 \u0905\u0928\u0941\u092a\u093e\u0924 \u092e\u0947\u0902 \u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948, \u0935\u0939 \u0939\u0948 :",
"options": [
"2 : 3",
"1 : 2",
"4 : 1",
"3 : 4"
],
"answer": "3",
"original_question_num": "79"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 44,
"question": "\u0909\u0938 \u0935\u0943\u0924\u094d\u0924 \u091c\u093f\u0938\u0915\u093e \u0915\u0947\u0902\u0926\u094d\u0930 \u0938\u0930\u0932 \u0930\u0947\u0916\u093e\u0913\u0902 x - y = 1 \u0924\u0925\u093e 2x + y = 3 \u0915\u093e \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u092c\u093f\u0902\u0926\u0941 \u0939\u0948, \u0915\u0947 \u092c\u093f\u0902\u0926\u0941 (1, -1) \u092a\u0930 \u0916\u0940\u0902\u091a\u0940 \u0917\u0908 \u0938\u094d\u092a\u0930\u094d\u0936 \u0930\u0947\u0916\u093e \u0915\u093e \u0938\u092e\u0940\u0915\u0930\u0923 \u0939\u0948 :",
"options": [
"4x + y - 3 = 0",
"x + 4y + 3 = 0",
"3x - y - 4 = 0",
"x - 3y - 4 = 0"
],
"answer": "2",
"original_question_num": "80"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 44,
"question": "P \u0924\u0925\u093e Q \u092a\u0930\u0935\u0932\u092f y^2 = 4x \u092a\u0930 \u0938\u094d\u0925\u093f\u0924 \u0926\u094b \u092d\u093f\u0928\u094d\u0928 \u092c\u093f\u0902\u0926\u0941 \u0939\u0948\u0902 \u091c\u093f\u0928\u0915\u0947 \u092a\u094d\u0930\u093e\u091a\u0932 \u0915\u094d\u0930\u092e\u0936\u0903 t \u0924\u0925\u093e t_1 \u0939\u0948\u0902\u0964 \u092f\u0926\u093f P \u092a\u0930 \u0916\u0940\u0902\u091a\u093e \u0917\u092f\u093e \u0905\u092d\u093f\u0932\u0902\u092c Q \u0938\u0947 \u0939\u094b\u0915\u0930 \u091c\u093e\u0924\u093e \u0939\u0948, \u0924\u094b t_1^2 \u0915\u093e \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u092e\u093e\u0928 \u0939\u0948 :",
"options": [
"2",
"4",
"6",
"8"
],
"answer": "4",
"original_question_num": "81"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 13,
"question": "\u090f\u0915 \u0932\u0921\u093c\u093e\u0915\u0942 \u091c\u0939\u093e\u091c \u0915\u0940 \u0932\u092e\u094d\u092c\u093e\u0908 20 m, \u092a\u0902\u0916\u094b\u0902 \u0915\u0947 \u0938\u093f\u0930\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0926\u0942\u0930\u0940 15 m \u0924\u0925\u093e \u090a\u0902\u091a\u093e\u0908 5 m \u0939\u0948, \u0914\u0930 \u092f\u0939 \u0926\u093f\u0932\u094d\u0932\u0940 \u0915\u0947 \u090a\u092a\u0930 \u092a\u0942\u0930\u094d\u0935-\u0926\u093f\u0936\u093e \u092e\u0947\u0902 240 ms^(-1) \u0917\u0924\u093f \u0938\u0947 \u0909\u0921\u093c \u0930\u0939\u093e \u0939\u0948\u0964 \u0926\u093f\u0932\u094d\u0932\u0940 \u0915\u0947 \u090a\u092a\u0930 \u092a\u0943\u0925\u094d\u0935\u0940 \u0915\u093e \u091a\u0941\u0902\u092c\u0915\u0940\u092f-\u0915\u094d\u0937\u0947\u0924\u094d\u0930 5\u00d710^(-5) T \u0939\u0948, \u0921\u093f\u0915\u094d\u0932\u093f\u0928\u0947\u0936\u0928 \u0915\u094b\u0923 0\u00b0 \u0939\u0948, \u0924\u0925\u093e \u0921\u093f\u092a \u0915\u094b\u0923 \u0915\u0947 \u0932\u093f\u092f\u0947 sin \u03b8 = 2/3 \u0939\u0948\u0964 \u092f\u0926\u093f \u092a\u094d\u0930\u0947\u0930\u093f\u0924-\u0935\u093f\u0935\u0936 V_B \u091c\u0939\u093e\u091c \u0915\u0947 \u090a\u092a\u0930 \u0935 \u0928\u0940\u091a\u0947 \u0915\u0947 \u092c\u0940\u091a ; V_W \u092a\u0902\u0916\u094b\u0902 \u0915\u0947 \u0938\u093f\u0930\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a\u0964 \u0924\u092c :\n(1) V_B = 45 mV ; V_W = 120 mV \u0926\u093e\u092f\u093e\u0902 \u092a\u0902\u0916- \u0938\u093f\u0930\u093e +ve\n(2) V_B = 45 mV ; V_W = 120 mV \u092c\u093e\u092f\u093e\u0902 \u092a\u0902\u0916- \u0938\u093f\u0930\u093e -ve\n(3) V_B = 40 mV ; V_W = 135 mV \u0926\u093e\u092f\u093e\u0902 \u092a\u0902\u0916- \u0938\u093f\u0930\u093e +ve\n(4) V_B = 40 mV ; V_W = 135 mV \u092c\u093e\u092f\u093e\u0902 \u092a\u0902\u0916- \u0938\u093f\u0930\u093e -ve",
"options": [
"V_B = 45 mV ; V_W = 120 mV \u0926\u093e\u092f\u093e\u0902 \u092a\u0902\u0916- \u0938\u093f\u0930\u093e +ve",
"V_B = 45 mV ; V_W = 120 mV \u092c\u093e\u092f\u093e\u0902 \u092a\u0902\u0916- \u0938\u093f\u0930\u093e -ve",
"V_B = 40 mV ; V_W = 135 mV \u0926\u093e\u092f\u093e\u0902 \u092a\u0902\u0916- \u0938\u093f\u0930\u093e +ve",
"V_B = 40 mV ; V_W = 135 mV \u092c\u093e\u092f\u093e\u0902 \u092a\u0902\u0916- \u0938\u093f\u0930\u093e -ve"
],
"answer": "2",
"original_question_num": "16"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 29,
"question": "\u0938\u0939\u0940 \u0915\u0925\u0928 \u0915\u094b \u092a\u0939\u091a\u093e\u0928\u093f\u092f\u0947 :",
"options": [
"\u0906\u092f\u0930\u0928 \u0911\u0915\u094d\u0938\u0940\u091c\u0928-\u092e\u0941\u0915\u094d\u0924 \u091c\u0932 \u092e\u0947\u0902 \u0938\u0902\u0915\u094d\u0937\u093e\u0930\u093f\u0924 \u0939\u094b\u0924\u093e \u0939\u0948\u0964",
"\u0932\u0935\u0923\u0940\u092f \u091c\u0932 \u092e\u0947\u0902 \u0906\u092f\u0930\u0928 \u091c\u0932\u094d\u0926\u0940 \u0938\u0947 \u0938\u0902\u0915\u094d\u0937\u093e\u0930\u093f\u0924 \u0939\u094b\u0924\u093e \u0939\u0948 \u0915\u094d\u092f\u094b\u0902\u0915\u093f \u0907\u0938\u0915\u093e \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0930\u093e\u0938\u093e\u092f\u0928\u093f\u0915 \u0935\u093f\u092d\u0935 \u0909\u091a\u094d\u091a \u0939\u0948\u0964",
"\u0906\u092f\u0930\u0928 \u0915\u093e \u0938\u0902\u0915\u094d\u0937\u093e\u0930\u0923 \u0907\u0938\u0915\u0947 \u0909\u091a\u094d\u091a \u0905\u092a\u091a\u092f\u0928 \u0935\u093f\u092d\u0935 \u0935\u093e\u0932\u0947 \u0927\u093e\u0924\u0941 \u0915\u0947 \u0938\u092e\u094d\u092a\u0930\u094d\u0915 \u092e\u0947\u0902 \u0932\u093e\u0928\u0947 \u092a\u0930 \u0915\u092e \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948\u0964",
"\u0906\u092f\u0930\u0928 \u0915\u093e \u0938\u0902\u0915\u094d\u0937\u093e\u0930\u0923 \u0907\u0938\u0915\u0947 \u0938\u0924\u0939 \u092a\u0930 \u0905\u092a\u093e\u0930\u0917\u092e\u094d\u092f \u0905\u0935\u0930\u094b\u0927 \u092c\u0928\u093e\u0915\u0930 \u0915\u092e \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948\u0964"
],
"answer": "4",
"original_question_num": "47"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 29,
"question": "\u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928 \u0939\u094b\u092e\u094b\u0932\u0948\u092a\u094d\u091f\u093f\u0915 (homoleptic) \u0938\u0902\u0915\u0941\u0932 \u0915\u093e \u090f\u0915 \u0909\u0926\u093e\u0939\u0930\u0923 \u0939\u0948 ?",
"options": [
"[Co(NH\u2083)\u2086]Cl\u2083",
"[Pt(NH\u2083)\u2082Cl\u2082]",
"[Co(NH\u2083)\u2084Cl\u2082]",
"[Co(NH\u2083)\u2085Cl]Cl\u2082"
],
"answer": "1",
"original_question_num": "48"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 29,
"question": "\u0930\u0942\u092c\u0940 \u090f\u0935\u0902 \u090f\u092e\u0930\u093e\u0932\u094d\u0921 \u092e\u0947\u0902 \u091c\u093f\u0928 \u0938\u0902\u0915\u094d\u0930\u092e\u0923 \u0927\u093e\u0924\u0941\u0913\u0902 \u0915\u0947 \u0906\u092f\u0928\u094b\u0902 \u0915\u0940 \u0909\u092a\u0938\u094d\u0925\u093f\u0924\u093f \u0915\u0947 \u0915\u093e\u0930\u0923 \u0930\u0902\u0917 \u0939\u094b\u0924\u093e \u0939\u0948, \u0935\u0947 \u0915\u094d\u0930\u092e\u0936\u0903 \u0939\u0948\u0902 :",
"options": [
"Cr\u00b3\u207a \u0924\u0925\u093e Co\u00b3\u207a",
"Co\u00b3\u207a \u0924\u0925\u093e Cr\u00b3\u207a",
"Co\u00b3\u207a \u0924\u0925\u093e Co\u00b3\u207a",
"Cr\u00b3\u207a \u0924\u0925\u093e Cr\u00b3\u207a"
],
"answer": "4",
"original_question_num": "49"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 47,
"question": "5 \u092a\u094d\u0930\u0947\u0915\u094d\u0937\u0923\u094b\u0902 \u0915\u093e \u092e\u093e\u0924\u094d\u0930\u0915 5 \u0939\u0948 \u0924\u0925\u093e \u0909\u0928\u0915\u093e \u092a\u094d\u0930\u0938\u0930\u0923 124 \u0939\u0948\u0964 \u092f\u0926\u093f \u0909\u0928\u092e\u0947\u0902 \u0938\u0947 \u0924\u0940\u0928 \u092a\u094d\u0930\u0947\u0915\u094d\u0937\u0923 1, 2 \u0924\u0925\u093e 6 \u0939\u0948\u0902, \u0924\u094b \u0907\u0928 \u0905\u0902\u0915\u094b\u0902 \u0915\u093e \u092e\u093e\u0924\u094d\u0930\u0915 \u0938\u0947 \u0938\u093e\u0927\u094d\u092f \u0935\u093f\u091a\u0932\u0928 \u0939\u0948:",
"options": [
"2.4",
"2.8",
"2.5",
"2.6"
],
"answer": "2",
"original_question_num": "86"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 47,
"question": "\u090f\u0915 \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u0947 \u0938\u092b\u0932 \u0939\u094b\u0928\u0947 \u0915\u093e \u0938\u0902\u092f\u094b\u0917 \u0909\u0938\u0915\u0947 \u0935\u093f\u092b\u0932 \u0939\u094b\u0928\u0947 \u0915\u0947 \u0938\u0902\u092f\u094b\u0917 \u0915\u093e \u0926\u0941\u0917\u0941\u0928\u093e \u0939\u0948\u0964 \u0907\u0938 \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u0947 6 \u092a\u0930\u0940\u0915\u094d\u0937\u0923\u094b\u0902 \u092e\u0947\u0902 \u0938\u0947 \u0915\u092e \u0938\u0947 \u0915\u092e \u092a\u093e\u0901\u091a \u0915\u0947 \u0938\u092b\u0932 \u0939\u094b\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0939\u0948:",
"options": [
"240/729",
"192/729",
"256/729",
"496/729"
],
"answer": "3",
"original_question_num": "87"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 6,
"question": "\u090f\u0915 \u0915\u093e\u0930\u094d\u0928\u0949\u091f \u092b\u094d\u0930\u0940\u091c\u0930 \u0905\u092a\u0928\u0947 \u0905\u0902\u0926\u0930 0\u00b0C \u092a\u0930 \u0930\u0916\u0947 \u0939\u0941\u090f \u091c\u0932 \u0938\u0947 \u090a\u0937\u094d\u092e\u093e \u0932\u0947\u0915\u0930 \u0909\u0938\u0947 \u0915\u092e\u0930\u0947 \u0915\u0947 \u0924\u093e\u092a\u092e\u093e\u0928 27\u00b0C \u092a\u0930 \u0928\u093f\u0937\u094d\u0915\u093e\u0938\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u092c\u0930\u094d\u092b \u0915\u093e \u0917\u0941\u092a\u094d\u0924 \u090a\u0937\u094d\u092e\u093e 336 \u00d7 10\u00b3 J kg\u207b\u00b9 \u0939\u0948\u0964 \u092f\u0926\u093f \u092b\u094d\u0930\u0940\u091c\u0930 \u092e\u0947\u0902 \u0930\u0916\u093e 0\u00b0C \u092a\u0930 5 kg \u091c\u0932, 0\u00b0C \u092a\u0930 \u092c\u0930\u094d\u092b \u092e\u0947\u0902 \u092c\u0926\u0932\u0924\u093e \u0939\u0948 \u0924\u092c \u092b\u094d\u0930\u0940\u091c\u0930 \u0926\u094d\u0935\u093e\u0930\u093e \u0916\u092a\u0924 \u0915\u0940 \u0917\u0908 \u090a\u0930\u094d\u091c\u093e \u0932\u0917\u092d\u0917 \u0939\u0948 :",
"options": [
"1.67 \u00d7 10\u2075 J",
"1.68 \u00d7 10\u2076 J",
"1.51 \u00d7 10\u2075 J",
"1.71 \u00d7 10\u2077 J"
],
"answer": "1",
"original_question_num": "8"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 26,
"question": "\u0938\u0915\u094d\u0938\u093f\u0928\u0947\u091f \u0906\u092f\u0928 \u0915\u0947 \u0911\u0915\u094d\u0938\u0940\u0915\u0930\u0923 \u0938\u0947 \u090f\u0925\u093f\u0932\u0940\u0928 \u0924\u0925\u093e \u0915\u093e\u0930\u094d\u092c\u0928 \u0921\u093e\u0907\u0911\u0915\u094d\u0938\u093e\u0907\u0921 \u0917\u0948\u0938\u0947\u0902 \u092c\u0928\u0924\u0940 \u0939\u0948\u0902\u0964 \u092a\u094b\u091f\u0948\u0936\u093f\u092f\u092e \u0938\u0915\u094d\u0938\u093f\u0928\u0947\u091f \u0915\u0947 \u091c\u0932\u0940\u092f \u0935\u093f\u0932\u092f\u0928 \u092e\u0947\u0902 0.2 \u092b\u0948\u0930\u093e\u0921\u0947 \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u092a\u094d\u0930\u0935\u093e\u0939\u093f\u0924 \u0915\u0930\u0928\u0947 \u092a\u0930 \u0917\u0948\u0938\u094b\u0902 \u0915\u093e \u0915\u0941\u0932 \u0906\u092f\u0924\u0928 (\u0915\u0948\u0925\u094b\u0921 \u0924\u0925\u093e \u090f\u0928\u094b\u0921 \u0926\u094b\u0928\u094b\u0902 \u092a\u0930) STP (1 \u0905\u091f\u092e \u0924\u0925\u093e 273 K) \u092a\u0930 \u0939\u094b\u0917\u093e :",
"options": [
"2.24 L",
"4.48 L",
"6.72 L",
"8.96 L"
],
"answer": "4",
"original_question_num": "38"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 26,
"question": "\u0928\u0940\u091a\u0947 \u0926\u0940 \u0917\u0908 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0947 \u0932\u093f\u090f \u0926\u0930 \u0928\u093f\u092f\u092e k [A][B] \u0935\u094d\u092f\u0902\u091c\u0915 \u0938\u0947 \u0935\u094d\u092f\u0915\u094d\u0924 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\nA + B \u2192 \u0909\u0924\u094d\u092a\u093e\u0926\nA \u0915\u0940 \u0938\u093e\u0902\u0926\u094d\u0930\u0924\u093e \u0915\u093e \u092e\u093e\u0928 0.1 \u092e\u094b\u0932\u0930 \u092a\u0930 \u0930\u0916\u0924\u0947 \u0939\u0941\u090f \u092f\u0926\u093f B \u0915\u0940 \u0938\u093e\u0902\u0926\u094d\u0930\u0924\u093e 0.1 \u0938\u0947 \u092c\u0922\u093c\u093e\u0915\u0930 0.3 \u092e\u094b\u0932\u0930 \u0915\u0930 \u0926\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948 \u0924\u094b \u0926\u0930 \u0928\u093f\u092f\u0924\u093e\u0902\u0915 \u0939\u094b\u0917\u093e :",
"options": [
"k",
"k/3",
"3k",
"9k"
],
"answer": "2",
"original_question_num": "39"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 26,
"question": "\u0915\u0941\u091b \u0915\u094b\u0932\u0949\u0907\u0921\u094d\u0938 \u0915\u0947 \u0938\u094d\u0935\u0930\u094d\u0923\u093e\u0902\u0915 \u0939\u0948\u0902, \u091c\u093f\u0932\u0947\u091f\u093f\u0928 : 0.005 - 0.01, \u0917\u092e \u090f\u0930\u0947\u092c\u093f\u0915 : 0.15 - 0.25; \u0913\u0932\u093f\u092f\u0947\u091f : 0.04 - 1.0; \u0938\u094d\u091f\u093e\u0930\u094d\u091a : 15 - 25, \u0907\u0928\u092e\u0947\u0902 \u0915\u094c\u0928-\u0938\u093e \u092c\u0947\u0939\u0924\u0930 \u0930\u0915\u094d\u0937\u0940 \u0915\u094b\u0932\u0949\u0907\u0921 \u0939\u094b\u0917\u093e ?",
"options": [
"\u091c\u093f\u0932\u0947\u091f\u093f\u0928",
"\u0917\u092e \u090f\u0930\u0947\u092c\u093f\u0915",
"\u0913\u0932\u093f\u092f\u0947\u091f",
"\u0938\u094d\u091f\u093e\u0930\u094d\u091a"
],
"answer": "1",
"original_question_num": "40"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 30,
"question": "\u0936\u0941\u0937\u094d\u0915 \u0938\u092b\u093e\u0908 \u092e\u0947\u0902 \u092e\u0941\u0916\u094d\u092f\u0924: \u0928\u093f\u092e\u094d\u0928 \u092a\u0926\u093e\u0930\u094d\u0925\u094b\u0902 \u092e\u0947\u0902 \u0938\u0947 \u0915\u093f\u0938\u0915\u093e \u092a\u094d\u0930\u092f\u094b\u0917 \u0935\u093e\u0924\u093e\u0935\u0930\u0923 \u092a\u094d\u0930\u0926\u0942\u0937\u0923 \u0915\u0947 \u0928\u093f\u092f\u0902\u0924\u094d\u0930\u0923 \u0915\u094b \u092c\u0947\u0939\u0924\u0930 \u0915\u093e\u0930\u094d\u092f \u0928\u0940\u0924\u093f \u0939\u0948 ?",
"options": [
"\u091f\u0947\u091f\u094d\u0930\u093e\u0915\u094d\u0932\u094b\u0930\u094b\u090f\u0925\u093f\u0932\u0940\u0928",
"\u0915\u093e\u0930\u094d\u092c\u0928 \u0921\u093e\u0907\u0911\u0915\u094d\u0938\u093e\u0907\u0921",
"\u0938\u0932\u094d\u092b\u0930 \u0921\u093e\u0907\u0911\u0915\u094d\u0938\u093e\u0907\u0921",
"\u0928\u093e\u0907\u091f\u094d\u0930\u094b\u091c\u0928 \u0921\u093e\u0907\u0911\u0915\u094d\u0938\u093e\u0907\u0921"
],
"answer": "2",
"original_question_num": "50"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 30,
"question": "\u0939\u0948\u0932\u094b\u091c\u0928\u0938 \u0915\u0940 \u091c\u093e\u0901\u091a \u0938\u0947 \u092a\u0939\u0932\u0947 \u0938\u094b\u0921\u093f\u092f\u092e \u090f\u0915\u094d\u0938\u091f\u094d\u0930\u0948\u0915\u094d\u091f \u0915\u094b \u0938\u093e\u0928\u094d\u0926\u094d\u0930 HNO3 \u0915\u0947 \u0938\u093e\u0925 \u0917\u0930\u094d\u092e \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0915\u094d\u092f\u094b\u0902\u0915\u093f :",
"options": [
"\u0938\u093f\u0932\u094d\u0935\u0930 \u0939\u0948\u0932\u093e\u0907\u0921\u094d\u0938 \u0928\u093e\u0907\u091f\u094d\u0930\u093f\u0915 \u0905\u092e\u094d\u0932 \u092e\u0947\u0902 \u092a\u0942\u0930\u094d\u0923\u0930\u0942\u092a\u0947\u0923 \u0905\u0935\u093f\u0932\u0947\u092f \u0939\u0948\u0902\u0964",
"\u0905\u092e\u094d\u0932\u0940\u092f \u092e\u093e\u0927\u094d\u092f\u092e \u092e\u0947\u0902 Ag2S \u0924\u0925\u093e AgCN \u0918\u0941\u0932\u0928\u0936\u0940\u0932 \u0939\u0948\u0902\u0964",
"\u092f\u0926\u093f S2- \u0924\u0925\u093e CN- \u0909\u092a\u0938\u094d\u0925\u093f\u0924 \u0939\u0948\u0902 \u0924\u094b \u0938\u093e\u0928\u094d\u0926\u094d\u0930 HNO3 \u0915\u0947 \u0935\u093f\u0918\u091f\u093f\u0924 \u0939\u094b \u091c\u093e\u0928\u0947 \u0938\u0947 \u0907\u0938\u0940\u0932\u093f\u092f\u0947 \u092a\u0930\u0940\u0915\u094d\u0937\u0923 \u092e\u0947\u0902 \u0939\u0938\u094d\u0924\u0915\u094d\u0937\u0947\u092a \u0928\u0939\u0940\u0902 \u0915\u0930\u0924\u0947\u0964",
"\u0905\u092e\u094d\u0932\u0940\u092f \u092e\u093e\u0927\u094d\u092f\u092e \u092e\u0947\u0902 \u0938\u093f\u0932\u094d\u0935\u0930, \u0939\u0948\u0932\u093e\u0907\u0921\u094d\u0938 \u0915\u0947 \u0938\u093e\u0925 \u0924\u0947\u091c \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0930\u0924\u093e \u0939\u0948\u0964"
],
"answer": "2",
"original_question_num": "51"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 27,
"question": "\u0928\u093f\u092e\u094d\u0928 \u0915\u0925\u0928 \u0906\u0935\u0930\u094d\u0924 \u0938\u093e\u0930\u0923\u0940 \u092e\u0947\u0902 \u0909\u092a\u0938\u094d\u0925\u093f\u0924 \u0924\u0924\u094d\u0935\u094b\u0902 \u0938\u0947 \u0938\u092e\u094d\u092c\u0902\u0927\u093f\u0924 \u0939\u0948\u0902\u0964 \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928-\u0938\u093e \u0938\u0924\u094d\u092f \u0939\u0948 ?",
"options": [
"\u0938\u092e\u0942\u0939 17 \u092e\u0947\u0902 \u0938\u092d\u0940 \u0924\u0924\u094d\u0935 \u0917\u0948\u0938 \u0939\u0948\u0902\u0964",
"\u0938\u092e\u0942\u0939 13 \u092e\u0947\u0902 \u0938\u092d\u0940 \u0924\u0924\u094d\u0935 \u0927\u093e\u0924\u0941 \u0939\u0948\u0902\u0964",
"\u0938\u092e\u0942\u0939 16 \u0915\u0947 \u0924\u0924\u094d\u0935\u094b\u0902 \u0915\u0940 \u0924\u0941\u0932\u0928\u093e \u092e\u0947\u0902 \u0938\u092e\u093e\u0928 \u0906\u0935\u0930\u094d\u0924 \u0915\u0947 \u0938\u092e\u0942\u0939 15 \u0915\u0947 \u0924\u0924\u094d\u0935\u094b\u0902 \u092e\u0947\u0902 \u0906\u092f\u0928\u0928 \u090f\u0928\u094d\u0925\u0948\u0932\u094d\u092a\u0940 \u0915\u093e \u092e\u093e\u0928 \u0915\u092e \u0930\u0939\u0924\u093e \u0939\u0948\u0964",
"\u0938\u092e\u0942\u0939 15 \u0915\u0947 \u0924\u0924\u094d\u0935\u094b\u0902 \u0915\u0947 \u0932\u093f\u090f, \u0938\u092e\u0942\u0939 \u092e\u0947\u0902 \u0928\u0940\u091a\u0947 \u091c\u093e\u0928\u0947 \u092a\u0930 +5 \u0911\u0915\u094d\u0938\u0940\u0915\u0930\u0923 \u0905\u0935\u0938\u094d\u0925\u093e \u0915\u093e \u0938\u094d\u0925\u093e\u092f\u093f\u0924\u094d\u0935 \u092c\u095d\u0924\u093e \u0939\u0948\u0964"
],
"answer": "3",
"original_question_num": "41"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 27,
"question": "\u0938\u094d\u092e\u0947\u0932\u094d\u091f\u093f\u0902\u0917 \u0926\u094d\u0935\u093e\u0930\u093e \u0915\u0949\u092a\u0930 \u0915\u0947 \u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937\u0923 \u092e\u0947\u0902 \u0938\u093f\u0932\u093f\u0915\u093e \u092f\u094b\u091c\u0915 \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u093f\u0938\u0915\u094b \u0939\u091f\u093e\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0921\u093e\u0932\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948 ?",
"options": [
"Cu\u2082S",
"FeO",
"FeS",
"Cu\u2082O"
],
"answer": "2",
"original_question_num": "42"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 27,
"question": "\u0909\u0938 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u094b \u092c\u0924\u093e\u0907\u090f \u091c\u093f\u0938\u092e\u0947\u0902 \u0939\u093e\u0907\u0921\u094d\u0930\u094b\u091c\u0928 \u0909\u0924\u094d\u092a\u0928\u094d\u0928 \u0928\u0939\u0940\u0902 \u0939\u094b\u0924\u0940 \u0939\u0948 :",
"options": [
"\u091c\u0932\u0940\u092f \u0915\u094d\u0937\u093e\u0930 \u0915\u0947 \u0938\u093e\u0925 \u091c\u093f\u0902\u0915 \u0915\u0940 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e",
"\u092a\u094d\u0932\u0947\u091f\u093f\u0928\u092e \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u094b\u0921\u094b\u0902 \u0915\u093e \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u0930 \u0905\u092e\u094d\u0932\u0940\u0915\u0943\u0924 \u091c\u0932 \u0915\u093e \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0905\u092a\u0918\u091f\u0928",
"\u0926\u094d\u0930\u0935 \u0905\u092e\u094b\u0928\u093f\u092f\u093e \u092e\u0947\u0902 \u0938\u094b\u0921\u093f\u092f\u092e \u0915\u0947 \u0935\u093f\u0932\u092f\u0928 \u0915\u094b \u0938\u094d\u0925\u093f\u0930 \u0939\u094b\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u091b\u094b\u095c \u0926\u0947\u0928\u093e",
"B\u2082H\u2086 \u0915\u0947 \u0938\u093e\u0925 \u0932\u093f\u0925\u093f\u092f\u092e \u0939\u093e\u0907\u0921\u094d\u0930\u093e\u0907\u0921 \u0915\u0940 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e"
],
"answer": "4",
"original_question_num": "43"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 11,
"question": "\u092c\u093f\u091c\u0932\u0940 \u0938\u0947 \u091a\u0932\u0928\u0947 \u0935\u093e\u0932\u0947 \u091f\u094b\u0938\u094d\u091f\u0930 \u0915\u0947 \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927 \u0915\u093e \u0924\u093e\u092a\u092e\u093e\u0928 \u0938\u0947 \u092c\u0926\u0932\u093e\u0935 R(T) = R\u2080 [1 + \u03b1(T - T\u2080)] \u0926\u094d\u0935\u093e\u0930\u093e \u0926\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948\u0964 T\u2080 = 300 K \u092a\u0930 R = 100 \u03a9 \u0939\u0948 \u0924\u0925\u093e T = 500 K \u092a\u0930 R = 120 \u03a9 \u0939\u0948\u0964 \u091f\u094b\u0938\u094d\u091f\u0930 200 V \u0915\u0947 \u0938\u094d\u0930\u094b\u0924 \u0938\u0947 \u091c\u0941\u0921\u093c\u093e \u0939\u0948, \u0924\u0925\u093e \u0907\u0938\u0915\u093e \u0924\u093e\u092a\u092e\u093e\u0928 300 K \u0938\u0947 \u090f\u0915 \u0938\u092e\u093e\u0928 \u0926\u0930 \u092a\u0930 \u092c\u0922\u093c\u0915\u0930 30 s \u092e\u0947\u0902 500 K \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0924\u092c \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u092e\u0947\u0902 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0915\u0941\u0932 \u0915\u093e\u0930\u094d\u092f \u0939\u0948 :",
"options": [
"400 ln 1.5/1.3 J",
"200 ln 2/3 J",
"400 ln 5/6 J",
"300 J"
],
"answer": "1",
"original_question_num": "14"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 46,
"question": "\u03bb \u0915\u0947 \u0935\u0939 \u092d\u093f\u0928\u094d\u0928 \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u092e\u093e\u0928\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u091c\u093f\u0928\u0915\u0947 \u0932\u093f\u090f \u0930\u0947\u0916\u093e\u090f\u0901 \\( \\frac{x-1}{1} = \\frac{y-2}{2} = \\frac{z+3}{\\lambda^2} \\) \u0924\u0925\u093e \\( \\frac{x-3}{1} = \\frac{y-2}{\\lambda^2} = \\frac{z-1}{2} \\) \u0938\u092e\u0924\u0932\u0940\u092f \u0939\u0948\u0902, \u0939\u0948 :",
"options": [
"4",
"1",
"2",
"3"
],
"answer": "4",
"original_question_num": "84"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 46,
"question": "\u092e\u093e\u0928 \u0932\u0940\u091c\u093f\u090f ABC \u090f\u0915 \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0939\u0948 \u091c\u093f\u0938\u0915\u093e \u092a\u0930\u093f\u0915\u0947\u0928\u094d\u0926\u094d\u0930 P \u092a\u0930 \u0939\u0948\u0964 \u092f\u0926\u093f \u092c\u093f\u0902\u0926\u0941\u0913\u0902 A, B, C \u0924\u0925\u093e P \u0915\u0947 \u0938\u094d\u0925\u093f\u0924\u093f \u0938\u0926\u093f\u0936 \u0915\u094d\u0930\u092e\u0936\u0903 \\( \\vec{a}, \\vec{b}, \\vec{c} \\) \u0924\u0925\u093e \\( \\frac{\\vec{a} + \\vec{b} + \\vec{c}}{4} \\) \u0939\u0948\u0902, \u0924\u094b \u0907\u0938 \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0915\u0947 \u0932\u092e\u094d\u092c - \u0915\u0947\u0928\u094d\u0926\u094d\u0930 \u0915\u093e \u0938\u094d\u0925\u093f\u0924\u093f \u0938\u0926\u093f\u0936 \u0939\u0948 :",
"options": [
"\\( \\vec{a} + \\vec{b} + \\vec{c} \\)",
"\\( \\frac{\\vec{a} + \\vec{b} + \\vec{c}}{2} \\)",
"\\( \\vec{0} \\)",
"\\( \\frac{\\vec{a} + \\vec{b} + \\vec{c}}{2} \\)"
],
"answer": "4",
"original_question_num": "85"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 20,
"question": "1 m \u0932\u092e\u094d\u092c\u0940 \u092a\u0924\u0932\u0940 \u091b\u0921\u093c \u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e 5 mm \u0939\u0948\u0964 \u092f\u0902\u0917 \u092e\u093e\u0921\u094d\u092f\u0942\u0932\u0938 \u0928\u093f\u0915\u093e\u0932\u0928\u0947 \u0915\u0947 \u0932\u093f\u092f\u0947 \u0907\u0938\u0915\u0947 \u090f\u0915 \u0938\u093f\u0930\u0947 \u092a\u0930 50 mKN \u0915\u093e \u092c\u0932 \u0932\u0917\u093e\u092f\u093e \u0917\u092f\u093e\u0964 \u092e\u093e\u0928\u0947\u0902 \u0915\u093f \u092c\u0932 \u092c\u093f\u0932\u094d\u0915\u0941\u0932 \u0920\u0940\u0915 \u0938\u0947 \u091c\u094d\u091e\u093e\u0924 \u0939\u0948\u0964 \u092f\u0926\u093f \u0932\u092e\u094d\u092c\u093e\u0907\u092f\u094b\u0902 \u0915\u0947 \u092e\u093e\u092a \u092e\u0947\u0902 \u0905\u0928\u093f\u0936\u094d\u091a\u093f\u0924\u0924\u093e 0.01 mm \u0939\u0948\u0964 \u0924\u092c \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928 \u0938\u093e \u0915\u0925\u0928 \u0917\u0932\u0924 \u0939\u0948 ?",
"options": [
"\u0394Y/Y \u092e\u0947\u0902 \u0932\u092e\u094d\u092c\u093e\u0908 \u0915\u0940 \u0905\u0928\u093f\u0936\u094d\u091a\u093f\u0924\u0924\u093e \u0915\u093e \u092f\u094b\u0917\u0926\u093e\u0928 \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0939\u0948\u0964",
"\u091b\u0921\u093c \u0915\u0940 \u0932\u092e\u094d\u092c\u093e\u0908 \u0915\u0947 \u0932\u093f\u092f\u0947 \u0926\u0936\u092e\u0932\u0935 \u0938\u092c\u0938\u0947 \u092c\u0921\u093c\u093e \u0939\u0948\u0964",
"Y \u0915\u093e \u0905\u0927\u093f\u0915\u0924\u092e \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u094b \u0938\u0915\u0928\u0947 \u0935\u093e\u0932\u093e \u092e\u093e\u0928 10^14 N/m^2\u0964",
"\u0394Y/Y \u092e\u0947\u0902 \u0935\u093f\u0915\u0943\u0924\u093f \u0915\u0940 \u0905\u0928\u093f\u0936\u094d\u091a\u093f\u0924\u0924\u093e \u0915\u093e \u092f\u094b\u0917\u0926\u093e\u0928 \u0905\u0927\u093f\u0915\u0924\u092e \u0939\u0948\u0964"
],
"answer": "3",
"original_question_num": "26"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 36,
"question": "\u092f\u0926\u093f \u0938\u092e\u0940\u0915\u0930\u0923 \u221a2x + 1 - \u221a2x - 1 = 1, (x \u2265 1/2) \u0915\u093e x \u090f\u0915 \u0939\u0932 \u0939\u0948, \u0924\u094b \u221a4x\u00b2 - 1 \u092c\u0930\u093e\u092c\u0930 \u0939\u0948:",
"options": [
"3/4",
"1/2",
"2",
"2\u221a2"
],
"answer": "1",
"original_question_num": "62"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 36,
"question": "\u092e\u093e\u0928\u094b z = 1 + ai, a > 0 \u090f\u0915 \u0910\u0938\u0940 \u0938\u092e\u093f\u0936\u094d\u0930 \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948, \u0915\u093f z\u00b3 \u090f\u0915 \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948, \u0924\u094b \u092f\u094b\u0917 1 + z + z\u00b2 + ..... + z\u00b9\u00b9 \u092c\u0930\u093e\u092c\u0930 \u0939\u0948:",
"options": [
"-1250 \u221a3 i",
"1250 \u221a3 i",
"1365 \u221a3 i",
"-1365 \u221a3 i"
],
"answer": "4",
"original_question_num": "63"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 41,
"question": "\u092e\u093e\u0928 \u0932\u0940\u091c\u093f\u090f C \u090f\u0915 \u0935\u0915\u094d\u0930 \u0939\u0948 \u091c\u094b y(x) = 1 + \u221a4x - 3, x > 3/4 \u0926\u094d\u0935\u093e\u0930\u093e \u092a\u094d\u0930\u0926\u0924\u094d\u0924 \u0939\u0948\u0964 \u092f\u0926\u093f P \u090f\u0915 \u0910\u0938\u093e \u092c\u093f\u0902\u0926\u0941 \u0939\u0948 \u0915\u093f P \u092a\u0930 \u0916\u0940\u0902\u091a\u0940 \u0917\u0908 \u0938\u094d\u092a\u0930\u094d\u0936 \u0930\u0947\u0916\u093e \u0915\u0940 \u0922\u093e\u0932 2/3 \u0939\u0948, \u0924\u094b \u0935\u0939 \u092c\u093f\u0902\u0926\u0941 \u091c\u093f\u0938\u0938\u0947 P \u092a\u0930 \u0916\u0940\u0902\u091a\u093e \u0917\u092f\u093e \u0905\u092d\u093f\u0932\u0902\u092c \u0917\u0941\u091c\u0930\u0924\u093e \u0939\u0948, \u0939\u0948 :",
"options": [
"(2, 3)",
"(4, -3)",
"(1, 7)",
"(3, -4)"
],
"answer": "3",
"original_question_num": "73"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 41,
"question": "\u0938\u092e\u093e\u0915\u0932\u0928 \u222b dx / (1 + \u221ax) \u221ax - x\u00b2 \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 : (\u091c\u0939\u093e\u0901 C \u090f\u0915 \u0938\u092e\u093e\u0915\u0932\u0928 \u0905\u0935\u092f \u0939\u0948\u0964)",
"options": [
"-2 [1 + \u221ax / 1 - \u221ax] + C",
"-2 [1 - \u221ax / 1 + \u221ax] + C",
"- [1 - \u221ax / 1 + \u221ax] + C",
"2 [1 + \u221ax / 1 - \u221ax] + C"
],
"answer": "2",
"original_question_num": "74"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 17,
"question": "\u0926\u094b \u0924\u093e\u0930\u0947 \u092a\u0943\u0925\u094d\u0935\u0940 \u0938\u0947 10 \u092a\u094d\u0930\u0915\u093e\u0936-\u0935\u0930\u094d\u0937 \u0915\u0940 \u0926\u0942\u0930\u0940 \u092a\u0930 \u0939\u0948\u0902\u0964 \u0909\u0928\u0915\u094b \u090f\u0915 \u091f\u0947\u0932\u0940\u0938\u094d\u0915\u094b\u092a \u0926\u094d\u0935\u093e\u0930\u093e \u0926\u0947\u0916\u093e \u091c\u093e\u0924\u093e \u0939\u0948, \u091c\u093f\u0938\u0915\u093e \u0905\u092d\u093f\u0935\u094d\u092f\u093e\u0938\u0930\u0942\u092a 30 cm \u0935\u094d\u092f\u093e\u0938 \u0915\u093e \u0939\u0948\u0964 \u092a\u094d\u0930\u0915\u093e\u0936 \u0915\u0940 \u0924\u0930\u0902\u0917\u0926\u0948\u0930\u094d\u0927\u094d\u092f 600 nm \u0939\u0948\u0964 \u091f\u0947\u0932\u0940\u0938\u094d\u0915\u094b\u092a \u0905\u0917\u0930 \u0909\u0928 \u0924\u093e\u0930\u094b\u0902 \u0915\u094b \u0932\u0917\u092d\u0917 \u0935\u093f\u092d\u0947\u0926\u093f\u0924 \u0926\u0947\u0916 \u092a\u093e \u0930\u0939\u093e \u0939\u0948, \u0924\u092c \u0909\u0928\u0915\u0947 \u092c\u0940\u091a \u0915\u0940 \u0926\u0942\u0930\u0940 \u0915\u093e order \u0939\u0948 :",
"options": [
"10^6 km",
"10^8 km",
"10^11 km",
"10^10 km"
],
"answer": "2",
"original_question_num": "20"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 17,
"question": "\u090f\u0915 \u092a\u094d\u0930\u0915\u093e\u0936-\u0935\u0948\u0926\u094d\u092f\u0941\u0924 \u0938\u0924\u0939 \u092a\u0930 \u092a\u0939\u0932\u0940 \u092c\u093e\u0930 \u03bb \u0924\u0925\u093e \u0926\u0942\u0938\u0930\u0940 \u092c\u093e\u0930 \u03bb/2 \u0924\u0930\u0902\u0917\u0926\u0948\u0930\u094d\u0927\u094d\u092f \u0915\u093e \u092a\u094d\u0930\u0915\u093e\u0936 \u0921\u093e\u0932\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u092f\u0926\u093f \u0909\u0924\u094d\u0938\u0930\u094d\u091c\u093f\u0924 \u092a\u094d\u0930\u0915\u093e\u0936-\u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928\u094b\u0902 \u0915\u0940 \u0905\u0927\u093f\u0915\u0924\u092e \u0917\u0924\u093f\u091c-\u090a\u0930\u094d\u091c\u093e \u0926\u0942\u0938\u0930\u0940 \u092c\u093e\u0930 \u092e\u0947\u0902 \u092a\u0939\u0932\u0940 \u092c\u093e\u0930 \u0915\u0940 \u0924\u093f\u0917\u0941\u0928\u0940 \u0939\u094b, \u0924\u092c \u0909\u0938 \u0938\u0924\u0939 \u0915\u093e \u0915\u093e\u0930\u094d\u092f-\u092b\u0932\u0928 \u0939\u0948 :",
"options": [
"hc/3\u03bb",
"hc/2\u03bb",
"hc/\u03bb",
"3hc/\u03bb"
],
"answer": "2",
"original_question_num": "21"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 40,
"question": "\u092e\u093e\u0928\u093e f(x) = sin\u2074x + cos\u2074x \u0939\u0948, \u0924\u094b \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u093f\u0938 \u0905\u0902\u0924\u0930\u093e\u0932 \u092e\u0947\u0902 f \u090f\u0915 \u0935\u0930\u094d\u0927\u092e\u093e\u0928 \u092b\u0932\u0928 \u0939\u0948 ?",
"options": [
"[0, \u03c0/4]",
"[\u03c0/4, \u03c0/2]",
"[\u03c0/2, 5\u03c0/8]",
"[5\u03c0/8, 3\u03c0/4]"
],
"answer": "2",
"original_question_num": "72"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 37,
"question": "\u092e\u093e\u0928 A, 3 \u00d7 3 \u0915\u093e \u090f\u0915 \u0910\u0938\u093e \u0906\u0935\u094d\u092f\u0942\u0939 \u0939\u0948 \u0915\u093f A\u00b2 - 5A + 7I = O \u0939\u0948\u0964\n\u0915\u0925\u0928 - I : A\u207b\u00b9 = 1/7 (5I - A)\u0964\n\u0915\u0925\u0928 - II : \u092c\u0939\u0941\u092a\u0926 A\u00b3 - 2A\u00b2 - 3A + I \u0915\u094b 5(A - 4I) \u092e\u0947\u0902 \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u093f\u0924 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948\u0964\n\u0924\u094b,",
"options": [
"\u0915\u0925\u0928 - I \u0938\u0924\u094d\u092f \u0939\u0948 \u0932\u0947\u0915\u093f\u0928 \u0915\u0925\u0928 - II \u0905\u0938\u0924\u094d\u092f \u0939\u0948\u0964",
"\u0915\u0925\u0928 - I \u0905\u0938\u0924\u094d\u092f \u0939\u0948 \u0932\u0947\u0915\u093f\u0928 \u0915\u0925\u0928 - II \u0938\u0924\u094d\u092f \u0939\u0948\u0964",
"\u0926\u094b\u0928\u094b\u0902 \u0915\u0925\u0928 \u0938\u0924\u094d\u092f \u0939\u0948\u0902\u0964",
"\u0926\u094b\u0928\u094b\u0902 \u0915\u0925\u0928 \u0905\u0938\u0924\u094d\u092f \u0939\u0948\u0902\u0964"
],
"answer": "3",
"original_question_num": "64"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 37,
"question": "\u092f\u0926\u093f A = [ -4 -1 3 1 ], \u0924\u094b \u0906\u0935\u094d\u092f\u0942\u0939 (A\u00b2\u2070\u00b9\u2076 - 2A\u00b2\u2070\u00b9\u2075 - A\u00b2\u2070\u00b9\u2074) \u0915\u093e \u0938\u093e\u0930\u0923\u093f\u0915 \u0939\u0948 :",
"options": [
"2014",
"-175",
"2016",
"-25"
],
"answer": "4",
"original_question_num": "65"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 21,
"question": "\u0915\u093e\u0901\u091a \u0915\u0940 \u092a\u091f\u094d\u091f\u093f\u0915\u093e \u0915\u093e \u091a\u0932-\u092e\u093e\u0907\u0915\u094d\u0930\u094b\u0938\u094d\u0915\u094b\u092a \u0926\u094d\u0935\u093e\u0930\u093e \u0905\u092a\u0935\u0930\u094d\u0924\u0928\u093e\u0902\u0915 \u0928\u093f\u0915\u093e\u0932\u0928\u0947 \u0915\u0947 \u0932\u093f\u092f\u0947 \u091c\u0930\u0942\u0930\u0940 \u092a\u0920\u0928\u093e\u0902\u0915 \u0915\u0940 \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948 :",
"options": [
"\u0926\u094b",
"\u0924\u0940\u0928",
"\u091a\u093e\u0930",
"\u092a\u093e\u0901\u091a"
],
"answer": "2",
"original_question_num": "28"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 1,
"question": "A, B, C \u0924\u0925\u093e D \u091a\u093e\u0930 \u092d\u093f\u0928\u094d\u0928 \u092e\u093e\u0924\u094d\u0930\u093e\u090f\u0901 \u0939\u0948\u0902 \u091c\u093f\u0928\u0915\u0940 \u0935\u093f\u092e\u093e\u090f\u0901 \u092d\u093f\u0928\u094d\u0928 \u0939\u0948\u0902\u0964 \u0915\u094b\u0908 \u092d\u0940 \u092e\u093e\u0924\u094d\u0930\u093e \u0935\u093f\u092e\u093e-\u0930\u0939\u093f\u0924 \u092e\u093e\u0924\u094d\u0930\u093e \u0928\u0939\u0940\u0902 \u0939\u0948, \u0932\u0947\u0915\u093f\u0928 AD = C ln(BD) \u0938\u0924\u094d\u092f \u0939\u0948\u0964 \u0924\u092c \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928-\u0938\u093e \u0906\u092f\u093e\u092e-\u0930\u0939\u093f\u0924 \u092e\u093e\u0924\u094d\u0930\u093e \u0939\u0948 ?",
"options": [
"A^2 - B^2C^2",
"(A - C) / D",
"A / B - C",
"C / BD - AD^2 / C"
],
"answer": "2",
"original_question_num": "1"
},
{
"language": "hi",
"country": "India",
"file_name": "10.04.2016-Online-Exam",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 1,
"question": "\u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 M \u0915\u093e \u090f\u0915 \u0915\u0923 \u0928\u093f\u0936\u094d\u091a\u093f\u0924 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e R \u0915\u0947 \u0935\u0943\u0924\u094d\u0924\u0940\u092f \u092a\u0925 \u092a\u0930 \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u091a\u0932 \u0930\u0939\u093e \u0939\u0948 \u0915\u093f \u0938\u092e\u092f t \u092a\u0930 \u0905\u092d\u093f\u0915\u0947\u0928\u094d\u0926\u094d\u0930\u0940\u092f \u0924\u094d\u0935\u0930\u0923 n^2 R t^2 \u0926\u094d\u0935\u093e\u0930\u093e \u0926\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948, \u091c\u0939\u093e\u0901 'n' \u0938\u094d\u0925\u093f\u0930 \u0939\u0948\u0964 \u0924\u092c \u0915\u0923 \u092a\u0930 \u0932\u0917 \u0930\u0939\u0947 \u092c\u0932 \u0926\u094d\u0935\u093e\u0930\u093e \u0909\u0938\u0915\u094b \u0926\u0940 \u0917\u0908 \u0936\u0915\u094d\u0924\u093f \u0939\u0948 :",
"options": [
"M n^2 R^2 t",
"M n R^2 t",
"M n R^2 t^2",
"1/2 M n^2 R^2 t^2"
],
"answer": "1",
