id
stringlengths 6
20
| source
stringclasses 6
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stringlengths 11
5.18k
| input
stringlengths 0
306
| output
stringlengths 1
308
| rationale
stringlengths 0
2.9k
| subject
stringclasses 39
values | category
stringclasses 7
values |
|---|---|---|---|---|---|---|---|
allenai/sciq_2600
|
allenai/sciq
|
What do we call water that has been used for cleaning, washing, flushing, or manufacturing?
A. groundwater
B. Grey water
C. wastewater
D. sewage
|
C. wastewater
|
Fresh water is also preserved by purifying wastewater. Wastewater is water that has been used for cleaning, washing, flushing, or manufacturing. It includes the water that goes down your shower drain and that is flushed down your toilet. Instead of dumping wastewater directly into rivers, wastewater can be purified at a water treatment plant ( Figure below ). When wastewater is recycled, waterborne diseases caused by pathogens in sewage can be prevented. What are some ways you can save water in your own house?.
|
high_school_biology
|
biology
|
|
math_1048
|
math_mc
|
Centered at each lattice point in the coordinate plane are a circle radius $\frac{1}{10}$ and a square with sides of length $\frac{1}{5}$ whose sides are parallel to the coordinate axes. The line segment from $(0,0)$ to $(1001, 429)$ intersects $m$ of the squares and $n$ of the circles. Find $m + n$.
|
C
|
math_Geometry
|
mathematics
|
||
mmlu_aux_train_92751
|
mmlu_aux_train
|
The atoms that make up oxygen gas
A. share two covalent bonds.
B. have a definite shape.
C. share a pair of neutrons.
D. have two free electrons.
|
A. share two covalent bonds.
|
high_school_chemistry
|
chemistry
|
||
pythonio_761
|
pythonio-mc
|
Program:
def find_longest_conseq_subseq(arr, n):
ans = 0
count = 0
arr.sort()
v = []
v.append(arr[0])
for i in range(1, n):
if (arr[i] != arr[i - 1]):
v.append(arr[i])
for i in range(len(v)):
if (i > 0 and v[i] == v[i - 1] + 1):
count += 1
else:
count = 1
ans = max(ans, count)
return ans
Input:
find_longest_conseq_subseq([1, 2, 2, 3], 4)
Output:
|
C
|
code
|
computer_science
|
||
mmlu_aux_train_6519
|
mmlu_aux_train
|
Computers have many uses today. Computers can solve difficult problems and control other machines. Many people use small computers called calculators to solve simple maths problems quickly. Scientists use large computers to solve many problems at the same time. You can play games with computers, and some computers can help you learn languages. The Kurzweil Reading Machine is a special kind of computer. It can read books for blind people. To use the Kurzweil machine, a blind person can simply open the book and put it down on the scanner . The machine "reads" the words on the page. When one page is finished, the blind person turns the page and puts the book on the scanner again. The Kurzweil machine can read in a normal voice or in a special fast voice. _ can read words with small letters and large letters. Blind people like the Kurzweil machine because they can "read" anything with it: newspapers, magazines, books, even typed letters. Many libraries now have Kurzweil Machine for blind people to use. The Kurzweil machine can also help short-sighted children learn to read. Which of the following is TRUE?
A. Computers can solve all the problems people can't do.
B. Large computers can only solve one problem at a time.
C. When using the Kurzweil machine, a blind man needn't do anything.
D. The Kurzweil machine can help blind people and short-sighted children.
|
D. The Kurzweil machine can help blind people and short-sighted children.
|
high_school_computer_science
|
computer_science
|
||
mmlu_aux_train_10174
|
mmlu_aux_train
|
Dear friends, ladies and gentlemen, It's my honor to attend this conference. I hope to tell you, with my own experience, how I benefit from the rapidly developing information technology. I injured my neck and became disabled in a diving accident in May 1997. I was desperate then and even thought of killing myself. During that time, however, I met Ms. Yatani, a Japanese specialist, who was carrying out a teaching task there. She encouraged me and gave me an English copy of JONI before she returned to Japan. The book is the autobiography of Ms. Joni Earckson. Her experience was similar to mine. She injured her neck and became disabled in a diving accident in 1967. With a strong will, she tried very hard. Finally, she became a famous artist. From her story I found enlightenment and felt hopeful. My doctor, Dr. Guan, saw me reading the book. He suggested that I translate it into Chinese in order to benefit more disabled people in China. I agreed, and in one and a half months the translation was finished. Then I contacted Joni through the Internet for the copyright. It was then that I saw how useful modern information technology can be. Highly developed information technology brings me hope and makes my dreams come true. I am really lucky to live in the Age of Information. I could not imagine what my life would be like without it. It makes my life color1ful and more meaningful. I would like to give special thanks to Dr. Guan, and thanks to all of my friends who love and care for me. It is their love and efforts that helped to make my dreams come true. I hope to send my love and thanks to everyone in the world through the Internet. Thanks again! What is the speech mainly about?