"original_question_num": "2"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 38,
"question": "\u090f\u0915 \u0935\u094d\u092f\u0915\u094d\u0924\u093f \u090f\u0915 \u090a\u0930\u094d\u0927\u094d\u0935\u093e\u0927\u0930 \u0916\u0902\u092d\u0947 \u0915\u0940 \u0913\u0930 \u090f\u0915 \u0938\u0940\u0927\u0947 \u092a\u0925 \u092a\u0930 \u090f\u0915 \u0938\u092e\u093e\u0928 \u091a\u093e\u0932 \u0938\u0947 \u091c\u093e \u0930\u0939\u093e \u0939\u0948\u0964 \u0930\u093e\u0938\u094d\u0924\u0947 \u092a\u0930 \u090f\u0915 \u092c\u093f\u0902\u0926\u0941 A \u0938\u0947 \u0935\u0939 \u0916\u0902\u092d\u0947 \u0915\u0947 \u0936\u0940\u0930\u094d\u0937 \u0915\u093e \u0909\u0928\u094d\u0928\u092f\u0928 \u0915\u094b\u0923 30\u00b0 \u092a\u093e\u0924\u093e \u0939\u0948\u0964 A \u0938\u0947 \u0909\u0938\u0940 \u0926\u093f\u0936\u093e \u092e\u0947\u0902 10 \u092e\u093f\u0928\u091f \u0914\u0930 \u091a\u0932\u0928\u0947 \u0915\u0947 \u092c\u093e\u0926 \u092c\u093f\u0902\u0926\u0941 B \u0938\u0947 \u0935\u0939 \u0916\u0902\u092d\u0947 \u0915\u0947 \u0936\u0940\u0930\u094d\u0937 \u0915\u093e \u0909\u0928\u094d\u0928\u092f\u0928 \u0915\u094b\u0923 60\u00b0 \u092a\u093e\u0924\u093e \u0939\u0948, \u0924\u094b B \u0938\u0947 \u0916\u0902\u092d\u0947 \u0924\u0915 \u092a\u0939\u0941\u0901\u091a\u0928\u0947 \u092e\u0947\u0902 \u0909\u0938\u0947 \u0932\u0917\u0928\u0947 \u0935\u093e\u0932\u093e \u0938\u092e\u092f (\u092e\u093f\u0928\u091f\u094b\u0902 \u092e\u0947\u0902) \u0939\u0948 :",
"options": [
"6",
"10",
"20",
"5"
],
"answer": "4",
"original_question_num": "89"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "computer concepts",
"category_original_lang": "\u0915\u0902\u092a\u094d\u092f\u0942\u091f\u0930 \u0905\u0935\u0927\u093e\u0930\u0923\u093e\u090f\u0901",
"page_num": 38,
"question": "\u092c\u0942\u0932\u093f\u092f\u0928 \u0915\u0947 \u0935\u094d\u092f\u0902\u091c\u0915 (Boolean Expression) (p\u2227\u223cq)\u2228q\u2228(\u223cp\u2227q) \u0915\u093e \u0938\u092e\u0924\u0941\u0932\u094d\u092f \u0939\u0948 :",
"options": [
"\u223cp\u2227q",
"p\u2227q",
"p\u2228q",
"p\u2228\u223cq"
],
"answer": "3",
"original_question_num": "90"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 14,
"question": "\u0938\u0939\u0940 \u0915\u0925\u0928 \u091a\u0941\u0928\u093f\u090f :",
"options": [
"\u0906\u092f\u093e\u092e \u092e\u093e\u0921\u0941\u0932\u0928 \u092e\u0947\u0902 \u0909\u091a\u094d\u091a \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u0915\u0940 \u0935\u093e\u0939\u0915 \u0924\u0930\u0902\u0917 \u0915\u0947 \u0906\u092f\u093e\u092e \u092e\u0947\u0902 \u092c\u0926\u0932\u093e\u0935 \u0927\u094d\u0935\u0928\u093f \u0938\u0902\u0915\u0947\u0924 \u0915\u0947 \u0906\u092f\u093e\u092e \u0915\u0947 \u0905\u0928\u0941\u092a\u093e\u0924\u0940 \u0939\u0948\u0964",
"\u0906\u092f\u093e\u092e \u092e\u093e\u0921\u0941\u0932\u0928 \u092e\u0947\u0902 \u0909\u091a\u094d\u091a \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u0915\u0940 \u0935\u093e\u0939\u0915 \u0924\u0930\u0902\u0917 \u0915\u0940 \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u092e\u0947\u0902 \u092c\u0926\u0932\u093e\u0935 \u0927\u094d\u0935\u0928\u093f \u0938\u0902\u0915\u0947\u0924 \u0915\u0947 \u0906\u092f\u093e\u092e \u0915\u0947 \u0905\u0928\u0941\u092a\u093e\u0924\u0940 \u0939\u0948\u0964",
"\u0906\u0935\u0943\u0924\u094d\u0924\u093f \u092e\u093e\u0921\u0941\u0932\u0928 \u092e\u0947\u0902 \u0909\u091a\u094d\u091a \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u0915\u0940 \u0935\u093e\u0939\u0915 \u0924\u0930\u0902\u0917 \u0915\u0947 \u0906\u092f\u093e\u092e \u092e\u0947\u0902 \u092c\u0926\u0932\u093e\u0935 \u0927\u094d\u0935\u0928\u093f \u0938\u0902\u0915\u0947\u0924 \u0915\u0947 \u0906\u092f\u093e\u092e \u0915\u0947 \u0905\u0928\u0941\u092a\u093e\u0924\u0940 \u0939\u0948\u0964",
"\u0906\u0935\u0943\u0924\u094d\u0924\u093f \u092e\u093e\u0921\u0941\u0932\u0928 \u092e\u0947\u0902 \u0909\u091a\u094d\u091a \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u0915\u0940 \u0935\u093e\u0939\u0915 \u0924\u0930\u0902\u0917 \u0915\u0940 \u0906\u092f\u093e\u092e \u092e\u0947\u0902 \u092c\u0926\u0932\u093e\u0935 \u0927\u094d\u0935\u0928\u093f \u0938\u0902\u0915\u0947\u0924 \u0915\u0940 \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u0915\u0947 \u0905\u0928\u0941\u092a\u093e\u0924\u0940 \u0939\u0948\u0964"
],
"answer": "1",
"original_question_num": "24"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 14,
"question": "\u090f\u0915 \u0938\u094d\u0915\u094d\u0930\u0942-\u0917\u0947\u091c \u0915\u093e \u092a\u093f\u091a 0.5 mm \u0939\u0948 \u0914\u0930 \u0907\u0938\u0915\u0947 \u0935\u0943\u0924\u094d\u0924\u0940\u092f-\u0938\u094d\u0915\u0947\u0932 \u092a\u0930 50 \u092d\u093e\u0917 \u0939\u0948\u0902\u0964 \u0907\u0938\u0915\u0947 \u0926\u094d\u0935\u093e\u0930\u093e \u090f\u0915 \u092a\u0924\u0932\u0940 \u0905\u0932\u0941\u092e\u093f\u0928\u093f\u092f\u092e \u0936\u0940\u091f \u0915\u0940 \u092e\u094b\u091f\u093e\u0908 \u092e\u093e\u092a\u0940 \u0917\u0908\u0964 \u092e\u093e\u092a \u0938\u0947 \u092a\u0942\u0930\u094d\u0935 \u092f\u0939 \u092a\u093e\u092f\u093e \u0917\u092f\u093e \u0915\u093f \u091c\u092c \u0938\u094d\u0915\u094d\u0930\u0942-\u0917\u0947\u091c \u0915\u0947 \u0926\u094b \u091c\u092c\u0921\u093c\u094b\u0902 \u0915\u094b \u0938\u092e\u094d\u092a\u0930\u094d\u0915 \u092e\u0947\u0902 \u0932\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0924\u092c 45 \u0935\u093e\u0902 \u092d\u093e\u0917 \u092e\u0941\u0916\u094d\u092f \u0938\u094d\u0915\u0947\u0932 \u0932\u093e\u0907\u0928 \u0915\u0947 \u0938\u092e\u094d\u092a\u093e\u0924\u0940 \u0939\u094b\u0924\u093e \u0939\u0948 \u0914\u0930 \u092e\u0941\u0916\u094d\u092f \u0938\u094d\u0915\u0947\u0932 \u0915\u093e \u0936\u0942\u0928\u094d\u092f (0) \u092e\u0941\u0936\u094d\u0915\u093f\u0932 \u0938\u0947 \u0926\u093f\u0916\u0924\u093e \u0939\u0948\u0964 \u092e\u0941\u0916\u094d\u092f \u0938\u094d\u0915\u0947\u0932 \u0915\u093e \u092a\u093e\u0920\u093e\u0902\u0915 \u092f\u0926\u093f 0.5 mm \u0924\u0925\u093e 25 \u0935\u093e\u0902 \u092d\u093e\u0917 \u092e\u0941\u0916\u094d\u092f \u0938\u094d\u0915\u0947\u0932 \u0932\u093e\u0907\u0928 \u0915\u0947 \u0938\u092e\u094d\u092a\u093e\u0924\u0940 \u0939\u094b, \u0924\u094b \u0936\u0940\u091f \u0915\u0940 \u092e\u094b\u091f\u093e\u0908 \u0915\u094d\u092f\u093e \u0939\u094b\u0917\u0940 ?",
"options": [
"0.75 mm",
"0.80 mm",
"0.70 mm",
"0.50 mm"
],
"answer": "2",
"original_question_num": "25"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 34,
"question": "\u092f\u0926\u093f \u090f\u0915 \u0935\u0915\u094d\u0930 y=f(x) \u092c\u093f\u0902\u0926\u0941 (1, -1) \u0938\u0947 \u0939\u094b\u0915\u0930 \u091c\u093e\u0924\u093e \u0939\u0948 \u0924\u0925\u093e \u0905\u0935\u0915\u0932 \u0938\u092e\u0940\u0915\u0930\u0923 y(1 + xy) dx = x dy \u0915\u094b \u0938\u0902\u0924\u0941\u0937\u094d\u091f \u0915\u0930\u0924\u093e \u0939\u0948, \u0924\u094b f(-1/2) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"-2/5",
"-4/5",
"2/5",
"4/5"
],
"answer": "4",
"original_question_num": "77"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 34,
"question": "\u092f\u0926\u093f \u090f\u0915 \u0938\u092e\u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0915\u0940 \u0926\u094b \u092d\u0941\u091c\u093e\u090f\u0901 \u0930\u0947\u0916\u093e\u090f\u0901 x - y + 1 = 0 \u0924\u0925\u093e 7x - y - 5 = 0 \u0915\u0940 \u0926\u093f\u0936\u093e \u092e\u0947\u0902 \u0939\u0948\u0902 \u0924\u0925\u093e \u0907\u0938\u0915\u0947 \u0935\u093f\u0915\u0930\u094d\u0923 \u092c\u093f\u0902\u0926\u0941 (-1, -2) \u092a\u0930 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902, \u0924\u094b \u0907\u0938 \u0938\u092e\u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0915\u093e \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928-\u0938\u093e \u0936\u0940\u0930\u094d\u0937 \u0939\u0948 ?",
"options": [
"(-3, -9)",
"(-3, -8)",
"(1/3, -8/3)",
"(-10/3, -7/3)"
],
"answer": "3",
"original_question_num": "78"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 34,
"question": "\u0909\u0928 \u0935\u0943\u0924\u094d\u0924\u094b\u0902 \u0915\u0947 \u0915\u0947\u0902\u0926\u094d\u0930, \u091c\u094b \u0935\u0943\u0924\u094d\u0924 x^2 + y^2 - 8x - 8y - 4 = 0 \u0915\u094b \u092c\u093e\u0939\u094d\u092f \u0930\u0942\u092a \u0938\u0947 \u0938\u094d\u092a\u0930\u094d\u0936 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902 \u0924\u0925\u093e x-\u0905\u0915\u094d\u0937 \u0915\u094b \u092d\u0940 \u0938\u094d\u092a\u0930\u094d\u0936 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902, \u0938\u094d\u0925\u093f\u0924 \u0939\u0948\u0902 :",
"options": [
"\u090f\u0915 \u0935\u0943\u0924\u094d\u0924 \u092a\u0930\u0964",
"\u090f\u0915 \u0926\u0940\u0930\u094d\u0918\u0935\u0943\u0924\u094d\u0924 \u092a\u0930 \u091c\u094b \u0935\u0943\u0924\u094d\u0924 \u0928\u0939\u0940\u0902 \u0939\u0948\u0964",
"\u090f\u0915 \u0905\u0924\u093f\u092a\u0930\u0935\u0932\u092f \u092a\u0930\u0964",
"\u090f\u0915 \u092a\u0930\u0935\u0932\u092f \u092a\u0930\u0964"
],
"answer": "4",
"original_question_num": "79"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 22,
"question": "\u0924\u0924\u094d \u0924\u0925\u093e \u0938\u093e\u0928\u094d\u0926\u094d\u0930 \u0928\u093e\u0907\u091f\u094d\u0930\u093f\u0915 \u0905\u092e\u094d\u0932 \u0915\u0947 \u0938\u093e\u0925 \u091c\u093f\u0902\u0915 \u0915\u0940 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0926\u094d\u0935\u093e\u0930\u093e \u0915\u094d\u0930\u092e\u0936\u0903 \u0909\u0924\u094d\u092a\u0928\u094d\u0928 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902 :",
"options": [
"N\u2082O \u0924\u0925\u093e NO\u2082",
"NO\u2082 \u0924\u0925\u093e NO",
"NO \u0924\u0925\u093e N\u2082O",
"NO\u2082 \u0924\u0925\u093e N\u2082O"
],
"answer": "1",
"original_question_num": "45"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 22,
"question": "\u0935\u0939 \u092f\u0941\u0917\u094d\u092e \u091c\u093f\u0938\u092e\u0947\u0902 \u092b\u093e\u0938\u094d\u092b\u094b\u0930\u0938 \u092a\u0930\u092e\u093e\u0923\u0941\u0913\u0902 \u0915\u0940 \u0914\u092a\u091a\u093e\u0930\u093f\u0915 \u0911\u0915\u094d\u0938\u0940\u0915\u0930\u0923 \u0905\u0935\u0938\u094d\u0925\u093e +3 \u0939\u0948, \u0939\u0948 :",
"options": [
"\u0911\u0930\u094d\u0925\u094b\u092b\u0949\u0938\u094d\u092b\u094b\u0930\u0938 \u0924\u0925\u093e \u092a\u093e\u092f\u0930\u094b\u092b\u0949\u0938\u094d\u092b\u094b\u0930\u0938 \u0905\u092e\u094d\u0932",
"\u092a\u093e\u092f\u0930\u094b\u092b\u0949\u0938\u094d\u092b\u094b\u0930\u0938 \u0924\u0925\u093e \u0939\u093e\u0907\u092a\u094b\u092b\u0949\u0938\u094d\u092b\u094b\u0930\u093f\u0915 \u0905\u092e\u094d\u0932",
"\u0911\u0930\u094d\u0925\u094b\u092b\u0949\u0938\u094d\u092b\u094b\u0930\u0938 \u0924\u0925\u093e \u0939\u093e\u0907\u092a\u094b\u092b\u0949\u0938\u094d\u092b\u094b\u0930\u093f\u0915 \u0905\u092e\u094d\u0932",
"\u092a\u093e\u092f\u0930\u094b\u092b\u0949\u0938\u094d\u092b\u094b\u0930\u0938 \u0924\u0925\u093e \u092a\u093e\u092f\u0930\u094b\u092b\u0949\u0938\u094d\u092b\u094b\u0930\u093f\u0915 \u0905\u092e\u094d\u0932"
],
"answer": "1",
"original_question_num": "46"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 22,
"question": "\u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928 \u0938\u093e \u092f\u094c\u0917\u093f\u0915 \u0927\u093e\u0924\u094d\u0935\u093f\u0915 \u0924\u0925\u093e \u092b\u0947\u0930\u0947\u092e\u0948\u0917\u094d\u0928\u0947\u091f\u093f\u0915 (\u0932\u094b\u0939 \u091a\u0941\u0902\u092c\u0915\u0940\u092f) \u0939\u0948 ?",
"options": [
"TiO\u2082",
"CrO\u2082",
"VO\u2082",
"MnO\u2082"
],
"answer": "2",
"original_question_num": "47"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 18,
"question": "\u090f\u0915 \u0917\u0930\u094d\u092e \u092b\u093f\u0932\u093e\u092e\u0947\u0902\u091f \u0938\u0947 \u0928\u093f\u0915\u0932\u0940 \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928\u094b\u0902 \u0927\u093e\u0930\u093e \u0915\u094b V esu \u0915\u0947 \u0935\u093f\u092d\u0935\u093e\u0928\u094d\u0924\u0930 \u092a\u0930 \u0930\u0916\u0947 \u0926\u094b \u0906\u0935\u0947\u0936\u093f\u0924 \u092a\u094d\u0932\u0947\u091f\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u092e\u0947\u0902 \u092d\u0947\u091c\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u092f\u0926\u093f \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928 \u0915\u0947 \u0906\u0935\u0947\u0936 \u0924\u0925\u093e \u0938\u0902\u0939\u0924\u093f \u0915\u094d\u0930\u092e\u0936\u0903 e \u0924\u0925\u093e m \u0939\u094b\u0902 \u0924\u094b h/\u03bb \u0915\u093e \u092e\u093e\u0928 \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u093f\u0938\u0915\u0947 \u0926\u094d\u0935\u093e\u0930\u093e \u0926\u093f\u092f\u093e \u091c\u093e\u092f\u0947\u0917\u093e? (\u091c\u0939\u093e\u0901 \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928 \u0924\u0930\u0902\u0917 \u0938\u0947 \u0938\u092e\u094d\u092c\u0902\u0927\u093f\u0924 \u0924\u0930\u0902\u0917\u0926\u0948\u0930\u094d\u0927\u094d\u092f \u03bb \u0939\u0948)",
"options": [
"meV",
"2meV",
"\u221ameV",
"\u221a2meV"
],
"answer": "4",
"original_question_num": "33"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 18,
"question": "\u0935\u0939 \u0938\u094d\u092a\u0940\u0936\u0940\u091c\u093c, \u091c\u093f\u0938\u092e\u0947\u0902 N \u092a\u0930\u092e\u093e\u0923\u0941 sp \u0938\u0902\u0915\u0930\u0923 \u0915\u0940 \u0905\u0935\u0938\u094d\u0925\u093e \u092e\u0947\u0902 \u0939\u0948, \u0939\u094b\u0917\u0940 :",
"options": [
"NO2+",
"NO2-",
"NO3-",
"NO2"
],
"answer": "1",
"original_question_num": "34"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 18,
"question": "\u0915\u093e\u0930\u094d\u092c\u0928 \u0924\u0925\u093e \u0915\u093e\u0930\u094d\u092c\u0928 \u092e\u094b\u0928\u094b\u0911\u0915\u094d\u0938\u093e\u0907\u0921 \u0915\u0940 \u0926\u0939\u0928 \u090a\u0937\u094d\u092e\u093e\u092f\u0947\u0902 \u0915\u094d\u0930\u092e\u0936\u0903 -393.5 \u0924\u0925\u093e -283.5 kJ mol-1 \u0939\u0948\u0902\u0964 \u0915\u093e\u0930\u094d\u092c\u0928 \u092e\u094b\u0928\u094b\u0911\u0915\u094d\u0938\u093e\u0907\u0921 \u0915\u0940 \u0938\u0902\u0937\u094d\u0932\u0947\u0937\u0923 \u090a\u0937\u094d\u092e\u093e (kJ \u092e\u0947\u0902) \u092a\u094d\u0930\u0924\u093f \u092e\u094b\u0932 \u0939\u094b\u0917\u0940 :",
"options": [
"110.5",
"676.5",
"-676.5",
"-110.5"
],
"answer": "4",
"original_question_num": "35"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 19,
"question": "18 g \u0917\u094d\u0932\u0942\u0915\u094b\u0938 (C\u2086H\u2081\u2082O\u2086) \u0915\u094b 178.2 g \u092a\u093e\u0928\u0940 \u092e\u0947\u0902 \u092e\u093f\u0932\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0907\u0938 \u091c\u0932\u0940\u092f \u0935\u093f\u0932\u092f\u0928 \u0915\u0947 \u0932\u093f\u090f \u091c\u0932 \u0915\u093e \u0935\u093e\u0937\u094d\u092a \u0926\u093e\u092c (torr \u092e\u0947\u0902) \u0939\u094b\u0917\u093e :",
"options": [
"7.6",
"76.0",
"752.4",
"759.0"
],
"answer": "3",
"original_question_num": "36"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 19,
"question": "\u0924\u093e\u092a\u092e\u093e\u0928 298 K \u092a\u0930, \u090f\u0915 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e A + B \u21cc C + D \u0915\u0947 \u0932\u093f\u090f \u0938\u093e\u092e\u094d\u092f\u093e\u0902\u0915 \u0938\u094d\u0925\u093f\u0930\u093e\u0902\u0915 100 \u0939\u0948\u0964 \u092f\u0926\u093f \u092a\u094d\u0930\u093e\u0930\u0902\u092d\u093f\u0915 \u0938\u093e\u0902\u0926\u094d\u0930\u0924\u093e \u0938\u092d\u0940 \u091a\u093e\u0930\u094b\u0902 \u092a\u094d\u0930\u091c\u093e\u0924\u093f\u092f\u094b\u0902 \u092e\u0947\u0902 \u0938\u0947 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0915\u0940 1 M \u0939\u094b\u0924\u0940, \u0924\u094b D \u0915\u0940 \u0938\u093e\u092e\u094d\u092f \u0938\u093e\u0902\u0926\u094d\u0930\u0924\u093e (mol L\u207b\u00b9 \u092e\u0947\u0902) \u0939\u094b\u0917\u0940 :",
"options": [
"0.182",
"0.818",
"1.818",
"1.182"
],
"answer": "3",
"original_question_num": "37"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 19,
"question": "\u0917\u0948\u0932\u094d\u0935\u0928\u093e\u0907\u091c\u0947\u0936\u0928 \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u093f\u0938\u0915\u0947 \u0915\u094b\u091f \u0938\u0947 \u0939\u094b\u0924\u093e \u0939\u0948 ?",
"options": [
"Pb",
"Cr",
"Cu",
"Zn"
],
"answer": "4",
"original_question_num": "38"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 23,
"question": "\u090f\u0915\u0939\u0940 \u091a\u0941\u0902\u092c\u0915\u0940\u092f \u0906\u0918\u0942\u0930\u094d\u0923 \u0915\u093e \u092f\u0941\u0917\u094d\u092e \u0939\u0948 :",
"options": [
"[Cr(H\u2082O)\u2086]\u00b2\u207a \u0924\u0925\u093e [CoCl\u2084]\u00b2\u207b",
"[Cr(H\u2082O)\u2086]\u00b2\u207a \u0924\u0925\u093e [Fe(H\u2082O)\u2086]\u00b2\u207a",
"[Mn(H\u2082O)\u2086]\u00b2\u207a \u0924\u0925\u093e [Cr(H\u2082O)\u2086]\u00b2\u207a",
"[CoCl\u2084]\u00b2\u207b \u0924\u0925\u093e [Fe(H\u2082O)\u2086]\u00b2\u207a"
],
"answer": "2",
"original_question_num": "48"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 23,
"question": "\u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928 \u0938\u093e \u0915\u0949\u092e\u094d\u092a\u094d\u0932\u0947\u0915\u094d\u0938 \u092a\u094d\u0930\u0915\u093e\u0936\u0940\u092f \u0938\u092e\u093e\u0935\u092f\u0935\u0924\u093e \u092a\u094d\u0930\u0926\u0930\u094d\u0936\u093f\u0924 \u0915\u0930\u0947\u0917\u093e ?",
"options": [
"[Co(NH\u2083)\u2083Cl\u2083]",
"cis[Co(en)\u2082Cl\u2082]Cl",
"trans[Co(en)\u2082Cl\u2082]Cl",
"[Co(NH\u2083)\u2084Cl\u2082]Cl"
],
"answer": "2",
"original_question_num": "49"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 23,
"question": "\u092d\u0942\u092e\u093f\u0917\u0924 \u091d\u0940\u0932 \u0938\u0947 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u091c\u0932 \u092a\u094d\u0930\u0924\u093f\u0930\u0942\u092a\u094b\u0902 \u092e\u0947\u0902 \u092b\u094d\u0932\u094b\u0930\u093e\u0907\u0921, \u0932\u0947\u0921, \u0928\u093e\u0907\u091f\u094d\u0930\u0947\u091f \u0924\u0925\u093e \u0906\u092f\u0930\u0928 \u0915\u0940 \u0938\u093e\u0928\u094d\u0926\u094d\u0930\u0924\u093e \u0915\u094d\u0930\u092e\u0936\u0903 1000 ppb, 40 ppb, 100 ppm \u0924\u0925\u093e 0.2 ppm \u092a\u093e\u0908 \u0917\u0908 \u0964 \u092f\u0939 \u091c\u0932 \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u093f\u0938\u0915\u0940 \u0909\u091a\u094d\u091a \u0938\u093e\u0928\u094d\u0926\u094d\u0930\u0924\u093e \u0938\u0947 \u092a\u0940\u0928\u0947 \u092f\u094b\u0917\u094d\u092f \u0928\u0939\u0940\u0902 \u0939\u0948 ?",
"options": [
"\u092b\u094d\u0932\u094b\u0930\u093e\u0907\u0921",
"\u0932\u0947\u0921",
"\u0928\u093e\u0907\u091f\u094d\u0930\u0947\u091f",
"\u0906\u092f\u0930\u0928"
],
"answer": "3",
"original_question_num": "50"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 35,
"question": "\u092f\u0926\u093f \u0938\u092e\u0940\u0915\u0930\u0923 \\(x^2 + y^2 - 4x + 6y - 12 = 0\\) \u0926\u094d\u0935\u093e\u0930\u093e \u092a\u094d\u0930\u0926\u0924\u094d\u0924 \u090f\u0915 \u0935\u0943\u0924\u094d\u0924 \u0915\u093e \u090f\u0915 \u0935\u094d\u092f\u093e\u0938 \u090f\u0915 \u0905\u0928\u094d\u092f \u0935\u0943\u0924\u094d\u0924 S, \u091c\u093f\u0938\u0915\u093e \u0915\u0947\u0902\u0926\u094d\u0930 (-3, 2) \u0939\u0948, \u0915\u0940 \u091c\u0940\u0935 \u0939\u0948, \u0924\u094b \u0935\u0943\u0924\u094d\u0924 S \u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e \u0939\u0948 :",
"options": [
"\\(5\\sqrt{2}\\)",
"\\(5\\sqrt{3}\\)",
"5",
"10"
],
"answer": "2",
"original_question_num": "80"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 35,
"question": "\u092e\u093e\u0928 \u0932\u0940\u091c\u093f\u090f \u092a\u0930\u0935\u0932\u092f \\(y^2 = 8x\\) \u0915\u093e P \u090f\u0915 \u0910\u0938\u093e \u092c\u093f\u0902\u0926\u0941 \u0939\u0948 \u091c\u094b \u0935\u0943\u0924\u094d\u0924 \\(x^2 + (y + 6)^2 = 1\\), \u0915\u0947 \u0915\u0947\u0902\u0926\u094d\u0930 C \u0938\u0947 \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0926\u0942\u0930\u0940 \u092a\u0930 \u0939\u0948, \u0924\u094b \u0909\u0938 \u0935\u0943\u0924\u094d\u0924 \u0915\u093e \u0938\u092e\u0940\u0915\u0930\u0923 \u091c\u094b C \u0938\u0947 \u0939\u094b\u0915\u0930 \u091c\u093e\u0924\u093e \u0939\u0948 \u0924\u0925\u093e \u091c\u093f\u0938\u0915\u093e \u0915\u0947\u0902\u0926\u094d\u0930 P \u092a\u0930 \u0939\u0948, \u0939\u0948 :",
"options": [
"\\(x^2 + y^2 - 4x + 8y + 12 = 0\\)",
"\\(x^2 + y^2 - x + 4y - 12 = 0\\)",
"\\(x^2 + y^2 - \\frac{x}{4} + 2y - 24 = 0\\)",
"\\(x^2 + y^2 - 4x + 9y + 18 = 0\\)"
],
"answer": "1",
"original_question_num": "81"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 35,
"question": "\u0909\u0938 \u0905\u0935\u0924\u0932\u092a\u0930\u0935\u0932\u092f, \u091c\u093f\u0938\u0915\u0947 \u0932\u092e\u094d\u092c\u0935\u0943\u0924\u094d\u0924 \u0915\u0940 \u0932\u0902\u092c\u093e\u0908 8 \u0939\u0948 \u0924\u0925\u093e \u091c\u093f\u0938\u0915\u0947 \u0938\u0902\u092f\u0941\u0917\u094d\u092e\u0940 \u0905\u0915\u094d\u0937 \u0915\u0940 \u0932\u0902\u092c\u093e\u0908 \u0909\u0938\u0915\u0940 \u0928\u093e\u092d\u093f\u092f\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0915\u0940 \u0926\u0942\u0930\u0940 \u0915\u0940 \u0906\u0927\u0940 \u0939\u0948, \u0915\u0940 \u0909\u0924\u094d\u0915\u0947\u0928\u094d\u0926\u094d\u0930\u0924\u093e \u0939\u0948 :",
"options": [
"\\(\\frac{4}{3}\\)",
"\\(\\frac{4}{\\sqrt{3}}\\)",
"\\(\\frac{2}{\\sqrt{3}}\\)",
"\\(\\sqrt{3}\\)"
],
"answer": "3",
"original_question_num": "82"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 15,
"question": "\u0926\u094b\u0928\u094b\u0902 \u0938\u093f\u0930\u094b\u0902 \u092a\u0930 \u0916\u0941\u0932\u0947 \u090f\u0915 \u092a\u093e\u0907\u092a \u0915\u0940 \u0935\u093e\u092f\u0941 \u092e\u0947\u0902 \u092e\u0942\u0932-\u0906\u0935\u0943\u0924\u094d\u0924\u093f f \u0939\u0948\u0964 \u092a\u093e\u0907\u092a \u0915\u094b \u090a\u0930\u094d\u0927\u094d\u0935\u093e\u0927\u0930 \u0909\u0938\u0915\u0940 \u0906\u0927\u0940-\u0932\u0902\u092c\u093e\u0908 \u0924\u0915 \u092a\u093e\u0928\u0940 \u092e\u0947\u0902 \u0921\u0941\u092c\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0924\u092c \u0907\u0938\u092e\u0947\u0902 \u092c\u091a\u0947 \u0935\u093e\u092f\u0941-\u0915\u093e\u0932\u092e \u0915\u0940 \u092e\u0942\u0932 \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u0939\u094b\u0917\u0940 :",
"options": [
"f/2",
"3f/4",
"2f",
"f"
],
"answer": "4",
"original_question_num": "26"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 15,
"question": "\u090f\u0915 \u0917\u0948\u0932\u094d\u0935\u0947\u0928\u094b\u092e\u0940\u091f\u0930 \u0915\u0947 \u0915\u093e\u0907\u0932 \u0915\u093e \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927 100 \u03a9 \u0939\u0948\u0964 1 mA \u0927\u093e\u0930\u093e \u092a\u094d\u0930\u0935\u093e\u0939\u093f\u0924 \u0915\u0930\u0928\u0947 \u092a\u0930 \u0907\u0938\u092e\u0947\u0902 \u092a\u0942\u0930\u094d\u0923-\u0938\u094d\u0915\u0947\u0932 \u0935\u093f\u091a\u0932\u0928 \u092e\u093f\u0932\u0924\u093e \u0939\u0948\u0964 \u0907\u0938 \u0917\u0948\u0932\u094d\u0935\u0947\u0928\u094b\u092e\u0940\u091f\u0930 \u0915\u094b 10 A \u0915\u0947 \u092a\u093e\u0930\u093f\u0924\u094b\u0937 \u092e\u0947\u0902 \u092c\u0926\u0932\u0928\u0947 \u0915\u0947 \u0932\u093f\u092f\u0947 \u091c\u094b \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927 \u0932\u0917\u093e\u0928\u093e \u0939\u094b\u0917\u093e \u0935\u0939 \u0939\u0948 :",
"options": [
"0.01 \u03a9",
"2 \u03a9",
"0.1 \u03a9",
"3 \u03a9"
],
"answer": "1",
"original_question_num": "27"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 15,
"question": "\u090f\u0915 \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u0930\u0915\u0947 \u0924\u0925\u093e i \u2013 \u03b4 \u0917\u094d\u0930\u093e\u092b \u092c\u0928\u093e\u0915\u0930 \u090f\u0915 \u0915\u093e\u0901\u091a \u0938\u0947 \u092c\u0928\u0947 \u092a\u094d\u0930\u093f\u091c\u094d\u092e \u0915\u093e \u0905\u092a\u0935\u0930\u094d\u0924\u0928\u093e\u0902\u0915 \u0928\u093f\u0915\u093e\u0932\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u091c\u092c \u090f\u0915 \u0915\u093f\u0930\u0923 \u0915\u094b 35\u00b0 \u092a\u0930 \u0906\u092a\u0924\u093f\u0924 \u0915\u0930\u0928\u0947 \u092a\u0930 \u0935\u0939 40\u00b0 \u0938\u0947 \u0935\u093f\u091a\u0932\u093f\u0924 \u0939\u094b\u0924\u0940 \u0939\u0948 \u0924\u0925\u093e \u092f\u0939 79\u00b0 \u092a\u0930 \u0928\u093f\u0930\u094d\u0917\u092e \u0939\u094b\u0924\u0940 \u0939\u0948\u0964 \u0907\u0938 \u0938\u094d\u0925\u093f\u0924\u093f \u092e\u0947\u0902 \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928\u0938\u093e \u092e\u093e\u0928 \u0905\u092a\u0935\u0930\u094d\u0924\u0928\u093e\u0902\u0915 \u0915\u0947 \u0905\u0927\u093f\u0915\u0924\u092e \u092e\u093e\u0928 \u0915\u0947 \u0938\u092c\u0938\u0947 \u092a\u093e\u0938 \u0939\u0948 ?",
"options": [
"1.5",
"1.6",
"1.7",
"1.8"
],
"answer": "1",
"original_question_num": "28"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 32,
"question": "2 \u0907\u0915\u093e\u0908 \u0932\u0902\u092c\u0940 \u090f\u0915 \u0924\u093e\u0930 \u0915\u094b \u0926\u094b \u092d\u093e\u0917\u094b\u0902 \u092e\u0947\u0902 \u0915\u093e\u091f \u0915\u0930 \u0909\u0928\u094d\u0939\u0947\u0902 \u0915\u094d\u0930\u092e\u0936\u0903 r \u0907\u0915\u093e\u0908 \u0918\u0942\u092e\u093e \u0935\u093e\u0932\u0947 \u0935\u0943\u0924\u094d\u0924 \u0924\u0925\u093e r \u0907\u0915\u093e\u0908 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e \u0935\u093e\u0932\u0947 \u0935\u0943\u0924\u094d\u0924 \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u092e\u094b\u0921\u093c\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u092f\u0926\u093f \u092c\u0928\u093e\u090f \u0917\u092f\u0947 \u0935\u0930\u094d\u0917 \u0924\u0925\u093e \u0935\u0943\u0924\u094d\u0924 \u0915\u0947 \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932\u094b\u0902 \u0915\u093e \u092f\u094b\u0917 \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0939\u0948, \u0924\u094b :",
"options": [
"2x = (\u03c0 + 4)r",
"(4 - \u03c0)x = \u03c0r",
"x = 2r",
"2x = r"
],
"answer": "3",
"original_question_num": "73"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 32,
"question": "\u0938\u092e\u093e\u0915\u0932 \u222b (2x^12 + 5x^9) / (x^5 + x^3 + 1)^3 dx \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"-x^5 / (x^5 + x^3 + 1)^2 + C",
"x^10 / 2(x^5 + x^3 + 1)^2 + C",
"x^5 / 2(x^5 + x^3 + 1)^2 + C",
"-x^10 / 2(x^5 + x^3 + 1)^2 + C"
],
"answer": "2",
"original_question_num": "74"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 24,
"question": "\u0938\u093e\u092c\u0941\u0928 \u0909\u0926\u094d\u092f\u094b\u0917 \u092e\u0947\u0902 \u0917\u094d\u0932\u0940\u0938\u0930\u0940\u0928 \u0932\u093e\u0939 (\u0938\u094d\u092a\u0947\u0902\u091f \u0932\u093e\u0908) \u0938\u0947 \u0935\u093f\u0932\u0917\u0928 \u0939\u0947\u0924\u0941 \u092a\u0943\u0925\u0915 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0938\u092c\u0938\u0947 \u0909\u092a\u092f\u0941\u0915\u094d\u0924 \u0906\u0938\u0935\u0928 \u0935\u093f\u0927\u093f \u0939\u0948 :",
"options": [
"\u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0906\u0938\u0935\u0928",
"\u092a\u094d\u0930\u092d\u093e\u091c\u0940 \u0906\u0938\u0935\u0928",
"\u0935\u093e\u0937\u094d\u092a \u0906\u0938\u0935\u0928",
"\u0938\u092e\u093e\u0928\u093f\u0924 \u0926\u093e\u092c \u092a\u0930 \u0906\u0938\u0935\u0928"
],
"answer": "4",
"original_question_num": "51"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 6,
"question": "\u090f\u0915 \u0906\u0926\u0930\u094d\u0936 \u0917\u0948\u0938 \u0909\u0924\u094d\u0915\u094d\u0930\u092e\u0923\u0940\u092f \u0938\u094d\u0925\u0948\u0924\u093f\u0915-\u0915\u0932\u094d\u0935 \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e \u0938\u0947 \u0917\u0941\u095b\u0930\u0924\u0940 \u0939\u0948 \u0924\u0925\u093e \u0909\u0938\u0915\u0940 \u092e\u094b\u0932\u0930-\u090a\u0937\u094d\u092e\u093e-\u0927\u093e\u0930\u093f\u0924\u093e C \u0938\u094d\u0925\u093f\u0930 \u0930\u0939\u0924\u0940 \u0939\u0948\u0964 \u092f\u0926\u093f \u0907\u0938 \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e \u092e\u0947\u0902 \u0909\u0938\u0915\u0947 \u0926\u093e\u092c P \u0935 \u0906\u092f\u0924\u0928 V \u0915\u0947 \u092c\u0940\u091a \u0938\u0902\u092c\u0902\u0927 PV^n = constant \u0939\u0948\u0964 (C_P \u0924\u0925\u093e C_V \u0915\u094d\u0930\u092e\u0936\u0903 \u0935\u093f\u0936\u093f\u0937\u094d\u091f \u0926\u093e\u092c \u0935 \u0935\u093f\u0936\u093f\u0937\u094d\u091f \u0906\u092f\u0924\u0928 \u092a\u0930 \u090a\u0937\u094d\u092e\u093e-\u0927\u093e\u0930\u093f\u0924\u093e \u0939\u0948) \u0924\u092c 'n' \u0915\u0947 \u0932\u093f\u092f\u0947 \u0938\u092e\u0940\u0915\u0930\u0923 \u0939\u0948:",
"options": [
"n = C_P / C_V",
"n = (C - C_P) / (C - C_V)",
"n = (C_P - C) / (C - C_V)",
"n = (C - C_V) / (C - C_P)"
],
"answer": "2",
"original_question_num": "8"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 28,
"question": "\u092f\u0926\u093f f(x) + 2f(1/x) = 3x, x \u2260 0 \u0939\u0948, \u0924\u0925\u093e S = {x \u2208 R : f(x) = f(\u2212x)} \u0939\u0948; \u0924\u094b S :",
"options": [
"\u090f\u0915 \u0930\u093f\u0915\u094d\u0924 \u0938\u092e\u0941\u091a\u094d\u091a\u092f \u0939\u0948\u0964",
"\u092e\u0947\u0902 \u0915\u0947\u0935\u0932 \u090f\u0915 \u0905\u0935\u092f\u0935 \u0939\u0948\u0964",
"\u092e\u0947\u0902 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0926\u094b \u0905\u0935\u092f\u0935 \u0939\u0948\u0902\u0964",
"\u092e\u0947\u0902 \u0926\u094b \u0938\u0947 \u0905\u0927\u093f\u0915 \u0905\u0935\u092f\u0935 \u0939\u0948\u0902\u0964"
],
"answer": "3",
"original_question_num": "61"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 28,
"question": "\u03b8 \u0915\u093e \u0935\u0939 \u090f\u0915 \u092e\u093e\u0928 \u091c\u093f\u0938\u0915\u0947 \u0932\u093f\u090f (2 + 3i sin\u03b8) / (1 \u2212 2i sin\u03b8) \u092a\u0942\u0930\u094d\u0923\u0924\u0903 \u0915\u093e\u0932\u094d\u092a\u0928\u093f\u0915 \u0939\u0948, \u0939\u0948 :",
"options": [
"\u03c0/3",
"\u03c0/6",
"sin\u207b\u00b9(\u221a3/4)",
"sin\u207b\u00b9(1/\u221a3)"
],
"answer": "4",
"original_question_num": "62"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 28,
"question": "x \u0915\u0947 \u0909\u0928 \u0938\u092d\u0940 \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u092e\u093e\u0928\u094b\u0902 \u0915\u093e \u092f\u094b\u0917 \u091c\u094b \u0938\u092e\u0940\u0915\u0930\u0923 (x\u00b2 \u2212 5x + 5)\u02e3\u00b2 + 4x \u2212 60 = 1 \u0915\u094b \u0938\u0902\u0924\u0941\u0937\u094d\u091f \u0915\u0930\u0924\u0947 \u0939\u0948\u0902, \u0939\u0948 :",
"options": [
"3",
"\u22124",
"6",
"5"
],
"answer": "1",
"original_question_num": "63"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 12,
"question": "\u090f\u0915 \u092a\u093f\u0928-\u0939\u094b\u0932 \u0915\u0948\u092e\u0930\u093e \u0915\u0940 \u0932\u092e\u094d\u092c\u093e\u0908 'L' \u0939\u0948 \u0924\u0925\u093e \u091b\u093f\u0926\u094d\u0930 \u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e a \u0939\u0948\u0964 \u092f\u0939 \u092e\u093e\u0928 \u0932\u0947\u0902 \u0915\u093f \u0924\u0930\u0902\u0917\u0926\u0948\u0930\u094d\u0927\u094d\u092f \u03bb\u0935\u093e\u0932\u0947 \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u092a\u094d\u0930\u0915\u093e\u0936 \u0906\u092a\u0924\u093f\u0924 \u0939\u0948\u0964 \u091b\u093f\u0926\u094d\u0930 \u0915\u0947 \u0938\u093e\u092e\u0928\u0947 \u0935\u093e\u0932\u0940 \u0926\u0940\u0935\u093e\u0930 \u092a\u0930 \u092c\u0928\u0947 \u0938\u094d\u092a\u0949\u091f \u0915\u093e \u0935\u093f\u0938\u094d\u0924\u093e\u0930 \u091b\u093f\u0926\u094d\u0930 \u0915\u0947 \u091c\u094d\u092f\u093e\u092e\u093f\u0924\u0940\u092f \u0906\u0915\u093e\u0930 \u0924\u0925\u093e \u0935\u093f\u0935\u0930\u094d\u0924\u0928 \u0915\u0947 \u0915\u093e\u0930\u0923 \u0939\u0941\u090f \u0935\u093f\u0938\u094d\u0924\u093e\u0930 \u0915\u093e \u0915\u0941\u0932 \u092f\u094b\u0917 \u0939\u0948\u0964 \u0907\u0938 \u0938\u094d\u092a\u0949\u091f \u0915\u093e \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0906\u0915\u093e\u0930 b_min \u0924\u092c \u0939\u094b\u0917\u093e \u091c\u092c :",
"options": [
"a = \u03bb^2/L \u0924\u0925\u093e b_min = (2\u03bb^2/L)",
"a = \u221a\u03bbL \u0924\u0925\u093e b_min = (2\u03bb^2/L)",
"a = \u221a\u03bbL \u0924\u0925\u093e b_min = \u221a4\u03bbL",
"a = \u03bb^2/L \u0924\u0925\u093e b_min = \u221a4\u03bbL"
],
"answer": "3",
"original_question_num": "20"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 12,
"question": "\u090f\u0915 \u092b\u094b\u091f\u094b-\u0938\u0947\u0932 \u092a\u0930 \u03bb \u0924\u0930\u0902\u0917\u0926\u0948\u0930\u094d\u0927\u094d\u092f \u0915\u093e \u092a\u094d\u0930\u0915\u093e\u0936 \u0906\u092a\u0924\u093f\u0924 \u0939\u0948\u0964 \u0909\u0924\u094d\u0938\u0930\u094d\u091c\u093f\u0924 \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928 \u0915\u0940 \u0905\u0927\u093f\u0915\u0924\u092e \u0917\u0924\u093f 'v' \u0939\u0948\u0964 \u092f\u0926\u093f \u0924\u0930\u0902\u0917\u0926\u0948\u0930\u094d\u0927\u094d\u092f 3\u03bb/4 \u0939\u094b \u0924\u092c \u0909\u0924\u094d\u0938\u0930\u094d\u091c\u093f\u0924 \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928 \u0915\u0940 \u0905\u0927\u093f\u0915\u0924\u092e \u0917\u0924\u093f \u0939\u094b\u0917\u0940 :",
"options": [
"> v(4/3)^1/2",
"< v(4/3)^1/2",
"= v(4/3)^1/2",
"= v(3/4)^1/2"
],
"answer": "1",
"original_question_num": "21"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 13,
"question": "\u0926\u094b \u0930\u0947\u0921\u093f\u092f\u094b\u0927\u0930\u094d\u092e\u0940 \u0924\u0924\u094d\u0935 A \u0924\u0925\u093e B \u0915\u0940 \u0905\u0930\u094d\u0926\u094d\u0927\u093e\u092f\u0941 \u0915\u094d\u0930\u092e\u0936\u0903 20 min \u0924\u0925\u093e 40 min \u0939\u0948\u0902\u0964 \u092a\u094d\u0930\u093e\u0930\u0902\u092d \u092e\u0947\u0902 \u0926\u094b\u0928\u094b\u0902 \u0915\u0947 \u0928\u092e\u0942\u0928\u094b\u0902 \u092e\u0947\u0902 \u0928\u093e\u092d\u093f\u0915\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0938\u092e\u093e\u0928 \u0939\u0948\u0964 80 min \u0915\u0947 \u0909\u092a\u0930\u093e\u0902\u0924 A \u0924\u0925\u093e B \u0915\u0947 \u0915\u094d\u0937\u092f \u0939\u0941\u090f \u0928\u093e\u092d\u093f\u0915\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 \u0939\u094b\u0917\u093e :",
"options": [
"1 : 16",
"4 : 1",
"1 : 4",
"5 : 4"
],
"answer": "4",
"original_question_num": "22"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 29,
"question": "\u092f\u0926\u093f A = \\(\\begin{bmatrix} 5a & -b \\\\ 3 & 2 \\end{bmatrix}\\) \u0924\u0925\u093e A adj A = A A\u1d40 \u0939\u0948\u0902, \u0924\u094b 5a + b \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"-1",
"5",
"4",
"13"
],
"answer": "2",
"original_question_num": "64"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 29,
"question": "\u0930\u0947\u0916\u093f\u0915 \u0938\u092e\u0940\u0915\u0930\u0923 \u0928\u093f\u0915\u093e\u0932 x + \u03bby - z = 0, \u03bbx - y - z = 0, x + y - \u03bbz = 0 \u0915\u093e \u090f\u0915 \u0905\u0928\u0941\u091b\u0947\u0926 \u0939\u0932 \u0939\u094b\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f :",
"options": [
"\u03bb \u0915\u0947 \u0905\u0928\u0902\u0924 \u092e\u093e\u0928 \u0939\u0948\u0902\u0964",
"\u03bb \u0915\u093e \u0915\u0947\u0935\u0932: \u090f\u0915 \u092e\u093e\u0928 \u0939\u0948\u0964",
"\u03bb \u0915\u0947 \u0915\u0947\u0935\u0932: \u0926\u094b \u092e\u093e\u0928 \u0939\u0948\u0902\u0964",
"\u03bb \u0915\u0947 \u0915\u0947\u0935\u0932: \u0924\u0940\u0928 \u092e\u093e\u0928 \u0939\u0948\u0902\u0964"
],
"answer": "4",