A. How the speaker translated a book.
B. How the speaker was injured in an accident.
C. How the speaker benefited from hi-tech.
D. How the speaker got over the injury.
|
C. How the speaker benefited from hi-tech.
|
high_school_computer_science
|
computer_science
|
||
allenai/sciq_1214
|
allenai/sciq
|
Are valence electrons attracted more or less strongly when they are farther from the nucleus?
A. less strongly
B. differently
C. equally
D. more strongly
|
A. less strongly
|
The reactivity of alkaline Earth metals increases from the top to the bottom of the group. That’s because the atoms get bigger from the top to the bottom, so the valence electrons are farther from the nucleus. When valence electrons are farther from the nucleus, they are attracted less strongly by the nucleus and more easily removed from the atom. This makes the atom more reactive.
|
high_school_chemistry
|
chemistry
|
|
allenai/sciq_844
|
allenai/sciq
|
Fog disappears when the water droplets change back to what?
A. ice vapor
B. solid vapor
C. water vapor
D. cold vapor
|
C. water vapor
|
The water droplets of fog form from water vapor in the air. Fog disappears when the water droplets change back to water vapor. These changes are examples of changes of state. A change of state occurs whenever matter changes from one state to another. Common states of matter on Earth are solid, liquid, and gas. Matter may change back and forth between any two of these states.
|
high_school_physics
|
physics
|
|
aquarat_65771
|
deepmind/aqua_rat
|
A group of Students take a test:
Two people scored 45
Two people scored 50
Then every other persons scores were 40,60,70,75,95,100
Which score that is greater than the median but less than the mean?
|
A. 40 B. 50 C. 60 D. 70 E. 75
|
C. 60
|
List in order: 40,45,45,50,50,60,70,75,95,100
The median = (the average of two middle terms) = (50 + 60)/2 = 55.
The mean = (the sum)/(# of terms) = 630/10 = 63.
The score of 60 is between 55 and 63.
Answer: C.
|
high_school_statistics
|
mathematics
|
math_372
|
math_mc
|
The complete graph of $y=f(x)$, which consists of five line segments, is shown in red below. (On this graph, the distance between grid lines is $1$.)
What is the sum of the $x$-coordinates of all points where $f(x) = x+1$?
|
A
|
math_Algebra
|
mathematics
|
||
mmlu_aux_train_98193
|
mmlu_aux_train
|
This is likely to be an insulator
A. a flip flop
B. a can
C. water
D. a car
|
A. a flip flop
|
electrical_engineering
|
engineering
|
||
aquarat_70122
|
deepmind/aqua_rat
|
Let f(x) = 3x2+2x+6. Two distinct lines l1 and l2 exist that are tangent to f(x) and intersect
at the origin. Given that l1 is tangent to f(x) at (x1; f(x1)) and that l2 is tangent to f(x) at
(x2; f(x2)), compute x1x2.
|
A. -1 B. -2 C. -3 D. -4 E. -5
|
B. -2
|
At any point (x0, y0) in f(x), the slope of the tangent line is
m = 6x0 + 2
Hence, the equation of the tangent line is given by
(y - y0) = m(x- x0)
y - (3x2
0 + 2x0 + 6) = (6x0 + 2)(x - x0)
y = (6x0 + 2)x - 6x2
0- 2x0 + 3x2
0 + 2x0 + 6
y = (6x0 + 2)x- 3x2
0 + 6
For the tangent line to cross the origin, we must have 3x2
0 - 6 = 0. This equation has two
solutions, the product of which is given by 6
3 = -2 .
correct answer B
|
college_mathematics
|
mathematics
|
pythonio_277
|
pythonio-mc
|
Program:
def largest_subset(a, n):
dp = [0 for i in range(n)]
dp[n - 1] = 1;
for i in range(n - 2, -1, -1):
mxm = 0;
for j in range(i + 1, n):
if a[j] % a[i] == 0 or a[i] % a[j] == 0:
mxm = max(mxm, dp[j])
dp[i] = 1 + mxm
return max(dp)
Input:
largest_subset([10, 5, 3, 15, 20], 5)
Output:
|
B
|
code
|
computer_science
|
||
aquarat_3921
|
deepmind/aqua_rat
|
Find the one which does not belong to that group?
|
A. 16 B. 36 C. 27 D. 64 E. 4
|
C. 27
|
Explanation:
16, 36, 64 and 4 are perfect squares but not 27.
Answer:C
|
formal_logic
|
mathematics
|
math_1102
|
math_mc
|
In convex quadrilateral $ABCD, \angle A \cong \angle C, AB = CD = 180,$ and $AD \neq BC.$ The perimeter of $ABCD$ is $640$. Find $\lfloor 1000 \cos A \rfloor.$ (The notation $\lfloor x \rfloor$ means the greatest integer that is less than or equal to $x.$)
|
C
|
math_Geometry
|
mathematics
|
||
mmlu_aux_train_1730
|
mmlu_aux_train
|
On Earth, water can be a solid, a liquid, or a gas. Which energy source has the greatest influence on the state of matter of water?
A. the sun
B. the wind
C. ocean currents
D. the metal core
|
A. the sun
|
earth_science
|
earth_science
|
||
allenai/sciq_1
|
allenai/sciq
|
What phenomenon makes global winds blow northeast to southwest or the reverse in the northern hemisphere and northwest to southeast or the reverse in the southern hemisphere?
A. muon effect
B. tropical effect
C. centrifugal effect
D. coriolis effect
|
D. coriolis effect
|
Without Coriolis Effect the global winds would blow north to south or south to north. But Coriolis makes them blow northeast to southwest or the reverse in the Northern Hemisphere. The winds blow northwest to southeast or the reverse in the southern hemisphere.
|
earth_science
|
earth_science
|
|
mmlu_aux_train_25974
|
mmlu_aux_train
|
It's not a new phenomenon, but have you noticed how many nouns are being used as verbs? We all use them, often without noticing what we're doing. I was arranging to meet someone for dinner last week, and I said "I'll pencil it in my diary", and my friend said "You can ink it in", meaning that it was a firm arrangement not a tentative one! Many of these new verbs are linked to new technology. An obvious example is the word fax. We all got used to sending and receiving faxes, and then soon started talking about faxing something and promising we'd fax it immediately. Then along came email, and we were soon all emailing each other madly. How did we do without it? I can hardly imagine life without my daily emails. Email reminds me, of course, of my computer and its software, which has produced another couple of new verbs. On my computer I can bookmark those pages from the World Wide Web that I think I'll want to look at again, thus saving all the effort of remembering their addresses and calling them up from scratch. I can do the same thing on my PC, but there I don't bookmark; I favorite--coming from "favorite pages", so the verb is derived from an adjective not a noun. Now my children bought me a mobile phone, known simply as a mobile and I had to learn yet more new verbs. I can message someone, that is, I can leave a message for them on their phone. Or I can text them, write a few words suggesting when and where to meet, for example. How long will it be before I can mobile them, that is, phone them using my mobile? I haven't heard that verb yet, but I'm sure I will soon. Perhaps I'll start using it myself! A website address can be easily found if it has been _ .
A. emailed
B. messaged
C. favorited
D. texted
|
C. favorited
|
high_school_computer_science
|
computer_science
|
||
math_651
|
math_mc
|
Suppose that 7 boys and 13 girls line up in a row. Let $S$ be the number of places in the row where a boy and a girl are standing next to each other. For example, for the row $\text{GBBGGGBGBGGGBGBGGBGG}$ we have that $S=12$. The average value of $S$ (if all possible orders of these 20 people are considered) is closest to
$\text{(A)}\ 9\qquad\text{(B)}\ 10\qquad\text{(C)}\ 11\qquad\text{(D)}\ 12\qquad\text{(E)}\ 13$
|
A
|
math_Counting & Probability
|
mathematics
|
||
aquarat_55275
|
deepmind/aqua_rat
|
Pointing to a person, a man said to a woman, "His mother is the only daughter of your father." How was the woman related to the person ?
|
A. Aunt B. DAUGHTER C. father D. mother E. sister
|
A. Aunt
|
Explanation:
Daughter of your father — Your sister. So, the person's mother is woman's sister or the woman is person's aunt.
Answer: A) Aunt
|
formal_logic
|
mathematics
|
mmlu_aux_train_89698
|
mmlu_aux_train
|
Many people have talked about whether or not computing machines can think. Can they or can't they? Almost certainly, a machine can do any work in thinking that a person can do--if the correct way for doing the thinking work can be told exactly. Besides, many programs have been made to direct machines so that they work in very clever ways. Machines have been taught to play chess and to learn from what happens in the games so as to make their play better and better. Machines can beat many persons who play chess. Machines can translate from one language to another. They can prove statements in geometry as taught in school. Machines can notice printed marks on paper, so that a person is no longer needed to look at the marks. Computers can be used in many ways, such as business, science, industry, and government. _ If people cannot tell exactly the correct way to do certain work in thinking, it is still a question how much of _ a machine can do. Suppose a person is "teaching" the machine and telling the machine "yes" when the machine is right, and "no" when the machine is wrong. Then the machine can keep on searching among possible ways for solving a problem--until the machine can do as well as the person, and perhaps much better. But, what is thinking? People can agree about much that is thinking, and much that is not thinking; but they can't reach agreement because the word "think" is not a scientific word with an exact meaning. A lot of the discussion is wasted breath because the persons are using different meanings of the word "think". People, however, have only had experience with machines that appear to think since 1944. It would be too early to say that after the next 200 years, machines will not be thinking. And to consider that machines can think gives people a big push to give to machines more and more work in thinking. What does the writer want to say in the passage?