"original_question_num": "65"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "reasoning",
"category_original_lang": "\u0924\u0930\u094d\u0915\u0936\u0915\u094d\u0924\u093f",
"page_num": 29,
"question": "\u0936\u092c\u094d\u0926 SMALL \u0915\u0947 \u0905\u0915\u094d\u0937\u0930\u094b\u0902 \u0915\u093e \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u0930\u0915\u0947, \u092a\u093e\u0901\u091a \u0905\u0915\u094d\u0937\u0930\u094b\u0902 \u0935\u093e\u0932\u0947 \u0938\u092d\u0940 \u0936\u092c\u094d\u0926\u094b\u0902 (\u0905\u0930\u094d\u0925\u092a\u0942\u0930\u094d\u0923 \u0905\u0925\u0935\u093e \u0905\u0930\u094d\u0925\u0939\u0940\u0928) \u0915\u094b \u0936\u092c\u094d\u0926\u0915\u094b\u0936 \u0915\u0947 \u0915\u094d\u0930\u092e\u093e\u0928\u0941\u0938\u093e\u0930 \u0930\u0916\u0928\u0947 \u092a\u0930, \u0936\u092c\u094d\u0926 SMALL \u0915\u093e \u0938\u094d\u0925\u093e\u0928 \u0939\u0948 :",
"options": [
"46 \u0935\u093e\u0902",
"59 \u0935\u093e\u0902",
"52 \u0935\u093e\u0902",
"58 \u0935\u093e\u0902"
],
"answer": "4",
"original_question_num": "66"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 7,
"question": "\u090f\u0915 \u0915\u0923 'A' \u0906\u092f\u093e\u092e \u0938\u0947 \u0938\u0930\u0932-\u0906\u0935\u0930\u094d\u0924 \u0926\u094b\u0932\u0928 \u0915\u0930 \u0930\u0939\u093e \u0939\u0948\u0964 \u091c\u092c \u092f\u0939 \u0905\u092a\u0928\u0947 \u092e\u0942\u0932-\u0938\u094d\u0925\u093e\u0928 \u0938\u0947 \\(\\frac{2A}{3}\\) \u092a\u0930 \u092a\u0939\u0941\u0901\u091a\u0924\u093e \u0939\u0948 \u0924\u092c \u0905\u091a\u093e\u0928\u0915 \u0907\u0938\u0915\u0940 \u0917\u0924\u093f \u0924\u093f\u0917\u0941\u0928\u0940 \u0915\u0930 \u0926\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948\u0964 \u0924\u092c \u0907\u0938\u0915\u093e \u0928\u092f\u093e \u0906\u092f\u093e\u092e \u0939\u0948 :",
"options": [
"\\(\\frac{A}{3}\\sqrt{41}\\)",
"3A",
"\\(A\\sqrt{3}\\)",
"\\(\\frac{7A}{3}\\)"
],
"answer": "4",
"original_question_num": "10"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 7,
"question": "20 m \u0932\u092e\u094d\u092c\u093e\u0908 \u0915\u0940 \u090f\u0915\u0938\u092e\u093e\u0928 \u0921\u094b\u0930\u0940 \u0915\u094b \u090f\u0915 \u0926\u0943\u0922\u093c \u0906\u0927\u093e\u0930 \u0938\u0947 \u0932\u091f\u0915\u093e\u092f\u093e \u0917\u092f\u093e \u0939\u0948\u0964 \u0907\u0938\u0915\u0947 \u0928\u093f\u091a\u0932\u0947 \u0938\u093f\u0930\u0947 \u0938\u0947 \u090f\u0915 \u0938\u0942\u0915\u094d\u0937\u094d\u092e \u0924\u0930\u0902\u0917-\u0938\u094d\u092a\u0902\u0926 \u091a\u093e\u0932\u093f\u0924 \u0939\u094b\u0924\u093e \u0939\u0948\u0964 \u090a\u092a\u0930 \u0906\u0927\u093e\u0930 \u0924\u0915 \u092a\u0939\u0941\u0901\u091a\u0928\u0947 \u092e\u0947\u0902 \u0932\u0917\u0928\u0947 \u0935\u093e\u0932\u093e \u0938\u092e\u092f \u0939\u0948 : (g = 10 ms\\(^{-2}\\) \u0932\u0947\u0902)",
"options": [
"\\(2\\pi\\sqrt{2}\\) s",
"2 s",
"\\(2\\sqrt{2}\\) s",
"\\(\\sqrt{2}\\) s"
],
"answer": "3",
"original_question_num": "11"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 33,
"question": "lim n\u2192\u221e ((n + 1) (n + 2) ... 3n / n^2n)^(1/n) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"18 / e^4",
"27 / e^2",
"9 / e^2",
"3 log3 - 2"
],
"answer": "2",
"original_question_num": "75"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 33,
"question": "\u0915\u094d\u0937\u0947\u0924\u094d\u0930 {(x, y): y^2 \u2265 2x \u0924\u0925\u093e x^2 + y^2 \u2264 4x, x \u2265 0, y \u2265 0} \u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 (\u0935\u0930\u094d\u0917 \u0907\u0915\u093e\u0907\u092f\u094b\u0902 \u092e\u0947\u0902) \u0939\u0948 :",
"options": [
"\u03c0 - 4/3",
"\u03c0 - 8/3",
"\u03c0 - 4\u221a2/3",
"\u03c0/2 - 2\u221a2/3"
],
"answer": "2",
"original_question_num": "76"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 4,
"question": "\u090f\u0915 \u092d\u093e\u0930\u094b\u0924\u094d\u0924\u094b\u0932\u0915 \u092d\u093e\u0930 \u0915\u094b \u092a\u0939\u0932\u0947 \u090a\u092a\u0930 \u0914\u0930 \u092b\u093f\u0930 \u0928\u0940\u091a\u0947 \u0924\u0915 \u0932\u093e\u0924\u093e \u0939\u0948\u0964 \u092f\u0939 \u092e\u093e\u0928\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0915\u093f \u0938\u093f\u0930\u094d\u092b \u092d\u093e\u0930 \u0915\u094b \u090a\u092a\u0930 \u0932\u0947 \u091c\u093e\u0928\u0947 \u092e\u0947\u0902 \u0939\u094b\u0928\u0947 \u0935\u093e\u0932\u0947 \u0915\u093e\u0930\u094d\u092f \u0938\u0947 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0938\u094d\u0925\u093f\u0924\u093f\u091c \u090a\u0930\u094d\u091c\u093e \u0915\u093e \u0939\u094d\u0930\u093e\u0938 \u0939\u094b\u0924\u093e \u0939\u0948\u0964 \u0936\u0930\u0940\u0930 \u0915\u094b \u0915\u094d\u092f\u093e \u090a\u0930\u094d\u091c\u093e \u0926\u0947\u0924\u0940 \u0939\u0948 \u091c\u094b \u092f\u093e\u0902\u0924\u094d\u0930\u093f\u0915 \u090a\u0930\u094d\u091c\u093e \u092e\u0947\u0902 \u092c\u0926\u0932\u0924\u0940 \u0939\u0948\u0964 \u092e\u093e\u0928 \u0932\u0947\u0902 \u0915\u093f \u0935\u0938\u093e \u0926\u094d\u0935\u093e\u0930\u093e \u0926\u0940 \u0917\u0908 \u090a\u0930\u094d\u091c\u093e 3.8\u00d710^7 J \u092a\u094d\u0930\u0924\u093f kg \u092d\u093e\u0930 \u0939\u0948, \u0924\u0925\u093e \u0907\u0938\u0915\u093e \u092e\u093e\u0924\u094d\u0930 20% \u092f\u093e\u0902\u0924\u094d\u0930\u093f\u0915 \u090a\u0930\u094d\u091c\u093e \u092e\u0947\u0902 \u092c\u0926\u0932\u0924\u093e \u0939\u0948\u0964 \u0905\u092c \u092f\u0926\u093f \u090f\u0915 \u092d\u093e\u0930\u094b\u0924\u094d\u0924\u094b\u0932\u0915 10 kg \u0915\u0947 \u092d\u093e\u0930 \u0915\u094b 1000 \u092c\u093e\u0930 1 m \u0915\u0940 \u090a\u0901\u091a\u093e\u0908 \u0924\u0915 \u090a\u092a\u0930 \u0914\u0930 \u0928\u0940\u091a\u0947 \u0915\u0930\u0924\u093e \u0939\u0948 \u0924\u092c \u0909\u0938\u0915\u0947 \u0936\u0930\u0940\u0930 \u0938\u0947 \u0935\u0938\u093e \u0915\u093e \u0915\u094d\u0937\u092f \u0939\u0948: (g=9.8 ms^\u22122)",
"options": [
"2.45\u00d710^\u22123 kg",
"6.45\u00d710^\u22123 kg",
"9.89\u00d710^\u22123 kg",
"12.89\u00d710^\u22123 kg"
],
"answer": "4",
"original_question_num": "4"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 26,
"question": "\u092a\u094d\u0930\u094b\u092a\u0940\u0928 \u0915\u094b HOCl (Cl\u2082 + H\u2082O) \u0915\u0947 \u0938\u093e\u0925 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u091c\u093f\u0938 \u092e\u0927\u094d\u092f\u0935\u0930\u094d\u0924\u0940 \u0938\u0947 \u0939\u094b\u0915\u0930 \u0938\u092e\u094d\u092a\u0928\u094d\u0928 \u0939\u094b\u0924\u0940 \u0939\u0948, \u0935\u0939 \u0939\u0948 :",
"options": [
"CH\u2083 - CH\u207a - CH\u2082 - OH",
"CH\u2083 - CH\u207a - CH\u2082 - Cl",
"CH\u2083 - CH(OH) - CH\u2082\u207a",
"CH\u2083 - CHCl - CH\u2082\u207a"
],
"answer": "2",
"original_question_num": "55"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 26,
"question": "\u0939\u0949\u092b\u092e\u0948\u0928 \u092c\u094d\u0930\u094b\u092e\u093e\u092e\u093e\u0907\u0921 \u0928\u093f\u092e\u094d\u0928\u0940\u0915\u0930\u0923 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u092e\u0947\u0902, NaOH \u0924\u0925\u093e Br\u2082 \u0915\u0947 \u092a\u094d\u0930\u092f\u0941\u0915\u094d\u0924 \u092e\u094b\u0932\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u092a\u094d\u0930\u0924\u093f \u092e\u094b\u0932 \u0905\u092e\u0940\u0928 \u0915\u0947 \u092c\u0928\u0928\u0947 \u092e\u0947\u0902 \u0939\u094b\u0917\u0940 :",
"options": [
"\u090f\u0915 \u092e\u094b\u0932 NaOH \u0924\u0925\u093e \u090f\u0915 \u092e\u094b\u0932 Br\u2082\u0964",
"\u091a\u093e\u0930 \u092e\u094b\u0932 NaOH \u0924\u0925\u093e \u0926\u094b \u092e\u094b\u0932 Br\u2082\u0964",
"\u0926\u094b \u092e\u094b\u0932 NaOH \u0924\u0925\u093e \u0926\u094b \u092e\u094b\u0932 Br\u2082\u0964",
"\u091a\u093e\u0930 \u092e\u094b\u0932 NaOH \u0924\u0925\u093e \u090f\u0915 \u092e\u094b\u0932 Br\u2082\u0964"
],
"answer": "4",
"original_question_num": "56"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 26,
"question": "\u0928\u093f\u092e\u094d\u0928 \u0918\u0928\u0924\u094d\u0935 \u0915\u0947 \u092a\u0949\u0932\u0940\u0925\u0940\u0928 \u0915\u0947 \u0938\u092e\u094d\u092c\u0928\u094d\u0927 \u092e\u0947\u0902 \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928 \u0938\u093e \u0915\u0925\u0928 \u0917\u0932\u0924 \u0939\u0948 ?",
"options": [
"\u0907\u0938\u0915\u0947 \u0938\u0902\u0936\u094d\u0932\u0947\u0937\u0923 \u092e\u0947\u0902 \u0909\u091a\u094d\u091a \u0926\u093e\u092c \u0915\u0940 \u0906\u0935\u0936\u094d\u092f\u0915\u0924\u093e \u0939\u094b\u0924\u0940 \u0939\u0948\u0964",
"\u092f\u0939 \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0915\u093e \u0939\u0940\u0928 \u091a\u093e\u0932\u0915 \u0939\u0948\u0964",
"\u0907\u0938\u092e\u0947\u0902 \u0921\u093e\u0908\u0911\u0915\u094d\u0938\u093f\u091c\u0928 \u0905\u0925\u0935\u093e \u092a\u0947\u0930\u0949\u0915\u094d\u0938\u093e\u0907\u0921 \u0907\u0928\u093f\u0936\u093f\u090f\u091f\u0930 (\u092a\u094d\u0930\u093e\u0930\u092e\u094d\u092d\u0915) \u0909\u0924\u094d\u092a\u094d\u0930\u0947\u0930\u0915 \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u091a\u093e\u0939\u093f\u090f\u0964",
"\u092f\u0939 \u092c\u093e\u0932\u094d\u091f\u093f\u092f\u093e\u0901 (\u092c\u093e\u0932\u094d\u091f\u0940), \u0921\u0938\u094d\u091f-\u092c\u093f\u0928, \u0906\u0926\u093f \u0915\u0947 \u0909\u0924\u094d\u092a\u093e\u0926\u0928 \u092e\u0947\u0902 \u092a\u094d\u0930\u092f\u0941\u0915\u094d\u0924 \u0939\u094b\u0924\u0940 \u0939\u0948\u0964"
],
"answer": "4",
"original_question_num": "57"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 30,
"question": "\u092f\u0926\u093f \u090f\u0915 \u0905\u091a\u0930 \u0938\u092e\u093e\u0902\u0924\u0930 \u0936\u094d\u0930\u0947\u0923\u0940 \u0915\u093e \u0926\u0942\u0938\u0930\u093e, 5 \u0935\u093e\u0902 \u0924\u0925\u093e 9 \u0935\u093e\u0902 \u092a\u0926 \u090f\u0915 \u0917\u0941\u0923\u094b\u0924\u094d\u0924\u0930 \u0936\u094d\u0930\u0947\u0923\u0940 \u092e\u0947\u0902 \u0939\u0948\u0902, \u0924\u094b \u0909\u0938 \u0917\u0941\u0923\u094b\u0924\u094d\u0924\u0930 \u0936\u094d\u0930\u0947\u0923\u0940 \u0915\u093e \u0938\u093e\u0930\u094d\u0925 \u0905\u0928\u0941\u092a\u093e\u0924 \u0939\u0948 :",
"options": [
"\\(\\frac{8}{5}\\)",
"\\(\\frac{4}{3}\\)",
"1",
"\\(\\frac{7}{4}\\)"
],
"answer": "2",
"original_question_num": "68"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 10,
"question": "\u0926\u094b \u090f\u0915\u0938\u092e\u093e\u0928 \u0924\u093e\u0930 A \u0935 B \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0915\u0940 \u0932\u092e\u094d\u092c\u093e\u0908 'l', \u092e\u0947\u0902 \u0938\u092e\u093e\u0928 \u0927\u093e\u0930\u093e I \u092a\u094d\u0930\u0935\u093e\u0939\u093f\u0924 \u0939\u0948\u0964 A \u0915\u094b \u092e\u094b\u0921\u093c\u0915\u0930 R \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e \u0915\u093e \u090f\u0915 \u0935\u0943\u0924\u094d\u0924 \u0914\u0930 B \u0915\u094b \u092e\u094b\u0921\u093c\u0915\u0930 \u092d\u0941\u091c\u093e 'a' \u0915\u093e \u090f\u0915 \u0935\u0930\u094d\u0917 \u092c\u0928\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u092f\u0926\u093f B_A \u0924\u0925\u093e B_B \u0915\u094d\u0930\u092e\u0936\u0903 \u0935\u0943\u0924\u094d\u0924 \u0915\u0947 \u0915\u0947\u0928\u094d\u0926\u094d\u0930 \u0924\u0925\u093e \u0935\u0930\u094d\u0917 \u0915\u0947 \u0915\u0947\u0928\u094d\u0926\u094d\u0930 \u092a\u0930 \u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0939\u0948\u0902, \u0924\u092c \u0905\u0928\u0941\u092a\u093e\u0924 B_A/B_B \u0939\u094b\u0917\u093e :",
"options": [
"\u03c0\u00b2/8",
"\u03c0\u00b2/16\u221a2",
"\u03c0\u00b2/16",
"\u03c0\u00b2/8\u221a2"
],
"answer": "4",
"original_question_num": "15"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 9,
"question": "\u0924\u093e\u0901\u092c\u093e \u0924\u0925\u093e \u0905\u092e\u093e\u092a\u093f\u0924 (undoped) \u0938\u093f\u0932\u093f\u0915\u0928 \u0915\u0947 \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927\u094b\u0902 \u0915\u094b \u0909\u0928\u0915\u0947 \u0924\u093e\u092a\u092e\u093e\u0928 \u092a\u0930 \u0928\u093f\u0930\u094d\u092d\u0930\u0924\u093e, 300-400 K \u0924\u093e\u092a\u092e\u093e\u0928 \u0905\u0902\u0924\u0930\u093e\u0932 \u092e\u0947\u0902, \u0915\u0947 \u0932\u093f\u092f\u0947 \u0938\u0939\u0940 \u0915\u0925\u0928 \u0939\u0948 :",
"options": [
"\u0924\u093e\u0901\u092c\u093e \u0915\u0947 \u0932\u093f\u092f\u0947 \u0930\u0947\u0916\u0940\u092f \u092c\u095d\u093e\u0935 \u0924\u0925\u093e \u0938\u093f\u0932\u093f\u0915\u0928 \u0915\u0947 \u0932\u093f\u092f\u0947 \u0930\u0947\u0916\u0940\u092f \u092c\u095d\u093e\u0935\u0964",
"\u0924\u093e\u0901\u092c\u093e \u0915\u0947 \u0932\u093f\u092f\u0947 \u0930\u0947\u0916\u0940\u092f \u092c\u095d\u093e\u0935 \u0924\u0925\u093e \u0938\u093f\u0932\u093f\u0915\u0928 \u0915\u0947 \u0932\u093f\u092f\u0947 \u091a\u0930\u0918\u093e\u0924\u093e\u0902\u0915\u0940 \u092c\u095d\u093e\u0935\u0964",
"\u0924\u093e\u0901\u092c\u093e \u0915\u0947 \u0932\u093f\u092f\u0947 \u0930\u0947\u0916\u0940\u092f \u092c\u095d\u093e\u0935 \u0924\u0925\u093e \u0938\u093f\u0932\u093f\u0915\u0928 \u0915\u0947 \u0932\u093f\u092f\u0947 \u091a\u0930\u0918\u093e\u0924\u093e\u0902\u0915\u0940 \u0918\u091f\u093e\u0935\u0964",
"\u0924\u093e\u0901\u092c\u093e \u0915\u0947 \u0932\u093f\u092f\u0947 \u0930\u0947\u0916\u0940\u092f \u0918\u091f\u093e\u0935 \u0924\u0925\u093e \u0938\u093f\u0932\u093f\u0915\u0928 \u0915\u0947 \u0932\u093f\u092f\u0947 \u0930\u0947\u0916\u0940\u092f \u0918\u091f\u093e\u0935\u0964"
],
"answer": "3",
"original_question_num": "14"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 11,
"question": "\u090f\u0915 \u0906\u0930\u094d\u0915 \u0932\u0948\u092e\u094d\u092a \u0915\u094b \u092a\u094d\u0930\u0915\u093e\u0936\u093f\u0924 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u092f\u0947 80 V \u092a\u0930 10 A \u0915\u0940 \u0926\u093f\u0937\u094d\u091f \u0927\u093e\u0930\u093e (DC) \u0915\u0940 \u0906\u0935\u0936\u094d\u092f\u0915\u0924\u093e \u0939\u094b\u0924\u0940 \u0939\u0948\u0964 \u0909\u0938\u0940 \u0906\u0930\u094d\u0915 \u0915\u094b 220 V (rms) 50 Hz \u092a\u094d\u0930\u0924\u094d\u092f\u093e\u0935\u0930\u094d\u0924\u0940 \u0927\u093e\u0930\u093e (AC) \u0938\u0947 \u091a\u0932\u093e\u0928\u0947 \u0915\u0947 \u0932\u093f\u092f\u0947 \u0936\u094d\u0930\u0947\u0923\u0940 \u092e\u0947\u0902 \u0932\u0917\u093e\u0928\u0947 \u0935\u093e\u0932\u093e \u092a\u094d\u0930\u0947\u0930\u0915\u0924\u094d\u0935 \u0915\u093e \u092e\u093e\u0928 \u0939\u0948 :",
"options": [
"80 H",
"0.08 H",
"0.044 H",
"0.065 H"
],
"answer": "4",
"original_question_num": "17"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 11,
"question": "\u0928\u093f\u092e\u094d\u0928 \u092a\u094d\u0930\u0924\u093f \u0915\u094d\u0935\u093e\u0902\u091f\u092e \u0935\u0948\u0926\u094d\u092f\u0941\u0924-\u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u0935\u093f\u0915\u093f\u0930\u0923\u094b\u0902 \u0915\u094b \u0909\u0928\u0915\u0940 \u090a\u0930\u094d\u091c\u093e \u0915\u0947 \u092c\u095d\u0924\u0947 \u0939\u0941\u090f \u0915\u094d\u0930\u092e \u092e\u0947\u0902 \u0932\u0917\u093e\u092f\u0947\u0902 :",
"options": [
"D, B, A, C",
"A, B, D, C",
"C, A, B, D",
"B, A, D, C"
],
"answer": "1",
"original_question_num": "18"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 11,
"question": "\u0926\u0942\u0930 \u0938\u094d\u0925\u093f\u0924 10 m \u090a\u0901\u091a\u0947 \u092a\u0947\u095c \u0915\u094b \u090f\u0915 20 \u0906\u0935\u0930\u094d\u0927\u0928 \u0915\u094d\u0937\u092e\u0924\u093e \u0935\u093e\u0932\u0947 \u091f\u0947\u0932\u093f\u0938\u094d\u0915\u094b\u092a \u0938\u0947 \u0926\u0947\u0916\u0928\u0947 \u092a\u0930 \u0915\u094d\u092f\u093e \u092e\u0939\u0938\u0942\u0938 \u0939\u094b\u0917\u093e ?",
"options": [
"\u092a\u0947\u095c 10 \u0917\u0941\u0928\u093e \u090a\u0901\u091a\u093e \u0939\u0948\u0964",
"\u092a\u0947\u095c 10 \u0917\u0941\u0928\u093e \u092a\u093e\u0938 \u0939\u0948\u0964",
"\u092a\u0947\u095c 20 \u0917\u0941\u0928\u093e \u090a\u0901\u091a\u093e \u0939\u0948\u0964",
"\u092a\u0947\u095c 20 \u0917\u0941\u0928\u093e \u092a\u093e\u0938 \u0939\u0948\u0964"
],
"answer": "4",
"original_question_num": "19"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 31,
"question": "\u092e\u093e\u0928 p = lim (1 + tan\u00b2\u221ax)\u00b9/\u00b2x \u0939\u0948, \u0924\u094b log p \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"2",
"1",
"1/2",
"1/4"
],
"answer": "3",
"original_question_num": "70"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 31,
"question": "x \u2208 R \u0915\u0947 \u0932\u093f\u090f f(x) = |log2 - sinx| \u0924\u0925\u093e g(x) = f(f(x)) \u0939\u0948\u0902, \u0924\u094b :",
"options": [
"x = 0 \u092a\u0930 g \u0905\u0935\u0915\u0932\u0928\u0940\u092f \u0928\u0939\u0940\u0902 \u0939\u0948\u0964",
"g'(0) = cos(log2) \u0939\u0948\u0964",
"g'(0) = -cos(log2) \u0939\u0948\u0964",
"x = 0 \u092a\u0930 g \u0905\u0935\u0915\u0932\u0928\u0940\u092f \u0939\u0948 \u0924\u0925\u093e g'(0) = -sin(log2) \u0939\u0948\u0964"
],
"answer": "2",
"original_question_num": "71"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 31,
"question": "f(x) = tan\u207b\u00b9[(1 + sinx)/(1 - sinx)], x \u2208 (0, \u03c0/2) \u092a\u0930 \u0935\u093f\u091a\u093e\u0930 \u0915\u0940\u091c\u093f\u090f\u0964 y = f(x) \u0915\u0947 \u092c\u093f\u0902\u0926\u0941 x = \u03c0/6 \u092a\u0930 \u0916\u0940\u0902\u091a\u093e \u0917\u092f\u093e \u0905\u092d\u093f\u0932\u0902\u092c \u0928\u093f\u092e\u094d\u0928 \u092c\u093f\u0902\u0926\u0941 \u0938\u0947 \u092d\u0940 \u0939\u094b\u0915\u0930 \u091c\u093e\u0924\u093e \u0939\u0948 :",
"options": [
"(0, 0)",
"(0, 2\u03c0/3)",
"(\u03c0/6, 0)",
"(\u03c0/4, 0)"
],
"answer": "2",
"original_question_num": "72"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 27,
"question": "\u0925\u093e\u092f\u094b\u0932 \u0917\u094d\u0930\u0941\u092a \u091c\u093f\u0938\u092e\u0947\u0902 \u0909\u092a\u0938\u094d\u0925\u093f\u0924 \u0939\u0948, \u0935\u0939 \u0939\u0948 :",
"options": [
"\u0938\u093e\u0907\u091f\u094b\u0938\u093f\u0928",
"\u0938\u093f\u0938\u094d\u091f\u093f\u0928 (Cystine)",
"\u0938\u093f\u0938\u094d\u091f\u0940\u0928 (Cysteine)",
"\u092e\u0947\u0925\u093f\u0913\u0928\u0940\u0928"
],
"answer": "3",
"original_question_num": "58"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 27,
"question": "\u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928 \u0938\u093e \u090f\u0928\u093e\u092f\u0928\u093f\u0915 \u0921\u093f\u091f\u0930\u094d\u091c\u0947\u0902\u091f \u0939\u0948 ?",
"options": [
"\u0938\u094b\u0921\u093f\u092f\u092e \u0938\u094d\u091f\u0940\u092f\u0930\u0947\u091f",
"\u0938\u094b\u0921\u093f\u092f\u092e \u0932\u0949\u0930\u093f\u0932 \u0938\u0932\u094d\u092b\u0947\u091f",
"\u0938\u0947\u091f\u093e\u0907\u0932\u091f\u094d\u0930\u093e\u0907\u092e\u093f\u0925\u093e\u0907\u0932 \u0905\u092e\u094b\u0928\u093f\u092f\u092e \u092c\u094d\u0930\u094b\u092e\u093e\u0907\u0921",
"\u0917\u094d\u0932\u093f\u0938\u0930\u093f\u0932 \u0913\u0932\u093f\u092f\u0947\u091f"
],
"answer": "2",
"original_question_num": "59"
},
{
"language": "hi",
"country": "India",
"file_name": "03-04-2016-Set-E",
"source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 5,
"question": "\u092a\u0943\u0925\u094d\u0935\u0940 \u0915\u0940 \u0938\u0924\u0939 \u0938\u0947 'h' \u090a\u0901\u091a\u093e\u0908 \u092a\u0930 \u090f\u0915 \u0909\u092a\u0917\u094d\u0930\u0939 \u0935\u0943\u0924\u094d\u0924\u093e\u0915\u093e\u0930 \u092a\u0925 \u092a\u0930 \u0918\u0942\u092e\u0915\u0930 \u0915\u0915\u094d\u0937 \u092e\u0947\u0902 \u0939\u0948 (\u092a\u0943\u0925\u094d\u0935\u0940 \u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e R \u0924\u0925\u093e h< H\u2082SO\u2084 > H\u2082S\u2082O\u2087",
"H\u2082SO\u2084 > H\u2082S\u2082O\u2087 > H\u2082SO\u2083",
"H\u2082S\u2082O\u2087 > H\u2082SO\u2084 > H\u2082SO\u2083",
"H\u2082S\u2082O\u2087 > H\u2082SO\u2083 > H\u2082SO\u2084"
],
"answer": "4",
"original_question_num": "19"
},
{
"language": "hi",
"country": "India",
"file_name": "Chemistry-9th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=of%20April%202017-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 7,
"question": "[Co\u2082(CO)\u2088] \u0905\u092d\u093f\u0935\u094d\u092f\u0915\u094d\u0924 \u0915\u0930\u0924\u093e \u0939\u0948 :",
"options": [
"\u090f\u0915 Co-Co \u0906\u092c\u0928\u094d\u0927, \u091b\u0939 \u091f\u0930\u094d\u092e\u093f\u0928\u0932 CO \u0924\u0925\u093e \u0926\u094b \u0938\u0947\u0924\u0941\u092c\u0902\u0927 CO",
"\u090f\u0915 Co-Co \u0906\u092c\u0928\u094d\u0927, \u091a\u093e\u0930 \u091f\u0930\u094d\u092e\u093f\u0928\u0932 CO \u0924\u0925\u093e \u091a\u093e\u0930 \u0938\u0947\u0924\u0941\u092c\u0902\u0927 CO",
"Co-Co \u0906\u092c\u0928\u094d\u0927 \u0928\u0939\u0940\u0902, \u091b\u0939 \u091f\u0930\u094d\u092e\u093f\u0928\u0932 CO \u0924\u0925\u093e \u0926\u094b \u0938\u0947\u0924\u0941\u092c\u0902\u0927 CO",
"Co-Co \u0906\u092c\u0928\u094d\u0927 \u0928\u0939\u0940\u0902, \u091a\u093e\u0930 \u091f\u0930\u094d\u092e\u093f\u0928\u0932 CO \u0924\u0925\u093e \u091a\u093e\u0930 \u0938\u0947\u0924\u0941\u092c\u0902\u0927 CO"
],
"answer": "4",
"original_question_num": "20"
},
{
"language": "hi",
"country": "India",
"file_name": "Chemistry-9th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=of%20April%202017-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 6,
"question": "\u0935\u0939 \u0938\u092e\u0942\u0939 \u091c\u093f\u0938\u092e\u0947\u0902 \u0924\u094d\u0930\u093f\u0915\u094b\u0923 \u0938\u092e\u0924\u0932 \u0938\u0902\u0930\u091a\u0928\u093e\u0935\u093e\u0932\u0947 \u0939\u0948\u0902, \u0939\u0948 :",
"options": [
"BF\u2083, NF\u2083, CO\u2083\u00b2\u207b",
"CO\u2083\u00b2\u207b, NO\u2083\u207b, SO\u2083",
"NH\u2083, SO\u2083, CO\u2083\u00b2\u207b",
"NCl\u2083, BCl\u2083, SO\u2083"
],
"answer": "2",
"original_question_num": "15"
},
{
"language": "hi",
"country": "India",
"file_name": "Chemistry-9th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=of%20April%202017-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 6,
"question": "XeF\u2086 \u091c\u0932 \u0915\u0947 \u0938\u093e\u0925 \u0906\u0902\u0936\u093f\u0915 \u091c\u0932-\u0905\u0935\u0915\u0930\u0923 \u0915\u0930\u0928\u0947 \u092a\u0930, \u090f\u0915 \u092f\u094c\u0917\u093f\u0915 'X' \u0926\u0947\u0924\u093e \u0939\u0948\u0964 \u092f\u0939\u0940 \u092f\u094c\u0917\u093f\u0915 'X' \u0924\u092c \u092c\u0928\u0924\u093e \u0939\u0948 \u091c\u092c XeF\u2086 \u0938\u093f\u0932\u093f\u0915\u093e \u0915\u0947 \u0938\u093e\u0925 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u092f\u094c\u0917\u093f\u0915 'X' \u0939\u0948 :",
"options": [
"XeF\u2082",
"XeF\u2084",
"XeOF\u2084",
"XeO\u2083"
],
"answer": "2",
"original_question_num": "16"
},
{
"language": "hi",
"country": "India",
"file_name": "Chemistry-9th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=of%20April%202017-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 6,
"question": "\u092a\u093e\u092f\u0930\u093e\u092b\u0949\u0938\u094d\u092b\u094b\u0930\u093f\u0915 \u0905\u092e\u094d\u0932 (H\u2084P\u2082O\u2087) \u092e\u0947\u0902 P\u2212OH \u0906\u0935\u0902\u0927\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0924\u0925\u093e \u092b\u0949\u0938\u094d\u092b\u094b\u0930\u0938 \u092a\u0930\u092e\u093e\u0923\u0941 \u0915\u0940 \u0911\u0915\u094d\u0938\u0940\u0915\u0930\u0923 \u0905\u0935\u0938\u094d\u0925\u093e \u0915\u094d\u0930\u092e\u0936\u0903 \u0939\u0948\u0902 :",
"options": [
"\u091a\u093e\u0930 \u0924\u0925\u093e \u091a\u093e\u0930",
"\u092a\u093e\u0901\u091a \u0924\u0925\u093e \u091a\u093e\u0930",
"\u092a\u093e\u0901\u091a \u0924\u0925\u093e \u092a\u093e\u0901\u091a",
"\u091a\u093e\u0930 \u0924\u0925\u093e \u092a\u093e\u0901\u091a"
],
"answer": "1",
"original_question_num": "17"
},
{
"language": "hi",
"country": "India",
"file_name": "Chemistry-9th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=of%20April%202017-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 1,
"question": "\u090f\u0915 \u0906\u0926\u0930\u094d\u0936 \u0917\u0948\u0938 \u0938\u094d\u0925\u093f\u0930 \u0926\u093e\u092c \u092a\u0930 \u0938\u092e\u0924\u093e\u092a\u0940\u092f \u092a\u094d\u0930\u0938\u093e\u0930\u0923 \u0915\u0930\u0924\u0940 \u0939\u0948\u0964 \u0907\u0938 \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e \u092e\u0947\u0902 :",
"options": [
"\u090f\u0928\u094d\u0925\u0948\u0932\u094d\u092a\u0940 \u092c\u0922\u093c\u0924\u0940 \u0939\u0948 \u092a\u0930\u0928\u094d\u0924\u0941 \u090f\u0902\u091f\u094d\u0930\u0949\u092a\u0940 \u0918\u091f\u0924\u0940 \u0939\u0948\u0964",
"\u090f\u0928\u094d\u0925\u0948\u0932\u094d\u092a\u0940 \u0938\u094d\u0925\u093f\u0930 \u0930\u0939\u0924\u0940 \u0939\u0948 \u092a\u0930\u0928\u094d\u0924\u0941 \u090f\u0902\u091f\u094d\u0930\u0949\u092a\u0940 \u092c\u0922\u093c\u0924\u0940 \u0939\u0948\u0964",
"\u090f\u0928\u094d\u0925\u0948\u0932\u094d\u092a\u0940 \u0918\u091f\u0924\u0940 \u0939\u0948 \u092a\u0930\u0928\u094d\u0924\u0941 \u090f\u0902\u091f\u094d\u0930\u0949\u092a\u0940 \u092c\u0922\u093c\u0924\u0940 \u0939\u0948\u0964",
"\u090f\u0928\u094d\u0925\u0948\u0932\u094d\u092a\u0940 \u0924\u0925\u093e \u090f\u0902\u091f\u094d\u0930\u0949\u092a\u0940 \u0926\u094b\u0928\u094b\u0902 \u0939\u0940 \u0938\u094d\u0925\u093f\u0930 \u0930\u0939\u0924\u0940 \u0939\u0948\u0902\u0964"
],
"answer": "2",
"original_question_num": "1"
},
{
"language": "hi",
"country": "India",
"file_name": "Chemistry-9th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=of%20April%202017-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 1,
"question": "0.2 M \u0905\u092e\u094b\u0928\u093f\u092f\u093e \u0935\u093f\u0932\u092f\u0928 \u0915\u0947 50 mL \u0915\u094b 0.2 M HCl \u0915\u0947 25 mL \u0915\u0947 \u0938\u093e\u0925 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u092f\u0926\u093f \u0905\u092e\u094b\u0928\u093f\u092f\u093e \u0935\u093f\u0932\u092f\u0928 \u0915\u0947 pK_b \u0915\u093e \u092e\u093e\u0928 4.75 \u0939\u094b \u0924\u094b \u092e\u093f\u0936\u094d\u0930\u0923 \u0915\u093e pH \u0939\u094b\u0917\u093e :",
"options": [
"3.75",
"4.75",
"8.25",
"9.25"
],
"answer": "2",
"original_question_num": "2"
},
{
"language": "hi",
"country": "India",
"file_name": "Chemistry-9th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=of%20April%202017-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 1,
"question": "\u0939\u093e\u0907\u0921\u094d\u0930\u094b\u091c\u0928 \u092a\u0930\u092e\u093e\u0923\u0941 \u092e\u0947\u0902 \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928 \u0909\u091a\u094d\u091a\u0924\u0930 \u0911\u0930\u094d\u092c\u093f\u091f\u0932 \u0938\u0947 211.6 pm \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e \u0935\u093e\u0932\u0947 \u0911\u0930\u094d\u092c\u093f\u091f\u0932 \u0924\u0915 \u0938\u0902\u0915\u094d\u0930\u092e\u0923 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u0907\u0938 \u0938\u0902\u0915\u094d\u0930\u092e\u0923 \u0915\u093e \u0938\u092e\u094d\u092c\u0928\u094d\u0927 \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0935\u0939 \u0939\u0948 :",
"options": [
"\u0932\u093e\u0907\u092e\u0948\u0928 \u0936\u094d\u0930\u0947\u0923\u0940",
"\u092c\u093e\u092e\u0930 \u0936\u094d\u0930\u0947\u0923\u0940",
"\u092a\u093e\u0938\u0947\u0928 \u0936\u094d\u0930\u0947\u0923\u0940",
"\u092c\u094d\u0930\u0948\u0915\u0947\u091f \u0936\u094d\u0930\u0947\u0923\u0940"
],
"answer": "2",
"original_question_num": "3"
},
{
"language": "hi",
"country": "India",
"file_name": "Chemistry-9th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=of%20April%202017-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 11,
"question": "\u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0917\u0932\u0924 \u0915\u0925\u0928 \u0939\u0948 :",
"options": [
"\u03b1-D-\u0917\u094d\u0932\u0942\u0915\u094b\u091c \u0924\u0925\u093e \u03b2-D-\u0917\u094d\u0932\u0942\u0915\u094b\u091c \u0910\u0928\u094b\u092e\u0930 \u0939\u0948\u0902\u0964",
"\u03b1-D-\u0917\u094d\u0932\u0942\u0915\u094b\u091c \u0924\u0925\u093e \u03b2-D-\u0917\u094d\u0932\u0942\u0915\u094b\u091c \u092a\u094d\u0930\u0924\u093f\u0935\u093f\u0928\u094d\u092f\u093e\u0938 \u0939\u0948\u0902\u0964",
"\u0938\u0947\u0932\u094d\u092f\u0942\u0932\u094b\u091c \u090f\u0915 \u0938\u0930\u0932 \u0936\u094d\u0930\u0943\u0902\u0916\u0932\u093e \u092a\u0949\u0932\u093f\u0938\u0948\u0915\u0947\u0930\u093e\u0907\u0921 \u0939\u0948 \u091c\u094b \u0915\u0947\u0935\u0932 \u03b2-D-\u0917\u094d\u0932\u0942\u0915\u094b\u091c \u0907\u0915\u093e\u0907\u092f\u094b\u0902 \u0938\u0947 \u092c\u0928\u093e \u0939\u0948\u0964",
"\u0917\u094d\u0932\u0942\u0915\u094b\u091c \u0915\u093e \u092a\u0947\u0902\u091f\u093e \u090f\u0938\u0940\u091f\u0947\u091f, \u0939\u093e\u0907\u0921\u094d\u0930\u0949\u0915\u094d\u0938\u093f\u0932 \u090f\u092e\u0940\u0928 \u0915\u0947 \u0938\u093e\u0925 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0928\u0939\u0940\u0902 \u0915\u0930\u0924\u093e \u0939\u0948\u0964"
],
"answer": "3",
"original_question_num": "25"
},
{
"language": "hi",
"country": "India",
"file_name": "Mathematics-9th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 1,
"question": "\u092b\u0932\u0928 f : N \u2192 N, f(x) = x - 5 \u230ax/5\u230b \u0926\u094d\u0935\u093e\u0930\u093e \u092a\u0930\u093f\u092d\u093e\u0937\u093f\u0924 \u0939\u0948, \u091c\u0939\u093e\u0901 N, \u092a\u094d\u0930\u093e\u0915\u0943\u0924\u093f\u0915 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u093e \u0938\u092e\u0941\u091a\u094d\u091a\u092f \u0939\u0948 \u0924\u0925\u093e \u230ax\u230b, x \u0938\u0947 \u0915\u092e \u092f\u093e \u0909\u0938\u0915\u0947 \u0938\u092e\u093e\u0928 \u092e\u0939\u0924\u094d\u0924\u092e \u092a\u0942\u0930\u094d\u0923\u093e\u0902\u0915 \u0939\u0948, \u091c\u094b :",
"options": [
"\u090f\u0915\u0947\u0915\u0924\u093e \u0924\u0925\u093e \u0906\u0915\u094d\u0930\u093f\u092f \u0939\u0948\u0964",
"\u090f\u0915\u0947\u0915\u0924\u093e \u0939\u0948 \u092a\u0930\u0928\u094d\u0924\u0941 \u0906\u0915\u094d\u0930\u093f\u092f \u0928\u0939\u0940\u0902 \u0939\u0948\u0964",
"\u0906\u0915\u094d\u0930\u093f\u092f \u0939\u0948 \u092a\u0930\u0928\u094d\u0924\u0941 \u090f\u0915\u0947\u0915\u0924\u093e \u0928\u0939\u0940\u0902 \u0939\u0948\u0964",
"\u0928 \u0924\u094b \u090f\u0915\u0947\u0915\u0924\u093e \u0939\u0948 \u0914\u0930 \u0928 \u0939\u0940 \u0906\u0915\u094d\u0930\u093f\u092f \u0939\u0948\u0964"
],
"answer": "4",
"original_question_num": "1"
},
{
"language": "hi",
"country": "India",
"file_name": "Mathematics-9th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 1,
"question": "\u0938\u092e\u0940\u0915\u0930\u0923 2(x-1)(x\u00b2+5x-50) = 1 \u0915\u094b \u0938\u0902\u0924\u0941\u0937\u094d\u091f \u0915\u0930\u0928\u0947 \u0935\u093e\u0932\u0947 x \u0915\u0947 \u0938\u092d\u0940 \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u092e\u093e\u0928\u094b\u0902 \u0915\u093e \u092f\u094b\u0917 \u0939\u0948 :",
"options": [
"16",
"14",
"-4",
"-5"
],
"answer": "1",
"original_question_num": "2"
},
{
"language": "hi",
"country": "India",
"file_name": "Mathematics-9th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 1,
"question": "\u0938\u092e\u0940\u0915\u0930\u0923 Im(iz-2/z-i) + 1 = 0, z \u2208 C, z \u2260 i \u0909\u0938 \u0935\u0943\u0924\u094d\u0924 \u0915\u0947 \u090f\u0915 \u092d\u093e\u0917 \u0915\u094b \u0928\u093f\u0930\u0942\u092a\u093f\u0924 \u0915\u0930\u0924\u0940 \u0939\u0948, \u091c\u093f\u0938\u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e \u0939\u0948 :",
"options": [
"2",
"1",
"3/4",
"1/2"
],
"answer": "1",
"original_question_num": "3"
},
{
"language": "hi",
"country": "India",
"file_name": "Mathematics-9th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 12,
"question": "\u0938\u092e\u0940\u0915\u0931\u0923 sin[cot\u207b\u00b9(1 + x)] = cos[tan\u207b\u00b9x] \u0915\u094b \u0938\u0902\u0924\u0941\u0937\u094d\u091f \u0915\u0930\u0928\u0947 \u0935\u093e\u0932\u093e x \u0915\u093e \u090f\u0915 \u092e\u093e\u0928 \u0939\u0948 :",
"options": [
"- 1/2",
"-1",
"0",
"1/2"
],
"answer": "3",
"original_question_num": "28"
},
{
"language": "hi",
"country": "India",
"file_name": "Mathematics-9th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 12,
"question": "\u090f\u0915 \u091a\u0915\u094d\u0930\u0940\u092f-\u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0915\u0940 \u0926\u094b \u0938\u0902\u0932\u0917\u094d\u0928 \u092d\u0941\u091c\u093e\u090f\u0901 2 \u0924\u0925\u093e 5 \u0939\u0948\u0902 \u0924\u0925\u093e \u0909\u0928\u0915\u0947 \u092c\u0940\u091a \u0915\u093e \u0915\u094b\u0923 60\u00b0 \u0939\u0948 \u0964 \u092f\u0926\u093f \u0907\u0938 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 4\u221a3 \u0939\u0948, \u0924\u094b \u0907\u0938\u0915\u093e \u092a\u0930\u093f\u092e\u093e\u092a \u0939\u0948 :",
"options": [
"12.5",
"13.2",
"12",
"13"
],
"answer": "2",
"original_question_num": "29"
},
{
"language": "hi",
"country": "India",
"file_name": "Mathematics-9th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 7,
"question": "\u0935\u0915\u094d\u0930 y=f(x) \u0915\u0947 \u092c\u093f\u0902\u0926\u0941 P(x, y) \u092a\u0930 \u0938\u094d\u092a\u0930\u094d\u0936\u0930\u0947\u0916\u093e x-\u0905\u0915\u094d\u0937 \u0915\u094b A \u092a\u0930 \u0924\u0925\u093e y-\u0905\u0915\u094d\u0937 \u0915\u094b B \u092a\u0930 \u0915\u093e\u091f\u0924\u0940 \u0939\u0948\u0964 \u092f\u0926\u093f AP : BP=1 : 3 \u0924\u0925\u093e f(1)=1 \u0939\u0948, \u0924\u094b \u0935\u0915\u094d\u0930 \u0928\u093f\u092e\u094d\u0928 \u092c\u093f\u0902\u0926\u0941 \u0938\u0947 \u092d\u0940 \u0939\u094b \u0915\u0930 \u091c\u093e\u0924\u093e \u0939\u0948 :",
"options": [
"\\( \\left( \\frac{1}{3}, 24 \\right) \\)",
"\\( \\left( \\frac{1}{2}, 4 \\right) \\)",
"\\( \\left( 2, \\frac{1}{8} \\right) \\)",
"\\( \\left( 3, \\frac{1}{28} \\right) \\)"
],
"answer": "4",
"original_question_num": "17"
},
{
"language": "hi",
"country": "India",
"file_name": "Mathematics-9th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 7,
"question": "\u090f\u0915 \u0935\u0930\u094d\u0917, \u091c\u093f\u0938\u0915\u093e \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092d\u0941\u091c\u093e 2 \u0939\u0948, x-\u0905\u0915\u094d\u0937 \u0938\u0947 \u090a\u092a\u0930 \u0938\u094d\u0925\u093f\u0924 \u0939\u0948 \u0924\u0925\u093e \u091c\u093f\u0938\u0915\u093e \u090f\u0915 \u0936\u0940\u0930\u094d\u0937 \u092e\u0942\u0932 \u092c\u093f\u0902\u0926\u0941 \u092a\u0930 \u0939\u0948\u0964 \u092f\u0926\u093f \u0907\u0938\u0915\u0940 \u092e\u0942\u0932 \u092c\u093f\u0902\u0926\u0941 \u0938\u0947 \u0939\u094b\u0915\u0930 \u091c\u093e\u0924\u0940 \u0939\u0941\u0908 \u090f\u0915 \u092d\u0941\u091c\u093e, x-\u0905\u0915\u094d\u0937 \u0915\u0940 \u0927\u0928\u093e\u0924\u094d\u092e\u0915 \u0926\u093f\u0936\u093e \u0938\u0947 30\u00b0 \u0915\u093e \u0915\u094b\u0923 \u092c\u0928\u093e\u0924\u0940 \u0939\u0948, \u0924\u094b \u0935\u0930\u094d\u0917 \u0915\u0947 \u0936\u0940\u0930\u094d\u0937 \u092c\u093f\u0902\u0926\u0941\u0913\u0902 \u0915\u0947 x-\u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915\u094b\u0902 \u0915\u093e \u092f\u094b\u0917 \u0939\u0948 :",
"options": [
"\\( 2\\sqrt{3} - 1 \\)",
"\\( 2\\sqrt{3} - 2 \\)",
"\\( \\sqrt{3} - 2 \\)",
"\\( \\sqrt{3} - 1 \\)"
],
"answer": "1",
"original_question_num": "18"
},
{
"language": "hi",
"country": "India",
"file_name": "Mathematics-9th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 13,
"question": "\u092f\u0926\u093f \u0926\u094b \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901 \u0938\u092e\u093e\u0928 \u0928\u0939\u0940\u0902 \u0939\u0948\u0902, \u0924\u094b \u0909\u0928\u0915\u0947 \u0935\u0930\u094d\u0917 \u0938\u092e\u093e\u0928 \u0928\u0939\u0940\u0902 \u0939\u0948\u0902\u0964",