A. A machine will do any work in thinking like a human being.
B. A machine can do better translation than human beings.
C. A machine won't be able to beat every chess player.
D. A machine will be able to make plan programs.
|
A. A machine will do any work in thinking like a human being.
|
college_computer_science
|
computer_science
|
||
mmlu_aux_train_93447
|
mmlu_aux_train
|
More sulfur dioxide is being added to the atmosphere. How will this most likely affect the hydrosphere?
A. There will be a decrease in sea level.
B. The acidity of the ocean will increase.
C. There will be an increase in fresh water.
D. The temperature of the oceans will decline.
|
B. The acidity of the ocean will increase.
|
high_school_chemistry
|
chemistry
|
||
mmlu_aux_train_99149
|
mmlu_aux_train
|
Which is true?
A. hot coffee will stay hot forever
B. hot coffee is cold
C. hot coffee can injure due to its temperature
D. hot coffee prevents getting hot enough to burn
|
C. hot coffee can injure due to its temperature
|
conceptual_physics
|
physics
|
||
allenai/sciq_1729
|
allenai/sciq
|
What crystals consist of molecules at the lattice points of the crystal, held together by relatively weak intermolecular forces?
A. healing crystals
B. quartz crystals
C. salt crystals
D. molecular crystals
|
D. molecular crystals
|
4. Molecular crystals -- Molecular crystals typically consist of molecules at the lattice points of the crystal, held together by relatively weak intermolecular forces (see Figure below ). The intermolecular forces may be dispersion forces in the case of nonpolar crystals, or dipole-dipole forces in the case of polar crystals. Some molecular crystals, such as ice, have molecules held together by hydrogen bonds. When one of the noble gases is cooled and solidified, the lattice points are individual atoms rather than molecules. In all cases, the intermolecular forces holding the particles together are far weaker than either ionic or covalent bonds. As a result, the melting and boiling points of molecular crystals are much lower. Lacking ions or free electrons, molecular crystals are poor electrical conductors.
|
high_school_chemistry
|
chemistry
|
|
mmlu_aux_train_96424
|
mmlu_aux_train
|
An environmentalist heats their home by using a corn stove. The environmentalist knows that heating this way releases carbon dioxide back into the air, but is unworried about is as a result of
A. it promoting plant growth
B. corn is too dangerous
C. corn is actually evil
D. corn grows under the water
|
A. it promoting plant growth
|
high_school_chemistry
|
chemistry
|
||
allenai/sciq_2445
|
allenai/sciq
|
What kind of reaction is a reaction in which two or more substances combine to form a single new substance?
A. combination reaction
B. compounding reaction
C. power reaction
D. chemical reaction
|
A. combination reaction
|
A combination reaction is a reaction in which two or more substances combine to form a single new substance. Combination reactions can also be called synthesis reactions. The general form of a combination reaction is:.
|
high_school_chemistry
|
chemistry
|
|
NLP4Education_510
|
NLP4Education
|
How many generators are there in $\mathbb{Z}_n$?