"options": [
"\u092f\u0926\u093f \u0926\u094b \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u0947 \u0935\u0930\u094d\u0917 \u0938\u092e\u093e\u0928 \u0939\u0948\u0902, \u0924\u094b \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901 \u0938\u092e\u093e\u0928 \u0939\u0948\u0902\u0964",
"\u092f\u0926\u093f \u0926\u094b \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u0947 \u0935\u0930\u094d\u0917 \u0938\u092e\u093e\u0928 \u0939\u0948\u0902, \u0924\u094b \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901 \u0938\u092e\u093e\u0928 \u0928\u0939\u0940\u0902 \u0939\u0948\u0902\u0964",
"\u092f\u0926\u093f \u0926\u094b \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u0947 \u0935\u0930\u094d\u0917 \u0938\u092e\u093e\u0928 \u0928\u0939\u0940\u0902 \u0939\u0948\u0902, \u0924\u094b \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901 \u0938\u092e\u093e\u0928 \u0928\u0939\u0940\u0902 \u0939\u0948\u0902\u0964",
"\u092f\u0926\u093f \u0926\u094b \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u0947 \u0935\u0930\u094d\u0917 \u0938\u092e\u093e\u0928 \u0928\u0939\u0940\u0902 \u0939\u0948\u0902, \u0924\u094b \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901 \u0938\u092e\u093e\u0928 \u0939\u0948\u0902\u0964"
],
"answer": "1",
"original_question_num": "30"
},
{
"language": "hi",
"country": "India",
"file_name": "Mathematics-9th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 9,
"question": "\u090f\u0915 \u091a\u0930 \u0938\u092e\u0924\u0932, \u091c\u093f\u0938\u0915\u093e \u092e\u0942\u0932 \u092c\u093f\u0902\u0926\u0941 \u0938\u0947 \u0926\u0942\u0930\u0940 3 \u0907\u0915\u093e\u0908 \u0939\u0948, \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 \u0905\u0915\u094d\u0937\u094b\u0902 \u0915\u094b A, B \u0924\u0925\u093e C \u092a\u0930 \u0915\u093e\u091f\u0924\u093e \u0939\u0948, \u0924\u094b \u0394ABC \u0915\u0947 \u0915\u0947\u0902\u0926\u094d\u0930\u0915 \u0915\u093e \u092c\u093f\u0902\u0926\u0941\u092a\u0925 \u0939\u0948 :",
"options": [
"\\(\\frac{1}{x^2} + \\frac{1}{y^2} + \\frac{1}{z^2} = 1\\)",
"\\(\\frac{1}{x^2} + \\frac{1}{y^2} + \\frac{1}{z^2} = 3\\)",
"\\(\\frac{1}{x^2} + \\frac{1}{y^2} + \\frac{1}{z^2} = \\frac{1}{9}\\)",
"\\(\\frac{1}{x^2} + \\frac{1}{y^2} + \\frac{1}{z^2} = 9\\)"
],
"answer": "1",
"original_question_num": "22"
},
{
"language": "hi",
"country": "India",
"file_name": "Mathematics-9th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 9,
"question": "\u092f\u0926\u093f \u0930\u0947\u0916\u093e, \\(\\frac{x-3}{1} = \\frac{y+2}{-1} = \\frac{z+\u03bb}{-2}\\), \u0938\u092e\u0924\u0932 \\(2x-4y+3z=2\\) \u092e\u0947\u0902 \u0938\u094d\u0925\u093f\u0924 \u0939\u0948, \u0924\u094b \u0907\u0938 \u0930\u0947\u0916\u093e \u0924\u0925\u093e \u0930\u0947\u0916\u093e \\(\\frac{x-1}{12} = \\frac{y}{9} = \\frac{z}{4}\\) \u0915\u0947 \u092c\u0940\u091a \u0915\u0940 \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0926\u0942\u0930\u0940 \u0939\u0948 :",
"options": [
"2",
"1",
"0",
"3"
],
"answer": "3",
"original_question_num": "23"
},
{
"language": "hi",
"country": "India",
"file_name": "Mathematics-9th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 10,
"question": "\u092f\u0926\u093f \u0938\u0926\u093f\u0936 b = 3j + 4k \u0915\u094b \u0938\u0926\u093f\u0936 a = i + j \u0915\u0947 \u0938\u092e\u093e\u0902\u0924\u0930 \u0938\u0926\u093f\u0936 b1 \u0924\u0925\u093e \u0938\u0926\u093f\u0936 a \u0915\u0947 \u0932\u0902\u092c\u0935\u0924 \u0938\u0926\u093f\u0936 b2 \u0915\u0947 \u092f\u094b\u0917 \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u0932\u093f\u0916\u093e \u091c\u093e\u090f, \u0924\u094b b1 \u00d7 b2 \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"-3i + 3j - 9k",
"6i - 6j + 9/2k",
"-6i + 6j - 9/2k",
"3i - 3j + 9k"
],
"answer": "3",
"original_question_num": "24"
},
{
"language": "hi",
"country": "India",
"file_name": "Mathematics-9th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 10,
"question": "10 \u092a\u0941\u0930\u0941\u0937 \u0924\u0925\u093e 5 \u092e\u0939\u093f\u0932\u093e\u0913\u0902 \u0915\u0947 \u090f\u0915 \u0938\u092e\u0942\u0939 \u092e\u0947\u0902 \u0938\u0947 \u091a\u093e\u0930 \u0938\u0926\u0938\u094d\u092f\u094b\u0902 \u0915\u0940 \u0910\u0938\u0940 \u0938\u092e\u093f\u0924\u093f\u092f\u093e\u0902 \u092c\u0928\u093e\u0928\u0940 \u0939\u0948 \u091c\u093f\u0928\u092e\u0947\u0902 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092e\u0947\u0902 \u0915\u092e \u0938\u0947 \u0915\u092e \u090f\u0915 \u092e\u0939\u093f\u0932\u093e \u0905\u0935\u0936\u094d\u092f \u0939\u094b\u0964 \u0907\u0928 \u0938\u092e\u093f\u0924\u093f\u092f\u094b\u0902 \u092e\u0947\u0902 \u092e\u0939\u093f\u0932\u093e\u0913\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u092a\u0941\u0930\u0941\u0937\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0938\u0947 \u0905\u0927\u093f\u0915 \u0939\u094b\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0939\u0948 :",
"options": [
"21/220",
"3/11",
"1/11",
"2/23"
],
"answer": "4",
"original_question_num": "25"
},
{
"language": "hi",
"country": "India",
"file_name": "Mathematics-9th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 5,
"question": "f(x) = x\u00b3 - 3x\u00b2 + 5x + 7 \u0926\u094d\u0935\u093e\u0930\u093e \u092a\u0930\u093f\u092d\u093e\u0937\u093f\u0924 \u092b\u0932\u0928 f :",
"options": [
"R \u092e\u0947\u0902 \u0935\u0930\u094d\u0927\u092e\u093e\u0928 \u0939\u0948\u0964",
"R \u092e\u0947\u0902 \u0915\u094d\u0937\u0940\u0923\u092e\u093e\u0928 \u0939\u0948\u0964",
"(0, \u221e) \u092e\u0947\u0902 \u0915\u094d\u0937\u0940\u0923\u092e\u093e\u0928 \u0924\u0925\u093e (\u2212 \u221e, 0) \u092e\u0947\u0902 \u0935\u0930\u094d\u0927\u092e\u093e\u0928 \u0939\u0948\u0964",
"(0, \u221e) \u092e\u0947\u0902 \u0935\u0930\u094d\u0927\u092e\u093e\u0928 \u0924\u0925\u093e (\u2212 \u221e, 0) \u092e\u0947\u0902 \u0915\u094d\u0937\u0940\u0923\u092e\u093e\u0928 \u0939\u0948\u0964"
],
"answer": "2",
"original_question_num": "12"
},
{
"language": "hi",
"country": "India",
"file_name": "Mathematics-9th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 5,
"question": "\u092e\u093e\u0928 \u0932\u0940\u091c\u093f\u090f \u090f\u0915 \u092c\u0939\u0941\u092a\u0926 \u092b\u0932\u0928 f \u0910\u0938\u093e \u0939\u0948 \u0915\u093f \u0938\u092d\u0940 x \u2208 R \u0915\u0947 \u0932\u093f\u090f f(3x) = f'(x) \u22c5 f''(x) \u0939\u0948, \u0924\u094b :",
"options": [
"f(2) + f'(2) = 28",
"f''(2) \u2212 f'(2) = 0",
"f''(2) \u2212 f(2) = 4",
"f(2) \u2212 f'(2) + f''(2) = 10"
],
"answer": "1",
"original_question_num": "13"
},
{
"language": "hi",
"country": "India",
"file_name": "Mathematics-9th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 5,
"question": "\u092f\u0926\u093f \u222b(3x - 4)/(3x + 4) dx = x + 2, x \u2260 -4/3 \u0924\u0925\u093e \u222bf(x) dx = A log|1 - x| + Bx + C \u0939\u0948, \u0924\u094b \u0915\u094d\u0930\u092e\u093f\u0924 \u092f\u0941\u0917\u094d\u092e (A, B) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"(8/3, 2/3)",
"(-8/3, 2/3)",
"(-8/3, -2/3)",
"(8/3, -2/3)"
],
"answer": "2",
"original_question_num": "14"
},
{
"language": "hi",
"country": "India",
"file_name": "Mathematics-9th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 4,
"question": "\u092f\u0926\u093f 2x = y^(1/5) + y^(-1/5) \u0924\u0925\u093e\n(x^2 - 1) d^2y/dx^2 + \u03bbx dy/dx + ky = 0 \u0939\u0948, \u0924\u094b \u03bb + k \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"-23",
"-24",
"26",
"-26"
],
"answer": "3",
"original_question_num": "11"
},
{
"language": "hi",
"country": "India",
"file_name": "Mathematics-9th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 11,
"question": "\u092e\u093e\u0928\u093e E \u0924\u0925\u093e F \u0926\u094b \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930 \u0918\u091f\u0928\u093e\u090f\u0901 \u0939\u0948\u0902\u0964 E \u0924\u0925\u093e F \u0926\u094b\u0928\u094b\u0902 \u0915\u0947 \u0918\u091f\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \\(\\frac{1}{12}\\) \u0939\u0948 \u0924\u0925\u093e \u0928 E \u0914\u0930 \u0928 \u0939\u0940 F \u0915\u0947 \u0918\u091f\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \\(\\frac{1}{2}\\) \u0939\u0948, \u0924\u094b \\(\\frac{P(E)}{P(F)}\\) \u0915\u093e \u090f\u0915 \u092e\u093e\u0928 \u0939\u0948 :",
"options": [
"\\(\\frac{4}{3}\\)",
"\\(\\frac{3}{2}\\)",
"\\(\\frac{1}{3}\\)",
"\\(\\frac{5}{12}\\)"
],
"answer": "4",
"original_question_num": "26"
},
{
"language": "hi",
"country": "India",
"file_name": "Mathematics-9th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 11,
"question": "100 \u092a\u094d\u0930\u0947\u0915\u094d\u0937\u0923\u094b\u0902 \u0915\u093e \u092f\u094b\u0917 \u0924\u0925\u093e \u0909\u0928\u0915\u0947 \u0935\u0930\u094d\u0917\u094b\u0902 \u0915\u093e \u092f\u094b\u0917 \u0915\u094d\u0930\u092e\u0936\u0903 400 \u0924\u0925\u093e 2475 \u0939\u0948\u0964 \u092c\u093e\u0926 \u092e\u0947\u0902 \u0924\u0940\u0928 \u092a\u094d\u0930\u0947\u0915\u094d\u0937\u0923 3, 4 \u0924\u0925\u093e 5 \u0917\u0932\u0924 \u092a\u093e\u090f \u0917\u090f\u0964 \u092f\u0926\u093f \u0917\u0932\u0924 \u092a\u094d\u0930\u0947\u0915\u094d\u0937\u0923\u094b\u0902 \u0915\u094b \u0939\u091f\u093e \u0926\u093f\u092f\u093e \u091c\u093e\u090f, \u0924\u094b \u0936\u0947\u0937 \u092a\u094d\u0930\u0947\u0915\u094d\u0937\u0923\u094b\u0902 \u0915\u093e \u092a\u094d\u0930\u0938\u0930\u0923 \u0939\u0948 :",
"options": [
"8.25",
"8.50",
"8.00",
"9.00"
],
"answer": "1",
"original_question_num": "27"
},
{
"language": "hi",
"country": "India",
"file_name": "Mathematics-9th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 8,
"question": "\u092f\u0926\u093f \u092c\u093f\u0902\u0926\u0941 P(4, 7) \u0938\u0947 \u0916\u0940\u0902\u091a\u0940 \u0917\u0908 \u090f\u0915 \u0930\u0947\u0916\u093e, \u0935\u0943\u0924\u094d\u0924 x\u00b2 + y\u00b2 = 9 \u0915\u094b \u092c\u093f\u0902\u0926\u0941\u0913\u0902 A \u0924\u0925\u093e B \u092a\u0930 \u0915\u093e\u091f\u0924\u0940 \u0939\u0948, \u0924\u094b PA\u00b7PB \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"53",
"56",
"74",
"65"
],
"answer": "3",
"original_question_num": "19"
},
{
"language": "hi",
"country": "India",
"file_name": "Mathematics-9th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 8,
"question": "\u090f\u0915 \u0926\u0940\u0930\u094d\u0918\u0935\u0943\u0924\u094d\u0924 \u091c\u093f\u0938\u0915\u093e \u0915\u0947\u0902\u0926\u094d\u0930 \u092e\u0942\u0932 \u092c\u093f\u0902\u0926\u0941 \u0939\u0948, \u0905\u0915\u094d\u0937 \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 \u0905\u0915\u094d\u0937 \u0939\u0948\u0902 \u0924\u0925\u093e \u091c\u094b \u092c\u093f\u0902\u0926\u0941\u0913\u0902 (4, -1) \u0924\u0925\u093e (-2, 2) \u0938\u0947 \u0939\u094b\u0915\u0930 \u091c\u093e\u0924\u093e \u0939\u0948, \u0915\u0940 \u0909\u0924\u094d\u0915\u0947\u0902\u0926\u094d\u0930\u0924\u093e (eccentricity) \u0939\u0948 :",
"options": [
"1/2",
"2/\u221a5",
"\u221a3/2",
"\u221a3/4"
],
"answer": "1",
"original_question_num": "20"
},
{
"language": "hi",
"country": "India",
"file_name": "Mathematics-9th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 8,
"question": "\u092f\u0926\u093f y = mx + c \u092a\u0930\u0935\u0932\u092f y\u00b2 = 8x \u0915\u0947 \u0909\u0938 \u092c\u093f\u0902\u0926\u0941 \u092a\u0930 \u0905\u092d\u093f\u0932\u0902\u092c \u0939\u0948 \u091c\u093f\u0938\u0915\u0940 \u0928\u093e\u092d\u093f \u0938\u0947 \u0926\u0942\u0930\u0940 8 \u0907\u0915\u093e\u0908 \u0939\u0948, \u0924\u094b |c| \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"2\u221a3",
"8\u221a3",
"10\u221a3",
"16\u221a3"
],
"answer": "2",
"original_question_num": "21"
},
{
"language": "hi",
"country": "India",
"file_name": "Mathematics-9th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 3,
"question": "\u091c\u0939\u093e\u0901 x \u2260 0, 1, \u0915\u0947 \u0926\u094d\u0935\u093f\u092a\u0926 \u0935\u093f\u0938\u094d\u0924\u093e\u0930 \u092e\u0947\u0902 x\u207b\u2075 \u0915\u093e \u0917\u0941\u0923\u093e\u0902\u0915 \u0939\u0948 :",
"options": [
"1",
"4",
"-4",
"-1"
],
"answer": "2",
"original_question_num": "7"
},
{
"language": "hi",
"country": "India",
"file_name": "Mathematics-9th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 3,
"question": "\u092f\u0926\u093f \u0924\u0940\u0928 \u0927\u0928\u093e\u0924\u094d\u092e\u0915 \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901 a, b \u0924\u0925\u093e c \u0938\u092e\u093e\u0902\u0924\u0930 \u0936\u094d\u0930\u0947\u0923\u0940 \u092e\u0947\u0902 \u0939\u0948\u0902 \u091c\u093f\u0928\u0915\u0947 \u0932\u093f\u090f abc = 8 \u0939\u0948, \u0924\u094b b \u0915\u093e \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0938\u0902\u092d\u0935 \u092e\u093e\u0928 \u0939\u0948 :",
"options": [
"2",
"4/3",
"2\u221a4/3",
"4"
],
"answer": "1",
"original_question_num": "8"
},
{
"language": "hi",
"country": "India",
"file_name": "Mathematics-9th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 3,
"question": "\u092e\u093e\u0928\u093e S\u2099 = 1/1\u00b3 + 1 + 2/1\u00b3 + 2\u00b3 + 1 + 2 + 3/1\u00b3 + 2\u00b3 + 3\u00b3 + ....... + 1 + 2 + ....... + n/1\u00b3 + 2\u00b3 + ....... + n\u00b3. \u092f\u0926\u093f 100 S\u2099 = n \u0939\u0948, \u0924\u094b n \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"199",
"99",
"200",
"19"
],
"answer": "4",
"original_question_num": "9"
},
{
"language": "hi",
"country": "India",
"file_name": "Mathematics-9th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 2,
"question": "\u0926\u094b 3 \u00d7 3 \u0906\u0935\u094d\u092f\u0942\u0939 A \u0924\u0925\u093e B \u0915\u0947 \u0932\u093f\u090f \u092e\u093e\u0928\u093e A + B = 2B' \u0924\u0925\u093e 3A + 2B = I\u2083 \u0939\u0948, \u091c\u0939\u093e\u0901 B' \u0906\u0935\u094d\u092f\u0942\u0939 B \u0915\u093e \u092a\u093e\u0930\u093f\u0935\u0930\u094d\u0924 \u0939\u0948 \u0924\u0925\u093e I\u2083 \u090f\u0915 3 \u00d7 3 \u0924\u093e\u0924\u094d\u0924\u094d\u0935\u093f\u0915 \u0906\u0935\u094d\u092f\u0942\u0939 \u0939\u0948, \u0924\u094b :",
"options": [
"5A + 10B = 2I\u2083",
"10A + 5B = 3I\u2083",
"B + 2A = I\u2083",
"3A + 6B = 2I\u2083"
],
"answer": "4",
"original_question_num": "4"
},
{
"language": "hi",
"country": "India",
"file_name": "Mathematics-9th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 2,
"question": "\u092f\u0926\u093f x = a, y = b, z = c \u0930\u0948\u0916\u093f\u0915 \u0938\u092e\u0940\u0915\u0930\u0923 \u0928\u093f\u0915\u093e\u092f x + 8y + 7z = 0 9x + 2y + 3z = 0 x + y + z = 0 \u0915\u093e \u090f\u0915 \u0910\u0938\u093e \u0939\u0932 \u0939\u0948 \u0915\u093f \u092c\u093f\u0902\u0926\u0941 (a, b, c) \u0938\u092e\u0924\u0932 x + 2y + z = 6 \u092a\u0930 \u0938\u094d\u0925\u093f\u0924 \u0939\u0948, \u0924\u094b 2a + b + c \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"\u22121",
"0",
"1",
"2"
],
"answer": "3",
"original_question_num": "5"
},
{
"language": "hi",
"country": "India",
"file_name": "Physics-9th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 9,
"question": "\u090f\u0915 \u0926\u094d\u0935\u093f\u092a\u0930\u092e\u093e\u0923\u0941\u0915 \u0917\u0948\u0938 \u0915\u0947 N \u092e\u094b\u0932 T \u0924\u093e\u092a\u092e\u093e\u0928 \u092a\u0930 \u090f\u0915 \u0938\u093f\u0932\u0947\u0902\u0921\u0930 \u092e\u0947\u0902 \u092c\u0902\u0926 \u0939\u0948\u0964 \u0938\u093f\u0932\u0947\u0902\u0921\u0930 \u092e\u0947\u0902 \u090a\u0937\u094d\u092e\u093e \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u092a\u094d\u0930\u0935\u093e\u0939\u093f\u0924 \u0915\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948 \u091c\u093f\u0938\u0938\u0947 \u0909\u0938 \u0926\u094d\u0935\u093f\u092a\u0930\u092e\u093e\u0923\u0941\u0915 \u0917\u0948\u0938 \u0915\u0947 n \u092e\u094b\u0932 \u090f\u0915\u092a\u0930\u092e\u093e\u0923\u0941\u0915 \u0917\u0948\u0938 \u092e\u0947\u0902 \u092c\u093f\u0928\u093e \u0924\u093e\u092a\u092e\u093e\u0928 \u092c\u0926\u0932\u0947 \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u093f\u0924 \u0939\u094b \u091c\u093e\u0924\u0947 \u0939\u0948\u0902\u0964 \u0917\u0948\u0938 \u0915\u0940 \u0915\u0941\u0932 \u0917\u0924\u093f\u091c \u090a\u0930\u094d\u091c\u093e \u092e\u0947\u0902 \u0915\u093f\u0924\u0928\u093e \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u0939\u094b\u0917\u093e ?",
"options": [
"\\(\\frac{1}{2}\\) nRT",
"0",
"\\(\\frac{3}{2}\\) nRT",
"\\(\\frac{5}{2}\\) nRT"
],
"answer": "2",
"original_question_num": "11"
},
{
"language": "hi",
"country": "India",
"file_name": "Physics-9th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 9,
"question": "0.1 kg \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 \u0915\u0947 \u090f\u0915 \u0917\u0941\u091f\u0915\u0947 \u0915\u094b \u090f\u0915 \u092a\u094d\u0930\u0924\u094d\u092f\u093e\u0938\u094d\u0925 \u0938\u094d\u092a\u094d\u0930\u093f\u0902\u0917, \u091c\u093f\u0938\u0915\u093e \u0938\u094d\u092a\u094d\u0930\u093f\u0902\u0917 \u0928\u093f\u092f\u0924\u093e\u0902\u0915 640 Nm\\(^{-1}\\) \u0939\u0948, \u0938\u0947 \u091c\u094b\u0921\u093c\u093e \u0917\u092f\u093e \u0939\u0948\u0964 \u092f\u0939 \u0917\u0941\u091f\u0915\u093e \u090f\u0915 \u0905\u092a\u0935\u092e\u093f\u0924 \u092e\u093e\u0927\u094d\u092f\u092e, \u091c\u093f\u0938\u0915\u093e \u0905\u092a\u0935\u092e\u093f\u0924 \u0917\u0941\u0923\u093e\u0902\u0915 \\(10^{-2}\\) kg s\\(^{-1}\\) \u0939\u0948, \u092e\u0947\u0902 \u0926\u094b\u0932\u0928 \u0917\u0924\u093f \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u092f\u0939 \u0928\u093f\u0915\u093e\u092f \u0927\u0940\u0930\u0947-\u0927\u0940\u0930\u0947 \u0905\u092a\u0928\u0940 \u090a\u0930\u094d\u091c\u093e \u0905\u092a\u0935\u092e\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u0928\u093f\u0915\u093e\u092f \u0915\u0947 \u0926\u094b\u0932\u0928 \u0915\u0940 \u092f\u093e\u0902\u0924\u094d\u0930\u093f\u0915 \u090a\u0930\u094d\u091c\u093e \u0915\u094b \u0909\u0938\u0915\u0947 \u0906\u0930\u0902\u092d\u093f\u0915 \u092e\u093e\u0928 \u0938\u0947 \u0906\u0927\u093e \u0939\u094b\u0928\u0947 \u092e\u0947\u0902 \u0932\u0917\u0928\u0947 \u0935\u093e\u0932\u0947 \u0938\u092e\u092f \u0915\u093e \u0928\u093f\u0915\u091f\u0924\u092e \u092e\u093e\u0928 \u0939\u094b\u0917\u093e :",
"options": [
"2 s",
"3.5 s",
"5 s",
"7 s"
],
"answer": "4",
"original_question_num": "12"
},
{
"language": "hi",
"country": "India",
"file_name": "Physics-9th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 12,
"question": "\u0932\u092e\u094d\u092c\u093e\u0908 l \u0924\u0925\u093e \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e r \u0915\u0947 \u090f\u0915\u0938\u092e\u093e\u0928 \u0924\u093e\u0930 \u0915\u093e \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927 100 \u03a9 \u0939\u0948\u0964 \u0907\u0938\u0915\u094b \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e r/2 \u0915\u0947 \u0924\u093e\u0930 \u092e\u0947\u0902 \u092a\u0941\u0928\u0903 \u0922\u093e\u0932\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0928\u092f\u0947 \u0924\u093e\u0930 \u0915\u093e \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927 \u0939\u094b\u0917\u093e:",
"options": [
"1600 \u03a9",
"400 \u03a9",
"200 \u03a9",
"100 \u03a9"
],
"answer": "4",
"original_question_num": "16"
},
{
"language": "hi",
"country": "India",
"file_name": "Physics-9th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 13,
"question": "\u090f\u0915 \u090b\u0923\u093e\u0924\u094d\u092e\u0915 \u092a\u0930\u0940\u0915\u094d\u0937\u0923 \u0906\u0935\u0947\u0936, \u090f\u0915 \u0938\u0940\u0927\u0940 \u0932\u092e\u094d\u092c\u0947 \u0924\u093e\u0930, \u091c\u093f\u0938\u092e\u0947\u0902 \u0927\u093e\u0930\u093e \u092c\u0939 \u0930\u0939\u0940 \u0939\u0948, \u0915\u0947 \u0928\u093f\u0915\u091f \u091a\u0932 \u0930\u0939\u093e \u0939\u0948\u0964 \u092a\u0930\u0940\u0915\u094d\u0937\u0923 \u0906\u0935\u0947\u0936 \u092a\u0930 \u0932\u0917\u0928\u0947 \u0935\u093e\u0932\u093e \u092c\u0932 \u0927\u093e\u0930\u093e \u0915\u0940 \u0926\u093f\u0936\u093e \u0915\u0947 \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u0939\u0948\u0964 \u0906\u0935\u0947\u0936 \u0915\u0940 \u0917\u0924\u093f \u0939\u094b\u0917\u0940 :",
"options": [
"\u0924\u093e\u0930 \u0938\u0947 \u0926\u0942\u0930",
"\u0924\u093e\u0930 \u0915\u0940 \u0913\u0930",
"\u0924\u093e\u0930 \u0938\u0947 \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u090f\u0935\u0902 \u0927\u093e\u0930\u093e \u0915\u0940 \u0926\u093f\u0936\u093e \u092e\u0947\u0902",
"\u0924\u093e\u0930 \u0915\u0947 \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u090f\u0935\u0902 \u0927\u093e\u0930\u093e \u0915\u0940 \u0935\u093f\u092a\u0930\u0940\u0924 \u0926\u093f\u0936\u093e \u092e\u0947\u0902"
],
"answer": "1",
"original_question_num": "18"
},
{
"language": "hi",
"country": "India",
"file_name": "Physics-9th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 18,
"question": "\u0924\u0930\u0902\u0917\u0926\u0948\u0930\u094d\u0927\u094d\u092f \u03bb \u0915\u0940 \u0924\u0930\u0902\u0917 \u0926\u094d\u0935\u093e\u0930\u093e \u090f\u0915 \u0938\u0902\u0926\u0947\u0936 \u0915\u094b \u090f\u0915 \u0910\u0915\u0930\u0947\u0916\u0940\u092f \u090f\u0902\u091f\u0940\u0928\u093e \u0938\u0947 \u092a\u094d\u0930\u0938\u093e\u0930\u093f\u0924 \u0915\u0930\u0928\u093e \u0939\u0948\u0964 \u090f\u0902\u091f\u0940\u0928\u093e \u0915\u0940 \u0932\u092e\u094d\u092c\u093e\u0908 l \u0924\u0925\u093e \u092a\u094d\u0930\u092d\u093e\u0935\u0940 \u0909\u0924\u094d\u0938\u0930\u094d\u091c\u093f\u0924 \u0936\u0915\u094d\u0924\u093f Peff \u0915\u093e \u0915\u094d\u0930\u092e\u0936\u0903 \u092e\u093e\u0928 \u0939\u094b\u0917\u093e : (K \u0938\u092e\u093e\u0928\u0941\u092a\u093e\u0924\u0940 \u0938\u094d\u0925\u093f\u0930\u093e\u0902\u0915 (constant of proportionality) \u0939\u0948)",
"options": [
"\u03bb, Peff = K (1/\u03bb)^2",
"\u03bb/8, Peff = K (1/\u03bb)",
"\u03bb/16, Peff = K (1/\u03bb)^3",
"\u03bb/5, Peff = K (1/\u03bb)^(1/2)"
],
"answer": "3",
"original_question_num": "28"
},
{
"language": "hi",
"country": "India",
"file_name": "Physics-9th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 15,
"question": "283 V \u0936\u093f\u0916\u0930 \u0935\u093f\u092d\u0935 \u0924\u0925\u093e 320 s\u207b\u00b9 \u0915\u094b\u0923\u0940\u092f \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u0935\u093e\u0932\u0947 \u090f\u0915 \u091c\u091f\u093f\u0932\u0924\u0930\u0902\u0917 \u0935\u093f\u092d\u0935 \u0915\u094b \u090f\u0915 \u0936\u094d\u0930\u0947\u0923\u0940 LCR \u092a\u0930\u093f\u092a\u0925 \u092e\u0947\u0902 \u0932\u0917\u093e\u092f\u093e \u0917\u092f\u093e \u0939\u0948\u0964 \u0926\u093f\u092f\u093e \u0939\u0948 R = 5 \u03a9, L = 25 mH \u0914\u0930 C = 1000 \u03bcF\u0964 \u092a\u0930\u093f\u092a\u0925 \u0915\u0940 \u0915\u0941\u0932 \u092a\u094d\u0930\u0924\u093f\u092c\u093e\u0927\u093e \u0924\u0925\u093e \u0938\u094d\u0930\u094b\u0924 \u0935\u093f\u092d\u0935 \u090f\u0935\u0902 \u0927\u093e\u0930\u093e \u0915\u0947 \u092c\u0940\u091a \u0915\u0932\u093e\u0902\u0924\u0930 \u0915\u094d\u0930\u092e\u0936\u0903 \u0939\u094b\u0917\u093e :",
"options": [
"10 \u03a9 \u0914\u0930 tan\u207b\u00b9(5/3)",
"7 \u03a9 \u0914\u0930 45\u00b0",
"10 \u03a9 \u0914\u0930 tan\u207b\u00b9(8/3)",
"7 \u03a9 \u0914\u0930 tan\u207b\u00b9(5/3)"
],
"answer": "2",
"original_question_num": "20"
},
{
"language": "hi",
"country": "India",
"file_name": "Physics-9th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 15,
"question": "\u0915\u093f\u0938\u0940 \u090f\u0915\u0930\u0902\u0917\u0940 \u0935\u093f\u0915\u093f\u0930\u0923 \u0915\u0947 \u0935\u0948\u0926\u094d\u092f\u0941\u0924 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0918\u091f\u0915 \u0915\u094b \u0928\u093f\u092e\u094d\u0928 \u092a\u094d\u0930\u0915\u093e\u0930 \u0938\u0947 \u0935\u094d\u092f\u0915\u094d\u0924 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948 E = 2 E\u2080 cos kz cos \u03c9t \u0909\u0938\u0915\u0947 \u091a\u0941\u0902\u092c\u0915\u0940\u092f \u0915\u094d\u0937\u0947\u0924\u094d\u0930 B \u0915\u093e \u092e\u093e\u0928 \u0939\u094b\u0917\u093e :",
"options": [
"2 E\u2080/c sin kz cos \u03c9t",
"- 2 E\u2080/c sin kz sin \u03c9t",
"2 E\u2080/c sin kz sin \u03c9t",
"2 E\u2080/c cos kz cos \u03c9t"
],
"answer": "3",
"original_question_num": "21"
},
{
"language": "hi",
"country": "India",
"file_name": "Physics-9th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 1,
"question": "\u090f\u0915 \u092d\u094c\u0924\u093f\u0915 \u0930\u093e\u0936\u093f P \u0928\u093f\u092e\u094d\u0928 \u0938\u0902\u092c\u0902\u0927 \u0926\u094d\u0935\u093e\u0930\u093e \u092a\u0930\u093f\u092d\u093e\u0937\u093f\u0924 \u0915\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948\u0964\n\\[ P = a^{1/2} b^2 c^3 d^{-4} \\]\n\u092f\u0926\u093f a, b, c \u0914\u0930 d \u0915\u0947 \u092e\u093e\u092a\u0928 \u092e\u0947\u0902 \u0938\u093e\u092a\u0947\u0915\u094d\u0937 \u0924\u094d\u0930\u0941\u091f\u093f \u0915\u094d\u0930\u092e\u0936\u0903 2%, 1%, 3% \u0914\u0930 5% \u0939\u094b \u0924\u094b P \u092e\u0947\u0902 \u0938\u093e\u092a\u0947\u0915\u094d\u0937 \u0924\u094d\u0930\u0941\u091f\u093f \u0939\u094b\u0917\u0940 :",
"options": [
"8%",
"12%",
"32%",
"25%"
],
"answer": "1",
"original_question_num": "1"
},
{
"language": "hi",
"country": "India",
"file_name": "Physics-9th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 1,
"question": "\u090f\u0915 \u0915\u093e\u0930 \u090f\u0915 \u0916\u0921\u093c\u0940 \u0939\u0941\u0908 \u092c\u0938 \u0938\u0947 200 m \u092a\u0940\u091b\u0947 \u0916\u0921\u093c\u0940 \u0939\u0948\u0964 \u0926\u094b\u0928\u094b\u0902 \u090f\u0915 \u0939\u0940 \u0915\u094d\u0937\u0923 \u0905\u0932\u0917-\u0905\u0932\u0917 \u0905\u0917\u094d\u0930\u0935\u0930\u094d\u0924\u0940 \u0924\u094d\u0935\u0930\u0923 \u0938\u0947 \u091a\u0932\u0928\u093e \u0936\u0941\u0930\u0942 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964 \u092c\u0938 \u0915\u093e \u0924\u094d\u0935\u0930\u0923 2 m/s\u00b2 \u0924\u0925\u093e \u0915\u093e\u0930 \u0915\u093e \u0924\u094d\u0935\u0930\u0923 4 m/s\u00b2 \u0939\u0948\u0964 \u0915\u093f\u0924\u0928\u0947 \u0938\u092e\u092f \u092c\u093e\u0926 \u092f\u0939 \u0915\u093e\u0930 \u092c\u0938 \u0924\u0915 \u092a\u0939\u0941\u0901\u091a\u0947\u0917\u0940 ?",
"options": [
"\\(\\sqrt{110}\\) s",
"\\(\\sqrt{120}\\) s",
"10 \\(\\sqrt{2}\\) s",
"15 s"
],
"answer": "4",
"original_question_num": "2"
},
{
"language": "hi",
"country": "India",
"file_name": "Physics-9th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 20,
"question": "\u090f\u0915 \u092a\u094d\u0930\u092f\u094b\u0917 \u092e\u0947\u0902, 1 m \u0932\u092e\u094d\u092c\u093e\u0908 \u0915\u0940 \u090f\u0915 \u0938\u0930\u0932 \u0932\u094b\u0932\u0915 \u0915\u093e \u0906\u0935\u0930\u094d\u0924 \u0915\u093e\u0932 \u0928\u093f\u0915\u093e\u0932\u0928\u0947 \u0939\u0947\u0924\u0941 \u0909\u0938\u0915\u094b r\u2081 \u0924\u0925\u093e r\u2082 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e\u0913\u0902 \u0915\u0947 \u0905\u0932\u0917-\u0905\u0932\u0917 \u0917\u094b\u0932\u093e\u0915\u093e\u0930 \u0932\u094b\u0932\u0915\u094b\u0902 \u0938\u0947 \u091c\u094b\u0921\u093c\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0926\u094b\u0928\u094b\u0902 \u0917\u094b\u0932\u093e\u0915\u093e\u0930 \u0932\u094b\u0932\u0915\u094b\u0902 \u0915\u093e \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 \u0935\u093f\u0924\u0930\u0923 \u090f\u0915 \u0938\u092e\u093e\u0928 \u0939\u0948\u0964 \u092f\u0926\u093f \u0906\u0935\u0930\u094d\u0924\u0915\u093e\u0932\u094b\u0902 \u0915\u093e \u0938\u093e\u092a\u0947\u0915\u094d\u0937 \u0905\u0902\u0924\u0930 5 \u00d7 10\u207b\u2074 s \u092a\u093e\u092f\u093e \u0917\u092f\u093e \u0939\u094b \u0924\u094b \u0909\u0928\u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e\u0913\u0902 \u092e\u0947\u0902 \u0905\u0928\u094d\u0924\u0930, |r\u2081 \u2013 r\u2082| \u0915\u093e \u0928\u093f\u0915\u091f\u0924\u092e \u092e\u093e\u0928 \u0939\u094b\u0917\u093e :",
"options": [
"1 cm",
"0.1 cm",
"0.5 cm",
"0.01 cm"
],
"answer": "2",
"original_question_num": "30"
},
{
"language": "hi",
"country": "India",
"file_name": "Physics-9th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 16,
"question": "\u090f\u0915 \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u0947 \u0926\u094c\u0930\u093e\u0928, 15 cm \u092b\u094b\u0915\u0932 \u0926\u0942\u0930\u0940 \u0915\u0947 \u090f\u0915 \u0909\u0924\u094d\u0924\u0932 \u0932\u0947\u0928\u094d\u0938 \u0915\u094b \u090f\u0915 \u092a\u094d\u0930\u0915\u093e\u0936\u0940\u092f \u092c\u0947\u0902\u091a \u092a\u0930 \u090f\u0915 \u0909\u0924\u094d\u0924\u0932 \u0926\u0930\u094d\u092a\u0923 \u0915\u0947 \u0938\u093e\u092e\u0928\u0947 5 cm \u0926\u0942\u0930 \u0938\u092e\u093e\u0915\u094d\u0937\u0940\u092f \u0938\u094d\u0925\u093f\u0924\u093f \u092e\u0947\u0902 \u0930\u0916\u093e \u0917\u092f\u093e \u0939\u0948\u0964 \u092f\u0926\u093f \u0935\u0938\u094d\u0924\u0941 \u090f\u0935\u0902 \u0909\u0938\u0915\u093e \u092a\u094d\u0930\u0924\u093f\u092c\u093f\u092e\u094d\u092c \u0938\u0902\u092f\u094b\u0917\u0940 \u0939\u094b \u091c\u093e\u0924\u0947 \u0939\u0948\u0902 \u091c\u092c \u0935\u0938\u094d\u0924\u0941 \u0924\u0925\u093e \u0909\u0938\u0915\u093e \u092a\u094d\u0930\u0924\u093f\u092c\u093f\u092e\u094d\u092c \u0938\u092e\u093e\u0928 \u0926\u0942\u0930\u0940 \u092a\u0930 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902\u0964 \u0909\u0924\u094d\u0924\u0932 \u0926\u0930\u094d\u092a\u0923 \u0915\u0940 \u092b\u094b\u0915\u0938 \u0926\u0942\u0930\u0940 \u0939\u094b\u0917\u0940 :",
"options": [
"27.5 cm",
"20.0 cm",
"25.0 cm",
"30.5 cm"
],
"answer": "1",
"original_question_num": "22"
},
{
"language": "hi",
"country": "India",
"file_name": "Physics-9th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 16,
"question": "0.1 mm \u091a\u094c\u0921\u093c\u093e\u0908 \u0915\u0940 \u090f\u0915 \u092b\u093e\u0902\u0915 6000 \u00c5 \u0924\u0930\u0902\u0917\u0926\u0948\u0930\u094d\u0918\u094d\u092f \u0915\u0947 \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u0915\u093f\u0930\u0923 \u092a\u0941\u0902\u091c \u0938\u0947 \u092a\u094d\u0930\u0915\u093e\u0936\u093f\u0924 \u0915\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948 \u0914\u0930 \u0935\u093f\u0935\u0930\u094d\u0924\u0928 \u092c\u0948\u0902\u0921 \u0915\u093e \u091a\u093f\u0924\u094d\u0930 0.5 m \u0926\u0942\u0930 \u0938\u094d\u0915\u094d\u0930\u0940\u0928 \u092a\u0930 \u0926\u0947\u0916\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0924\u0943\u0924\u0940\u092f \u0905\u0902\u0927\u0915\u093e\u0930 \u092c\u0948\u0902\u0921 \u0915\u0940 \u0915\u0947\u0928\u094d\u0926\u094d\u0930\u093f\u092f \u0926\u0940\u092a\u094d\u0924 \u092c\u0948\u0902\u0921 \u0938\u0947 \u0926\u0942\u0930\u0940 \u0939\u094b\u0917\u0940 :",
"options": [
"3 mm",
"9 mm",
"4.5 mm",
"1.5 mm"
],
"answer": "2",
"original_question_num": "23"
},
{
"language": "hi",
"country": "India",
"file_name": "Physics-9th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 16,
"question": "660 nm \u0924\u0930\u0902\u0917\u0926\u0948\u0930\u094d\u0918\u094d\u092f \u0915\u0940 \u090f\u0915 \u0932\u0947\u091c\u0930 \u0932\u093e\u0907\u091f \u0915\u094b \u0930\u0947\u091f\u093f\u0928\u093e \u0935\u093f\u091a\u094d\u091b\u0947\u0926\u0928 \u0915\u094b \u091c\u094b\u0921\u093c\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u092f\u0926\u093f 60 ms \u091a\u094c\u0921\u093c\u093e\u0908 \u090f\u0935\u0902 0.5 kW \u0936\u0915\u094d\u0924\u093f \u0915\u0947 \u0932\u0947\u091c\u0930 \u0938\u094d\u092a\u0928\u094d\u0926 (pulse) \u0915\u093e \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u093f\u092f\u093e \u091c\u093e\u092f\u0947 \u0924\u094b \u0909\u0938 \u0938\u094d\u092a\u0928\u094d\u0926 \u092e\u0947\u0902 \u092b\u094b\u091f\u0949\u0928\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0932\u0917\u092d\u0917 \u0939\u094b\u0917\u0940 : [\u092a\u094d\u0932\u093e\u0902\u0915 \u0928\u093f\u092f\u0924\u093e\u0902\u0915 h = 6.62 x 10\u207b\u00b3\u2074 Js]",
"options": [
"10\u00b2\u2070",
"10\u00b9\u2078",
"10\u00b2\u00b2",
"10\u00b9\u2079"
],
"answer": "4",
"original_question_num": "24"
},
{
"language": "hi",
"country": "India",
"file_name": "Physics-9th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 17,
"question": "\u0939\u093e\u0907\u0921\u094d\u0930\u094b\u091c\u0928 \u092a\u0930\u092e\u093e\u0923\u0941 \u0915\u0940 \u092a\u094d\u0930\u0925\u092e \u0915\u0915\u094d\u0937\u093e (n = 1) \u0915\u0947 \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928 \u0915\u093e \u0924\u094d\u0935\u0930\u0923 \u0939\u094b\u0917\u093e :",
"options": [
"\\(\\frac{h^2}{\u03c0^2m^2r^3}\\)",
"\\(\\frac{h^2}{8\u03c0^2m^2r^3}\\)",
"\\(\\frac{h^2}{4\u03c0^2m^2r^3}\\)",
"\\(\\frac{h^2}{4\u03c0m^2r^3}\\)"
],
"answer": "1",
"original_question_num": "25"
},
{
"language": "hi",
"country": "India",
"file_name": "Physics-9th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 17,
"question": "\u0915\u0932\u094d\u092a\u0928\u093e \u0915\u0940\u091c\u093f\u090f, \u090f\u0915 \u092d\u091f\u094d\u091f\u0940, \u091c\u094b\u0915\u093f \u0926\u093f\u090f \u0917\u090f \u0938\u0902\u092a\u0942\u0930\u094d\u0923 \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 \u0915\u094b \u090a\u0930\u094d\u091c\u093e \u092e\u0947\u0902 \u092c\u0926\u0932\u0924\u0940 \u0939\u0948 \u090f\u0935\u0902 10^9 watt \u0915\u0940 \u0936\u0915\u094d\u0924\u093f \u0938\u094d\u0924\u0930 \u092a\u0930 \u091a\u0932\u0924\u0940 \u0939\u0948\u0964 \u092d\u091f\u094d\u091f\u0940 \u092e\u0947\u0902 \u090f\u0915 \u0918\u0902\u091f\u0947 \u092e\u0947\u0902 \u0916\u0930\u094d\u091a \u0939\u094b\u0928\u0947 \u0935\u093e\u0932\u0947 \u0908\u0902\u0927\u0928 \u0915\u093e \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 \u0939\u094b\u0917\u093e :",
"options": [
"0.96 gm",
"0.8 gm",
"\\(4 \\times 10^{-2}\\) gm",
"\\(6.6 \\times 10^{-5}\\) gm"
],
"answer": "4",
"original_question_num": "26"
},
{
"language": "hi",
"country": "India",
"file_name": "Physics-9th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 17,
"question": "\u090f\u0915 \u0909\u092a\u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0909\u0924\u094d\u0938\u0930\u094d\u091c\u0915 \u092a\u094d\u0930\u0935\u0930\u094d\u0927\u0915 \u0915\u093e \u0927\u093e\u0930\u093e \u0932\u093e\u092d 69 \u0939\u0948\u0964 \u092f\u0926\u093f \u0909\u0924\u094d\u0938\u0930\u094d\u091c\u0915 \u0927\u093e\u0930\u093e \u0915\u093e \u092e\u093e\u0928 7.0 mA \u0939\u094b \u0924\u094b \u0938\u0902\u0917\u094d\u0930\u093e\u0939\u0915 \u0927\u093e\u0930\u093e \u0915\u093e \u092e\u093e\u0928 \u0939\u094b\u0917\u093e :",
"options": [
"9.6 mA",
"6.9 mA",
"0.69 mA",
"69 mA"
],
"answer": "4",
"original_question_num": "27"
},
{
"language": "hi",
"country": "India",
"file_name": "Physics-9th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 7,
"question": "\u0926\u094b \u0928\u0932\u093f\u0915\u093e\u090f\u0901 \u091c\u093f\u0928\u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e\u090f\u0901 \u0915\u094d\u0930\u092e\u0936\u0903 r\u2081 \u090f\u0935\u0902 r\u2082 \u0924\u0925\u093e \u0932\u092e\u094d\u092c\u093e\u0907\u092f\u093e\u0901, l\u2081 \u0935 l\u2082 \u0939\u0948\u0902, \u0915\u094b \u0936\u094d\u0930\u0947\u0923\u0940 \u0915\u094d\u0930\u092e \u092e\u0947\u0902 \u091c\u094b\u0921\u093c\u093e \u0917\u092f\u093e \u0939\u0948 \u0914\u0930 \u0909\u0928\u092e\u0947\u0902 \u090f\u0915 \u0926\u094d\u0930\u0935 \u0926\u094d\u0935\u093e\u0930\u093e \u0930\u0947\u0916\u0940\u092f \u092a\u094d\u0930\u0935\u093e\u0939 \u092e\u0947\u0902 \u092c\u0939\u0924\u093e \u0939\u0948\u0964 \u092a\u0939\u0932\u0940 \u0924\u0925\u093e \u0926\u0942\u0938\u0930\u0940 \u0928\u0932\u0940 \u0915\u0947 \u0938\u093f\u0930\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0915\u0947 \u0926\u093e\u092c\u093e\u0928\u094d\u0924\u0930 \u0915\u094d\u0930\u092e\u0936\u0903 P\u2081 \u0924\u0925\u093e P\u2082 \u0939\u0948\u0902\u0964 \u092f\u0926\u093f P\u2082 \u0915\u093e \u092e\u093e\u0928 4P\u2081 \u0924\u0925\u093e l\u2082 \u0915\u093e \u092e\u093e\u0928 l\u2081/4 \u0939\u094b \u0924\u094b \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e r\u2082 \u0915\u093e \u092e\u093e\u0928 \u0939\u094b\u0917\u093e :",
"options": [
"r\u2081",
"2r\u2081",
"4r\u2081",
"r\u2081/2"
],
"answer": "3",
"original_question_num": "9"
},
{
"language": "hi",
"country": "India",
"file_name": "Chemistry-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 3,
"question": "\u092f\u0926\u093f \u0939\u093e\u0907\u0921\u094d\u0930\u094b\u091c\u0928 \u092a\u0930\u092e\u093e\u0923\u0941 \u0915\u0940 \u0932\u093e\u0907\u092e\u0928 \u0936\u094d\u0930\u0947\u0923\u0940 \u0915\u0940 \u0932\u0918\u0941\u0924\u092e \u0924\u0930\u0902\u0917\u0926\u0948\u0930\u094d\u0918\u094d\u092f A \u0939\u094b \u0924\u094b He+ \u0915\u0940 \u092a\u093e\u0938\u094d\u091a\u0928 \u0936\u094d\u0930\u0947\u0923\u0940 \u0915\u0940 \u0926\u0940\u0930\u094d\u0918\u0924\u092e \u0924\u0930\u0902\u0917\u0926\u0948\u0930\u094d\u0918\u094d\u092f \u0939\u094b\u0917\u0940 :",
"options": [
"5A/9",
"9A/5",
"36A/5",
"36A/7"
],
"answer": "4",
"original_question_num": "6"
},
{
"language": "hi",
"country": "India",
"file_name": "Chemistry-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 3,
"question": "x \u0917\u094d\u0930\u093e\u092e \u092a\u093e\u0928\u0940 \u092e\u0947\u0902 5 \u0917\u094d\u0930\u093e\u092e \u0938\u094b\u0921\u093f\u092f\u092e \u0938\u0932\u094d\u092b\u0947\u091f \u0918\u094b\u0932\u093e \u0917\u092f\u093e\u0964 \u0917\u0932\u0928\u093e\u0902\u0915 \u092e\u0947\u0902 \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 3.82\u00b0C \u092a\u093e\u092f\u093e \u0917\u092f\u093e\u0964 \u092f\u0926\u093f Na2SO4 81.5% \u0906\u092f\u0928\u093f\u0924 \u0939\u094b\u0924\u093e \u0939\u0948 \u0924\u094b x \u0915\u093e \u0932\u0917\u092d\u0917 \u092e\u093e\u0928 \u0939\u0948 : (\u091c\u0932 \u0915\u0947 \u0932\u093f\u090f Kf = 1.86\u00b0C kg mol^-1) (\u092e\u094b\u0932\u0930 \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 : S = 32 g mol^-1 \u0924\u0925\u093e Na = 23 g mol^-1)",
"options": [
"15 g",
"25 g",
"45 g",
"65 g"
],
"answer": "1",
"original_question_num": "7"
},
{
"language": "hi",
"country": "India",
"file_name": "Chemistry-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 3,
"question": "\u090f\u0915 \u0926\u0941\u0930\u094d\u092c\u0932 \u0905\u092e\u094d\u0932 (HA) \u092e\u0947\u0902 \u0938\u094b\u0921\u093f\u092f\u092e \u0939\u093e\u0907\u0921\u094d\u0930\u094b\u0915\u094d\u0938\u093e\u0907\u0921 \u0935\u093f\u0932\u092f\u0928 \u092e\u093f\u0932\u093e\u0928\u0947 \u0938\u0947 pH 6 \u0915\u093e \u092c\u092b\u0930 \u092c\u0928\u0924\u093e \u0939\u0948\u0964 \u092f\u0926\u093f HA \u0915\u093e \u0906\u092f\u0928\u0940\u0915\u0930\u0923 \u0938\u094d\u0925\u093f\u0930\u093e\u0902\u0915 10^-5 \u0939\u0948 \u0924\u094b, \u092c\u092b\u0930 \u0935\u093f\u0932\u092f\u0928 \u092e\u0947\u0902 \u0932\u0935\u0923 \u0914\u0930 \u0905\u092e\u094d\u0932 \u0915\u0940 \u0938\u093e\u0902\u0926\u094d\u0930\u0924\u093e \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 \u0939\u094b\u0917\u093e :",
"options": [
"4 : 5",
"1 : 10",
"10 : 1",
"5 : 4"
],
"answer": "4",
"original_question_num": "8"
},
{
"language": "hi",
"country": "India",
"file_name": "Chemistry-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 2,
"question": "\u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u0947\u0902 \u0938\u0947 \u0905\u0938\u0924\u094d\u092f \u0915\u0925\u0928 \u0939\u0948 :",
"options": [
"\u0915\u092e \u0926\u093e\u092c \u092a\u0930, \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u0917\u0948\u0938\u0947\u0902, \u0906\u0926\u0930\u094d\u0936 \u0935\u094d\u092f\u0935\u0939\u093e\u0930 \u0926\u0930\u094d\u0936\u093e\u0924\u0940 \u0939\u0948\u0902\u0964",
"\u092c\u0939\u0941\u0924 \u0928\u093f\u092e\u094d\u0928 \u0924\u093e\u092a \u092a\u0930, \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u0917\u0948\u0938\u0947\u0902 \u0906\u0926\u0930\u094d\u0936 \u0935\u094d\u092f\u0935\u0939\u093e\u0930 \u0926\u0930\u094d\u0936\u093e\u0924\u0940 \u0939\u0948\u0902\u0964",
"\u0905\u0927\u093f\u0915 \u092c\u0921\u093c\u0947 \u0906\u092f\u0924\u0928 \u092a\u0930, \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u0917\u0948\u0938\u0947\u0902 \u0906\u0926\u0930\u094d\u0936 \u0935\u094d\u092f\u0935\u0939\u093e\u0930 \u0926\u0930\u094d\u0936\u093e\u0924\u0940 \u0939\u0948\u0902\u0964",
"\u092c\u0949\u092f\u0932 \u0924\u093e\u092a \u092a\u0930, \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u0917\u0948\u0938\u0947\u0902 \u0906\u0926\u0930\u094d\u0936 \u0935\u094d\u092f\u0935\u0939\u093e\u0930 \u0926\u0930\u094d\u0936\u093e\u0924\u0940 \u0939\u0948\u0902\u0964"
],
"answer": "3",
"original_question_num": "3"
},
{
"language": "hi",
"country": "India",
"file_name": "Chemistry-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 2,
"question": "\u090f\u0915 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e A(g) \u2192 A(l) \u0915\u0947 \u0932\u093f\u090f \u0394H = \u22123RT. \u0907\u0938 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0947 \u0932\u093f\u092f\u0947 \u0938\u0939\u0940 \u0915\u0925\u0928 \u0939\u0948 :",
"options": [
"\u0394H = \u0394U+O",
"\u0394H = \u0394U = O",
"|\u0394H| < |\u0394U|",
"|\u0394H| > |\u0394U|"
],
"answer": "2",
"original_question_num": "4"
},
{
"language": "hi",
"country": "India",
"file_name": "Chemistry-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 9,
"question": "\u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u0947\u0902 \u0938\u0947 \u0906\u0935\u0936\u094d\u092f\u0915 \u090f\u092e\u093f\u0928\u094b \u0905\u092e\u094d\u0932 \u0939\u0948 :",
"options": [
"\u0910\u0932\u093e\u0928\u093f\u0928",
"\u0935\u0948\u0932\u0940\u0928",
"\u0910\u0938\u094d\u092a\u093e\u0930\u094d\u091f\u093f\u0915 \u0905\u092e\u094d\u0932",
"\u0938\u0947\u0930\u0940\u0928"
],
"answer": "4",
"original_question_num": "24"
},
{
"language": "hi",
"country": "India",
"file_name": "Chemistry-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 5,
"question": "\u091c\u093f\u0938 \u092f\u094c\u0917\u093f\u0915 \u092f\u0941\u0917\u094d\u092e \u092e\u0947\u0902, \u0927\u093e\u0924\u0941\u090f\u0901 \u0905\u092a\u0928\u0940 \u0909\u091a\u094d\u091a\u0924\u092e \u0911\u0915\u094d\u0938\u0940\u0915\u0930\u0923 \u0905\u0935\u0938\u094d\u0925\u093e \u092e\u0947\u0902 \u0939\u0948\u0902, \u0935\u0939 \u0939\u0948 :",
"options": [
"MnO\u2082 \u0924\u0925\u093e CrO\u2082Cl\u2082",
"[NiCl\u2084]\u00b2\u207b \u0924\u0925\u093e [CoCl\u2084]\u00b2\u207b",
"[Fe(CN)\u2086]\u00b3\u207b \u0924\u0925\u093e [Cu(CN)\u2084]\u00b2\u207b",
"[FeCl\u2084]\u207b \u0924\u0925\u093e Co\u2082O\u2083"
],
"answer": "1",
"original_question_num": "12"
},
{
"language": "hi",
"country": "India",
"file_name": "Chemistry-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 5,
"question": "\u091c\u093f\u0938\u0915\u0947 \u0926\u094d\u0935\u093e\u0930\u093e sp\u00b3d\u00b2 \u0938\u0902\u0915\u0930\u0923 \u0928\u0939\u0940\u0902 \u0926\u0930\u094d\u0936\u093e\u092f\u093e \u091c\u093e\u0924\u093e, \u0935\u0939 \u0939\u0948 :",
"options": [
"BrF\u2085",
"SF\u2086",
"[CrF\u2086]\u00b3\u207b",
"PF\u2085"
],
"answer": "4",
"original_question_num": "13"
},
{
"language": "hi",
"country": "India",
"file_name": "Chemistry-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 5,
"question": "\u0935\u0939 \u092a\u094d\u0930\u0926\u0942\u0937\u0915 \u0917\u0948\u0938\u0947\u0902 \u092a\u0939\u091a\u093e\u0928\u093f\u092f\u0947 \u091c\u094b \u0924\u093e\u091c\u092e\u0939\u0932 \u0915\u0947 \u0938\u0902\u0917\u092e\u0930\u092e\u0930 \u0915\u0947 \u092e\u091f\u093f\u092f\u093e\u0932\u0947 \u0935 \u092c\u0947\u0930\u0902\u0917 \u0939\u094b\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092e\u0941\u0916\u094d\u092f\u0924\u0903 \u0909\u0924\u094d\u0924\u0930\u0926\u093e\u092f\u0940 \u0939\u0948\u0902\u0964",
"options": [
"O\u2083 \u0924\u0925\u093e CO\u2082",
"CO\u2082 \u0924\u0925\u093e NO\u2082",
"SO\u2082 \u0924\u0925\u093e NO\u2082",
"SO\u2082 \u0924\u0925\u093e O\u2083"
],
"answer": "4",
"original_question_num": "14"
},
{
"language": "hi",
"country": "India",
"file_name": "Chemistry-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 5,
"question": "\u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u0947\u0902 \u0938\u0947 \u0915\u093f\u0938 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u092e\u0947\u0902 \u0939\u093e\u0907\u0921\u094d\u0930\u094b\u091c\u0928 \u092a\u0947\u0930\u0911\u0915\u094d\u0938\u093e\u0907\u0921 \u0911\u0915\u094d\u0938\u0940\u0915\u093e\u0930\u0915 \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u0915\u093e\u0930\u094d\u092f \u0915\u0930\u0924\u0940 \u0939\u0948 ?",
"options": [
"HOCl + H\u2082O\u2082 \u2192 H\u2083O\u207a + Cl\u207b + O\u2082",
"I\u2082 + H\u2082O\u2082 + 2OH\u207b \u2192 2I\u207b + 2H\u2082O + O\u2082",
"2MnO\u2084\u207b + 3H\u2082O\u2082 \u2192 2MnO\u2082 + 3O\u2082 + 2H\u2082O + 2OH\u207b",
"PbS + 4H\u2082O\u2082 \u2192 PbSO\u2084 + 4H\u2082O"
],
"answer": "3",
"original_question_num": "15"
},
{
"language": "hi",
"country": "India",
"file_name": "Chemistry-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 4,
"question": "\u090f\u0915 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e A \u0915\u0940 \u0926\u0930, \u0924\u093e\u092a \u0915\u094b 300 \u0938\u0947 310 K \u0924\u0915 \u092c\u0922\u093c\u093e\u0928\u0947 \u092a\u0930 \u0926\u0941\u0917\u0928\u0940 \u0939\u094b \u091c\u093e\u0924\u0940 \u0939\u0948\u0964 300 K \u0938\u0947 \u0924\u093e\u092a \u0915\u093f\u0924\u0928\u093e \u092c\u0922\u093c\u093e\u092f\u093e \u091c\u093e\u092f\u0947 \u0915\u093f \u090f\u0915 \u0926\u0942\u0938\u0930\u0940 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e B \u0915\u0940 \u0926\u0930 \u092d\u0940 \u0926\u0941\u0917\u0928\u0940 \u0939\u094b \u091c\u093e\u092f\u0947 \u092f\u0926\u093f \u0907\u0938 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e B \u0915\u0940 \u0938\u0915\u094d\u0930\u093f\u092f\u0923 \u090a\u0930\u094d\u091c\u093e \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e A \u0938\u0947 \u0926\u0941\u0917\u0928\u0940 \u0939\u094b\u0964",
"options": [
"9.84 K",
"4.92 K",
"2.45 K",
"19.67 K"
],
"answer": "2",
"original_question_num": "9"
},
{
"language": "hi",
"country": "India",
"file_name": "Chemistry-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 4,
"question": "5\u00b0C \u092a\u0930 1 \u092e\u094b\u0932 \u091c\u0932 \u0915\u0947 \u0939\u093f\u092e \u0938\u0947 -5\u00b0C \u092a\u0930 \u092c\u0930\u094d\u092b \u092c\u0928\u093e\u0928\u0947 \u092e\u0947\u0902 \u090f\u0928\u094d\u0925\u0948\u0932\u094d\u092a\u0940 \u0915\u093e \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u0939\u094b\u0917\u093e :",
"options": [
"5.44 kJ mol\u207b\u00b9",
"5.81 kJ mol\u207b\u00b9",
"6.56 kJ mol\u207b\u00b9",
"6.00 kJ mol\u207b\u00b9"
],
"answer": "3",
"original_question_num": "10"
},
{
"language": "hi",
"country": "India",
"file_name": "Chemistry-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 4,
"question": "\u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928 \u0938\u093e \u0905\u0928\u0941\u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u0939\u0948 ?",
"options": [
"NO\u207a",
"CO",
"O\u2082\u00b2\u207b",
"B\u2082"
],
"answer": "1",
"original_question_num": "11"
},
{
"language": "hi",
"country": "India",
"file_name": "Chemistry-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 8,
"question": "\u0914\u0937\u0927-\u092a\u094d\u0930\u0947\u0930\u093f\u0924 \u0935\u093f\u0937\u093e\u0915\u094d\u0924\u0940\u0915\u0930\u0923 \u0915\u093e \u0915\u093e\u0930\u0923 \u0939\u0948 :",
"options": [
"\u090f\u0928\u094d\u091c\u093e\u0907\u092e \u0915\u0940 \u0938\u0915\u094d\u0930\u093f\u092f \u0938\u0924\u0939 \u092a\u0930 \u0909\u0924\u094d\u0915\u094d\u0930\u092e\u0923\u0940\u092f \u0938\u0902\u092f\u094b\u091c\u0928",
"\u090f\u0928\u094d\u091c\u093e\u0907\u092e \u0915\u0940 \u092c\u0902\u0927\u0928 \u0938\u094d\u0925\u0932 \u092e\u0947\u0902 \u0938\u0902\u0930\u091a\u0928\u093e\u0924\u094d\u092e\u0915 \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928",
"\u090f\u0928\u094d\u091c\u093e\u0907\u092e \u0915\u0940 \u0938\u0915\u094d\u0930\u093f\u092f \u0938\u0924\u0939 \u092a\u0930 \u0905\u0928\u0941\u0924\u094d\u0915\u094d\u0930\u092e\u0923\u0940\u092f \u0938\u0902\u092f\u094b\u091c\u0928",
"\u090f\u0928\u094d\u091c\u093e\u0907\u092e \u0915\u0940 \u090f\u0932\u094b\u0938\u094d\u091f\u0947\u0930\u093f\u0915 \u0938\u094d\u0925\u0932\u094b\u0902 \u092a\u0930 \u0938\u0902\u092f\u094b\u091c\u0928"
],
"answer": "2",
"original_question_num": "22"
},
{
"language": "hi",
"country": "India",
"file_name": "Chemistry-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 7,
"question": "\u090f\u0915 \u0927\u093e\u0924\u0941 'M', \u0928\u093e\u0907\u091f\u094d\u0930\u094b\u091c\u0928 \u0917\u0948\u0938 \u0915\u0947 \u0938\u093e\u0925 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0930\u0915\u0947 M\u2083N\u2082 \u0909\u0924\u094d\u092a\u0928\u094d\u0928 \u0915\u0930\u0924\u0940 \u0939\u0948\u0964 \u0909\u091a\u094d\u091a \u0924\u093e\u092a \u092a\u0930 \u0917\u0930\u094d\u092e \u0915\u0930\u0928\u0947 \u092a\u0930 M\u2083N\u2082 \u0935\u093e\u092a\u0938 \u0927\u093e\u0924\u0941 M \u092c\u0928\u093e\u0924\u093e \u0939\u0948 \u0924\u0925\u093e \u092f\u0939 \u091c\u0932 \u0915\u0947 \u0938\u093e\u0925 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0930\u0915\u0947 \u090f\u0915 \u0917\u0948\u0938 B \u0909\u0924\u094d\u092a\u0928\u094d\u0928 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u0917\u0948\u0938 B, \u091c\u0932\u0940\u092f CuSO\u2084 \u0915\u0947 \u0938\u093e\u0925 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0930\u0915\u0947 \u090f\u0915 \u0917\u0939\u0930\u0947 \u0928\u0940\u0932\u0947 \u0930\u0902\u0917 \u0915\u093e \u092f\u094c\u0917\u093f\u0915 \u0909\u0924\u094d\u092a\u0928\u094d\u0928 \u0915\u0930\u0924\u0940 \u0939\u0948\u0964 'M' \u0924\u0925\u093e 'B' \u0915\u094d\u0930\u092e\u0936\u0903 \u0939\u0948\u0902 :",
"options": [
"Li \u0924\u0925\u093e NH\u2083",
"Ba \u0924\u0925\u093e N\u2082",
"Na \u0924\u0925\u093e NH\u2083",
"Al \u0924\u0925\u093e N\u2082"
],
"answer": "2",
"original_question_num": "18"
},
{
"language": "hi",
"country": "India",
"file_name": "Chemistry-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 7,
"question": "\u092a\u0930\u0911\u0915\u094d\u0938\u094b\u0921\u093f\u0938\u0932\u094d\u092b\u094d\u092f\u0942\u0930\u093f\u0915 \u0905\u092e\u094d\u0932 \u0924\u0925\u093e \u092a\u093e\u092f\u0930\u094b\u0938\u0932\u094d\u092b\u094d\u092f\u0942\u0930\u093f\u0915 \u0905\u092e\u094d\u0932 \u092e\u0947\u0902 \u0935\u093f\u0926\u094d\u092f\u092e\u093e\u0928 S=O \u0924\u0925\u093e S-OH \u0906\u092c\u0902\u0927\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901 \u0915\u094d\u0930\u092e\u0936\u0903 \u0939\u0948\u0902 :",
"options": [
"(2 \u0924\u0925\u093e 2) \u0924\u0925\u093e (2 \u0924\u0925\u093e 2)",
"(2 \u0924\u0925\u093e 4) \u0924\u0925\u093e (2 \u0924\u0925\u093e 4)",
"(4 \u0924\u0925\u093e 2) \u0924\u0925\u093e (2 \u0924\u0925\u093e 4)",
"(4 \u0924\u0925\u093e 2) \u0924\u0925\u093e (4 \u0924\u0925\u093e 2)"
],
"answer": "1",
"original_question_num": "19"
},
{
"language": "hi",
"country": "India",
"file_name": "Chemistry-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 7,
"question": "\u090f\u0915 \u0935\u093f\u0932\u092f\u0928 \u091c\u093f\u0938\u092e\u0947\u0902 \u0938\u092e\u0942\u0939-IV \u0915\u093e \u090f\u0915 \u0927\u0928\u093e\u092f\u0928 \u0935\u093f\u0926\u094d\u092f\u092e\u093e\u0928 \u0939\u0948, H\u2082S \u092a\u094d\u0930\u0935\u093e\u0939\u093f\u0924 \u0915\u0930\u0928\u0947 \u092a\u0930 \u090f\u0915 \u0905\u0935\u0915\u094d\u0937\u0947\u092a \u0909\u0924\u094d\u092a\u0928\u094d\u0928 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u0907\u0938 \u0905\u0935\u0915\u094d\u0937\u0947\u092a \u0915\u093e \u0924\u0928\u0941 HCl \u092e\u0947\u0902 \u092c\u0928\u093e \u0935\u093f\u0932\u092f\u0928, NaOH \u0915\u0947 \u0938\u093e\u0925 \u090f\u0915 \u0936\u094d\u0935\u0947\u0924 \u0905\u0935\u0915\u094d\u0937\u0947\u092a \u0924\u0925\u093e \u0915\u094d\u0937\u093e\u0930\u0940\u092f \u092a\u094b\u091f\u0948\u0936\u093f\u092f\u092e \u092b\u0947\u0930\u094b\u0938\u093e\u0907\u0928\u093e\u0907\u0921 \u0915\u0947 \u0938\u093e\u0925 \u0928\u0940\u0932\u093e-\u0938\u092b\u0947\u0926 \u0905\u0935\u0915\u094d\u0937\u0947\u092a \u0909\u0924\u094d\u092a\u0928\u094d\u0928 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u092f\u0939 \u0927\u0928\u093e\u092f\u0928 \u0939\u0948 :",
"options": [
"Co\u00b2\u207a",
"Ni\u00b2\u207a",
"Mn\u00b2\u207a",
"Zn\u00b2\u207a"
],
"answer": "3",
"original_question_num": "20"
},
{
"language": "hi",
"country": "India",
"file_name": "Chemistry-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 11,
"question": "\u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u093e \u092e\u0941\u0916\u094d\u092f \u0909\u0924\u094d\u092a\u093e\u0926 \u0939\u0948 :",
"options": [
"CH\u2082 = CHCH\u2082CH = CHCH\u2083",
"CH\u2082 = CHCH = CHCH\u2082CH\u2083",
"CH\u2083CH = C = CHCH\u2082CH\u2083",
"CH\u2083CH = CH - CH = CHCH\u2083"
],
"answer": "1",
"original_question_num": "26"
},
{
"language": "hi",
"country": "India",
"file_name": "Chemistry-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 11,
"question": "\u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928 \u0938\u093e \u0915\u0925\u0928 \u0935\u093f\u0924\u0930\u0923 \u0935\u0930\u094d\u0923\u0932\u0947\u0916\u0928 \u0915\u0947 \u092c\u093e\u0930\u0947 \u092e\u0947\u0902 \u0938\u0924\u094d\u092f \u0928\u0939\u0940\u0902 \u0939\u0948 ?",
"options": [
"\u0917\u0924\u093f\u0936\u0940\u0932 \u092a\u094d\u0930\u093e\u0935\u0938\u094d\u0925\u093e \u090f\u0915 \u0917\u0948\u0938 \u0939\u094b \u0938\u0915\u0924\u0940 \u0939\u0948\u0964",
"\u0938\u094d\u0925\u093f\u0930 \u092a\u094d\u0930\u093e\u0935\u0938\u094d\u0925\u093e \u090f\u0915 \u092c\u0939\u0941\u0924 \u092e\u0939\u0940\u0928 \u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0920\u094b\u0938 \u0905\u0935\u0936\u094b\u0937\u0915 \u0939\u094b\u0924\u093e \u0939\u0948\u0964",
"\u092a\u094d\u0930\u0915\u094d\u0930\u092e\u0915\u0930\u0923 \u090f\u0915 \u0917\u0924\u093f\u0936\u0940\u0932 \u0924\u0925\u093e \u0938\u094d\u0925\u093f\u0930 \u092a\u094d\u0930\u093e\u0935\u0938\u094d\u0925\u093e \u0915\u0947 \u092c\u0940\u091a \u0935\u093f\u0932\u0947\u092f \u0915\u0947 \u0938\u093e\u092e\u094d\u092f \u092a\u0930 \u0928\u093f\u0930\u094d\u092d\u0930 \u0915\u0930\u0924\u093e \u0939\u0948\u0964",
"\u0915\u093e\u0917\u091c \u0935\u0930\u094d\u0923\u0932\u0947\u0916\u0928, \u0935\u093f\u0924\u0930\u0923 \u0935\u0930\u094d\u0923\u0932\u0947\u0916\u0928 \u0915\u093e \u090f\u0915 \u0909\u0926\u093e\u0939\u0930\u0923 \u0939\u0948\u0964"
],
"answer": "1",
"original_question_num": "27"
},
{
"language": "hi",
"country": "India",
"file_name": "Chemistry-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 1,
"question": "\u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u0947\u0902 \u0938\u0947 \u0938\u0939\u0940 \u0915\u0925\u0928 \u0939\u0948 :",
"options": [
"\u092c\u094d\u0930\u093e\u0909\u0928\u093f\u092f\u0928 \u0917\u0924\u093f \u092c\u0921\u093c\u0947 \u0915\u0923\u094b\u0902 \u0915\u0940 \u0924\u0941\u0932\u0928\u093e \u092e\u0947\u0902 \u091b\u094b\u091f\u0947 \u0915\u0923\u094b\u0902 \u092e\u0947\u0902 \u0905\u0927\u093f\u0915 \u0926\u093f\u0916\u093e\u0908 \u0926\u0947\u0924\u0940 \u0939\u0948\u0964",
"\u0927\u093e\u0924\u0941 \u0938\u0932\u094d\u092b\u093e\u0907\u0921\u094b\u0902 \u0915\u0947 \u0938\u0949\u0932\u094d\u0938 \u0932\u0935\u0923\u0940\u092f \u0939\u094b\u0924\u0947 \u0939\u0948\u0902\u0964",
"\u0939\u093e\u0930\u094d\u0921\u0940-\u0936\u0941\u0932\u094d\u0915\u0947 \u0915\u0947 \u0928\u093f\u092f\u092e \u0915\u0947 \u0905\u0928\u0941\u0938\u093e\u0930 \u0915\u093f\u0938\u0940 \u0906\u092f\u0928 \u0915\u093e \u091c\u093f\u0924\u0928\u093e \u0905\u0927\u093f\u0915 \u0906\u092f\u093e\u092e \u0939\u094b \u0909\u0938\u0915\u0940 \u0938\u094d\u0915\u0902\u0926\u0928 \u0936\u0915\u094d\u0924\u093f \u092d\u0940 \u0909\u0924\u0928\u0940 \u0939\u0940 \u0905\u0927\u093f\u0915 \u0939\u094b\u0917\u0940\u0964",
"\u0910\u0938\u0940 \u0906\u0936\u093e \u0915\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948 \u0915\u093f \u091a\u093e\u0930\u0915\u094b\u0932, \u0939\u093e\u0907\u0921\u094d\u0930\u094b\u091c\u0928 \u0938\u0932\u094d\u092b\u093e\u0907\u0921 \u0915\u0940 \u0924\u0941\u0932\u0928\u093e \u092e\u0947\u0902 \u0915\u094d\u0932\u094b\u0930\u0940\u0928 \u0915\u093e \u0905\u0927\u093f\u0915 \u0905\u0935\u0936\u094b\u0937\u0923 \u0915\u0930\u0947\u0917\u093e\u0964"
],
"answer": "2",
"original_question_num": "1"
},
{
"language": "hi",
"country": "India",
"file_name": "Chemistry-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 1,
"question": "100 mL FeCl\u2083 (\u091c\u0932\u0940\u092f) \u092e\u0947\u0902 NaOH (\u091c\u0932\u0940\u092f) \u0915\u094b \u0906\u0927\u093f\u0915\u094d\u092f \u092e\u0947\u0902 \u0921\u093e\u0932\u0928\u0947 \u092a\u0930 2.14 g Fe(OH)\u2083 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u094b\u0924\u093e \u0939\u0948\u0964 FeCl\u2083 (\u091c\u0932\u0940\u092f) \u0915\u0940 \u092e\u094b\u0932\u0930\u0924\u093e \u0939\u0948, (\u0926\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948 : Fe \u0915\u093e \u092e\u094b\u0932\u0930 \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 = 56 g mol\u207b\u00b9 \u0924\u0925\u093e Cl \u0915\u093e \u092e\u094b\u0932\u0930 \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 = 35.5 g mol\u207b\u00b9)",
"options": [
"0.2 M",
"0.3 M",
"0.6 M",
"1.8 M"
],
"answer": "1",
"original_question_num": "2"
},
{
"language": "hi",
"country": "India",
"file_name": "Mathematics-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Maths-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 1,
"question": "\u092e\u093e\u0928 f(x) = 2^10.x + 1 \u0924\u0925\u093e g(x) = 3^10.x - 1 \u092f\u0926\u093f (fog)(x) = x \u0939\u0948, \u0924\u094b x \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"\\(\\frac{3^{10} - 1}{3^{10} - 2^{-10}}\\)",
"\\(\\frac{2^{10} - 1}{2^{10} - 3^{-10}}\\)",
"\\(\\frac{1 - 3^{-10}}{2^{10} - 3^{-10}}\\)",
"\\(\\frac{1 - 2^{-10}}{3^{10} - 2^{-10}}\\)"
],
"answer": "1",
"original_question_num": "1"
},
{
"language": "hi",
"country": "India",
"file_name": "Mathematics-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Maths-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 1,
"question": "\u092e\u093e\u0928 p(x) \u0910\u0938\u093e \u090f\u0915 \u0926\u094d\u0935\u093f\u0918\u093e\u0924 \u092c\u0939\u0941\u092a\u0926 \u0939\u0948 \u091c\u093f\u0938\u0915\u0947 \u0932\u093f\u092f\u0947 p(0) = 1 \u0939\u0948\u0964 \u092f\u0926\u093f p(x) \u0915\u094b x - 1 \u0938\u0947 \u092d\u093e\u0917 \u0926\u0947\u0928\u0947 \u092a\u0930 4 \u0936\u0947\u0937 \u0930\u0939\u0924\u093e \u0939\u0948 \u0924\u0925\u093e x + 1 \u0938\u0947 \u092d\u093e\u0917 \u0926\u0947\u0928\u0947 \u092a\u0930 6 \u0936\u0947\u0937 \u092c\u091a\u0924\u093e \u0939\u0948, \u0924\u094b :",
"options": [
"p(2) = 11",
"p(2) = 19",
"p(-2) = 19",
"p(-2) = 11"
],
"answer": "3",
"original_question_num": "2"
},
{
"language": "hi",
"country": "India",
"file_name": "Mathematics-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Maths-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 12,
"question": "\u0924\u0940\u0928 \u0935\u094d\u092f\u0915\u094d\u0924\u093f P, Q \u0924\u0925\u093e R \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930 \u0930\u0942\u092a \u0938\u0947 \u090f\u0915 \u0928\u093f\u0936\u093e\u0928\u0947 \u0915\u094b \u092d\u0947\u0926\u0928\u0947 \u0915\u093e \u092a\u094d\u0930\u092f\u093e\u0938 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964 \u092f\u0926\u093f \u0909\u0928\u0915\u0947 \u0928\u093f\u0936\u093e\u0928\u0947 \u0915\u094b \u092d\u0947\u0926 \u092a\u093e\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e\u090f\u0901 \u0915\u094d\u0930\u092e\u0936\u0903 3/4, 1/2 \u0924\u0925\u093e 5/8 \u0939\u0948\u0902, \u0924\u094b P \u0905\u0925\u0935\u093e Q \u0915\u0947 \u0928\u093f\u0936\u093e\u0928\u093e \u092d\u0947\u0926 \u092a\u093e\u0928\u0947 \u092a\u0930\u0928\u094d\u0924\u0941 R \u0915\u0947 \u0928\u093f\u0936\u093e\u0928\u093e \u0928 \u092d\u0947\u0926 \u092a\u093e\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0939\u0948 :",
"options": [
"21/64",
"9/64",
"15/64",
"39/64"
],
"answer": "3",
"original_question_num": "26"
},
{
"language": "hi",
"country": "India",
"file_name": "Mathematics-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Maths-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 12,
"question": "\u090f\u0915 \u0905\u0928\u092d\u093f\u091c\u094d\u091e\u0924 (unbiased) \u0938\u093f\u0915\u094d\u0915\u0947 \u0915\u094b \u0906\u0920 \u092c\u093e\u0930 \u0909\u091b\u093e\u0932\u093e \u091c\u093e\u0924\u093e \u0939\u0948, \u0924\u094b \u0915\u092e \u0938\u0947 \u0915\u092e \u090f\u0915 \u091a\u093f\u0924 \u0924\u0925\u093e \u0915\u092e \u0938\u0947 \u0915\u092e \u090f\u0915 \u092a\u091f \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u0930\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0939\u0948 :",
"options": [
"255/256",
"127/128",
"63/64",
"1/2"
],
"answer": "3",
"original_question_num": "27"
},
{
"language": "hi",
"country": "India",
"file_name": "Mathematics-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Maths-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "mathematics",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 14,
"question": "\u0915\u0925\u0928 (~p) \u2228 (p \u2227 ~q) \u0938\u092e\u0924\u0941\u0932\u094d\u092f \u0939\u0948 :",
"options": [
"p \u2228 ~q",
"p \u27f6 ~q",
"p \u2227 ~q",
"q \u27f6 p"
],
"answer": "3",
"original_question_num": "30"
},
{
"language": "hi",
"country": "India",
"file_name": "Mathematics-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Maths-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 7,
"question": "\u0915\u0930\u094d\u0935 x\u00b2 + y\u00b2 = 4 \u0924\u0925\u093e y\u00b2 = 3x \u0915\u0947 \u092c\u0940\u091a \u0918\u093f\u0930\u0947 \u091b\u094b\u091f\u0947 \u092d\u093e\u0917 \u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 (\u0935\u0930\u094d\u0917 \u0907\u0915\u093e\u0907\u092f\u094b\u0902 \u092e\u0947\u0902) \u0939\u0948 :",
"options": [
"\\(\\frac{1}{2\\sqrt{3}} + \\frac{\\pi}{3}\\)",
"\\(\\frac{1}{\\sqrt{3}} + \\frac{2\\pi}{3}\\)",
"\\(\\frac{1}{2\\sqrt{3}} + \\frac{2\\pi}{3}\\)",
"\\(\\frac{1}{\\sqrt{3}} + \\frac{4\\pi}{3}\\)"
],
"answer": "3",
"original_question_num": "16"
},
{
"language": "hi",
"country": "India",
"file_name": "Mathematics-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Maths-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 6,
"question": "\u222b\u221a1 + 2cot x(cosec x + cot x) dx (0 < x < \u03c0/2) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 : (\u091c\u0939\u093e\u0901 C \u090f\u0915 \u0938\u092e\u093e\u0915\u0932\u0928 \u0905\u091a\u0930 \u0939\u0948)",
"options": [
"4 log(sin x/2) + C",
"2 log(sin x/2) + C",
"2 log(cos x/2) + C",
"4 log(cos x/2) + C"
],
"answer": "1",
"original_question_num": "14"
},
{
"language": "hi",
"country": "India",
"file_name": "Mathematics-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Maths-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 6,
"question": "\u222b\u03c0/12\u03c0 8 cos 2x / (tan x + cot x)\u00b3 dx \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"15/128",
"15/64",
"13/32",
"13/256"
],
"answer": "2",
"original_question_num": "15"
},
{
"language": "hi",
"country": "India",
"file_name": "Mathematics-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Maths-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 9,
"question": "\u092f\u0926\u093f \u092a\u0930\u0935\u0932\u092f x\u00b2 = 4y \u0924\u0925\u093e \u0935\u0943\u0924\u094d\u0924 x\u00b2 + y\u00b2 = 4 \u0915\u0940 \u0909\u092a\u0930\u094d\u092f\u0941\u0915\u094d\u0924 \u0938\u094d\u092a\u0930\u094d\u0936\u0930\u0947\u0916\u093e\u090f\u0901 \u090f\u0915 \u092c\u093f\u0902\u0926\u0941 P \u092a\u0930 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u0915\u0930\u0924\u0940 \u0939\u0948\u0902, \u0924\u094b P \u0915\u0940 \u092e\u0942\u0932 \u092c\u093f\u0902\u0926\u0941 \u0938\u0947 \u0926\u0942\u0930\u0940 \u0939\u0948 :",
"options": [
"\u221a2 + 1",
"2(3 + 2\u221a2)",
"2(\u221a2 + 1)",
"3 + 2\u221a2"
],
"answer": "2",
"original_question_num": "20"
},
{
"language": "hi",
"country": "India",
"file_name": "Mathematics-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Maths-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 9,
"question": "\u090f\u0915 \u0926\u0940\u0930\u094d\u0918\u0935\u0943\u0924\u094d\u0924, \u091c\u093f\u0938\u0915\u093e \u0915\u0947\u0902\u0926\u094d\u0930 \u092e\u0942\u0932 \u092c\u093f\u0902\u0926\u0941 \u092a\u0930 \u0939\u0948 \u0924\u0925\u093e \u0926\u0940\u0930\u094d\u0918 \u0905\u0915\u094d\u0937 x-\u0905\u0915\u094d\u0937 \u0915\u0940 \u0926\u093f\u0936\u093e \u092e\u0947\u0902 \u0939\u0948, \u092a\u0930 \u0935\u093f\u091a\u093e\u0930 \u0915\u0940\u091c\u093f\u090f\u0964 \u092f\u0926\u093f \u0907\u0938\u0915\u0940 \u0909\u0924\u094d\u0915\u0947\u0928\u094d\u0926\u094d\u0930\u0924\u093e 3/5 \u0924\u0925\u093e \u0928\u093e\u092d\u093f\u092f\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0915\u0940 \u0926\u0942\u0930\u0940 6 \u0939\u0948, \u0924\u094b \u0909\u0938 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c, \u091c\u094b \u0926\u0940\u0930\u094d\u0918\u0935\u0943\u0924\u094d\u0924 \u0915\u0947 \u0905\u0902\u0924\u0930\u094d\u0917\u0924 \u092c\u0928\u093e\u0908 \u0917\u0908 \u0939\u0948 \u0924\u0925\u093e \u091c\u093f\u0938\u0915\u0947 \u0936\u0940\u0930\u094d\u0937, \u0926\u0940\u0930\u094d\u0918\u0935\u0943\u0924\u094d\u0924 \u0915\u0947 \u0936\u0940\u0930\u094d\u0937\u094b\u0902 \u092a\u0930 \u0939\u0948\u0902, \u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 (\u0935\u0930\u094d\u0917 \u0907\u0915\u093e\u0907\u092f\u094b\u0902 \u092e\u0947\u0902) \u0939\u0948 :",
"options": [
"8",
"32",
"80",
"40"
],
"answer": "2",
"original_question_num": "21"
},
{
"language": "hi",
"country": "India",
"file_name": "Mathematics-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Maths-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 5,
"question": "\u092f\u0926\u093f y = [x + \u221a(x\u00b2 - 1)]\u00b9\u2075 + [x - \u221a(x\u00b2 - 1)]\u00b9\u2075 \u0939\u0948, \u0924\u094b (x\u00b2 - 1) d\u00b2y/dx\u00b2 + x dy/dx \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"125 y",
"224 y\u00b2",
"225 y\u00b2",
"225 y"
],
"answer": "1",
"original_question_num": "12"
},
{
"language": "hi",
"country": "India",
"file_name": "Mathematics-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Maths-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 5,
"question": "\u092f\u0926\u093f \u0915\u093f\u0938\u0940 \u092c\u093f\u0902\u0926\u0941 P \u0915\u0947 \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 (0, -2) \u0939\u0948\u0902 \u0924\u0925\u093e \u0915\u094b\u0908 \u092c\u093f\u0902\u0926\u0941 Q \u0935\u0943\u0924\u094d\u0924 x\u00b2 + y\u00b2 - 5x - y + 5 = 0 \u092a\u0930 \u0938\u094d\u0925\u093f\u0924 \u0939\u0948, \u0924\u094b (PQ)\u00b2 \u0915\u093e \u0905\u0927\u093f\u0915\u0924\u092e \u092e\u093e\u0928 \u0939\u0948 :",
"options": [
"(25 + \u221a6)/2",
"14 + 5\u221a3",
"(47 + 10\u221a6)/2",
"8 + 5\u221a3"
],
"answer": "4",
"original_question_num": "13"
},
{
"language": "hi",
"country": "India",
"file_name": "Mathematics-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Maths-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 4,
"question": "\u092f\u0926\u093f \u0936\u094d\u0930\u0947\u0923\u0940 \u221a3 + \u221a75 + \u221a243 + \u221a507 + ..... \u0915\u0947 \u092a\u094d\u0930\u0925\u092e n \u092a\u0926\u094b\u0902 \u0915\u093e \u092f\u094b\u0917 435\u221a3 \u0939\u0948, \u0924\u094b n \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"18",
"15",
"13",
"29"
],
"answer": "1",
"original_question_num": "9"
},
{
"language": "hi",
"country": "India",
"file_name": "Mathematics-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Maths-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 4,
"question": "lim x\u21923 \u221a3x\u22123 / \u221a2x\u22124\u2212\u221a2 \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"\u221a3",
"1/\u221a2",
"\u221a3/2",
"1/2\u221a2"
],
"answer": "2",
"original_question_num": "10"
},
{
"language": "hi",
"country": "India",
"file_name": "Mathematics-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Maths-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 4,
"question": "\u0935\u0915\u094d\u0930 x\u00b2y\u00b2\u22122x=4(1\u2212y) \u0915\u0947 \u092c\u093f\u0902\u0926\u0941 (2,\u22122) \u092a\u0930 \u0916\u0940\u0902\u091a\u0940 \u0917\u0908 \u0938\u094d\u092a\u0930\u094d\u0936\u0930\u0947\u0916\u093e \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u093f\u0938 \u092c\u093f\u0902\u0926\u0941 \u0938\u0947 \u0928\u0939\u0940\u0902 \u0917\u0941\u091c\u0930\u0924\u0940 \u0939\u0948 :",
"options": [
"(4, 1/3)",
"(8, 5)",
"(\u22124, \u22129)",
"(\u22122, \u22127)"
],
"answer": "1",
"original_question_num": "11"
},
{
"language": "hi",
"country": "India",
"file_name": "Mathematics-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Maths-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 8,
"question": "\u0930\u0947\u0916\u093e\u0913\u0902 tx - 2y - 3t = 0 x - 2ty + 3 = 0 (t\u2208R) \u0915\u0947 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926\u0928 \u092c\u093f\u0902\u0926\u0941 \u0915\u093e \u092c\u093f\u0902\u0926\u0941 \u092a\u0925 \u0939\u0948 :",
"options": [
"\u090f\u0915 \u0926\u0940\u0930\u094d\u0918\u0935\u0943\u0924\u094d\u0924 \u091c\u093f\u0938\u0915\u0940 \u0909\u0924\u094d\u0915\u0947\u0928\u094d\u0926\u094d\u0930\u0924\u093e \\( \\frac{2}{\\sqrt{5}} \\) \u0939\u0948",
"\u090f\u0915 \u0926\u0940\u0930\u094d\u0918\u0935\u0943\u0924\u094d\u0924 \u091c\u093f\u0938\u0915\u0947 \u0926\u0940\u0930\u094d\u0918 \u0905\u0915\u094d\u0937 \u0915\u0940 \u0932\u0902\u092c\u093e\u0908 6 \u0939\u0948",
"\u090f\u0915 \u0905\u0924\u093f\u092a\u0930\u0935\u0932\u092f \u091c\u093f\u0938\u0915\u0940 \u0909\u0924\u094d\u0915\u0947\u0928\u094d\u0926\u094d\u0930\u0924\u093e \\( \\sqrt{5} \\) \u0939\u0948",
"\u090f\u0915 \u0905\u0924\u093f\u092a\u0930\u0935\u0932\u092f \u091c\u093f\u0938\u0915\u0947 \u0938\u0902\u092f\u0941\u0917\u094d\u092e \u0905\u0915\u094d\u0937 (conjugate axis) \u0915\u0940 \u0932\u0902\u092c\u093e\u0908 3 \u0939\u0948"
],
"answer": "2",
"original_question_num": "18"
},
{
"language": "hi",
"country": "India",
"file_name": "Mathematics-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Maths-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 8,