A. $1$
B. $n - 1$
C. $n$
D. $\varphi(n)$
|
D. $\varphi(n)$
|
abstract_algebra
|
mathematics
|
||
mmlu_aux_train_37334
|
mmlu_aux_train
|
You are careful with your money: you collect all kinds of coupons; look for group-buy deals if you eat out; you don't buy clothes unless in a sale. Does all this make you a wise consumer? Let's do the math first: you walk into a coffee shop and see two deals for a cup of coffee. The first deal offers 33 percent extra coffee. The second takes 33 percent off the regular price. What's the better deal? Well, they are about the same, you'd think. And you'd be wrong. The deals appear to be equal, but in fact, they are different. Here's the math: Let's say the standard coffee is 10 yuan and let's divide the amount of coffee into three portions . That makes about 3.3 yuan per portion, The first deal gets you 4 portions for 10 yuan (2.5 yuan per portion) and the second gets you 3 portions of coffee for 6.6 yuan (2.2 yuan per portion) and is therefore a better deal. In a new study published by the Journal of Marketing, participants were asked the same question, and most of them chose the first deal, the Atlantic website reported. Why? Because getting something extra for free feels better than getting the same for less. The applications of this view into consumer psychology are huge. Instead of offering direct discounts, shops offer larger sizes or free samples. According to the study, the reason why these marketing tricks work is that consumers don't really know how much anything should cost, so we rely on parts of our brains that aren't strictly quantitative. There are some traps we should be aware of when shopping. First of all, we are heavily influenced by the first number. Suppose you are shopping in Hong Kong. You walk into Hermes, and you see a 100,000 yuan bag. "That's crazy." You shake your head and leave. The next shop is Gucci, a handbag here costs 25,000 yuan. The price is still high, but compared to the 100,000 yuan price tag you just committed to your memory, this is a steal. Stores often use the price difference to set consumers' expectation. zxxk Another trap we often fall to Is that we are not really sure what things are worth. And so we use clues to tell us what we ought to pay for them. US economist Dan Ariely has done an experiment to prove this. According to the Atlantic, Ariely pretended he was giving a lecture on poetry. He told one group of students that the tickets cost money and another group that they would be paid to attend. Then he informed both groups that thelecture was free. The first group was anxious to attend, believing they were getting something of value for free. The second group mostly declined, believing they were being forced to volunteer for the same event without reward. What's a lecture on poetry by an economist worth? The students had no idea. That's the point. Do we really know what a shirt is worth ? What about a cup of coffee? What's the worth of a life insurance.policy? Who knows? Most of us don't. As a result, our shopping brain uses only what is knowable: visual clues, invited emotions, comparisons, and a sense of bargain. We are not stupid. We are just easily influenced. What consumer psychology is mentioned in the passage?
A. The first number has little influence on which item should be bought.
B. Consumers never use visual clues to decide how much should be paid.
C. Getting something extra for free is better than getting the same for less.
D. Consumers never rely on parts of the brains that aren't strictly quantitative.
|
C. Getting something extra for free is better than getting the same for less.
|
college_mathematics
|
mathematics
|
||
NLP4Education_812
|
NLP4Education
|
A friend asked you to prove the following statement true or false: if a and b are rational numbers, a^b must be irrational. Examining the case where a is 1 and b is 2, what kind of proof are you using?
A. Proof by contradiction
B. Proof by cases
C. Proof by counterexample
D. Exhaustive proof
|
C. Proof by counterexample
|
college_mathematics
|
mathematics
|
||
mmlu_aux_train_82644
|
mmlu_aux_train
|
Jim was a 15-year-old boy living with his little sister, Joy. Their parents had passed away long ago. Jim took care of Joy by himself. One day, Jim woke up at 3 in the morning as usual. When Joy was sleeping alone, Jim left their little house to deliver newspapers. As he did so, he found something unusual. One man was sitting in front of Jim's house. Jim was so surprised that he stopped to look at him closely. It was an icy morning and he looked very old. The poor old man didn't have anything to cover himself with. Jim went into his house to get the old man a blanket . However, there were no extra blankets, so Jim thought hard and took his father's coat. It was the only thing of his father's that he had left. Jim wrote a short note. "Sir, I found you sleeping in front of my house. This is my father's coat. I hope it fits you well." He put the note in a pocket of the coat, and covered the old man with the coat. Then he went to work. When he came back three hours later, both the man and the coat were gone. Jim thought that it was the best thing he could have done with his father's coat. That afternoon, Jim hurried home after school because Joy was at home alone. However, Joy and the old man were standing in front of the house, and Joy shouted to Jim, "Brother!He's our grandfather!" The grandfather smiled and said, "Jim, I have been looking for you all around the country for eight years. I'm not rich. But I can take care of you two. Thank you for giving me the coat and letting me know what a good person my grandson is. This coat was the very one that I gave my own son, a long time ago." Jim looked after his little sister by himself because _ .
A. they were too poor
B. their grandfather left them
C. he was old enough
D. their parents had died
|
D. their parents had died
|
high_school_computer_science
|
computer_science
|
||
allenai/sciq_3699
|
allenai/sciq
|
Space telescopes avoid such problems completely since they orbit outside the what?
A. galaxy
B. atmosphere
C. earth's crust
D. ozone layer
|
B. atmosphere
|
Telescopes on Earth all have one big problem: Incoming light must pass through the atmosphere. This blocks some wavelengths of radiation. Also, motion in the atmosphere distorts light. You see this when you see stars twinkling in the night sky. Many observatories are built on high mountains. There is less air above the telescope, so there is less interference from the atmosphere. Space telescopes avoid such problems completely since they orbit outside the atmosphere.
|
astronomy
|
physics
|
|
allenai/sciq_3577
|
allenai/sciq
|
The posterior end of a typical rib is called what?