"question": "\u092f\u0926\u093f \u090f\u0915 \u0935\u0943\u0924\u094d\u0924 \u091c\u093f\u0938\u0915\u093e \u0935\u094d\u092f\u093e\u0938 4 \u0907\u0915\u093e\u0908 \u0939\u0948 \u0915\u0940 \u0926\u094b \u0938\u092e\u093e\u0928\u093e\u0902\u0924\u0930 \u091c\u0940\u0935\u093e\u090f\u0901, \u091c\u094b \u0935\u0943\u0924\u094d\u0924 \u0915\u0947 \u0915\u0947\u0902\u0926\u094d\u0930 \u0915\u0940 \u0935\u093f\u092a\u0930\u0940\u0924 \u0926\u093f\u0936\u093e\u0913\u0902 \u092e\u0947\u0902 \u0939\u0948\u0902 \u0924\u0925\u093e \u0915\u0947\u0902\u0926\u094d\u0930 \u092a\u0930 \u0915\u094d\u0930\u092e\u0936\u0903 cos\\(^{-1}\\left(\\frac{1}{7}\\right)\\) \u0924\u0925\u093e sec\\(^{-1}(7)\\) \u0915\u0947 \u0915\u094b\u0923 \u0905\u0902\u0924\u0930\u093f\u0924 \u0915\u0930\u0924\u0940 \u0939\u0948\u0902, \u0924\u094b \u0907\u0928 \u091c\u0940\u0935\u093e\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0915\u0940 \u0926\u0942\u0930\u0940 \u0939\u0948 :",
"options": [
"\\( \\frac{4}{\\sqrt{7}} \\)",
"\\( \\frac{8}{\\sqrt{7}} \\)",
"\\( \\frac{8}{7} \\)",
"\\( \\frac{16}{7} \\)"
],
"answer": "1",
"original_question_num": "19"
},
{
"language": "hi",
"country": "India",
"file_name": "Mathematics-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Maths-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 3,
"question": "\u0936\u092c\u094d\u0926 QUEEN \u0915\u0947 \u0938\u092d\u0940 \u0905\u0915\u094d\u0937\u0930\u094b\u0902 \u0915\u093e \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u0930\u0915\u0947 \u092c\u0928\u0928\u0947 \u0935\u093e\u0932\u0947 \u0938\u092d\u0940 \u0936\u092c\u094d\u0926 (\u091c\u093f\u0928\u0915\u093e \u0905\u0930\u094d\u0925 \u0939\u0948 \u0905\u0925\u0935\u093e \u0935\u0947 \u0905\u0930\u094d\u0925\u0939\u0940\u0928 \u0939\u0948\u0902) \u0915\u094b \u0905\u0902\u0917\u094d\u0930\u0947\u091c\u0940 \u0936\u092c\u094d\u0926\u0915\u094b\u0936 \u0915\u0947 \u0905\u0928\u0941\u0938\u093e\u0930 \u0932\u0917\u093e\u0928\u0947 \u092a\u0930, \u0936\u092c\u094d\u0926 QUEEN \u0915\u093e \u0938\u094d\u0925\u093e\u0928 \u0939\u0948 :",
"options": [
"44 \u0935\u093e\u0902",
"45 \u0935\u093e\u0902",
"46 \u0935\u093e\u0902",
"47 \u0935\u093e\u0902"
],
"answer": "4",
"original_question_num": "6"
},
{
"language": "hi",
"country": "India",
"file_name": "Mathematics-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Maths-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 3,
"question": "\u092f\u0926\u093f (27)^999 \u0915\u094b 7 \u0938\u0947 \u092d\u093e\u0917 \u0926\u093f\u092f\u093e \u091c\u093e\u090f, \u0924\u094b \u0936\u0947\u0937\u092b\u0932 \u0939\u0948 :",
"options": [
"1",
"2",
"3",
"6"
],
"answer": "1",
"original_question_num": "7"
},
{
"language": "hi",
"country": "India",
"file_name": "Mathematics-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Maths-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 3,
"question": "\u092f\u0926\u093f \u0926\u094b \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 a \u0924\u0925\u093e b, a > b > 0 \u0915\u093e \u0938\u092e\u093e\u0928\u093e\u0902\u0924\u0930 \u092e\u093e\u0927\u094d\u092f (A.M.) \u0909\u0928\u0915\u0947 \u0917\u0941\u0923\u094b\u0924\u094d\u0924\u0930 \u092e\u093e\u0927\u094d\u092f (G.M.) \u0915\u093e 5 \u0917\u0941\u0928\u093e \u0939\u0948, \u0924\u094b a + b / a - b \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"\u221a6 / 2",
"3\u221a2 / 4",
"7\u221a3 / 12",
"5\u221a6 / 12"
],
"answer": "3",
"original_question_num": "8"
},
{
"language": "hi",
"country": "India",
"file_name": "Mathematics-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Maths-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 10,
"question": "\u0938\u092e\u0924\u0932, \u091c\u093f\u0938\u092e\u0947\u0902 \u0926\u094b\u0928\u094b\u0902 \u0930\u0947\u0916\u093e\u090f\u0902\n\\[ \\frac{x + 1}{6} = \\frac{y - 1}{7} = \\frac{z - 3}{8} \\]\n\u0924\u0925\u093e\n\\[ \\frac{x - 1}{3} = \\frac{y - 2}{5} = \\frac{z - 3}{7} \\]\n\u0926\u093f\u0916\u093e\u0908 \u0939\u0948\u0902, \u092a\u0930 \u092c\u093f\u0902\u0926\u0941 (1, -2, 1) \u0938\u0947 \u0921\u093e\u0932\u0947 \u0917\u090f \u0932\u092e\u094d\u092c \u0915\u0947 \u092a\u093e\u0926 \u0915\u0947 \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 \u0939\u0948\u0902 :",
"options": [
"(2, -4, 2)",
"(-1, 2, -1)",
"(0, 0, 0)",
"(1, 1, 1)"
],
"answer": "2",
"original_question_num": "22"
},
{
"language": "hi",
"country": "India",
"file_name": "Mathematics-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Maths-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 10,
"question": "\u0938\u092e\u0924\u0932 \\[ \\vec{r} \\cdot (3\\hat{i} - \\hat{j} + \\hat{k}) = 1 \\] \u0924\u0925\u093e \\[ \\vec{r} \\cdot (\\hat{i} + 4\\hat{j} - 2\\hat{k}) = 2 \\] \u0915\u0940 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926\u0940 \u0930\u0947\u0916\u093e \u0939\u0948 :",
"options": [
"\\[ \\frac{x - \\frac{4}{7}}{-2} = \\frac{y}{7} = \\frac{z - \\frac{5}{7}}{13} \\]",
"\\[ \\frac{x - \\frac{4}{2}}{-7} = \\frac{y}{7} = \\frac{z + \\frac{5}{7}}{13} \\]",
"\\[ \\frac{x - \\frac{6}{13}}{2} = \\frac{y - \\frac{5}{13}}{-7} = \\frac{z}{-13} \\]",
"\\[ \\frac{x - \\frac{6}{13}}{2} = \\frac{y - \\frac{5}{13}}{7} = \\frac{z}{-13} \\]"
],
"answer": "1",
"original_question_num": "23"
},
{
"language": "hi",
"country": "India",
"file_name": "Mathematics-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Maths-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 11,
"question": "\u0938\u092e\u093e\u0902\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c, \u091c\u093f\u0938\u0915\u0947 \u0935\u093f\u0915\u0930\u094d\u0923, \u0938\u0926\u093f\u0936\u094b\u0902 8i - 6j \u0924\u0925\u093e 3i + 4j - 12k \u0915\u0940 \u0926\u093f\u0936\u093e\u0913\u0902 \u092e\u0947\u0902 \u0939\u0948\u0902, \u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 (\u0935\u0930\u094d\u0917 \u0907\u0915\u093e\u0907\u092f\u094b\u0902 \u092e\u0947\u0902) \u0939\u0948 :",
"options": [
"26",
"65",
"20",
"52"
],
"answer": "4",
"original_question_num": "24"
},
{
"language": "hi",
"country": "India",
"file_name": "Mathematics-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Maths-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 11,
"question": "\u090f\u0915 \u0935\u093f\u0926\u094d\u092f\u093e\u0932\u092f \u0915\u0947 25 \u0905\u0927\u094d\u092f\u093e\u092a\u0915\u094b\u0902 \u0915\u0940 \u092e\u093e\u0927\u094d\u092f-\u0906\u092f\u0941 40 \u0935\u0930\u094d\u0937 \u0939\u0948\u0964 \u090f\u0915 \u0905\u0927\u094d\u092f\u093e\u092a\u0915 60 \u0935\u0930\u094d\u0937 \u0915\u0940 \u0906\u092f\u0941 \u092e\u0947\u0902 \u0938\u0947\u0935\u093e \u0928\u093f\u0935\u0943\u0924\u094d\u0924 \u0939\u094b\u0924\u093e \u0939\u0948 \u0914\u0930 \u0909\u0938\u0915\u0947 \u0938\u094d\u0925\u093e\u0928 \u092a\u0930 \u090f\u0915 \u0928\u092f\u0947 \u0905\u0927\u094d\u092f\u093e\u092a\u0915 \u0915\u0940 \u0928\u093f\u092f\u0941\u0915\u094d\u0924\u093f \u0939\u094b\u0924\u0940 \u0939\u0948\u0964 \u092f\u0926\u093f \u0905\u092c \u0907\u0938 \u0935\u093f\u0926\u094d\u092f\u093e\u0932\u092f \u0915\u0947 \u0905\u0927\u094d\u092f\u093e\u092a\u0915\u094b\u0902 \u0915\u0940 \u092e\u093e\u0927\u094d\u092f-\u0906\u092f\u0941 39 \u0935\u0930\u094d\u0937 \u0939\u0948 \u0924\u094b \u0928\u092f\u0947 \u0905\u0927\u094d\u092f\u093e\u092a\u0915 \u0915\u0940 \u0906\u092f\u0941 (\u0935\u0930\u094d\u0937\u094b\u0902 \u092e\u0947\u0902) \u0939\u0948 :",
"options": [
"25",
"30",
"35",
"40"
],
"answer": "2",
"original_question_num": "25"
},
{
"language": "hi",
"country": "India",
"file_name": "Mathematics-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Maths-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 2,
"question": "\u092e\u093e\u0928 \u0932\u0940\u091c\u093f\u090f z \u2208 C, \u091c\u094b \u0938\u092e\u094d\u092e\u093f\u0936\u094d\u0930 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u093e \u0938\u092e\u0942\u0939 \u0939\u0948, \u0924\u094b \u0938\u092e\u0940\u0915\u0930\u0923 2|z + 3i| - |z - i| = 0 \u092a\u094d\u0930\u0926\u0930\u094d\u0936\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948 :",
"options": [
"\u090f\u0915 \u0935\u0943\u0924\u094d\u0924 \u091c\u093f\u0938\u0915\u093e \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e \\(\\frac{8}{3}\\) \u0939\u0948\u0964",
"\u090f\u0915 \u0935\u0943\u0924\u094d\u0924 \u091c\u093f\u0938\u0915\u093e \u0935\u094d\u092f\u093e\u0938 \\(\\frac{10}{3}\\) \u0939\u0948\u0964",
"\u090f\u0915 \u0926\u0940\u0930\u094d\u0918\u0935\u0943\u0924\u094d\u0924 \u091c\u093f\u0938\u0915\u0947 \u0926\u0940\u0930\u094d\u0918 \u0905\u0915\u094d\u0937 \u0915\u0940 \u0932\u0902\u092c\u093e\u0908 \\(\\frac{16}{3}\\) \u0939\u0948\u0964",
"\u090f\u0915 \u0926\u0940\u0930\u094d\u0918\u0935\u0943\u0924\u094d\u0924 \u091c\u093f\u0938\u0915\u0947 \u0932\u0918\u0941 \u0905\u0915\u094d\u0937 \u0915\u0940 \u0932\u0902\u092c\u093e\u0908 \\(\\frac{16}{9}\\) \u0939\u0948\u0964"
],
"answer": "1",
"original_question_num": "3"
},
{
"language": "hi",
"country": "India",
"file_name": "Mathematics-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Maths-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 2,
"question": "\u03bb \u0915\u0947 \u0909\u0928 \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u092e\u093e\u0928\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u091c\u093f\u0928\u0915\u0947 \u0932\u093f\u090f \u0930\u0948\u0916\u093f\u0915 \u0938\u092e\u0940\u0915\u0930\u0923\u094b\u0902 \u0915\u093e \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0938\u092e\u0942\u0939 \u0915\u0947 \u0905\u0928\u0902\u0924 \u0939\u0932 \u0939\u0948\u0902, \u0939\u0948 :",
"options": [
"0",
"1",
"2",
"3"
],
"answer": "3",
"original_question_num": "4"
},
{
"language": "hi",
"country": "India",
"file_name": "Mathematics-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Maths-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 2,
"question": "\u092e\u093e\u0928 \u0932\u0940\u091c\u093f\u090f A \u0915\u094b\u0908 3 \u00d7 3 \u0915\u093e \u0935\u094d\u092f\u0941\u0924\u094d\u0915\u094d\u0930\u092e\u0923\u0940\u092f \u0906\u0935\u094d\u092f\u0942\u0939 \u0939\u0948 \u0924\u094b \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928-\u0938\u093e \u0938\u0924\u094d\u092f \u0928\u0939\u0940\u0902 \u0939\u0948 ?",
"options": [
"adj (A) = |A|\u00b7A\u207b\u00b9",
"adj (adj(A)) = |A|\u00b7A",
"adj (adj(A)) = |A|\u00b2\u00b7(adj(A))\u207b\u00b9",
"adj (A) = |A|\u00b7(adj(A))\u207b\u00b9"
],
"answer": "3",
"original_question_num": "5"
},
{
"language": "hi",
"country": "India",
"file_name": "Physics-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 9,
"question": "\u090f\u0915 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u092e\u0947\u0902 \u090f\u0915\u0938\u092e\u093e\u0928 \u0938\u094d\u0925\u093f\u0930 \u0935\u0948\u0926\u094d\u092f\u0941\u0924 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0909\u092a\u0938\u094d\u0925\u093f\u0924 \u0939\u0948\u0964 \u092f\u0939\u093e\u0901 \u090f\u0915 \u092c\u093f\u0928\u094d\u0926\u0941 P \u092a\u0930 \u0915\u0947\u0928\u094d\u0926\u094d\u0930\u093f\u0924 \u090f\u0915 \u0917\u094b\u0932\u0947 \u0915\u0947 \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u092c\u093f\u0928\u094d\u0926\u0941\u0913\u0902 \u092a\u0930 \u0935\u093f\u092d\u0935 \u0915\u093e \u092e\u093e\u0928 589.0 V \u0938\u0947 589.8 V \u0938\u0940\u092e\u093e\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u092a\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0907\u0938 \u0917\u094b\u0932\u0947 \u0915\u0947 \u092a\u0943\u0937\u094d\u0920 \u092a\u0930 \u0935\u0939 \u092c\u093f\u0928\u094d\u0926\u0941, \u091c\u093f\u0938\u0915\u093e \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e \u0935\u0947\u0915\u094d\u091f\u0930 \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0938\u0947 60\u00b0 \u0915\u093e \u0915\u094b\u0923 \u092c\u0928\u093e\u0924\u093e \u0939\u0948, \u092a\u0930 \u0935\u093f\u092d\u0935 \u0915\u093e \u092e\u093e\u0928 \u0915\u094d\u092f\u093e \u0939\u094b\u0917\u093e?",
"options": [
"589.5 V",
"589.2 V",
"589.4 V",
"589.6 V"
],
"answer": "1",
"original_question_num": "14"
},
{
"language": "hi",
"country": "India",
"file_name": "Physics-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 14,
"question": "\u03bb \u0924\u0930\u0902\u0917\u0926\u0948\u0930\u094d\u0927\u094d\u092f \u0915\u0947 \u0938\u0941\u0938\u0902\u0917\u0924 \u090f\u0915\u0930\u0902\u0917\u0940 \u092a\u094d\u0930\u0915\u093e\u0936 \u0938\u0947 \u090f\u0915 \u0939\u0940 \u091a\u094c\u0921\u093c\u093e\u0908 \u0915\u0940 \u091d\u093f\u0930\u0940 \u0915\u094b \u092a\u094d\u0930\u092c\u094b\u0927\u093f\u0924 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964 \u092f\u0926\u093f 1 m \u0926\u0942\u0930\u0940 \u092a\u0930 \u0938\u094d\u0925\u093f\u0924 \u092a\u0930\u094d\u0926\u0947 \u092a\u0930 \u0926\u094d\u0935\u093f\u0924\u0940\u092f \u090f\u0935\u0902 \u091a\u0924\u0941\u0930\u094d\u0925 \u0928\u093f\u092e\u094d\u0928\u093f\u0924\u092e \u0915\u093e \u0915\u0947\u0928\u094d\u0926\u094d\u0930\u093f\u092f \u0909\u091a\u094d\u091a\u0924\u092e \u0938\u0947 \u0926\u0942\u0930\u0940 \u0915\u094d\u0930\u092e\u0936\u0903 3 cm \u0914\u0930 6 cm \u0939\u0948 \u0924\u094b \u0915\u0947\u0928\u094d\u0926\u094d\u0930\u093f\u092f \u0909\u091a\u094d\u091a\u0924\u092e \u0915\u0940 \u091a\u094c\u0921\u093c\u093e\u0908 \u0915\u094d\u092f\u093e \u0939\u094b\u0917\u0940? (\u0915\u0947\u0928\u094d\u0926\u094d\u0930\u093f\u092f \u0909\u091a\u094d\u091a\u0924\u092e \u0915\u0940 \u091a\u094c\u0921\u093c\u093e\u0908 \u0909\u0938\u0915\u0947 \u0926\u094b\u0928\u094b\u0902 \u0924\u0930\u092b \u0915\u0947 \u092a\u094d\u0930\u0925\u092e \u0928\u093f\u092e\u094d\u0928\u093f\u0924\u092e \u0915\u0947 \u092c\u0940\u091a \u0915\u0940 \u0926\u0942\u0930\u0940 \u0939\u0948)",
"options": [
"1.5 cm",
"3.0 cm",
"4.5 cm",
"6.0 cm"
],
"answer": "1",
"original_question_num": "23"
},
{
"language": "hi",
"country": "India",
"file_name": "Physics-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 14,
"question": "\u091c\u092c \u0906\u0935\u0943\u0924\u094d\u0924\u093f n \u0915\u093e \u092a\u094d\u0930\u0915\u093e\u0936 \u090f\u0915 \u0927\u093e\u0924\u0941 \u0915\u0947 \u092a\u0943\u0937\u094d\u0920 \u092a\u0930 \u092a\u0921\u093c\u0924\u093e \u0939\u0948 \u0924\u094b \u0909\u0938\u0938\u0947 \u0909\u0924\u094d\u092a\u0928\u094d\u0928 \u092b\u094b\u091f\u094b-\u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928\u094b\u0902 \u0915\u093e \u0905\u0927\u093f\u0915\u0924\u092e \u0935\u0947\u0917 v \u0939\u0948\u0964 \u092f\u0926\u093f \u0906\u092a\u0924\u093f\u0924 \u092a\u094d\u0930\u0915\u093e\u0936 \u0915\u0940 \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u092c\u0922\u093c\u093e\u0915\u0930 3n \u0915\u0930 \u0926\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948 \u0924\u094b \u0909\u0924\u094d\u092a\u0928\u094d\u0928 \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928\u094b\u0902 \u0915\u093e \u0905\u0927\u093f\u0915\u0924\u092e \u0935\u0947\u0917 \u0939\u094b\u0917\u093e:",
"options": [
"\u221a3 v \u0938\u0947 \u0915\u092e",
"v",
"\u221a3 v \u0938\u0947 \u0905\u0927\u093f\u0915",
"\u221a3 v \u0915\u0947 \u092c\u0930\u093e\u092c\u0930"
],
"answer": "4",
"original_question_num": "24"
},
{
"language": "hi",
"country": "India",
"file_name": "Physics-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 15,
"question": "\u092c\u094b\u0930 (Bohr) \u0915\u0947 \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 \u0915\u0947 \u0905\u0928\u0941\u0938\u093e\u0930 \u0939\u093e\u0907\u0921\u094d\u0930\u094b\u091c\u0928 \u092a\u0930\u092e\u093e\u0923\u0941 \u0915\u0947 \u0915\u0947\u0928\u094d\u0926\u094d\u0930 (\u0928\u093e\u092d\u093f\u0915) \u092a\u0930 n\u0935\u0947\u0902 \u0915\u0915\u094d\u0937 \u092e\u0947\u0902 \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928 \u0915\u0940 \u0917\u0924\u093f \u0915\u0947 \u0915\u093e\u0930\u0923 \u0909\u0924\u094d\u092a\u0928\u094d\u0928 \u0938\u092e\u092f-\u0914\u0938\u0924 \u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0915\u093e \u092e\u093e\u0928 \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u093f\u0938\u0915\u0947 \u0938\u092e\u093e\u0928\u0941\u092a\u093e\u0924\u0940 \u0939\u094b\u0917\u093e : (\u092f\u0939\u093e\u0901 n \u092e\u0941\u0916\u094d\u092f \u0915\u094d\u0935\u093e\u0923\u094d\u091f\u092e \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948\u0964)",
"options": [
"n\u207b\u2074",
"n\u207b\u2075",
"n\u207b\u00b3",
"n\u207b\u00b2"
],
"answer": "4",
"original_question_num": "25"
},
{
"language": "hi",
"country": "India",
"file_name": "Physics-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 15,
"question": "\u0926\u094b \u0921\u094d\u092f\u0942\u091f\u0940\u0930\u0949\u0928\u094b\u0902 \u0915\u0947 \u0928\u093e\u092d\u093f\u0915\u0940\u092f \u0938\u0902\u0932\u092f\u0928 \u0938\u0947 \u090f\u0915 \u0939\u0940\u0932\u093f\u092f\u092e \u0928\u093e\u092d\u093f\u0915 \u092c\u0928\u0924\u093e \u0939\u0948\u0964 \u0907\u0938 \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e \u092e\u0947\u0902 \u0909\u0924\u094d\u0938\u0930\u094d\u091c\u093f\u0924 \u090a\u0930\u094d\u091c\u093e \u0915\u093e \u092e\u093e\u0928 \u0939\u094b\u0917\u093e : (\u0926\u093f\u092f\u093e \u0939\u0948 : \u0921\u094d\u092f\u0942\u091f\u0940\u0930\u0949\u0928 \u0915\u0940 \u092a\u094d\u0930\u0924\u093f-\u0928\u094d\u092f\u0942\u0915\u094d\u0932\u093f\u0911\u0928 \u092c\u0928\u094d\u0927\u0928 \u090a\u0930\u094d\u091c\u093e = 1.1 MeV \u0924\u0925\u093e \u0939\u0940\u0932\u093f\u092f\u092e \u0915\u0940 \u092a\u094d\u0930\u0924\u093f \u0928\u094d\u092f\u0942\u0915\u094d\u0932\u093f\u0911\u0928 \u092c\u0928\u094d\u0927\u0928 \u090a\u0930\u094d\u091c\u093e = 7.0 MeV)",
"options": [
"30.2 MeV",
"32.4 MeV",
"23.6 MeV",
"25.8 MeV"
],
"answer": "3",
"original_question_num": "26"
},
{
"language": "hi",
"country": "India",
"file_name": "Physics-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 8,
"question": "\u090f\u0915 \u0906\u0926\u0930\u094d\u0936 \u0917\u0948\u0938 \u0915\u0947 \u0905\u0923\u0941\u0913\u0902 \u0915\u0940 \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\u0924\u093e \u0915\u094b\u091f\u093f (degrees of freedom) 5 \u0939\u0948\u0964 \u0907\u0938 \u0917\u0948\u0938 \u0915\u0940 \u0938\u094d\u0925\u093f\u0930 \u0926\u092c\u093e\u0935 \u092a\u0930 \u0935\u093f\u0936\u093f\u0937\u094d\u091f \u090a\u0937\u094d\u092e\u093e (Cp) \u0914\u0930 \u0938\u094d\u0925\u093f\u0930 \u0906\u092f\u0924\u0928 \u092a\u0930 \u0935\u093f\u0936\u093f\u0937\u094d\u091f \u090a\u0937\u094d\u092e\u093e (Cv) \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 \u0939\u094b\u0917\u093e :",
"options": [
"6",
"7/2",
"5/2",
"7/5"
],
"answer": "2",
"original_question_num": "11"
},
{
"language": "hi",
"country": "India",
"file_name": "Physics-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 8,
"question": "\u090f\u0915 \u0938\u0930\u0932 \u0906\u0935\u0930\u094d\u0924 \u0917\u0924\u093f \u092e\u0947\u0902 \u0905\u0927\u093f\u0915\u0924\u092e \u0924\u094d\u0935\u0930\u0923 \u090f\u0935\u0902 \u0905\u0927\u093f\u0915\u0924\u092e \u0935\u0947\u0917 \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 10 s^(-1) \u0939\u0948\u0964 \u092f\u0926\u093f t=0 \u092a\u0930 \u0935\u093f\u0938\u094d\u0925\u093e\u092a\u0928 5 m \u0939\u0948 \u0924\u094b \u0905\u0927\u093f\u0915\u0924\u092e \u0924\u094d\u0935\u0930\u0923 \u0915\u093e \u092e\u093e\u0928 \u0915\u094d\u092f\u093e \u0939\u094b\u0917\u093e? \u0906\u0930\u0902\u092d\u093f\u0915 \u0915\u0932\u093e \u0915\u093e \u092e\u093e\u0928 \u03c0/4 \u0939\u0948\u0964",
"options": [
"500 m/s^2",
"500\u221a2 m/s^2",
"750 m/s^2",
"750\u221a2 m/s^2"
],
"answer": "4",
"original_question_num": "12"
},
{
"language": "hi",
"country": "India",
"file_name": "Physics-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 3,
"question": "\u090f\u0915 \u0938\u094d\u092a\u094d\u0930\u093f\u0902\u0917 \u0938\u0947 \u091c\u0941\u0921\u093c\u093e \u0939\u0941\u0906 1 kg \u0915\u093e \u090f\u0915 \u0917\u0941\u091f\u0915\u093e 1 Hz \u0915\u0940 \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u0938\u0947 \u090f\u0915 \u0918\u0930\u094d\u0937\u0923\u0939\u0940\u0928 \u0915\u094d\u0937\u0948\u0924\u093f\u091c \u092e\u0947\u091c \u092a\u0930 \u0926\u094b\u0932\u0928 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u0907\u0938\u0940 \u0924\u0930\u0939 \u0915\u0940 \u0926\u094b \u0938\u092e\u093e\u0928\u093e\u0902\u0924\u0930 \u0938\u094d\u092a\u094d\u0930\u093f\u0902\u0917\u094b\u0902 \u0938\u0947 \u090f\u0915 8 kg \u0915\u093e \u0917\u0941\u091f\u0915\u093e \u091c\u094b\u0921\u093c\u0915\u0930 \u0909\u0938\u0940 \u092e\u0947\u091c \u092a\u0930 \u0926\u094b\u0932\u0928 \u0915\u0930\u093e\u0924\u0947 \u0939\u0948\u0902\u0964 8 kg \u0915\u0947 \u0917\u0941\u091f\u0915\u0947 \u0915\u0940 \u0926\u094b\u0932\u0928 \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u0939\u094b\u0917\u0940 :",
"options": [
"\\(\\frac{1}{4}\\) Hz",
"\\(\\frac{1}{2\\sqrt{2}}\\) Hz",
"\\(\\frac{1}{2}\\) Hz",
"2 Hz"
],
"answer": "2",
"original_question_num": "3"
},
{
"language": "hi",
"country": "India",
"file_name": "Physics-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 3,
"question": "\u090f\u0915 \u0935\u0938\u094d\u0924\u0941 \u0915\u094b \u0927\u0930\u0924\u0940 \u0938\u0947 h \u090a\u0901\u091a\u093e\u0908 \u0938\u0947 \u091b\u094b\u0921\u093c\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u091c\u092c \u092f\u0939 \u0935\u0938\u094d\u0924\u0941 \u092a\u0943\u0925\u094d\u0935\u0940 \u0938\u0947 \u091f\u0915\u0930\u093e\u0924\u0940 \u0939\u0948 \u0924\u094b \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u091f\u0915\u094d\u0915\u0930 \u092e\u0947\u0902 \u0909\u0938\u0915\u0940 50% \u0917\u0924\u093f\u091c \u090a\u0930\u094d\u091c\u093e \u0915\u094d\u0937\u092f \u0939\u094b\u0924\u0940 \u0939\u0948\u0964 \u092f\u0926\u093f t\u2192\u221e, \u0935\u0938\u094d\u0924\u0941 \u0926\u094d\u0935\u093e\u0930\u093e \u0924\u092f \u0915\u0940 \u0917\u092f\u0940 \u0915\u0941\u0932 \u0926\u0942\u0930\u0940 \u0939\u094b\u0917\u0940 :",
"options": [
"2h",
"\u221e",
"\\(\\frac{5}{3}\\) h",
"\\(\\frac{8}{3}\\) h"
],
"answer": "1",
"original_question_num": "4"
},
{
"language": "hi",
"country": "India",
"file_name": "Physics-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 12,
"question": "\u090f\u0915 \u091a\u0941\u0902\u092c\u0915\u0940\u092f \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u092e\u0947\u0902 \u0930\u0916\u0947 \u0939\u0941\u090f \u091a\u0941\u0902\u092c\u0915\u0940\u092f \u0926\u094d\u0935\u093f\u0927\u094d\u0930\u0941\u0935 \u0915\u0940 :",
"options": [
"\u0938\u094d\u0925\u093f\u0930\u093f\u0924 \u090a\u0930\u094d\u091c\u093e \u0905\u0927\u093f\u0915\u0924\u092e \u0939\u094b\u0917\u0940 \u092f\u0926\u093f \u092c\u0932 \u0906\u0918\u0942\u0930\u094d\u0923 \u0905\u0927\u093f\u0915\u0924\u092e \u0939\u0948\u0964",
"\u0938\u094d\u0925\u093f\u0930\u093f\u0924 \u090a\u0930\u094d\u091c\u093e \u0936\u0942\u0928\u094d\u092f \u0939\u094b\u0917\u0940 \u092f\u0926\u093f \u092c\u0932 \u0906\u0918\u0942\u0930\u094d\u0923 \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0939\u0948\u0964",
"\u0938\u094d\u0925\u093f\u0930\u093f\u0924 \u090a\u0930\u094d\u091c\u093e \u0936\u0942\u0928\u094d\u092f \u0939\u094b\u0917\u0940 \u092f\u0926\u093f \u092c\u0932 \u0906\u0918\u0942\u0930\u094d\u0923 \u0905\u0927\u093f\u0915\u0924\u092e \u0939\u0948\u0964",
"\u0938\u094d\u0925\u093f\u0930\u093f\u0924 \u090a\u0930\u094d\u091c\u093e \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0939\u094b\u0917\u0940 \u092f\u0926\u093f \u092c\u0932 \u0906\u0918\u0942\u0930\u094d\u0923 \u0905\u0927\u093f\u0915\u0924\u092e \u0939\u0948\u0964"
],
"answer": "2",
"original_question_num": "19"
},
{
"language": "hi",
"country": "India",
"file_name": "Physics-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 12,
"question": "\u0924\u093e\u0930 \u0938\u0947 \u092c\u0928\u0947 \u0935\u0943\u0924\u094d\u0924\u0940\u092f a \u0915\u0947 \u091b\u094b\u091f\u0947 \u0935\u0943\u0924\u094d\u0924\u093e\u0915\u093e\u0930 \u0932\u0942\u092a \u0915\u094b \u0935\u0943\u0924\u094d\u0924\u0940\u092f b \u0915\u0947 \u090f\u0915 \u092c\u0939\u0941\u0924 \u0935\u0943\u0924\u094d\u0924\u093e\u0915\u093e\u0930 \u0932\u0942\u092a \u0915\u0947 \u0915\u0947\u0902\u0926\u094d\u0930 \u092a\u0930 \u0930\u0916\u093e \u0917\u092f\u093e \u0939\u0948\u0964 \u0926\u094b\u0928\u094b\u0902 \u0932\u0942\u092a \u090f\u0915 \u0939\u0940 \u0938\u092e\u0924\u0932 \u092e\u0947\u0902 \u0939\u0948\u0902\u0964 \u0935\u0943\u0924\u094d\u0924\u0940\u092f b \u0915\u0947 \u092c\u093e\u0939\u094d\u092f \u0932\u0942\u092a \u092e\u0947\u0902 \u090f\u0915 \u092a\u094d\u0930\u0924\u094d\u092f\u093e\u0935\u0930\u094d\u0924\u0940 \u0927\u093e\u0930\u093e I = I\u2080 cos (\u03c9t) \u092a\u094d\u0930\u0935\u093e\u0939\u093f\u0924 \u0915\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948\u0964 \u0935\u0943\u0924\u094d\u0924\u0940\u092f a \u0935\u093e\u0932\u0947 \u0906\u0902\u0924\u0930\u093f\u0915 \u0932\u0942\u092a \u092e\u0947\u0902 \u092a\u094d\u0930\u0947\u0930\u093f\u0924 \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0935\u093e\u0939\u0915 \u092c\u0932 \u0939\u094b\u0917\u093e :",
"options": [
"\u03c0\u03bc\u2080 I\u2080 / 2 \u00b7 a\u00b2 / b \u03c9 sin (\u03c9t)",
"\u03c0\u03bc\u2080 I\u2080 / 2 \u00b7 a\u00b2 / b \u03c9 cos (\u03c9t)",
"\u03c0\u03bc\u2080 I\u2080 a\u00b2 / b \u03c9 sin (\u03c9t)",
"\u03c0\u03bc\u2080 I\u2080 b\u00b2 / a \u03c9 cos (\u03c9t)"
],
"answer": "2",
"original_question_num": "20"
},
{
"language": "hi",
"country": "India",
"file_name": "Physics-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 13,
"question": "\u090f\u0915 \u0938\u092e\u0924\u0932 \u0935\u0948\u0926\u094d\u092f\u0941\u0924\u091a\u0941\u0902\u092c\u0915\u0940\u092f \u0924\u0930\u0902\u0917 \u092e\u0947\u0902 \u091a\u0941\u0902\u092c\u0915\u0940\u092f \u0915\u094d\u0937\u0947\u0924\u094d\u0930\n\\(\\vec{B} = B_0 \\sin (kx + \\omega t) \\hat{j} \\) T \u0939\u0948\u0964 \u0907\u0938\u0915\u0947 \u0938\u0902\u0917\u0924 \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0915\u093e \u0938\u0942\u0924\u094d\u0930 \u0939\u094b\u0917\u093e :\n\u092f\u0939\u093e\u0901 c \u092a\u094d\u0930\u0915\u093e\u0936 \u0915\u093e \u0935\u0947\u0917 \u0939\u0948\u0964",
"options": [
"\\(\\vec{E} = B_0 c \\sin (kx + \\omega t) \\hat{k} \\) V/m",
"\\(\\vec{E} = \\frac{B_0}{c} \\sin (kx + \\omega t) \\hat{k} \\) V/m",
"\\(\\vec{E} = - B_0 c \\sin (kx + \\omega t) \\hat{k} \\) V/m",
"\\(\\vec{E} = B_0 c \\sin (kx - \\omega t) \\hat{k} \\) V/m"
],
"answer": "1",
"original_question_num": "21"
},
{
"language": "hi",
"country": "India",
"file_name": "Physics-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 13,
"question": "\u092e\u093e\u0928\u093e \u0915\u093f \u090f\u0915 \u0938\u0918\u0928 \u092e\u093e\u0927\u094d\u092f\u092e \u0915\u093e \u090f\u0915 \u0935\u093f\u0930\u0932 \u092e\u093e\u0927\u094d\u092f\u092e \u0915\u0947 \u0938\u093e\u092a\u0947\u0915\u094d\u0937 \u0905\u092a\u0935\u0930\u094d\u0924\u0928\u093e\u0902\u0915 \\(n_{12}\\) \u0939\u0948 \u0924\u0925\u093e \u0909\u0938\u0915\u093e \u0915\u094d\u0930\u093e\u0902\u0924\u093f\u0915 \u0915\u094b\u0923 \\(\\theta_C\\) \u0939\u0948\u0964 \u091c\u092c \u092a\u094d\u0930\u0915\u093e\u0936 \u090f\u0915 \u0906\u092a\u0924\u0928 \u0915\u094b\u0923 A \u0938\u0947 \u0938\u0918\u0928 \u0938\u0947 \u0935\u093f\u0930\u0932 \u092e\u093e\u0927\u094d\u092f\u092e \u092e\u0947\u0902 \u091c\u093e\u0924\u093e \u0939\u0948 \u0924\u094b \u092a\u094d\u0930\u0915\u093e\u0936 \u090f\u0915 \u092d\u093e\u0917 \u092a\u0930\u093e\u0935\u0930\u094d\u0924\u093f\u0924 \u0939\u094b\u0924\u093e \u0939\u0948 \u0914\u0930 \u092c\u091a\u093e \u0939\u0941\u0906 \u092d\u093e\u0917 \u0905\u092a\u0935\u0930\u094d\u0924\u093f\u0924 \u0939\u094b\u0924\u093e \u0939\u0948\u0964 \u092a\u0930\u093e\u0935\u0930\u094d\u0924\u093f\u0924 \u0914\u0930 \u0905\u092a\u0935\u0930\u094d\u0924\u093f\u0924 \u0915\u093f\u0930\u0923\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0915\u094b\u0923 90\u00b0 \u0939\u0948\u0964 \u0915\u094b\u0923 A \u0915\u093e \u092e\u093e\u0928 \u0939\u094b\u0917\u093e :",
"options": [
"\\(\\frac{1}{\\cos^{-1} (\\sin \\theta_C)}\\)",
"\\(\\tan^{-1} (\\sin \\theta_C)\\)",
"\\(\\cos^{-1} (\\sin \\theta_C)\\)",
"\\(\\tan^{-1} (\\sin \\theta_C)\\)"
],
"answer": "4",
"original_question_num": "22"
},
{
"language": "hi",
"country": "India",
"file_name": "Physics-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 1,
"question": "\u092f\u0926\u093f \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928, \u0932\u092e\u094d\u092c\u093e\u0908 \u0914\u0930 \u0938\u092e\u092f \u0915\u0947 \u0938\u094d\u0925\u093e\u0928 \u092a\u0930 \u0938\u092e\u092f (T), \u0935\u0947\u0917 (C) \u0924\u0925\u093e \u0915\u094b\u0923\u0940\u092f \u0938\u0902\u0935\u0947\u0917 (h) \u0915\u094b \u092e\u0942\u0932\u092d\u0942\u0924 \u0930\u093e\u0936\u093f\u092f\u093e\u0901 \u092e\u093e\u0928 \u0932\u0947\u0902 \u0924\u094b \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 \u0915\u0940 \u0935\u093f\u092e\u093e \u0915\u094b \u0907\u0928 \u0930\u093e\u0936\u093f\u092f\u094b\u0902 \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u0928\u093f\u092e\u094d\u0928 \u0924\u0930\u0940\u0915\u0947 \u0938\u0947 \u0932\u093f\u0916\u0947\u0902 :",
"options": [
"[M] = [T\u207b\u00b9 C\u207b\u00b2 h]",
"[M] = [T\u207b\u00b9 C\u00b2 h]",
"[M] = [T\u207b\u00b9 C\u207b\u00b2 h\u207b\u00b9]",
"[M] = [T C\u207b\u00b2 h]"
],
"answer": "3",
"original_question_num": "1"
},
{
"language": "hi",
"country": "India",
"file_name": "Physics-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 10,
"question": "\u0927\u093e\u0924\u0941 \u0915\u0947 \u090f\u0915 \u0917\u094b\u0932\u0947 \u0938\u0947 \u0909\u0924\u094d\u092a\u0928\u094d\u0928 \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u092e\u0947\u0902 \u0938\u0902\u091a\u093f\u0924 \u090a\u0930\u094d\u091c\u093e \u0915\u093e \u092e\u093e\u0928 4.5 J \u0939\u0948\u0964 \u092f\u0926\u093f \u0917\u094b\u0932\u0947 \u092e\u0947\u0902 \u0906\u0935\u0947\u0936 4 \u03bcC \u0939\u094b \u0924\u094b \u0909\u0938\u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e \u0915\u093e \u092e\u093e\u0928 \u0939\u094b\u0917\u093e :",
"options": [
"20 mm",
"32 mm",
"28 mm",
"16 mm"
],
"answer": "3",
"original_question_num": "15"
},
{
"language": "hi",
"country": "India",
"file_name": "Physics-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 10,
"question": "\u090f\u0915 \u0905\u0930\u094d\u0927\u091a\u093e\u0932\u0915 \u092e\u0947\u0902 \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928 \u0924\u0925\u093e \u0939\u094b\u0932 \u0915\u093e \u0938\u0902\u0916\u094d\u092f \u0918\u0928\u0924\u094d\u0935 \u0915\u094d\u0930\u092e\u0936\u0903 5 \u00d7 10^18 m^\u22123 \u0935 5 \u00d7 10^19 m^\u22123 \u0924\u0925\u093e \u0909\u0928\u0915\u0940 \u0917\u0924\u093f\u0936\u0940\u0932\u0924\u093e\u090f\u0901 \u0915\u094d\u0930\u092e\u0936\u0903 2.0 m^2 V^\u22121 s^\u22121 \u0935 0.01 m^2 V^\u22121 s^\u22121 \u0939\u0948\u0902\u0964 \u0907\u0938 \u0905\u0930\u094d\u0927\u091a\u093e\u0932\u0915 \u0915\u0940 \u091a\u093e\u0932\u0915\u0924\u093e \u0915\u094d\u092f\u093e \u0939\u094b\u0917\u0940?",
"options": [
"1.68 (\u03a9-m)^\u22121",
"1.83 (\u03a9-m)^\u22121",
"0.59 (\u03a9-m)^\u22121",
"1.20 (\u03a9-m)^\u22121"
],
"answer": "3",
"original_question_num": "16"
},
{
"language": "hi",
"country": "India",
"file_name": "Physics-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 11,
"question": "\u090f\u0915 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u092e\u0947\u0902 \u0938\u094d\u0925\u093f\u0930 \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u090f\u0935\u0902 \u091a\u0941\u0902\u092c\u0915\u0940\u092f \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0909\u092a\u0938\u094d\u0925\u093f\u0924 \u0939\u0948\u0902\u0964 \u091a\u0941\u0902\u092c\u0915\u0940\u092f \u0915\u094d\u0937\u0947\u0924\u094d\u0930 B = B0 (i\u0302 + 2j\u0302 - 4k\u0302) \u0939\u0948\u0964 \u092f\u0926\u093f \u090f\u0915 \u092a\u0930\u0940\u0915\u094d\u0937\u0923 \u0906\u0935\u0947\u0936, \u091c\u093f\u0938\u0915\u093e \u0935\u0947\u0917 v = v0 (3i\u0302 - j\u0302 + 2k\u0302), \u092a\u0930 \u0915\u094b\u0908 \u092c\u0932 \u0928\u0939\u0940\u0902 \u0932\u0917\u0924\u093e \u0939\u0948 \u0924\u094b \u0907\u0938 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u092e\u0947\u0902 SI \u092e\u093e\u0924\u094d\u0930\u0915\u094b\u0902 \u092e\u0947\u0902 \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0939\u094b\u0917\u093e:",
"options": [
"E = - v0 B0 (3i\u0302 - 2j\u0302 - 4k\u0302)",
"E = - v0 B0 (i\u0302 + j\u0302 + 7k\u0302)",
"E = v0 B0 (14j\u0302 + 7k\u0302)",
"E = - v0 B0 (14j\u0302 + 7k\u0302)"
],
"answer": "2",
"original_question_num": "18"
},
{
"language": "hi",
"country": "India",
"file_name": "Physics-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 7,
"question": "\u0938\u094d\u091f\u0940\u0932 \u0915\u0940 \u090f\u0915 \u092a\u0924\u0932\u0940 \u090f\u0935\u0902 \u0932\u092e\u094d\u092c\u0940 \u091b\u0921\u093c \u0915\u0947 \u0926\u094b\u0928\u094b\u0902 \u0938\u093f\u0930\u094b\u0902 \u092a\u0930 \u090f\u0915 \u0938\u0902\u092a\u0940\u0921\u0928 \u092c\u0932 F \u0932\u0917\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0924\u0925\u093e \u0938\u093e\u0925 \u0939\u0940 \u091b\u0921\u093c \u0915\u094b \u0917\u0930\u094d\u092e \u0915\u0930\u0915\u0947 \u0909\u0938\u0915\u093e \u0924\u093e\u092a\u092e\u093e\u0928 \u0394T \u092c\u0922\u093c\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0907\u0938\u0938\u0947 \u091b\u0921\u093c \u0915\u0940 \u0932\u092e\u094d\u092c\u093e\u0908 \u092e\u0947\u0902 \u0915\u0941\u0932 \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u0936\u0942\u0928\u094d\u092f \u0939\u0948\u0964 \u092e\u093e\u0928 \u0932\u0947\u0902 \u0915\u093f \u091b\u0921\u093c \u0915\u0940 \u0932\u092e\u094d\u092c\u093e\u0908 l, \u0905\u0928\u0941\u092a\u094d\u0930\u0938\u094d\u0925 \u0915\u093e\u091f \u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 A, \u092f\u0902\u0917 \u092a\u094d\u0930\u0924\u094d\u092f\u093e\u0938\u094d\u0925\u0924\u093e \u0917\u0941\u0923\u093e\u0902\u0915 Y \u0935 \u0930\u0947\u0916\u0940\u092f \u092a\u094d\u0930\u0938\u093e\u0930 \u0917\u0941\u0923\u093e\u0902\u0915 \u03b1 \u0939\u0948 \u0924\u094b F \u0915\u093e \u092e\u093e\u0928 \u0939\u094b\u0917\u093e :",
"options": [
"l\u00b2 Y\u03b1 \u0394T",
"lA Y\u03b1 \u0394T",
"A Y\u03b1 \u0394T",
"AY / \u03b1 \u0394T"
],
"answer": "1",
"original_question_num": "9"
},
{
"language": "hi",
"country": "India",
"file_name": "Physics-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 6,
"question": "\u092f\u0926\u093f \u092a\u0943\u0925\u094d\u0935\u0940 \u0915\u0940 \u0918\u0942\u0930\u094d\u0923\u0928 \u0917\u0924\u093f \u0936\u0942\u0928\u094d\u092f \u0939\u0948 \u0924\u094b \u090f\u0915 \u0935\u094d\u092f\u0915\u094d\u0924\u093f \u0915\u093e \u092d\u0942\u092e\u0927\u094d\u092f\u0930\u0947\u0916\u093e \u092a\u0930 \u092d\u093e\u0930 W \u0939\u0948\u0964 \u092a\u0943\u0925\u094d\u0935\u0940 \u0915\u094b \u0905\u092a\u0928\u0940 \u0927\u0941\u0930\u0940 \u0915\u0947 \u091a\u093e\u0930\u094b\u0902 \u0913\u0930 \u0918\u0942\u0930\u094d\u0923\u0928 \u0915\u0940 \u0935\u0939 \u0917\u0924\u093f \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u092f\u0947 \u091c\u093f\u0938\u0938\u0947 \u0915\u093f \u0935\u094d\u092f\u0915\u094d\u0924\u093f \u0915\u093e \u092d\u0942\u092e\u0927\u094d\u092f\u0930\u0947\u0916\u093e \u092a\u0930 \u092d\u093e\u0930 3/4 W \u0939\u094b\u0917\u093e\u0964 \u092a\u0943\u0925\u094d\u0935\u0940 \u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e 6400 km \u0914\u0930 g = 10 m/s\u00b2 \u0939\u0948\u0964",
"options": [
"1.1 x 10\u207b\u00b3 rad/s",
"0.83 x 10\u207b\u00b3 rad/s",
"0.63 x 10\u207b\u00b3 rad/s",
"0.28 x 10\u207b\u00b3 rad/s"
],
"answer": "2",