A. neck
B. bottom
C. chest
D. head
|
D. head
|
Parts of a Typical Rib The posterior end of a typical rib is called the head of the rib (see Figure 7.27). This region articulates primarily with the costal facet located on the body of the same numbered thoracic vertebra and to a lesser degree, with the costal facet located on the body of the next higher vertebra. Lateral to the head is the narrowed neck of the rib. A small bump on the posterior rib surface is the tubercle of the rib, which articulates with the facet located on the transverse process of the same numbered vertebra. The remainder of the rib is the body of the rib (shaft). Just lateral to the tubercle is the angle of the rib, the point at which the rib has its greatest degree of curvature. The angles of the ribs form the most posterior extent of the thoracic cage. In the anatomical position, the angles align with the medial border of the scapula. A shallow costal groove for the passage of blood vessels and a nerve is found along the inferior margin of each rib.
|
high_school_biology
|
biology
|
|
allenai/sciq_6652
|
allenai/sciq
|
Lots of volcanoes form along which boundaries?
A. geyser plate boundaries
B. subduction plate boundaries
C. basalt plate boundaries
D. deposit plate bounderies
|
B. subduction plate boundaries
|
Lots of volcanoes form along subduction plate boundaries. The edges of the Pacific Plate are a long subduction boundary. Lines of volcanoes can form at subduction zones on oceanic or continental crust. Japan is an example of a volcanic arc on oceanic crust. The Cascade Range and Andes Mountains are volcanic arcs on continental crust.
|
college_earth_science
|
earth_science
|
|
math_1798
|
math_mc
|
The integer $n$ is the largest positive multiple of $15$ such that every digit of $n$ is either $8$ or $0$. Compute $\frac{n}{15}$.
|
A
|
math_Number Theory
|
mathematics
|
||
aquarat_70702
|
deepmind/aqua_rat
|
If the mode of Set R is equal to the median of Set R, Set R could be
|
A. [0, 1, 2, 2, 3, 4, 5, 6] B. [2, 2, 5, 7, 9] C. [x, x+1, x+2, x+2, x+3, x+3] D. [10, 102, 105, 105] E. [4, 7, 10, 11, 25/2, 13, 13, 17, 29, 51, 51, 51]
|
C. [x, x+1, x+2, x+2, x+3, x+3]
|
Correct Answer: (C)
Set R could be The mode is the most common number; the median is the middle number when the numbers are arranged from least to greatest. Any number plus an integer value is greater than the original number, so x + 1 is greater than x, x + 2 is greater than x + 1, etc., so set (C) is arranged from least to greatest. Its median is the average of (x+2) and (x+2), which must be (x+2). (x+2) is also the most common number, so the mode of set C is equal to the median of set C.
|
high_school_statistics
|
mathematics
|
NLP4Education_705
|
NLP4Education
|
Which of the following statements about fuzzing is/are correct?
A. Generational fuzzing always requires less manual work than mutational fuzzing.
B. Blackbox fuzzers can make use of initial seeds.
C. Greybox fuzzing keeps track of concrete program paths to abstract behavior.
D. Greybox fuzzing is always the better alternative to blackbox fuzzing.
|
B. Blackbox fuzzers can make use of initial seeds.
|
computer_security
|
computer_science
|
||
allenai/sciq_291
|
allenai/sciq
|
In this type of reaction, an element replaces another element in a compound, and the element is in any state of matter but is not an ion?
A. replication reaction
B. double-replacement reaction
C. polar reaction
D. single-replacement reaction
|
D. single-replacement reaction
|
A single-replacement reaction is one in which an element replaces another element in a compound. An element is in either the solid, liquid, or gas state and is not an ion. The example below shows the reaction of solid magnesium metal with aqueous silver nitrate to form aqueous magnesium nitrate and silver metal.
|
high_school_chemistry
|
chemistry
|
|
mmlu_aux_train_24655
|
mmlu_aux_train
|
Astronomy is the oldest science known to man. Thousands of years ago man looked at the stars and wondered about the heavens. But man was limited by what he could see with his eyes alone. The Greeks studied astronomy over 2,000 years ago. They could see the size, color, and brightness of a star. They could see its place in the sky. They watched the stars move as the seasons changed. But the Greeks had no tools to help themselves study the heavens. Each new tool added to the field of astronomy helped man reach out into space. They did not know that the planet called Saturn had rings around it. Their sight was so limited that they could not see all the planets. In the early 1700s, people thought there were only six planets. Nepture , the last of eight planets to be discovered, was not seen until 1846. Before the spectroscope , man did not know what kind of gases was in the sun or other stars. Without the radio telescope, we didn't know that radio noises came from far out in space. Today, astronomy is a growing science. We had learned more in the last fifty years than in the whole history of astronomy. . Thousands of years ago, people observed the stars with the limitation of their _ .