"original_question_num": "7"
},
{
"language": "hi",
"country": "India",
"file_name": "Physics-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 6,
"question": "\u090f\u0915 \u092a\u094d\u0930\u092f\u094b\u0917 \u092e\u0947\u0902 0.20 kg \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 \u0915\u0947 \u090f\u0932\u0941\u092e\u093f\u0928\u093f\u092f\u092e \u0915\u0947 \u090f\u0915 \u0917\u094b\u0932\u0947 \u0915\u094b 150\u00b0C \u0924\u0915 \u0917\u0930\u094d\u092e \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0907\u0938\u0915\u0947 \u0924\u0941\u0930\u0902\u0924 \u092c\u093e\u0926 \u0907\u0938\u0947 27\u00b0C \u0935 150 cc \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0935\u093e\u0932\u0947 \u092a\u093e\u0928\u0940 \u0938\u0947 \u092d\u0930\u0947 \u090f\u0915 \u0915\u0948\u0932\u094b\u0930\u0940\u092e\u0940\u091f\u0930, \u091c\u093f\u0938\u0915\u0947 0.025 kg \u092a\u093e\u0928\u0940 \u0915\u0947 \u0924\u0941\u0932\u094d\u092f \u0939\u0948, \u092e\u0947\u0902 \u0921\u093e\u0932 \u0926\u0947\u0924\u0947 \u0939\u0948\u0902\u0964 \u0907\u0938 \u0928\u093f\u0915\u093e\u092f \u0915\u093e \u0905\u0928\u094d\u0924 \u0924\u093e\u092a\u092e\u093e\u0928 40\u00b0C \u0939\u0948\u0964 \u090f\u0932\u0941\u092e\u093f\u0928\u093f\u092f\u092e \u0915\u0940 \u0935\u093f\u0936\u093f\u0937\u094d\u091f \u090a\u0937\u094d\u092e\u093e \u0939\u094b\u0917\u0940 : (4.2 \u091c\u0942\u0932 = 1 \u0915\u0948\u0932\u094b\u0930\u0940 \u0939\u0948\u0964)",
"options": [
"378 J/kg-\u00b0C",
"315 J/kg-\u00b0C",
"476 J/kg-\u00b0C",
"434 J/kg-\u00b0C"
],
"answer": "4",
"original_question_num": "8"
},
{
"language": "hi",
"country": "India",
"file_name": "Physics-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 17,
"question": "1.2 MHz \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u0924\u0925\u093e 25 V \u0936\u093f\u0916\u0930 \u0935\u094b\u0932\u094d\u091f\u0924\u093e \u0935\u093e\u0932\u0940 \u090f\u0915 \u0935\u093e\u0939\u0915 \u0924\u0930\u0902\u0917 \u0915\u094b 20 kHz \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u0924\u0925\u093e \u0936\u093f\u0916\u0930 \u0935\u094b\u0932\u094d\u091f\u0924\u093e 5 V \u0915\u0947 \u0938\u0902\u0915\u0947\u0924 \u0938\u0947 \u092e\u093e\u0921\u094d\u092f\u0942\u0932\u093f\u0924 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u0947\u0902 \u0938\u0947 \u0938\u0939\u0940 \u0915\u0925\u0928 \u091a\u0941\u0928\u093f\u090f\u0964",
"options": [
"\u092e\u093e\u0921\u094d\u092f\u0942\u0932\u0928 \u0938\u0942\u091a\u0915\u093e\u0902\u0915=5, \u092a\u093e\u0930\u094d\u0936\u094d\u0935 \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u092c\u0948\u0902\u0921 1400 kHz \u0924\u0925\u093e 1000 kHz \u092a\u0930 \u0939\u0948\u0902\u0964",
"\u092e\u093e\u0921\u094d\u092f\u0942\u0932\u0928 \u0938\u0942\u091a\u0915\u093e\u0902\u0915=5, \u092a\u093e\u0930\u094d\u0936\u094d\u0935 \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u092c\u0948\u0902\u0921 21.2 kHz \u0924\u0925\u093e 18.8 kHz \u092a\u0930 \u0939\u0948\u0902\u0964",
"\u092e\u093e\u0921\u094d\u092f\u0942\u0932\u0928 \u0938\u0942\u091a\u0915\u093e\u0902\u0915=0.8, \u092a\u093e\u0930\u094d\u0936\u094d\u0935 \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u092c\u0948\u0902\u0921 1180 kHz \u0924\u0925\u093e 1220 kHz \u092a\u0930 \u0939\u0948\u0902\u0964",
"\u092e\u093e\u0921\u094d\u092f\u0942\u0932\u0928 \u0938\u0942\u091a\u0915\u093e\u0902\u0915=0.2, \u092a\u093e\u0930\u094d\u0936\u094d\u0935 \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u092c\u0948\u0902\u0921 1220 kHz \u0924\u0925\u093e 1180 kHz \u092a\u0930 \u0939\u0948\u0902\u0964"
],
"answer": "4",
"original_question_num": "28"
},
{
"language": "hi",
"country": "India",
"file_name": "Physics-8th-April",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 17,
"question": "\u092c\u0932 \u0906\u0918\u0942\u0930\u094d\u0923 \u0915\u0947 \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 \u092a\u0930 \u0915\u093e\u0930\u094d\u092f \u0915\u0930\u0928\u0947 \u0935\u093e\u0932\u0940 \u090f\u0915 \u092d\u094c\u0924\u093f\u0915 \u0924\u0941\u0932\u093e \u0915\u0947 \u092c\u093e\u0901\u092f\u0947 \u092a\u0932\u0921\u093c\u0947 \u092e\u0947\u0902 \u091c\u092c 5 mg \u092d\u093e\u0930 \u0930\u0916\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0924\u094b \u0915\u093e\u0901\u091f\u093e \u0915\u094d\u0937\u0948\u0924\u093f\u091c \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0924\u0941\u0932\u093e \u0915\u0947 \u0926\u094b\u0928\u094b\u0902 \u092a\u0932\u0921\u093c\u094b\u0902 \u0915\u093e \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 \u0938\u092e\u093e\u0928 \u0939\u0948\u0964 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928 \u0938\u093e \u0915\u0925\u0928 \u0938\u0924\u094d\u092f \u0939\u0948?",
"options": [
"\u092c\u093e\u0901\u092f\u0940 \u092d\u0941\u091c\u093e, \u0926\u093e\u0901\u092f\u0940 \u092d\u0941\u091c\u093e \u0938\u0947 \u0932\u092e\u094d\u092c\u0940 \u0939\u0948\u0964",
"\u0926\u094b\u0928\u094b\u0902 \u092d\u0941\u091c\u093e\u090f\u0901 \u0938\u092e\u093e\u0928 \u0932\u092e\u094d\u092c\u093e\u0908 \u0915\u0940 \u0939\u0948\u0902\u0964",
"\u092c\u093e\u0901\u092f\u0940 \u092d\u0941\u091c\u093e, \u0926\u093e\u0901\u092f\u0940 \u092d\u0941\u091c\u093e \u0938\u0947 \u091b\u094b\u091f\u0940 \u0939\u0948\u0964",
"\u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0935\u0938\u094d\u0924\u0941 \u091c\u093f\u0938\u0915\u093e \u0907\u0938 \u0924\u0941\u0932\u093e \u092a\u0930 \u0924\u094b\u0932\u0928\u093e \u091c\u093e\u0924\u093e \u0939\u0948, \u0909\u0938\u0915\u093e \u092d\u093e\u0930 \u0905\u092a\u0928\u0947 \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u092d\u093e\u0930 \u0938\u0947 \u0915\u092e \u092a\u094d\u0930\u0924\u0940\u0924 \u0939\u094b\u0924\u093e \u0939\u0948\u0964"
],
"answer": "3",
"original_question_num": "29"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 22,
"question": "\u091c\u092c \u0915\u094d\u0932\u094b\u0930\u0940\u0928 \u0917\u0948\u0938 \u0920\u0902\u0921\u0947 \u090f\u0935\u0902 \u0924\u0928\u0941 \u091c\u0932\u0940\u092f NaOH \u0915\u0947 \u0938\u093e\u0925 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0930\u0924\u0940 \u0939\u0948 \u0924\u094b \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u094b\u0928\u0947 \u0935\u093e\u0932\u0947 \u0909\u0924\u094d\u092a\u093e\u0926 \u0939\u094b\u0902\u0917\u0947 :",
"options": [
"Cl\u207b \u0924\u0925\u093e ClO\u207b",
"Cl\u207b \u0924\u0925\u093e ClO\u2082\u207b",
"ClO\u207b \u0924\u0925\u093e ClO\u2083\u207b",
"ClO\u2082\u207b \u0924\u0925\u093e ClO\u2083\u207b"
],
"answer": "1",
"original_question_num": "46"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 22,
"question": "\u0928\u093f\u092e\u094d\u0928 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e\u0913\u0902 \u092e\u0947\u0902, ZnO \u0915\u094d\u0930\u092e\u0936\u0903 \u0915\u093e\u0930\u094d\u092f \u0915\u0930\u0947\u0917\u093e :",
"options": [
"\u0905\u092e\u094d\u0932 \u0924\u0925\u093e \u0905\u092e\u094d\u0932",
"\u0905\u092e\u094d\u0932 \u0924\u0925\u093e \u0915\u094d\u0937\u093e\u0930\u0915",
"\u0915\u094d\u0937\u093e\u0930\u0915 \u0924\u0925\u093e \u0905\u092e\u094d\u0932",
"\u0915\u094d\u0937\u093e\u0930\u0915 \u0924\u0925\u093e \u0915\u094d\u0937\u093e\u0930\u0915"
],
"answer": "2",
"original_question_num": "47"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 22,
"question": "\u090f\u0915 \u0915\u093e\u0930\u094d\u092c\u0928\u093f\u0915 \u0905\u092e\u094d\u0932 \u0915\u093e \u0938\u094b\u0921\u093f\u092f\u092e \u0932\u0935\u0923 'X' \u0938\u093e\u0928\u094d\u0926\u094d\u0930 H\u2082SO\u2084 \u0915\u0947 \u0938\u093e\u0925 \u0926\u094d\u0930\u0935\u0941\u0926\u094d\u0917\u093e\u0930 \u0926\u0947\u0924\u093e \u0939\u0948\u0964 'X' \u0905\u092e\u094d\u0932\u0940\u092f \u091c\u0932\u0940\u092f CaCl\u2082 \u0915\u0947 \u0938\u093e\u0925 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0930\u0924\u093e \u0939\u0948 \u0914\u0930 \u0938\u092b\u0947\u0926 \u0905\u0935\u0915\u094d\u0937\u0947\u092a \u0926\u0947\u0924\u093e \u0939\u0948 \u091c\u094b KMnO\u2084 \u0915\u0947 \u0905\u092e\u094d\u0932\u0940\u092f \u0935\u093f\u0932\u092f\u0928 \u0915\u094b \u0930\u0902\u0917\u0939\u0940\u0928 \u092c\u0928\u093e \u0926\u0947\u0924\u093e \u0939\u0948\u0964 'X' \u0939\u0948 :",
"options": [
"CH\u2083COONa",
"Na\u2082C\u2082O\u2084",
"C\u2086H\u2085COONa",
"HCOONa"
],
"answer": "2",
"original_question_num": "48"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 34,
"question": "\u0938\u092e\u093e\u0915\u0932 \u03c0/4 \u0938\u0947 3\u03c0/4 \u0924\u0915 dx / (1 + cos x) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"2",
"4",
"-1",
"-2"
],
"answer": "1",
"original_question_num": "75"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 34,
"question": "\u0915\u094d\u0937\u0947\u0924\u094d\u0930 {(x, y) : x \u2265 0, x + y \u2264 3, x\u00b2 \u2264 4y \u0924\u0925\u093e y \u2264 1 + \u221ax} \u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 (\u0935\u0930\u094d\u0917 \u0907\u0915\u093e\u0907\u092f\u094b\u0902) \u092e\u0947\u0902 \u0939\u0948 :",
"options": [
"3/2",
"7/3",
"5/2",
"59/12"
],
"answer": "3",
"original_question_num": "76"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 34,
"question": "\u092f\u0926\u093f (2 + sin x) dy/dx + (y + 1) cos x = 0 \u0924\u0925\u093e y(0) = 1 \u0939\u0948, \u0924\u094b y(\u03c0/2) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"-2/3",
"-1/3",
"4/3",
"1/3"
],
"answer": "4",
"original_question_num": "77"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 7,
"question": "\u0938\u0942\u0930\u094d\u092f \u0915\u0940 \u0915\u093f\u0930\u0923\u094b\u0902 \u0938\u0947 \u090f\u0915 \u0916\u0941\u0932\u0947 \u0939\u0941\u090f 30 m\u00b3 \u0906\u092f\u0924\u0928 \u0935\u093e\u0932\u0947 \u0915\u092e\u0930\u0947 \u0915\u093e \u0924\u093e\u092a\u092e\u093e\u0928 17\u00b0C \u0938\u0947 \u092c\u0922\u093c\u0915\u0930 27\u00b0C \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0915\u092e\u0930\u0947 \u0915\u0947 \u0905\u0928\u094d\u0926\u0930 \u0935\u093e\u092f\u0941\u092e\u0923\u094d\u0921\u0932\u0940\u092f \u0926\u093e\u092c 1\u00d710\u2075 Pa \u0939\u0940 \u0930\u0939\u0924\u093e \u0939\u0948\u0964 \u092f\u0926\u093f \u0915\u092e\u0930\u0947 \u0915\u0947 \u0905\u0928\u094d\u0926\u0930 \u0905\u0923\u0941\u0913\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e n\u2081 \u0914\u0930 n\u2082 \u0939\u0948\u0902 \u0924\u094b n\u2082-n\u2081 \u0915\u093e \u092e\u093e\u0928 \u0939\u094b\u0917\u093e :",
"options": [
"\u20131.61 \u00d7 10\u00b2\u00b3",
"1.38 \u00d7 10\u00b2\u00b3",
"2.5 \u00d7 10\u00b2\u2075",
"\u20132.5 \u00d7 10\u00b2\u2075"
],
"answer": "4",
"original_question_num": "11"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 18,
"question": "\u091f\u093f\u0923\u094d\u0921\u0932 \u092a\u094d\u0930\u092d\u093e\u0935 \u0924\u092d\u0940 \u0926\u093f\u0916\u093e\u0908 \u092a\u0921\u093c\u0947\u0917\u093e \u091c\u092c \u0928\u093f\u092e\u094d\u0928 \u0936\u0930\u094d\u0924\u0947\u0902 \u0938\u0902\u0924\u0941\u0937\u094d\u091f \u0939\u094b\u0924\u0940 \u0939\u0948\u0902 :",
"options": [
"(a) \u0924\u0925\u093e (c)",
"(b) \u0924\u0925\u093e (c)",
"(a) \u0924\u0925\u093e (d)",
"(b) \u0924\u0925\u093e (d)"
],
"answer": "4",
"original_question_num": "34"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 18,
"question": "\u090f\u0915 \u0927\u093e\u0924\u0941 \u092b\u0932\u0915\u0940\u092f \u0915\u0947\u0928\u094d\u0926\u094d\u0930\u0940\u0924 \u0918\u0928 \u0938\u0902\u0930\u091a\u0928\u093e \u092e\u0947\u0902 \u0915\u094d\u0930\u093f\u0938\u094d\u091f\u0932\u0940\u0924 \u0939\u094b\u0924\u0940 \u0939\u0948\u0964 \u092f\u0926\u093f \u0907\u0938\u0915\u0947 \u090f\u0915\u0915 \u0915\u094b\u0936 \u0915\u0940 \u0915\u094b\u0930 \u0932\u0902\u092c\u093e\u0908 'a' \u0939\u0948, \u0924\u094b \u0927\u093e\u0924\u094d\u0935\u093f\u0915 \u0915\u094d\u0930\u093f\u0938\u094d\u091f\u0932 \u092e\u0947\u0902 \u0926\u094b \u092a\u0930\u092e\u093e\u0923\u0941\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0928\u093f\u0915\u091f\u0924\u092e \u0926\u0942\u0930\u0940 \u0939\u094b\u0917\u0940 :",
"options": [
"\u221a2 a",
"a/\u221a2",
"2a",
"2\u221a2 a"
],
"answer": "2",
"original_question_num": "35"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 38,
"question": "\u0924\u0940\u0928 \u0918\u091f\u0928\u093e\u0913\u0902 A, B \u0924\u0925\u093e C \u0915\u0947 \u0932\u093f\u090f P(A \u0905\u0925\u0935\u093e B \u092e\u0947\u0902 \u0938\u0947 \u0915\u0947\u0935\u0932 \u090f\u0915 \u0918\u091f\u093f\u0924 \u0939\u094b\u0924\u0940 \u0939\u0948) = P(B \u0905\u0925\u0935\u093e C \u092e\u0947\u0902 \u0938\u0947 \u0915\u0947\u0935\u0932 \u090f\u0915 \u0918\u091f\u093f\u0924 \u0939\u094b\u0924\u0940 \u0939\u0948) = P(C \u0905\u0925\u0935\u093e A \u092e\u0947\u0902 \u0938\u0947 \u0915\u0947\u0935\u0932 \u090f\u0915 \u0918\u091f\u093f\u0924 \u0939\u094b\u0924\u0940 \u0939\u0948) = 1/4 \u0924\u0925\u093e P(\u0938\u092d\u0940 \u0924\u0940\u0928 \u0918\u091f\u0928\u093e\u090f\u0901 \u090f\u0915 \u0938\u093e\u0925 \u0918\u091f\u093f\u0924 \u0939\u094b\u0924\u0940 \u0939\u0948\u0902) = 1/16 \u0939\u0948, \u0924\u094b \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u093f \u0915\u092e \u0938\u0947 \u0915\u092e \u090f\u0915 \u0918\u091f\u0928\u093e \u0918\u091f\u093f\u0924 \u0939\u094b, \u0939\u0948 :",
"options": [
"7/16",
"7/64",
"3/16",
"7/32"
],
"answer": "1",
"original_question_num": "86"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 38,
"question": "\u092f\u0926\u093f \u0938\u092e\u0941\u091a\u094d\u091a\u092f {0, 1, 2, 3, ......, 10} \u092e\u0947\u0902 \u0938\u0947 \u0926\u094b \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901 \u0928\u093f\u0915\u093e\u0932\u0940 \u0917\u0908\u0902, \u0924\u094b \u0909\u0928\u0915\u0947 \u092f\u094b\u0917\u092b\u0932 \u0924\u0925\u093e \u0909\u0928\u0915\u0947 \u0905\u0902\u0924\u0930 \u0915\u0947 \u0928\u093f\u0930\u092a\u0947\u0915\u094d\u0937 \u092e\u093e\u0928, \u0926\u094b\u0928\u094b\u0902 \u0915\u0947 \u091a\u093e\u0930 \u0915\u0947 \u0917\u0941\u0923\u0915 \u0939\u094b\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0939\u0948 :",
"options": [
"12/55",
"14/45",
"7/55",
"6/55"
],
"answer": "4",
"original_question_num": "87"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 14,
"question": "\u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 m \u090f\u0935\u0902 \u0906\u0930\u092e\u094d\u092d\u093f\u0915 \u0935\u0947\u0917 v \u0915\u0947 \u090f\u0915 \u0915\u0923-A \u0915\u0940 \u091f\u0915\u094d\u0915\u0930 \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 m/2 \u0915\u0947 \u0938\u094d\u0925\u093f\u0930 \u0915\u0923-B \u0938\u0947 \u0939\u094b\u0924\u0940 \u0939\u0948\u0964 \u092f\u0939 \u091f\u0915\u094d\u0915\u0930 \u0938\u092e\u0941\u092a\u0942\u0930\u094d\u0923 \u090f\u0935\u0902 \u092a\u094d\u0930\u0924\u094d\u092f\u093e\u0938\u094d\u0925 \u0939\u0948\u0964 \u091f\u0915\u094d\u0915\u0930 \u0915\u0947 \u092c\u093e\u0926 \u0921\u093f-\u092c\u094d\u0930\u0949\u0917\u0932\u0940 \u0924\u0930\u0902\u0917\u0926\u0948\u0930\u094d\u0918\u094d\u092f \u03bbA \u090f\u0935\u0902 \u03bbB \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 \u0939\u094b\u0917\u093e :",
"options": [
"\u03bbA/\u03bbB = 1/3",
"\u03bbA/\u03bbB = 2",
"\u03bbA/\u03bbB = 2/3",
"\u03bbA/\u03bbB = 1/2"
],
"answer": "2",
"original_question_num": "24"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 15,
"question": "\u090f\u0915 \u0930\u0947\u0921\u093f\u092f\u094b\u0927\u0930\u094d\u092e\u0940 \u0928\u093e\u092d\u093f\u0915-A \u091c\u093f\u0938\u0915\u0940 \u0905\u0930\u094d\u0927-\u0906\u092f\u0941 T \u0939\u0948, \u0915\u093e \u0915\u094d\u0937\u092f \u090f\u0915 \u0928\u093e\u092d\u093f\u0915-B \u092e\u0947\u0902 \u0939\u094b\u0924\u093e \u0939\u0948\u0964 \u0938\u092e\u092f t=0 \u092a\u0930 \u0915\u094b\u0908 \u092d\u0940 \u0928\u093e\u092d\u093f\u0915-B \u0928\u0939\u0940\u0902 \u0939\u0948\u0964 \u090f\u0915 \u0938\u092e\u092f t \u092a\u0930 \u0928\u093e\u092d\u093f\u0915\u094b\u0902 B \u0924\u0925\u093e A \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 0.3 \u0939\u0948\u0964 \u0924\u094b t \u0915\u093e \u092e\u093e\u0928 \u0939\u094b\u0917\u093e :",
"options": [
"t = T/2 log 2/log 1.3",
"t = T log 1.3/log 2",
"t = T log (1.3)",
"t = T/log (1.3)"
],
"answer": "2",
"original_question_num": "26"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 15,
"question": "n-p-n \u091f\u094d\u0930\u093e\u0902\u091c\u093f\u0938\u094d\u091f\u0930 \u0938\u0947 \u092c\u0928\u093e\u092f\u0947 \u0939\u0941\u090f \u090f\u0915 \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0909\u0924\u094d\u0938\u0930\u094d\u091c\u0915 \u092a\u094d\u0930\u0935\u0930\u094d\u0927\u0915 \u092a\u0930\u093f\u092a\u0925 \u092e\u0947\u0902 \u0928\u093f\u0935\u0947\u0936\u093f\u0924 \u0924\u0925\u093e \u0928\u093f\u0930\u094d\u0917\u0924 \u0935\u093f\u092d\u0935\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0915\u094b\u0923\u093e\u0902\u0924\u0930 \u0915\u093e \u092e\u093e\u0928 \u0939\u094b\u0917\u093e :",
"options": [
"45\u00b0",
"90\u00b0",
"135\u00b0",
"180\u00b0"
],
"answer": "4",
"original_question_num": "27"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 15,
"question": "\u0906\u092f\u093e\u092e \u092e\u0949\u0921\u0941\u0932\u0928 \u092e\u0947\u0902 \u091c\u094d\u092f\u093e\u0935\u0915\u094d\u0930\u0940\u092f \u0935\u093e\u0939\u0915 \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u0915\u094b \u03c9c \u0938\u0947 \u0924\u0925\u093e \u0938\u0902\u0915\u0947\u0924 \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u0915\u094b \u03c9m \u0938\u0947 \u0926\u0930\u094d\u0936\u093e\u0924\u0947 \u0939\u0948\u0902\u0964 \u0938\u0902\u0915\u0947\u0924 \u0915\u0940 \u092c\u0948\u0902\u0921 \u091a\u094c\u0921\u093c\u093e\u0908 (\u0394\u03c9m) \u0915\u094b \u0907\u0938 \u0924\u0930\u0939 \u091a\u0941\u0928\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f \u0394\u03c9m << \u03c9c\u0964 \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928\u0938\u0940 \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u092e\u0949\u0921\u0941\u0932\u0924 \u0924\u0930\u0902\u0917 \u092e\u0947\u0902 \u0928\u0939\u0940\u0902 \u0939\u094b\u0917\u0940 ?",
"options": [
"\u03c9m",
"\u03c9c",
"\u03c9m + \u03c9c",
"\u03c9c \u2212 \u03c9m"
],
"answer": "1",
"original_question_num": "28"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 39,
"question": "\u092f\u0926\u093f 5(tan\u00b2 x - cos\u00b2 x) = 2cos 2x + 9, \u0924\u094b cos 4x \u0915\u093e \u092e\u093e\u0928 \u0939\u0948 :",
"options": [
"1/3",
"2/9",
"-7/9",
"-3/5"
],
"answer": "3",
"original_question_num": "88"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 39,
"question": "\u092e\u093e\u0928\u093e \u090f\u0915 \u090a\u0930\u094d\u0927\u094d\u0935\u093e\u0927\u0930 \u092e\u0940\u0928\u093e\u0930 AB \u0910\u0938\u0940 \u0939\u0948 \u0915\u093f \u0909\u0938\u0915\u093e \u0938\u093f\u0930\u093e A \u092d\u0942\u092e\u093f \u092a\u0930 \u0939\u0948\u0964 \u092e\u093e\u0928\u093e AB \u0915\u093e \u092e\u0927\u094d\u092f \u092c\u093f\u0902\u0926\u0941 C \u0939\u0948 \u0924\u0925\u093e \u092d\u0942\u092e\u093f \u092a\u0930 \u0938\u094d\u0925\u093f\u0924 \u092c\u093f\u0902\u0926\u0941 P \u0910\u0938\u093e \u0939\u0948 \u0915\u093f AP = 2AB \u092f\u0926\u093f \u2220BPC = \u03b2 \u0939\u0948, \u0924\u094b tan \u03b2 \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"1/4",
"2/9",
"4/9",
"6/7"
],
"answer": "2",
"original_question_num": "89"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "reasoning",
"category_original_lang": "\u0924\u0930\u094d\u0915\u0936\u0915\u094d\u0924\u093f",
"page_num": 39,
"question": "\u0928\u093f\u092e\u094d\u0928 \u0915\u0925\u0928 (p\u2192q)\u2192[(~p\u2192q)\u2192q] \u0939\u0948 :",
"options": [
"~p\u2192q \u0915\u0947 \u0938\u092e\u0924\u0941\u0932\u094d\u092f \u0939\u0948",
"p\u2192q \u0915\u0947 \u0938\u092e\u0924\u0941\u0932\u094d\u092f \u0939\u0948",
"\u090f\u0915 \u0939\u0947\u0902\u0932\u092a\u093e\u0938 (fallacy) \u0939\u0948",
"\u090f\u0915 \u092a\u0941\u0928\u0930\u0941\u0915\u094d\u0924\u093f (tautology) \u0939\u0948"
],
"answer": "4",
"original_question_num": "90"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 19,
"question": "\u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u092a\u094d\u0930\u092c\u0932\u0924\u092e \u0905\u092a\u091a\u093e\u092f\u0915 \u0939\u0948 :",
"options": [
"Cr\u00b3\u207a",
"Cl\u207b",
"Cr",
"Mn\u00b2\u207a"
],
"answer": "3",
"original_question_num": "36"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 19,
"question": "\u091c\u092c \u090f\u0938\u093f\u091f\u093f\u0915 \u090f\u0938\u093f\u0921 \u0915\u093e 0.2 g \u092c\u0947\u0902\u091c\u0940\u0928 \u0915\u0947 20 g \u092e\u0947\u0902 \u092e\u093f\u0932\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0924\u094b \u092c\u0947\u0902\u091c\u0940\u0928 \u0915\u093e \u0939\u093f\u092e\u093e\u0902\u0915 0.45\u00b0C \u0938\u0947 \u0915\u092e \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u092f\u0926\u093f \u090f\u0938\u093f\u091f\u093f\u0915 \u090f\u0938\u093f\u0921 \u092e\u0947\u0902 \u0938\u0902\u092f\u094b\u0917\u093f\u0924 \u0939\u094b\u0915\u0930 \u0926\u094d\u0935\u093f\u092e\u0947\u0930 (\u0921\u093e\u0907\u092e\u0930) \u092c\u0928\u093e\u0924\u093e \u0939\u0948 \u0924\u094b \u090f\u0938\u093f\u091f\u093f\u0915 \u090f\u0938\u093f\u0921 \u0915\u093e \u092a\u094d\u0930\u0924\u093f\u0936\u0924\u0924\u093e \u0938\u0902\u092f\u094b\u0917\u0928 \u0939\u094b\u0917\u093e : (\u092c\u0947\u0902\u091c\u0940\u0928 \u0915\u0947 \u0932\u093f\u090f Kf = 5.12 K kg mol\u207b\u00b9)",
"options": [
"74.6%",
"94.6%",
"64.6%",
"80.4%"
],
"answer": "2",
"original_question_num": "37"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 19,
"question": "\u0939\u093e\u0907\u0921\u094d\u0930\u094b\u091c\u0928 \u092a\u0930\u092e\u093e\u0923\u0941 \u0915\u0947 \u0926\u094d\u0935\u093f\u0924\u0940\u092f \u092c\u094b\u0930 \u0915\u0915\u094d\u0937\u093e \u0915\u093e \u0905\u0930\u094d\u0927\u0935\u094d\u092f\u093e\u0938 \u0939\u094b\u0917\u093e : (\u092a\u094d\u0932\u093e\u0902\u0915 \u0938\u094d\u0925\u093f\u0930\u093e\u0902\u0915 h = 6.6262 \u00d7 10\u207b\u00b3\u2074 Js; \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928 \u0915\u093e \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 = 9.1091 \u00d7 10\u207b\u00b3\u00b9 kg; \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928 \u092a\u0930 \u0906\u0935\u0947\u0936 e = 1.60210 \u00d7 10\u207b\u00b9\u2079 C; \u0928\u093f\u0930\u094d\u0935\u093e\u0924 \u0915\u093e \u092a\u0930\u093e\u0935\u0948\u0926\u094d\u092f\u0941\u0924\u093e\u0902\u0915 \u03b5\u2080 = 8.854185 \u00d7 10\u207b\u00b9\u00b2 kg\u207b\u00b9m\u207b\u00b3A\u00b2)",
"options": [
"0.529 \u00c5",
"2.12 \u00c5",
"1.65 \u00c5",
"4.76 \u00c5"
],
"answer": "2",
"original_question_num": "38"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 6,
"question": "0\u00b0C \u092a\u0930 \u0930\u0916\u0947 \u0939\u0941\u090f \u090f\u0915 \u0918\u0928 \u092a\u0930 \u090f\u0915 \u0926\u092c\u093e\u0935 P \u0932\u0917\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u091c\u093f\u0938\u0938\u0947 \u0935\u0939 \u0938\u092d\u0940 \u0924\u0930\u092b \u0938\u0947 \u092c\u0930\u093e\u092c\u0930 \u0938\u0902\u092a\u0940\u0921\u093f\u0924 \u0939\u094b\u0924\u093e \u0939\u0948\u0964 \u0918\u0928 \u0915\u0947 \u092a\u0926\u093e\u0930\u094d\u0925 \u0915\u093e \u0906\u092f\u0924\u0928 \u092a\u094d\u0930\u0924\u094d\u092f\u093e\u0938\u094d\u0925\u0924\u093e \u0917\u0941\u0923\u093e\u0902\u0915 K \u090f\u0935\u0902 \u0930\u0947\u0916\u0940\u092f \u092a\u094d\u0930\u0938\u093e\u0930 \u0917\u0941\u0923\u093e\u0902\u0915 \u03b1 \u0939\u0948\u0964 \u092f\u0926\u093f \u0918\u0928 \u0915\u094b \u0917\u0930\u094d\u092e \u0915\u0930\u0915\u0947 \u092e\u0942\u0932 \u0906\u0915\u093e\u0930 \u092e\u0947\u0902 \u0932\u093e\u0928\u093e \u0939\u0948 \u0924\u094b \u0909\u0938\u0915\u0947 \u0924\u093e\u092a\u092e\u093e\u0928 \u0915\u094b \u0915\u093f\u0924\u0928\u093e \u092c\u0922\u093c\u093e\u0928\u093e \u092a\u0921\u093c\u0947\u0917\u093e?",
"options": [
"P/3\u03b1K",
"P/\u03b1K",
"3\u03b1/PK",
"3PK\u03b1"
],
"answer": "1",
"original_question_num": "9"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 6,
"question": "\u0938\u094d\u0925\u093f\u0930 \u0926\u093e\u092c \u0924\u0925\u093e \u0938\u094d\u0925\u093f\u0930 \u0906\u092f\u0924\u0928 \u092a\u0930 \u0935\u093f\u0936\u093f\u0937\u094d\u091f \u090a\u0937\u094d\u092e\u093e\u092f\u0947\u0902 \u0915\u094d\u0930\u092e\u0936\u0903 Cp \u0924\u0925\u093e Cv \u0939\u0948\u0902\u0964 \u092a\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0915\u093f\n\u0939\u093e\u0907\u0921\u094d\u0930\u094b\u091c\u0928 \u0915\u0947 \u0932\u093f\u092f\u0947, Cp - Cv = a\n\u0928\u093e\u0907\u091f\u094d\u0930\u094b\u091c\u0928 \u0915\u0947 \u0932\u093f\u092f\u0947, Cp - Cv = b\na \u0914\u0930 b \u0915\u0947 \u092c\u0940\u091a \u0915\u093e \u0938\u0939\u0940 \u0938\u092e\u094d\u092c\u0928\u094d\u0927 \u0939\u094b\u0917\u093e :",
"options": [
"a = 1/14 b",
"a = b",
"a = 14 b",
"a = 28 b"
],
"answer": "3",
"original_question_num": "10"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 35,
"question": "\u092e\u093e\u0928\u093e k \u090f\u0915 \u0910\u0938\u093e \u092a\u0942\u0930\u094d\u0923\u093e\u0902\u0915 \u0939\u0948 \u0915\u093f \u0924\u094d\u0930\u093f\u092d\u0941\u091c, \u091c\u093f\u0938\u0915\u0947 \u0936\u0940\u0930\u094d\u0937 (k, -3k), (5, k) \u0924\u0925\u093e (-k, 2) \u0939\u0948\u0902, \u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 28 \u0935\u0930\u094d\u0917 \u0907\u0915\u093e\u0908 \u0939\u0948, \u0924\u094b \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0915\u0947 \u0932\u092e\u094d\u092c-\u0915\u0947\u0902\u0926\u094d\u0930 \u091c\u093f\u0938 \u092c\u093f\u0902\u0926\u0941 \u092a\u0930 \u0939\u0948, \u0935\u0939 \u0939\u0948 :",
"options": [
"\\(\\left(1, \\frac{3}{4}\\right)\\)",
"\\(\\left(1, -\\frac{3}{4}\\right)\\)",
"\\(\\left(2, \\frac{1}{2}\\right)\\)",
"\\(\\left(2, -\\frac{1}{2}\\right)\\)"
],
"answer": "3",
"original_question_num": "78"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 35,
"question": "\u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u0935\u093e\u0932\u0947 \u0910\u0938\u0947 \u0935\u0943\u0924\u094d\u0924, \u091c\u094b \u0935\u0915\u094d\u0930 \\(y = 4 - x^2\\) \u0924\u0925\u093e \u0930\u0947\u0916\u093e\u0913\u0902 \\(y = |x|\\) \u0915\u094b \u0938\u094d\u092a\u0930\u094d\u0936 \u0915\u0930\u0924\u093e \u0939\u0948, \u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e \u0939\u0948 :",
"options": [
"\\(2(\\sqrt{2} - 1)\\)",
"\\(4(\\sqrt{2} - 1)\\)",
"\\(4(\\sqrt{2} + 1)\\)",
"\\(2(\\sqrt{2} + 1)\\)"
],
"answer": "2",
"original_question_num": "79"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 35,
"question": "\u090f\u0915 \u0926\u0940\u0930\u094d\u0918\u0935\u0943\u0924\u094d\u0924, \u091c\u093f\u0938\u0915\u093e \u0915\u0947\u0902\u0926\u094d\u0930 \u092e\u0942\u0932 \u092c\u093f\u0902\u0926\u0941 \u092a\u0930 \u0939\u0948, \u0915\u0940 \u0909\u0924\u094d\u0915\u0947\u0928\u094d\u0926\u094d\u0930\u0924\u093e \\(\\frac{1}{2}\\) \u0939\u0948\u0964 \u092f\u0926\u093f \u0909\u0938\u0915\u0940 \u090f\u0915 \u0928\u093f\u092f\u0924\u093e \\(x = -4\\) \u0939\u0948, \u0924\u094b \u0909\u0938\u0915\u0947 \u092c\u093f\u0902\u0926\u0941 \\(\\left(1, \\frac{3}{2}\\right)\\) \u092a\u0930 \u0909\u0938\u0915\u0947 \u0905\u092d\u093f\u0932\u0902\u092c \u0915\u093e \u0938\u092e\u0940\u0915\u0930\u0923 \u0939\u0948 :",
"options": [
"\\(4x - 2y = 1\\)",
"\\(4x + 2y = 7\\)",
"\\(x + 2y = 4\\)",
"\\(2y - x = 2\\)"
],
"answer": "1",
"original_question_num": "80"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 23,
"question": "\u090f\u0915 \u0938\u094d\u0935\u0938\u094d\u0925 \u092e\u0928\u0941\u0937\u094d\u092f \u0915\u0947 \u0936\u0930\u0940\u0930 \u092e\u0947\u0902 \u092e\u093e\u0924\u094d\u0930\u093e \u0915\u0940 \u0926\u0943\u0937\u094d\u091f\u093f \u0938\u0947 \u092c\u0939\u0941\u0932\u0924\u093e \u0938\u0947 \u092e\u093f\u0932\u0928\u0947 \u0935\u093e\u0932\u0947 \u0924\u0924\u094d\u0935 \u0939\u0948\u0902 : \u0911\u0915\u094d\u0938\u0940\u091c\u0928 (61.4%); \u0915\u093e\u0930\u094d\u092c\u0928 (22.9%); \u0939\u093e\u0907\u0921\u094d\u0930\u094b\u091c\u0928 (10.0%); \u0924\u0925\u093e \u0928\u093e\u0907\u091f\u094d\u0930\u094b\u091c\u0928 (2.6%)\u0964 75 kg \u0935\u091c\u0928 \u0935\u093e\u0932\u0947 \u090f\u0915 \u0935\u094d\u092f\u0915\u094d\u0924\u093f \u0915\u0947 \u0936\u0930\u0940\u0930 \u0938\u0947 \u0938\u092d\u0940 1H \u092a\u0930\u092e\u093e\u0923\u0941\u0913\u0902 \u0915\u094b 2H \u092a\u0930\u092e\u093e\u0923\u0941\u0913\u0902 \u0938\u0947 \u092c\u0926\u0932 \u0926\u093f\u092f\u093e \u091c\u093e\u090f \u0924\u094b \u0909\u0938\u0915\u0947 \u092d\u093e\u0930 \u092e\u0947\u0902 \u091c\u094b \u0935\u0943\u0926\u094d\u0927\u093f \u0939\u094b\u0917\u0940, \u0935\u0939 \u0939\u0948 :",
"options": [
"7.5 kg",
"10 kg",
"15 kg",
"37.5 kg"
],
"answer": "1",
"original_question_num": "49"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 23,
"question": "CoCl3.6H2O \u0915\u0947 0.1 M \u0935\u093f\u0932\u092f\u0928 \u0915\u0947 100 mL \u0915\u094b AgNO3 \u0915\u0947 \u0906\u0927\u093f\u0915\u094d\u092f \u092e\u0947\u0902 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0930\u0928\u0947 \u092a\u0930 1.2 x 10^22 \u0906\u092f\u0928 \u0905\u0935\u0915\u094d\u0937\u0947\u092a\u093f\u0924 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902\u0964 \u0938\u0902\u0915\u0941\u0932 \u0939\u0948 :",
"options": [
"[Co(H2O)6]Cl3",
"[Co(H2O)5Cl]Cl2.H2O",
"[Co(H2O)4Cl2]Cl.2H2O",
"[Co(H2O)3Cl3].3H2O"
],
"answer": "2",
"original_question_num": "50"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 32,
"question": "\u092e\u093e\u0928\u093e a, b, c \u2208 R\u0964 \u092f\u0926\u093f f(x) = ax\u00b2 + bx + c \u0910\u0938\u093e \u0939\u0948 \u0915\u093f a + b + c = 3 \u0939\u0948 \u0924\u0925\u093e \u0938\u092d\u0940 x, y \u2208 R \u0915\u0947 \u0932\u093f\u090f f(x + y) = f(x) + f(y) + xy \u0939\u0948, \u0924\u094b 10 \u03a3 f(n) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"165",
"190",
"255",
"330"
],
"answer": "4",
"original_question_num": "69"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 32,
"question": "lim x\u2192\u03c0/2 cot x - cos x / (\u03c0 - 2x)\u00b3 \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"1/16",
"1/8",
"1/4",
"1/24"
],
"answer": "1",
"original_question_num": "70"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 32,
"question": "\u092f\u0926\u093f x \u2208 (0, 1/4) \u0915\u0947 \u0932\u093f\u090f tan\u207b\u00b9(6x\u221ax / 1 - 9x\u00b3) \u0915\u093e \u0905\u0935\u0915\u0932\u0928 \u221ax \u22c5 g(x) \u0939\u0948, \u0924\u094b g(x) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"3x\u221ax / 1 - 9x\u00b3",
"-3x / 1 - 9x\u00b3",
"3 / 1 + 9x\u00b3",
"-9 / 1 + 9x\u00b3"
],
"answer": "4",
"original_question_num": "71"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 33,
"question": "\u0935\u0915\u094d\u0930 y(x-2)(x-3) = x + 6 \u0915\u0947 \u0909\u0938 \u092c\u093f\u0902\u0926\u0941 \u092a\u0930, \u091c\u0939\u093e\u0901 \u0935\u0915\u094d\u0930 y-\u0905\u0915\u094d\u0937 \u0915\u094b \u0915\u093e\u091f\u0924\u0940 \u0939\u0948, \u0916\u0940\u0902\u091a\u093e \u0917\u092f\u093e \u0905\u092d\u093f\u0932\u0902\u092c \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u093f\u0938 \u092c\u093f\u0902\u0926\u0941 \u0938\u0947 \u0939\u094b\u0915\u0930 \u091c\u093e\u0924\u093e \u0939\u0948 ?",
"options": [
"(1/2, 1/2)",
"(1/2, -1/3)",
"(1/2, 1/3)",
"(-1/2, 1/2)"
],
"answer": "1",
"original_question_num": "72"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 33,
"question": "\u090f\u0915 \u092b\u0942\u0932\u094b\u0902 \u0915\u0940 \u0915\u094d\u092f\u093e\u0930\u0940, \u091c\u094b \u090f\u0915 \u0935\u0943\u0924\u094d\u0924 \u0915\u0947 \u0928\u093f\u092e\u094d\u0928 \u0916\u0902\u0921 \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u0939\u0948, \u0915\u094b \u0918\u0947\u0930\u093e\u092c\u0902\u0926\u0940 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092c\u0940\u0938 \u092e\u0940\u091f\u0930 \u0924\u093e\u0930 \u0909\u092a\u0932\u092c\u094d\u0927 \u0939\u0948\u0964 \u0924\u094b \u092b\u0942\u0932\u094b\u0902 \u0915\u0940 \u0915\u094d\u092f\u093e\u0930\u0940 \u0915\u093e \u0905\u0927\u093f\u0915\u0924\u092e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 (\u0935\u0930\u094d\u0917 \u092e\u0940. \u092e\u0947\u0902), \u0939\u0948 :",
"options": [
"10",
"25",
"30",
"12.5"
],
"answer": "2",
"original_question_num": "73"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 33,
"question": "\u092e\u093e\u0928\u094b I_n = \u222b tan^n x dx, (n > 1) \u0939\u0948 \u0964 \u092f\u0926\u093f I_4 + I_6 = a tan^5 x + bx^5 + C \u0939\u0948, \u091c\u0939\u093e\u0901 C \u090f\u0915 \u0938\u092e\u093e\u0915\u0932\u0928 \u0905\u0935\u092f \u0939\u0948, \u0924\u094b \u0915\u094d\u0930\u092e\u093f\u0924 \u092f\u0941\u0917\u094d\u092e (a, b) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"(1/5, 0)",
"(1/5, -1)",
"(-1/5, 0)",
"(-1/5, 1)"
],
"answer": "1",
"original_question_num": "74"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 25,
"question": "\u0928\u093f\u092e\u094d\u0928 \u092c\u0939\u0941\u0932\u0915\u094b\u0902 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928 \u0938\u0947 \u092c\u0939\u0941\u0932\u0915 \u092e\u0947\u0902 \u091c\u0932 \u0905\u092a\u0918\u091f\u0928 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0938\u092e\u094d\u092e\u093f\u0932\u093f\u0924 \u0939\u0948 ?",
"options": [
"\u0928\u093e\u0907\u0932\u0949\u0928 6, 6",
"\u091f\u0947\u0930\u0940\u0932\u0940\u0928",
"\u0928\u093e\u0907\u0932\u0949\u0928 6",
"\u092c\u0947\u0915\u0947\u0932\u093e\u0907\u091f"
],
"answer": "3",
"original_question_num": "53"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 13,
"question": "\u090f\u0915 25 cm \u092a\u0930\u093f\u092e\u093e\u0923 \u0915\u0940 \u092b\u094b\u0915\u0938 \u0926\u0942\u0930\u0940 \u0915\u0947 \u0905\u092a\u0938\u093e\u0930\u0940 \u0932\u0947\u0902\u0938 \u0915\u094b \u090f\u0915 20 cm \u092a\u0930\u093f\u092e\u093e\u0923 \u0915\u0940 \u092b\u094b\u0915\u0938 \u0926\u0942\u0930\u0940 \u0915\u0947 \u0905\u092d\u093f\u0938\u093e\u0930\u0940 \u0932\u0947\u0902\u0938 \u0938\u0947 15 cm \u0915\u0940 \u0926\u0942\u0930\u0940 \u092a\u0930 \u0930\u0916\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u090f\u0915 \u0938\u092e\u093e\u0928\u093e\u0902\u0924\u0930 \u092a\u094d\u0930\u0915\u093e\u0936 \u092a\u0941\u0902\u091c \u0905\u092a\u0938\u093e\u0930\u0940 \u0932\u0947\u0902\u0938 \u092a\u0930 \u0906\u092a\u0935\u093f\u0924 \u0939\u094b\u0924\u093e \u0939\u0948\u0964 \u092a\u0930\u093f\u0923\u093e\u092e\u0940 \u092a\u094d\u0930\u0924\u093f\u092c\u093f\u0902\u092c \u0939\u094b\u0917\u093e :",
"options": [
"\u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u0914\u0930 \u0905\u092d\u093f\u0938\u093e\u0930\u0940 \u0932\u0947\u0902\u0938 \u0938\u0947 40 cm \u0926\u0942\u0930\u0940 \u092a\u0930",
"\u0906\u092d\u093e\u0938\u0940 \u0914\u0930 \u0905\u092d\u093f\u0938\u093e\u0930\u0940 \u0932\u0947\u0902\u0938 \u0938\u0947 40 cm \u0926\u0942\u0930\u0940 \u092a\u0930",
"\u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u0914\u0930 \u0905\u092a\u0938\u093e\u0930\u0940 \u0932\u0947\u0902\u0938 \u0938\u0947 40 cm \u0926\u0942\u0930\u0940 \u092a\u0930",
"\u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u0914\u0930 \u0905\u092d\u093f\u0938\u093e\u0930\u0940 \u0932\u0947\u0902\u0938 \u0938\u0947 6 cm \u0926\u0942\u0930\u0940 \u092a\u0930"