A. eyesight
B. land
C. wealth
D. knowledge
|
A. eyesight
|
astronomy
|
physics
|
||
pythonio_583
|
pythonio-mc
|
Program:
def get_Pairs_Count(arr,n,sum):
count = 0
for i in range(0,n):
for j in range(i + 1,n):
if arr[i] + arr[j] == sum:
count += 1
return count
Input:
get_Pairs_Count([1,5,7,-1,5],5,6)
Output:
|
B
|
code
|
computer_science
|
||
mmlu_aux_train_93681
|
mmlu_aux_train
|
Which is an example of a chemical change?
A. sand separated from water by filtering
B. water evaporating from a puddle
C. a rock being eroded by wind
D. a nail rusting in water
|
D. a nail rusting in water
|
high_school_chemistry
|
chemistry
|
||
math_599
|
math_mc
|
Matt will arrange four identical, dotless dominoes (shaded 1 by 2 rectangles) on the 5 by 4 grid below so that a path is formed from the upper left-hand corner $A$ to the lower righthand corner $B$. In a path, consecutive dominoes must touch at their sides and not just their corners. No domino may be placed diagonally; each domino covers exactly two of the unit squares shown on the grid. One arrangement is shown. How many distinct arrangements are possible, including the one shown?
[asy]
size(101);
real w = 1; picture q;
filldraw(q,(1/10,0)--(19/10,0)..(2,1/10)--(2,9/10)..(19/10,1)--(1/10,1)..(0,9/10)--(0,1/10)..cycle,gray(.6),linewidth(.6));
add(shift(4*up)*q); add(shift(3*up)*shift(3*right)*rotate(90)*q); add(shift(1*up)*shift(3*right)*rotate(90)*q); add(shift(4*right)*rotate(90)*q);
pair A = (0,5); pair B = (4,0);
for(int i = 0; i<5; ++i)
{draw((i,0)--(A+(i,0))); draw((0,i)--(B+(0,i)));}
draw(A--(A+B));
label("$A$",A,NW,fontsize(8pt)); label("$B$",B,SE,fontsize(8pt));
[/asy]
|
A
|
math_Counting & Probability
|
mathematics
|
||
allenai/sciq_8096
|
allenai/sciq
|
The heat capacity of an object depends on its chemical composition and what other property?
A. mass
B. concentrations
C. volume
D. weight
|
A. mass
|
If a swimming pool and wading, both full of water at the same temperature were subjected to the same input of heat energy, the wading pool would certainly rise in temperature more quickly than the swimming pool. The heat capacity of an object depends both on its mass and its chemical composition. Because of its much larger mass, the swimming pool of water has a larger heat capacity than the bucket of water.
|
high_school_chemistry
|
chemistry
|
|
aquarat_85862
|
deepmind/aqua_rat
|
Given that x = 2^b – (8^32 + 16^5), which of the following values for b yields the lowest value for |x|?
|
A. 94 B. 95 C. 96 D. 97 E. 116
|
C. 96
|
8^32 + 16^5 = 2^96 + 2^20
Compared to 2^96, the value of 2^20 is negligible.
2^96 - (2^96 +2^20) will minimize the value of |x|.
The answer is C.
|
college_mathematics
|
mathematics
|
NLP4Education_706
|
NLP4Education
|
Which of the following statements about testing is/are correct?
A. Concolic execution specializes in finding bugs close to the path of the provided concrete input.
B. Tests prove the absence of bugs but not their presence.
C. In static analysis, determining the correct target set of indirect calls is unnecessary for minimizing over-approximation.
D. Dynamic analysis is more susceptible to state space explosion than static analysis.
|
A. Concolic execution specializes in finding bugs close to the path of the provided concrete input.
|
computer_security
|
computer_science
|
||
math_1022
|
math_mc
|
A tripod has three legs each of length $5$ feet. When the tripod is set up, the angle between any pair of legs is equal to the angle between any other pair, and the top of the tripod is $4$ feet from the ground. In setting up the tripod, the lower 1 foot of one leg breaks off. Let $h$ be the height in feet of the top of the tripod from the ground when the broken tripod is set up. Then $h$ can be written in the form $\frac m{\sqrt{n}},$ where $m$ and $n$ are positive integers and $n$ is not divisible by the square of any prime. Find $\lfloor m+\sqrt{n}\rfloor.$ (The notation $\lfloor x\rfloor$ denotes the greatest integer that is less than or equal to $x.$)
|
A
|
math_Geometry
|
mathematics
|
||
aquarat_2870
|
deepmind/aqua_rat
|
At the faculty of Aerospace Engineering, 312 students study Random-processing methods, 232 students study Scramjet rocket engines and 112 students study them both. If every student in the faculty has to study one of the two subjects, how many students are there in the faculty of Aerospace Engineering?