],
"answer": "1",
"original_question_num": "22"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 13,
"question": "\u092f\u0902\u0917 \u0915\u0947 \u090f\u0915 \u0926\u094d\u0935\u093f\u0926\u094d\u0935\u093e\u0930 \u092a\u094d\u0930\u092f\u094b\u0917 \u092e\u0947\u0902, \u0926\u094d\u0935\u093e\u0930\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0915\u0940 \u0926\u0942\u0930\u0940 0.5 mm \u090f\u0935\u0902 \u092a\u0930\u094d\u0926\u0947 \u0915\u0940 \u0926\u0942\u0930\u0940 \u0939\u0948 150 cm \u0939\u0948\u0964 \u090f\u0915 \u092a\u094d\u0930\u0915\u093e\u0936 \u092a\u0941\u0902\u091c, \u091c\u093f\u0938\u092e\u0947\u0902 650 nm \u0914\u0930 520 nm \u0915\u0940 \u0926\u094b \u0924\u0930\u0902\u0917\u0926\u0948\u0930\u094d\u0918\u094d\u092f \u0939\u0948\u0902, \u0915\u094b \u092a\u0930\u094d\u0926\u0947 \u092a\u0930 \u0935\u094d\u092f\u0924\u093f\u0915\u0930\u0923 \u092b\u094d\u0930\u093f\u0902\u091c \u092c\u0928\u093e\u0928\u0947 \u092e\u0947\u0902 \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964 \u0909\u092a\u092f\u0941\u0915\u094d\u0924 \u0915\u0947\u0902\u0926\u094d\u0930\u0940\u092f \u092c\u093f\u0902\u0926\u0941 \u0938\u0947 \u0935\u0939 \u092c\u093f\u0902\u0926\u0941, \u091c\u0939\u093e\u0901 \u0926\u094b\u0928\u094b\u0902 \u0924\u0930\u0902\u0917\u0926\u0948\u0930\u094d\u0918\u094d\u092f \u0915\u0940 \u0926\u0940\u092a\u094d\u0924 \u092b\u094d\u0930\u093f\u0902\u091c\u0947\u0902 \u0938\u092e\u093e\u092a\u094d\u0924 \u0939\u094b\u0924\u0940 \u0939\u0948\u0902, \u0915\u0940 \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0926\u0942\u0930\u0940 \u0939\u094b\u0917\u0940 :",
"options": [
"1.56 mm",
"7.8 mm",
"9.75 mm",
"15.6 mm"
],
"answer": "2",
"original_question_num": "23"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 29,
"question": "\u092b\u0932\u0928 f : R \u2192 [ -1/2, 1/2 ] \u091c\u094b f(x) = x / (1 + x^2) \u0926\u094d\u0935\u093e\u0930\u093e \u092a\u0930\u093f\u092d\u093e\u0937\u093f\u0924 \u0939\u0948 :",
"options": [
"\u090f\u0915\u0947\u0915 \u0939\u0948 \u092a\u0930\u0902\u0924\u0941 \u0906\u0915\u094d\u0930\u093e\u092e\u0940 \u0928\u0939\u0940\u0902 \u0939\u0948\u0964",
"\u0906\u0915\u094d\u0930\u093e\u092e\u0940 \u0939\u0948 \u092a\u0930\u0902\u0924\u0941 \u090f\u0915\u0947\u0915 \u0928\u0939\u0940\u0902 \u0939\u0948\u0964",
"\u0928 \u0924\u094b \u0906\u0915\u094d\u0930\u093e\u092e\u0940 \u0914\u0930 \u0928 \u0939\u0940 \u090f\u0915\u0947\u0915 \u0939\u0948\u0964",
"\u0935\u094d\u092f\u0941\u0924\u094d\u0915\u094d\u0930\u092e\u0923\u0940\u092f \u0939\u0948\u0964"
],
"answer": "2",
"original_question_num": "61"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 29,
"question": "\u092f\u0926\u093f \u0915\u093f\u0938\u0940 \u0927\u0928\u092a\u0942\u0930\u094d\u0923\u093e\u0902\u0915 n \u0915\u0947 \u0932\u093f\u090f, \u0926\u094d\u0935\u093f\u0918\u093e\u0924\u0940 \u0938\u092e\u0940\u0915\u0930\u0923 x(x + 1) + (x + 1)(x + 2) + .... + (x + n - 1)(x + n) = 10n \u0915\u0947 \u0926\u094b \u0915\u094d\u0930\u092e\u093f\u0915 \u092a\u0942\u0930\u094d\u0923\u093e\u0902\u0915 \u0939\u0932 \u0939\u0948\u0902, \u0924\u094b n \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"9",
"10",
"11",
"12"
],
"answer": "3",
"original_question_num": "62"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 29,
"question": "\u092e\u093e\u0928\u094b \u03c9 \u090f\u0915 \u0938\u092e\u094d\u092e\u093f\u0936\u094d\u0930 \u0938\u0902\u0916\u094d\u092f\u093e \u0910\u0938\u0940 \u0939\u0948 \u0915\u093f 2\u03c9 + 1 = z \u091c\u0939\u093e\u0901 z = \u221a-3 \u0939\u0948\u0964 \u092f\u0926\u093f |1 1 1| |1 -\u03c9^2 -1 \u03c9^2| |1 \u03c9^2 \u03c9| = 3k \u0939\u0948 \u0924\u094b k \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"z",
"-1",
"1",
"-z"
],
"answer": "4",
"original_question_num": "63"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 10,
"question": "\u090f\u0915 \u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u0906\u0918\u0942\u0930\u094d\u0923 6.7 \u00d7 10\u207b\u00b2 Am\u00b2 \u090f\u0935\u0902 \u091c\u0921\u093c\u0924\u094d\u0935 \u0906\u0918\u0942\u0930\u094d\u0923 7.5 \u00d7 10\u207b\u2076 kg m\u00b2 \u0935\u093e\u0932\u0940 \u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u0938\u0941\u0908, \u090f\u0915 0.01 T \u0924\u0940\u0935\u094d\u0930\u0924\u093e \u0915\u0947 \u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u092e\u0947\u0902 \u0938\u0930\u0932 \u0906\u0935\u0930\u094d\u0924\u094d\u0924 \u0926\u094b\u0932\u0928 \u0915\u0930 \u0930\u0939\u0940 \u0939\u0948\u0964 10 \u092a\u0942\u0930\u0947 \u0926\u094b\u0932\u0928 \u0915\u093e \u0938\u092e\u092f \u0939\u094b\u0917\u093e :",
"options": [
"6.65 s",
"8.89 s",
"6.98 s",
"8.76 s"
],
"answer": "1",
"original_question_num": "18"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 3,
"question": "m=10^-2 kg \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 \u0915\u093e \u090f\u0915 \u092a\u093f\u0902\u0921 \u090f\u0915 \u092e\u093e\u0927\u094d\u092f\u092e \u092e\u0947\u0902 \u091c\u093e \u0930\u0939\u093e \u0939\u0948 \u0914\u0930 \u090f\u0915 \u0918\u0930\u094d\u0937\u0923 \u092c\u0932 F = - k v^2 \u0915\u093e \u0905\u0928\u0941\u092d\u0935 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u092a\u093f\u0902\u0921 \u0915\u093e \u092a\u094d\u0930\u093e\u0930\u0902\u092d\u093f\u0915 \u0935\u0947\u0917 v_0 = 10 ms^-1 \u0939\u0948\u0964 \u092f\u0926\u093f 10 s \u0915\u0947 \u092c\u093e\u0926 \u0909\u0938\u0915\u0940 \u090a\u0930\u094d\u091c\u093e 1/8 m v_0^2 \u0939\u0948 \u0924\u094b k \u0915\u093e \u092e\u093e\u0928 \u0939\u094b\u0917\u093e :",
"options": [
"10^-3 kg m^-1",
"10^-3 kg s^-1",
"10^-4 kg m^-1",
"10^-1 kg m^-1 s^-1"
],
"answer": "3",
"original_question_num": "3"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 3,
"question": "1 kg \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 \u0915\u093e \u090f\u0915 \u0915\u0923, \u090f\u0915 \u0938\u092e\u092f \u092a\u0930 \u0928\u093f\u0930\u094d\u092d\u0930 (time dependent) \u092c\u0932 F = 6t \u0915\u093e \u0905\u0928\u0941\u092d\u0935 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u092f\u0926\u093f \u0915\u0923 \u0935\u093f\u0930\u093e\u092e\u093e\u0935\u0938\u094d\u0925\u093e \u0938\u0947 \u091a\u0932\u0924\u093e \u0939\u0948 \u0924\u094b \u092a\u0939\u0932\u0947 1 s \u092e\u0947\u0902 \u092c\u0932 \u0926\u094d\u0935\u093e\u0930\u093e \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0915\u093e\u0930\u094d\u092f \u0939\u094b\u0917\u093e :",
"options": [
"4.5 J",
"22 J",
"9 J",
"18 J"
],
"answer": "1",
"original_question_num": "4"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 30,
"question": "\u092f\u0926\u093f A = \\(\\begin{bmatrix} 2 & -3 \\\\ -4 & 1 \\end{bmatrix}\\) \u0939\u0948, \u0924\u094b adj (3A^2 + 12A) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"\\(\\begin{bmatrix} 51 & 63 \\\\ 84 & 72 \\end{bmatrix}\\)",
"\\(\\begin{bmatrix} 51 & 84 \\\\ 63 & 72 \\end{bmatrix}\\)",
"\\(\\begin{bmatrix} 72 & -63 \\\\ -84 & 51 \\end{bmatrix}\\)",
"\\(\\begin{bmatrix} 72 & -84 \\\\ -63 & 51 \\end{bmatrix}\\)"
],
"answer": "1",
"original_question_num": "64"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 30,
"question": "\u092f\u0926\u093f S, 'b' \u0915\u0940 \u0909\u0928 \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u092e\u093e\u0928\u094b\u0902 \u0915\u093e \u0938\u092e\u0942\u0939 \u0939\u0948 \u091c\u093f\u0928\u0915\u0947 \u0932\u093f\u090f \u0928\u093f\u092e\u094d\u0928 \u0930\u0948\u0916\u093f\u0915 \u0938\u092e\u0940\u0915\u0930\u0923 \u0928\u093f\u0915\u093e\u092f \u0915\u093e \u0915\u094b\u0908 \u0939\u0932 \u0928\u0939\u0940\u0902 \u0939\u0948, \u0924\u094b S \u0939\u0948 :\n\\[ x + y + z = 1 \\]\n\\[ x + ay + z = 1 \\]\n\\[ ax + by + z = 0 \\]\n",
"options": [
"\u090f\u0915 \u0905\u092a\u0930\u093f\u092e\u093f\u0924 \u0938\u092e\u0942\u0939 \u0939\u0948",
"\u090f\u0915 \u092a\u0930\u093f\u092e\u093f\u0924 \u0938\u092e\u0942\u0939 \u0939\u0948 \u091c\u093f\u0938\u092e\u0947\u0902 \u0926\u094b \u092f\u093e \u0905\u0927\u093f\u0915 \u0905\u0935\u092f\u0935 \u0939\u0948\u0902",
"\u090f\u0915 \u0939\u0940 \u0905\u0935\u092f\u0935 \u0935\u093e\u0932\u093e \u0938\u092e\u0942\u0939 \u0939\u0948",
"\u090f\u0915 \u0930\u093f\u0915\u094d\u0924 \u0938\u092e\u0942\u0939 \u0939\u0948"
],
"answer": "3",
"original_question_num": "65"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 27,
"question": "\u092a\u0930\u093e\u0915\u094d\u0938\u093e\u0907\u0921 \u0915\u0940 \u0909\u092a\u0938\u094d\u0925\u093f\u0924\u093f \u092e\u0947\u0902, 3-\u092e\u0947\u0925\u093f\u0932-\u092a\u0947\u0928\u094d\u091f-2-\u0908\u0928, HBr \u0915\u0947 \u0938\u093e\u0925 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0930\u0928\u0947 \u092a\u0930 \u090f\u0915 \u0938\u0902\u0915\u0932\u0928 \u0909\u0924\u094d\u092a\u093e\u0926 \u092c\u0928\u093e\u0924\u093e \u0939\u0948\u0964 \u0909\u0924\u094d\u092a\u093e\u0926 \u0915\u0947 \u0932\u093f\u090f \u0938\u092e\u094d\u092d\u0935 \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u0938\u092e\u093e\u0935\u092f\u0935\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u094b\u0917\u0940 :",
"options": [
"\u0926\u094b",
"\u091a\u093e\u0930",
"\u091b\u0903",
"\u0936\u0942\u0928\u094d\u092f"
],
"answer": "2",
"original_question_num": "58"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 31,
"question": "\u090f\u0915 \u0935\u094d\u092f\u0915\u094d\u0924\u093f X \u0915\u0947 7 \u092e\u093f\u0924\u094d\u0930 \u0939\u0948\u0902, \u091c\u093f\u0928\u092e\u0947\u0902 4 \u092e\u0939\u093f\u0932\u093e\u090f\u0901 \u0939\u0948\u0902 \u0924\u0925\u093e 3 \u092a\u0941\u0930\u0941\u0937 \u0939\u0948\u0902, \u0909\u0938\u0915\u0940 \u092a\u0924\u094d\u0928\u0940 Y \u0915\u0947 \u092d\u0940 7 \u092e\u093f\u0924\u094d\u0930 \u0939\u0948\u0902, \u091c\u093f\u0928\u092e\u0947\u0902 3 \u092e\u0939\u093f\u0932\u093e\u090f\u0901 \u0924\u0925\u093e 4 \u092a\u0941\u0930\u0941\u0937 \u0939\u0948\u0902\u0964 \u092f\u0939 \u092e\u093e\u0928\u093e \u0917\u092f\u093e \u0915\u093f X \u0924\u0925\u093e Y \u0915\u093e \u0915\u094b\u0908 \u0909\u092a\u0938\u093e\u092e\u093e\u0928\u094d\u092f (common) \u092e\u093f\u0924\u094d\u0930 \u0928\u0939\u0940\u0902 \u0939\u0948\u0964 \u0924\u094b \u0909\u0928 \u0924\u0930\u0940\u0915\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u091c\u093f\u0928\u092e\u0947\u0902 X \u0924\u0925\u093e Y \u090f\u0915 \u0938\u093e\u0925 3 \u092e\u0939\u093f\u0932\u093e\u0913\u0902 \u0924\u0925\u093e 3 \u092a\u0941\u0930\u0941\u0937\u094b\u0902 \u0915\u094b \u092a\u093e\u0930\u094d\u091f\u0940 \u092a\u0930 \u092c\u0941\u0932\u093e\u090f\u0901 \u0915\u093f 3 \u092e\u093f\u0924\u094d\u0930 X \u0924\u0925\u093e Y \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0915\u0947 \u0924\u0940\u0928-\u0924\u0940\u0928 \u092e\u093f\u0924\u094d\u0930 \u0906\u092f\u0947\u0902, \u0939\u0948 :",
"options": [
"468",
"469",
"484",
"485"
],
"answer": "4",
"original_question_num": "66"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 31,
"question": "(21C1 - 10C1) + (21C2 - 10C2) + (21C3 - 10C3) + (21C4 - 10C4) + ..... + (21C10 - 10C10) \u0915\u093e \u092e\u093e\u0928 \u0939\u0948 :",
"options": [
"2^21 - 2^10",
"2^20 - 2^9",
"2^20 - 2^10",
"2^21 - 2^11"
],
"answer": "3",
"original_question_num": "67"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 31,
"question": "\u0915\u093f\u0928\u094d\u0939\u0940\u0902 \u0924\u0940\u0928 \u0927\u0928\u093e\u0924\u094d\u092e\u0915 \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 a, b \u0924\u0925\u093e c \u0915\u0947 \u0932\u093f\u090f 9(25a^2 + b^2) + 25(c^2 - 3ac) = 15b(3a + c) \u0939\u0948, \u0924\u094b :",
"options": [
"b, c \u0924\u0925\u093e a \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u0936\u094d\u0930\u0947\u0923\u0940 \u092e\u0947\u0902 \u0939\u0948\u0902",
"a, b \u0924\u0925\u093e c \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u0936\u094d\u0930\u0947\u0923\u0940 \u092e\u0947\u0902 \u0939\u0948\u0902",
"a, b \u0924\u0925\u093e c \u0917\u0941\u0923\u094b\u0924\u094d\u0924\u0930 \u0936\u094d\u0930\u0947\u0923\u0940 \u092e\u0947\u0902 \u0939\u0948\u0902",
"b, c \u0924\u0925\u093e a \u0917\u0941\u0923\u094b\u0924\u094d\u0924\u0930 \u0936\u094d\u0930\u0947\u0923\u0940 \u092e\u0947\u0902 \u0939\u0948\u0902"
],
"answer": "1",
"original_question_num": "68"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 2,
"question": "\u090f\u0915 \u092e\u0928\u0941\u0937\u094d\u092f, \u090f\u0915 \u0935\u093f\u0936\u093e\u0932\u0915\u093e\u092f \u092e\u093e\u0928\u0935 \u092e\u0947\u0902 \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u093f\u0924 \u0939\u094b\u0924\u093e \u0939\u0948 \u0915\u093f \u0909\u0938\u0915\u0940 \u0930\u0947\u0916\u0940\u092f \u0935\u093f\u092e\u093e\u090f\u0901 9 \u0917\u0941\u0928\u093e \u092c\u0922\u093c \u091c\u093e\u0924\u0940 \u0939\u0948\u0902\u0964 \u092e\u093e\u0928\u094b \u0915\u093f \u0909\u0938\u0915\u0947 \u0918\u0928\u0924\u094d\u0935 \u092e\u0947\u0902 \u0915\u094b\u0908 \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u0928\u0939\u0940\u0902 \u0939\u094b\u0924\u093e \u0939\u0948 \u0924\u094b \u0909\u0938\u0915\u0947 \u091f\u093e\u0901\u0917 \u092e\u0947\u0902 \u092a\u094d\u0930\u0924\u093f\u0932\u0935 \u0915\u093f\u0924\u0928\u0947 \u0917\u0941\u0928\u093e \u0939\u094b \u091c\u093e\u092f\u0947\u0917\u093e?",
"options": [
"9",
"\\(\\frac{1}{9}\\)",
"81",
"\\(\\frac{1}{81}\\)"
],
"answer": "1",
"original_question_num": "1"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 11,
"question": "15 \u03a9 \u0915\u0947 \u0915\u0941\u0923\u094d\u0921\u0932\u0940 \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927 \u0915\u0947 \u0917\u0948\u0932\u094d\u0935\u0947\u0928\u094b\u092e\u0940\u091f\u0930 \u0938\u0947 \u091c\u092c 5 mA \u0915\u0940 \u0927\u093e\u0930\u093e \u092a\u094d\u0930\u0935\u093e\u0939\u093f\u0924 \u0915\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948 \u0924\u094b \u0935\u0939 \u092a\u0942\u0930\u094d\u0923 \u0938\u094d\u0915\u0947\u0932 \u0935\u093f\u091a\u0932\u0928 \u092a\u094d\u0930\u0926\u0930\u094d\u0936\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u0907\u0938\u0947 0-10 V \u092a\u0930\u093e\u0938 \u0915\u0947 \u0935\u094b\u0932\u094d\u091f\u092e\u0940\u091f\u0930 \u092e\u0947\u0902 \u092c\u0926\u0932\u0928\u0947 \u0915\u0947 \u0932\u093f\u092f\u0947 \u0915\u093f\u0938 \u092e\u093e\u0928 \u0915\u0947 \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927 \u0915\u094b \u0917\u0948\u0932\u094d\u0935\u0947\u0928\u094b\u092e\u0940\u091f\u0930 \u0915\u0947 \u0938\u093e\u0925 \u0936\u094d\u0930\u0947\u0923\u0940 \u0915\u094d\u0930\u092e \u092e\u0947\u0902 \u0932\u0917\u093e\u0928\u093e \u0939\u094b\u0917\u093e ?",
"options": [
"1.985 \u00d7 10\u00b3 \u03a9",
"2.045 \u00d7 10\u00b3 \u03a9",
"2.535 \u00d7 10\u00b3 \u03a9",
"4.005 \u00d7 10\u00b3 \u03a9"
],
"answer": "1",
"original_question_num": "19"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 5,
"question": "100 gm \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 \u0935\u093e\u0932\u093e \u0924\u093e\u0901\u092c\u0947 \u0915\u0947 \u090f\u0915 \u0917\u094b\u0932\u0947 \u0915\u093e \u0924\u093e\u092a\u092e\u093e\u0928 T \u0939\u0948\u0964 \u0909\u0938\u0947 \u090f\u0915 170 gm \u092a\u093e\u0928\u0940 \u0938\u0947 \u092d\u0930\u0947 \u0939\u0941\u090f 100 gm \u0915\u0947 \u0924\u093e\u0901\u092c\u0947 \u0915\u0947 \u0915\u0948\u0932\u094b\u0930\u0940\u092e\u0940\u091f\u0930, \u091c\u094b\u0915\u093f \u0915\u092e\u0930\u0947 \u0915\u0947 \u0924\u093e\u092a\u092e\u093e\u0928 \u092a\u0930 \u0939\u0948, \u092e\u0947\u0902 \u0921\u093e\u0932 \u0926\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0924\u0924\u094d\u092a\u0936\u094d\u091a\u093e\u0924\u094d \u0928\u093f\u0915\u093e\u092f \u0915\u093e \u0924\u093e\u092a\u092e\u093e\u0928 75\u00b0C \u092a\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 T \u0915\u093e \u092e\u093e\u0928 \u0939\u094b\u0917\u093e :",
"options": [
"800\u00b0C",
"885\u00b0C",
"1250\u00b0C",
"825\u00b0C"
],
"answer": "2",
"original_question_num": "8"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 36,
"question": "\u090f\u0915 \u0905\u0935\u0924\u0932\u0935\u0932\u092f \u092c\u093f\u0902\u0926\u0941 P(\u221a2, \u221a3) \u0938\u0947 \u0939\u094b\u0915\u0930 \u091c\u093e\u0924\u093e \u0939\u0948, \u0924\u0925\u093e \u0909\u0938\u0915\u0940 \u0928\u093e\u092d\u093f\u092f\u093e\u0901 (\u00b12, 0) \u092a\u0930 \u0939\u0948\u0902, \u0924\u094b \u0905\u0935\u0924\u0932\u0935\u0932\u092f \u0915\u0947 \u092c\u093f\u0902\u0926\u0941 P \u092a\u0930 \u0916\u0940\u0902\u091a\u0940 \u0917\u0908 \u0938\u094d\u092a\u0930\u094d\u0936\u0930\u0947\u0916\u093e \u091c\u093f\u0938 \u092c\u093f\u0902\u0926\u0941 \u0938\u0947 \u0939\u094b\u0915\u0930 \u091c\u093e\u0924\u0940 \u0939\u0948, \u0935\u0939 \u0939\u0948 :",
"options": [
"(2\u221a2, 3\u221a3)",
"(\u221a3, \u221a2)",
"(\u2212\u221a2, \u2212\u221a3)",
"(3\u221a2, 2\u221a3)"
],
"answer": "1",
"original_question_num": "81"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 36,
"question": "\u090f\u0915 \u0938\u092e\u0924\u0932 \u091c\u094b \u092c\u093f\u0902\u0926\u0941 (1, \u22121, \u22121) \u0938\u0947 \u0939\u094b\u0915\u0930 \u091c\u093e\u0924\u093e \u0939\u0948 \u0924\u0925\u093e \u091c\u093f\u0938\u0915\u093e \u0905\u092d\u093f\u0932\u092e\u094d\u092c \u0926\u094b\u0928\u094b\u0902 \u0930\u0947\u0916\u093e\u0913\u0902 x\u22121/1 = y+2/\u22122 = z\u22124/3 \u0924\u0925\u093e x\u22122/2 = y+1/\u22121 = z+7/\u22121 \u092a\u0930 \u0932\u0902\u092c \u0939\u0948, \u0915\u0940 \u092c\u093f\u0902\u0926\u0941 (1, 3, \u22127) \u0938\u0947 \u0926\u0942\u0930\u0940 \u0939\u0948 :",
"options": [
"10/\u221a83",
"5/\u221a83",
"10/\u221a74",
"20/\u221a74"
],
"answer": "1",
"original_question_num": "82"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 36,
"question": "\u092f\u0926\u093f \u092c\u093f\u0902\u0926\u0941 P(1, \u22122, 3) \u0915\u093e \u0938\u092e\u0924\u0932 2x+3y\u22124z+22=0 \u092e\u0947\u0902 \u0935\u0939 \u092a\u094d\u0930\u0924\u093f\u0935\u093f\u0902\u092c \u091c\u094b \u0930\u0947\u0916\u093e x/1 = y/4 = z/5 \u0915\u0947 \u0938\u092e\u093e\u0902\u0924\u0930 \u0939\u0948, Q \u0939\u0948, \u0924\u094b PQ \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"2\u221a42",
"\u221a42",
"6\u221a5",
"3\u221a5"
],
"answer": "1",
"original_question_num": "83"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 20,
"question": "\u0926\u094b \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e\u0913\u0902, R1 \u0924\u0925\u093e R2 \u0915\u0947 \u092a\u0942\u0930\u094d\u0935 \u0918\u093e\u0924\u093e\u0902\u0915\u093f\u0915\u0940 \u0917\u0941\u0923\u0915 \u090f\u0915 \u091c\u0948\u0938\u0947 \u0939\u0948\u0902\u0964 R1 \u0915\u0940 \u0938\u0915\u094d\u0930\u093f\u092f\u0923 \u090a\u0930\u094d\u091c\u093e R2 \u0915\u0947 \u0938\u0915\u094d\u0930\u093f\u092f\u0923 \u090a\u0930\u094d\u091c\u093e \u0938\u0947 10 kJ mol^\u22121 \u091c\u094d\u092f\u093e\u0926\u093e \u0939\u0948\u0964 \u092f\u0926\u093f \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e R1 \u0924\u0925\u093e R2 \u0915\u0947 \u0932\u093f\u090f 300 K \u092a\u0930 \u0926\u0930 \u0928\u093f\u092f\u0924\u093e\u0902\u0915 \u0915\u094d\u0930\u092e\u0936\u0903 k1 \u0924\u0925\u093e k2 \u0939\u094b\u0902 \u0924\u094b ln(k2/k1) \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u093f\u0938\u0915\u0947 \u092c\u0930\u093e\u092c\u0930 \u0939\u094b\u0917\u093e? (R = 8.314 J mol^\u22121K^\u22121)",
"options": [
"6",
"4",
"8",
"12"
],
"answer": "2",
"original_question_num": "39"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 20,
"question": "\u090f\u0915 \u0926\u0941\u0930\u094d\u092c\u0932 \u0905\u092e\u094d\u0932 (HA) \u0915\u093e pKa \u0924\u0925\u093e \u090f\u0915 \u0926\u0941\u0930\u094d\u092c\u0932 \u0915\u094d\u0937\u093e\u0930\u0915 (BOH) \u0915\u093e pKb \u0915\u094d\u0930\u092e\u0936\u0903 3.2 \u0924\u0925\u093e 3.4 \u0939\u0948\u0902\u0964 \u0909\u0928\u0915\u0947 \u0932\u0935\u0923 (AB) \u0915\u0947 \u0935\u093f\u0932\u092f\u0928 \u0915\u093e pH \u0939\u094b\u0917\u093e :",
"options": [
"7.0",
"1.0",
"7.2",
"6.9"
],
"answer": "4",
"original_question_num": "40"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 20,
"question": "\u0935\u093f\u0915\u0930\u094d\u0923 \u0938\u092e\u094d\u092c\u0928\u094d\u0927 \u0915\u0947 \u0915\u093e\u0930\u0923, \u0932\u093f\u0925\u093f\u092f\u092e \u0924\u0925\u093e \u092e\u0948\u0917\u094d\u0928\u0940\u0936\u093f\u092f\u092e \u0926\u094b\u0928\u094b\u0902 \u0915\u0908 \u090f\u0915 \u091c\u0948\u0938\u0947 \u0917\u0941\u0923 \u092a\u094d\u0930\u0926\u0930\u094d\u0936\u093f\u0924 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902 \u092b\u093f\u0930 \u092d\u0940, \u0935\u0939 \u090f\u0915 \u091c\u094b \u0917\u0932\u0924 \u0939\u0948, \u0939\u0948 :",
"options": [
"\u0926\u094b\u0928\u094b\u0902 \u0928\u093e\u0907\u091f\u094d\u0930\u093e\u0907\u0921 \u092c\u0928\u093e\u0924\u0947 \u0939\u0948\u0902",
"\u0932\u093f\u0925\u093f\u092f\u092e \u0924\u0925\u093e \u092e\u0948\u0917\u094d\u0928\u0940\u0936\u093f\u092f\u092e, \u0926\u094b\u0928\u094b\u0902 \u0915\u0947 \u0939\u0940 \u0928\u093e\u0907\u091f\u094d\u0930\u0947\u091f \u0917\u0930\u092e \u0915\u0930\u0928\u0947 \u092a\u0930 NO2 \u0924\u0925\u093e O2 \u0926\u0947\u0924\u0947 \u0939\u0948\u0902",
"\u0926\u094b\u0928\u094b\u0902 \u0915\u094d\u0937\u093e\u0930\u0940\u092f \u0915\u093e\u0930\u094d\u092c\u094b\u0928\u0947\u091f \u092c\u0928\u093e\u0924\u0947 \u0939\u0948\u0902",
"\u0926\u094b\u0928\u094b\u0902 \u0918\u0941\u0932\u0928\u0936\u0940\u0932 \u092c\u093e\u0907\u0915\u093e\u0930\u094d\u092c\u094b\u0928\u0947\u091f \u092c\u0928\u093e\u0924\u0947 \u0939\u0948\u0902"
],
"answer": "3",
"original_question_num": "41"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 9,
"question": "\u090f\u0915 \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u092a\u0930\u093f\u092a\u0925 \u092e\u0947\u0902 \u090f\u0915 2 \u03bcF \u0927\u093e\u0930\u093f\u0924\u093e \u0915\u0947 \u0938\u0902\u0927\u093e\u0930\u093f\u0924\u094d\u0930 \u0915\u094b 1.0 kV \u0935\u093f\u092d\u0935\u093e\u0928\u094d\u0924\u0930 \u0915\u0947 \u092c\u093f\u0928\u094d\u0926\u0941\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0932\u0917\u093e\u0928\u093e \u0939\u0948\u0964 1 \u03bcF \u0927\u093e\u0930\u093f\u0924\u093e \u0915\u0947 \u092c\u0939\u0941\u0924 \u0938\u093e\u0930\u0947 \u0938\u0902\u0927\u093e\u0930\u093f\u0924\u094d\u0930 \u091c\u094b \u0915\u093f 300 V \u0935\u093f\u092d\u0935\u093e\u0928\u094d\u0924\u0930 \u0924\u0915 \u0935\u0939\u0928 \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902, \u0909\u092a\u0932\u092c\u094d\u0927 \u0939\u0948\u0902\u0964",
"options": [
"2",
"16",
"24",
"32"
],
"answer": "4",
"original_question_num": "15"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 16,
"question": "\u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928 \u0938\u093e \u0915\u0925\u0928 \u0917\u0932\u0924 \u0939\u0948 ?",
"options": [
"\u0935\u094d\u0939\u0940\u091f\u0938\u094d\u091f\u094b\u0928 \u0938\u0947\u0924\u0941 \u0915\u0940 \u0938\u0941\u0938\u094d\u092a\u0937\u094d\u091f\u0924\u093e \u0938\u092c\u0938\u0947 \u0905\u0927\u093f\u0915 \u0924\u092c \u0939\u094b\u0924\u0940 \u0939\u0948 \u091c\u092c \u091a\u093e\u0930\u094b\u0902 \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927\u094b\u0902 \u0915\u093e \u092a\u0930\u093f\u092e\u093e\u0923 \u0924\u0941\u0932\u094d\u092f \u0939\u094b\u0924\u093e \u0939\u0948\u0964",
"\u090f\u0915 \u0938\u0902\u0924\u0941\u0932\u093f\u0924 \u0935\u094d\u0939\u0940\u091f\u0938\u094d\u091f\u094b\u0928 \u0938\u0947\u0924\u0941 \u092e\u0947\u0902, \u0938\u0947\u0932 \u090f\u0935\u0902 \u0917\u0948\u0932\u094d\u0935\u0947\u0928\u094b\u092e\u0940\u091f\u0930 \u0915\u094b \u0906\u092a\u0938 \u092e\u0947\u0902 \u092c\u0926\u0932\u0928\u0947 \u092a\u0930 \u0936\u0942\u0928\u094d\u092f \u092c\u093f\u0902\u0926\u0941 \u092a\u094d\u0930\u092d\u093e\u0935\u093f\u0924 \u0939\u094b\u0924\u093e \u0939\u0948\u0964",
"\u090f\u0915 \u0927\u093e\u0930\u093e \u0928\u093f\u092f\u0902\u0924\u094d\u0930\u0915 \u0915\u094b \u0935\u093f\u092d\u0935 \u0935\u093f\u092d\u093e\u091c\u0915 \u0915\u0940 \u0924\u0930\u0939 \u0909\u092a\u092f\u094b\u0917 \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964",
"\u0915\u093f\u0930\u094d\u091a\u0949\u092b \u0915\u093e \u0926\u094d\u0935\u093f\u0924\u0940\u092f \u0928\u093f\u092f\u092e \u090a\u0930\u094d\u091c\u093e \u0915\u0947 \u0938\u0902\u0930\u0915\u094d\u0937\u0923 \u0915\u094b \u0926\u0930\u094d\u0936\u093e\u0924\u093e \u0939\u0948\u0964"
],
"answer": "2",
"original_question_num": "29"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 16,
"question": "\u0928\u093f\u092e\u094d\u0928 \u092a\u094d\u0930\u0947\u0915\u094d\u0937\u0923\u094b\u0902 \u0915\u094b \u0915\u0947\u0936\u093f\u0915\u0940\u092f \u0935\u093f\u0927\u093f \u0938\u0947 \u092a\u093e\u0928\u0940 \u0915\u093e \u092a\u0943\u0937\u094d\u0920 \u0924\u0928\u093e\u0935 T \u0928\u093e\u092a\u0928\u0947 \u0915\u0947 \u0932\u093f\u092f\u0947 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964",
"options": [
"0.15%",
"1.5%",
"2.4%",
"10%"
],
"answer": "2",
"original_question_num": "30"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 17,
"question": "\u0926\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948,\nC(graphite) + O2(g) \u2192 CO2(g) ; \u0394H\u00b0 = -393.5 kJ mol\u207b\u00b9\nH2(g) + 1/2 O2(g) \u2192 H2O(l) ; \u0394H\u00b0 = -285.8 kJ mol\u207b\u00b9\nCO2(g) + 2H2O(l) \u2192 CH4(g) + 2O2(g) ; \u0394H\u00b0 = +890.3 kJ mol\u207b\u00b9\n\u090a\u092a\u0930 \u0926\u093f\u092f\u0947 \u0917\u092f\u0947 \u0909\u0937\u094d\u092e\u093e\u0930\u0938\u093e\u092f\u0928\u093f\u0915 \u0938\u092e\u0940\u0915\u0930\u0923\u094b\u0902 \u0915\u0947 \u0906\u0927\u093e\u0930 \u092a\u0930 298 K \u092a\u0930 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e\nC(graphite) + 2H2(g) \u2192 CH4(g)\n\u0915\u0947 \u0394H\u00b0 \u0915\u093e \u092e\u093e\u0928 \u0939\u094b\u0917\u093e :",
"options": [
"-74.8 kJ mol\u207b\u00b9",
"-144.0 kJ mol\u207b\u00b9",
"+74.8 kJ mol\u207b\u00b9",
"+144.0 kJ mol\u207b\u00b9"
],
"answer": "1",
"original_question_num": "31"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 17,
"question": "\u090f\u0915 \u0915\u093e\u0930\u094d\u092c\u094b\u0928\u0947\u091f (M2CO3) \u0915\u0947 1 \u0917\u094d\u0930\u093e\u092e \u0915\u094b HCl \u0915\u0947 \u0905\u0924\u093f\u0930\u0947\u0915\u094d\u092f \u092e\u0947\u0902 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u092e\u0947\u0902 \u0921\u093e\u0932\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0914\u0930 \u0909\u0938\u0938\u0947 0.01186 \u092e\u094b\u0932 CO2 \u092a\u0948\u0926\u093e \u0939\u094b\u0924\u0940 \u0939\u0948\u0964 M2CO3 \u0915\u093e \u092e\u094b\u0932\u0930 \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 g mol\u207b\u00b9 \u092e\u0947\u0902 \u0939\u0948 :",
"options": [
"118.6",
"11.86",
"1186",
"84.3"
],
"answer": "4",
"original_question_num": "32"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 17,
"question": "\u0394U \u091c\u093f\u0938\u0915\u0947 \u092c\u0930\u093e\u092c\u0930 \u0939\u0948, \u0935\u0939 \u0939\u0948 :",
"options": [
"\u0930\u0942\u0927\u094d\u0930\u0935 \u0915\u093e\u0930\u094d\u092f",
"\u0938\u092e\u093e\u0935\u094d\u092f \u0915\u093e\u0930\u094d\u092f",
"\u0938\u092e-\u0906\u092f\u0924\u0928\u093f\u0915 \u0915\u093e\u0930\u094d\u092f",
"\u0938\u092e\u0926\u093e\u092c \u0915\u093e\u0930\u094d\u092f"
],
"answer": "1",
"original_question_num": "33"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 8,
"question": "\u090f\u0915 \u092a\u094d\u0930\u0947\u0915\u094d\u0937\u0915 \u092a\u094d\u0930\u0915\u093e\u0936 \u0917\u0924\u093f \u0915\u0940 \u0906\u0927\u0940 \u0917\u0924\u093f \u0938\u0947 10 GHz \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u0915\u0947 \u090f\u0915 \u0938\u094d\u0925\u093f\u0930 \u0938\u0942\u0915\u094d\u0937\u094d\u092e \u0924\u0930\u0902\u0917 (microwave) \u0938\u094d\u0930\u094b\u0924 \u0915\u0940 \u0924\u0930\u092b \u091c\u093e \u0930\u0939\u093e \u0939\u0948\u0964 \u092a\u094d\u0930\u0947\u0915\u094d\u0937\u0915 \u0926\u094d\u0935\u093e\u0930\u093e \u092e\u093e\u092a\u0940 \u0917\u092f\u0940 \u0938\u0942\u0915\u094d\u0937\u094d\u092e \u0924\u0930\u0902\u0917 \u0915\u0940 \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u0915\u093e \u092e\u093e\u0928 \u0939\u094b\u0917\u093e ? (\u092a\u094d\u0930\u0915\u093e\u0936 \u0915\u0940 \u091a\u093e\u0932 = 3 \u00d7 10^8 ms^\u22121)",
"options": [
"10.1 GHz",
"12.1 GHz",
"17.3 GHz",
"15.3 GHz"
],
"answer": "3",
"original_question_num": "13"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 8,
"question": "\u090f\u0915 \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0926\u094d\u0935\u093f\u0927\u094d\u0930\u0941\u0935 \u0915\u093e \u0938\u094d\u0925\u093f\u0930 \u0926\u094d\u0935\u093f\u0927\u094d\u0930\u0941\u0935 \u0906\u0918\u0942\u0930\u094d\u0923 p \u0939\u0948 \u091c\u094b \u0915\u093f x-\u0905\u0915\u094d\u0937 \u0938\u0947 \u03b8 \u0915\u094b\u0923 \u092c\u0928\u093e\u0924\u093e \u0939\u0948\u0964 \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 E1 = E \u00ee \u092e\u0947\u0902 \u0930\u0916\u0928\u0947 \u092a\u0930 \u092f\u0939 \u092c\u0932 \u0906\u0918\u0942\u0930\u094d\u0923 T1 = \u03c4 k \u0915\u093e \u0905\u0928\u0941\u092d\u0935 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 E2 = \u221a3 E1 j \u092e\u0947\u0902 \u0930\u0916\u0928\u0947 \u092a\u0930 \u092f\u0939 \u092c\u0932 \u0906\u0918\u0942\u0930\u094d\u0923 T2 = \u2212 T1 \u0915\u093e \u0905\u0928\u0941\u092d\u0935 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u0915\u094b\u0923 \u03b8 \u0915\u093e \u092e\u093e\u0928 \u0939\u094b\u0917\u093e :",
"options": [
"30\u00b0",
"45\u00b0",
"60\u00b0",
"90\u00b0"
],
"answer": "3",
"original_question_num": "14"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 21,
"question": "\u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928 \u0938\u0940 \u092a\u094d\u0930\u091c\u093e\u0924\u093f \u0905\u0928\u0941\u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u0928\u0939\u0940\u0902 \u0939\u0948 ?",
"options": [
"O\u2082",
"B\u2082",
"NO",
"CO"
],
"answer": "4",
"original_question_num": "42"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 21,
"question": "\u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928 \u0938\u0940 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0905\u092a\u091a\u092f\u094b\u092a\u091a\u092f (\u0930\u0947\u0921\u0949\u0915\u094d\u0938) \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u093e \u0909\u0926\u093e\u0939\u0930\u0923 \u0939\u0948 ?",
"options": [
"XeF\u2086 + H\u2082O \u2192 XeOF\u2084 + 2HF",
"XeF\u2086 + 2H\u2082O \u2192 XeO\u2082F\u2082 + 4HF",
"XeF\u2084 + O\u2082F\u2082 \u2192 XeF\u2086 + O\u2082",
"XeF\u2082 + PF\u2085 \u2192 [XeF]\u207a PF\u2086\u207b"
],
"answer": "3",
"original_question_num": "43"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 21,
"question": "\u090f\u0915 \u091c\u0932 \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u092e\u0947\u0902 \u092a\u0940.\u092a\u0940.\u090f\u092e. (ppm) \u0938\u094d\u0924\u0930 \u0915\u0940 \u0928\u093f\u092e\u094d\u0928 \u090b\u0923\u093e\u092f\u0928\u094b\u0902 \u0915\u0940 \u0938\u093e\u0902\u0926\u094d\u0930\u0924\u093e \u0939\u0948\u0964
F\u207b = 10; SO\u2084\u00b2\u207b = 100; NO\u2083\u207b = 50
\u0935\u0939/\u0935\u0947 \u090b\u0923\u093e\u092f\u0928 \u091c\u094b \u091c\u0932 \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0915\u094b \u092a\u0940\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0905\u0928\u0941\u092a\u092f\u0941\u0915\u094d\u0924 \u092c\u0928\u093e\u0924\u0947 \u0939\u0948\u0902/\u092c\u0928\u093e\u0924\u0947 \u0939\u0948\u0902, \u0939\u0948/\u0939\u0948\u0902 :",
"options": [
"\u092e\u093e\u0924\u094d\u0930 F\u207b",
"\u092e\u093e\u0924\u094d\u0930 SO\u2084\u00b2\u207b",
"\u092e\u093e\u0924\u094d\u0930 NO\u2083\u207b",
"SO\u2084\u00b2\u207b \u0924\u0925\u093e NO\u2083\u207b \u0926\u094b\u0928\u094b\u0902"
],
"answer": "1",
"original_question_num": "44"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
"page_num": 21,
"question": "\u0935\u0939 \u0938\u092e\u0942\u0939 \u091c\u093f\u0938\u0938\u0947 \u0938\u092e\u0938\u092e\u0935\u0947\u0924\u093e\u0935\u0948\u0926\u094d\u092f\u0941\u0924\u093f\u0915 \u092a\u094d\u0930\u091c\u093e\u0924\u093f\u092f\u093e\u0901 \u0939\u0948\u0902, \u0939\u0948 :",
"options": [
"O\u00b2\u207b, F\u207b, Na, Mg\u00b2\u207a",
"O\u207b, F\u207b, Na\u207a, Mg\u00b2\u207a",
"O\u00b2\u207b, F\u207b, Na\u207a, Mg\u00b2\u207a",
"O\u207b, F\u207b, Na, Mg\u207a"
],
"answer": "3",
"original_question_num": "45"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 37,
"question": "\u092e\u093e\u0928\u093e \\( \\vec{a} = 2\\hat{i} + \\hat{j} - 2\\hat{k} \\) \u0924\u0925\u093e \\( \\vec{b} = \\hat{i} + \\hat{j} \\) \u0939\u0948\u0964 \u092e\u093e\u0928\u093e \\( \\vec{c} \\) \u090f\u0915 \u0910\u0938\u093e \u0938\u0926\u093f\u0936 \u0939\u0948 \u0915\u093f \\( |\\vec{c} - \\vec{a}| = 3 \\), \\( |(\\vec{a} \\times \\vec{b}) \\times \\vec{c}| = 3 \\) \u0924\u0925\u093e \\( \\vec{c} \\) \u0914\u0930 \\( \\vec{a} \\times \\vec{b} \\) \u0915\u0947 \u092c\u0940\u091a \u0915\u093e \u0915\u094b\u0923 \\( 30^\\circ \\) \u0939\u0948, \u0924\u094b \\( \\vec{a} \\cdot \\vec{c} \\) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"2",
"5",
"\\( \\frac{1}{8} \\)",
"\\( \\frac{25}{8} \\)"
],
"answer": "1",
"original_question_num": "84"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
"page_num": 37,
"question": "\u090f\u0915 \u092c\u0915\u094d\u0938\u0947 \u092e\u0947\u0902 15 \u0939\u0930\u0940 \u0924\u0925\u093e 10 \u092a\u0940\u0932\u0940 \u0917\u0947\u0902\u0926\u0947\u0902 \u0939\u0948\u0902\u0964 \u092f\u0926\u093f \u090f\u0915-\u090f\u0915 \u0915\u0930\u0915\u0947 \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u092f\u093e, \u092a\u094d\u0930\u0924\u093f\u0938\u094d\u0925\u093e\u092a\u0928 \u0938\u0939\u093f\u0924, 10 \u0917\u0947\u0902\u0926\u0947\u0902 \u0928\u093f\u0915\u093e\u0932\u0940 \u091c\u093e\u090f\u0901, \u0924\u094b \u0939\u0930\u0940 \u0917\u0947\u0902\u0926\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u093e \u092a\u094d\u0930\u0938\u0930\u0923 \u0939\u0948 :",
"options": [
"6",
"4",
"\\( \\frac{6}{25} \\)",
"\\( \\frac{12}{5} \\)"
],
"answer": "4",
"original_question_num": "85"
},
{
"language": "hi",
"country": "India",
"file_name": "2017-Set-A",
"source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper",
"license": "unknown",
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
"page_num": 4,
"question": "\u090f\u0915 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e R \u0924\u0925\u093e \u0932\u092e\u094d\u092c\u093e\u0908 l \u0915\u0947 \u090f\u0915 \u0938\u092e\u093e\u0928 \u092c\u0947\u0932\u0928 \u0915\u093e \u0909\u0938\u0915\u0947 \u0905\u092d\u093f\u0932\u092e\u094d\u092c \u0926\u094d\u0935\u093f\u092d\u093e\u091c\u0915 \u0915\u0947 \u0938\u093e\u092a\u0947\u0915\u094d\u0937 \u091c\u0921\u093c\u0924\u094d\u0935 \u0906\u0918\u0942\u0930\u094d\u0923 I \u0939\u0948\u0964 \u091c\u0921\u093c\u0924\u094d\u0935 \u0906\u0918\u0942\u0930\u094d\u0923 \u0915\u0947 \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u092e\u093e\u0928 \u0915\u0947 \u0932\u093f\u090f \u0905\u0928\u0941\u092a\u093e\u0924 l/R \u0915\u094d\u092f\u093e \u0939\u094b\u0917\u093e ?",
"options": [
"\\(\\frac{\\sqrt{3}}{2}\\)",
"\\(\\frac{\\sqrt{3}}{2}\\)",
"1",
"\\(\\frac{3}{\\sqrt{2}}\\)"
],
"answer": "1",
"original_question_num": "5"
}
]