|
A. 424. B. 428. C. 430. D. 432. E. 436
|
D. 432.
|
Students studying Random-processing methods = 312
Students studying Scramjet rocket engines = 232
Students studying them both = 112
Therefore ;
Students studying Only Random processing methods = 312 - 112 = 200
Students Studying Only Scramjet Rocket engines = 232 - 112 = 120
Students Studying Both = 112
Students Studying None = 0 (As mentioned in question that every student in the faculty has to study one of the two subjects)
Total Students in faculty of Aerospace Engineering = Students of Only Random processing methods + Students of Only Scramjet Rocket engines + Both + None
Total number of Students = 200 + 120 + 112 + 0 = 432 ....
Answer D
|
college_mathematics
|
mathematics
|
NLP4Education_789
|
NLP4Education
|
Let $\mathcal C_1$ be a linear code over $\mathbb F_3^n$, and let $\mathcal C_2$ be a linear code over $\mathbb F_2^n$. True or false: $\mathcal C_1 \cap \mathcal C_2$ is necessarily a linear code over $\mathbb F_3^n$.
A. True, always
B. False, not necessarily
C. True, if $\mathcal C_1$ and $\mathcal C_2$ have the same dimension
D. True, if $n$ is even
|
B. False, not necessarily
|
abstract_algebra
|
mathematics
|
||
mmlu_aux_train_66916
|
mmlu_aux_train
|
Uncertainty spreads through our lives so thoroughly that it dominates our language. Our everyday speech is made up in large part of words like probably, many, soon, great, little. What do these words mean?Such verbal expression is not necessarily to be criticized. Indeed, it has a value just because it allows us to express judgments when a precise quantitative statement is out of the question. We have been trying to pin down by experiments what people mean by these expressions in specific contexts, and how the meanings change with age. For instance, a subject is told "There are many trees in the park" and is asked to say what number the word many mean to him. Or a child is invited to take "some" sweets from a bowl and we then count how many he has taken. We compare the number he takes when he is alone with the number when one or more other children are present and are to take some sweets after him, or with the number he takes when told to give "some" sweets to another child. First, we find that the number depends, of course, on the items involved. To most people some friends means about five, while some trees means about twenty. However, unrelated areas sometimes show parallel values. For instance, the language of probability seems to mean about the same thing in predictions about the weather and about politics: the expression "is certain to" (rain, or be elected) signifies to the average person about a 70 percent chance; "is likely to", about a 60 percent chance; "probably will" about 55 percent. Secondly, the size of the population of items influences the value assigned to an expression. Thus, if we tell a subject to take "a few" or " a lot of" glass balls from a box, he will take more if the box contains a large number of glass balls than if it has a small number. But not proportionately more: if we increase the number of glass balls eight times, the subject takes only half as large a percentage of the total. Thirdly, there is a marked change with age. Among children between six and fourteen years old, the older the child, the fewer glass balls he will take. But the difference between a lot and a few widens with age. This age effect is so consistent that it might be used as a test of intelligence. What's the right attitude towards the words like probably, many, soon?
A. They are inaccurate and we should avoid them.
B. They are necessary since we cannot be always precise.
C. They should be criticized because there are too many of them.
D. Their value is not yet clear since we don't know their meaning.
|
B. They are necessary since we cannot be always precise.
|
formal_logic
|
mathematics
|
||
math_1601
|
math_mc
|
What is $2^{-1} + 2^{-2} + 2^{-3} + 2^{-4} + 2^{-5} + 2^{-6} \pmod{13}$?
Express your answer as an integer from $0$ to $12$, inclusive.
|
B
|
math_Number Theory
|
mathematics
|
||
allenai/sciq_8937
|
allenai/sciq
|
What do you call the atomic "ingredients" that go into a chemical reaction?
A. propellants
B. Starters
C. complexes
D. reactants
|
D. reactants
|
Like equations in math, equations in chemistry must balance. There must be the same number of each type of atom in the products as there is in the reactants. In equation 1, count the number of hydrogen and oxygen atoms on each side of the arrow. There are two hydrogen atoms in both reactants and products. There are two oxygen atoms in the reactants but only one in the product. Therefore, equation 1 is not balanced.
|
high_school_chemistry
|
chemistry
|
|
allenai/sciq_3132
|
allenai/sciq
|
What is the force of attraction between fundamental particles called quarks, called.
A. strong nuclear force
B. magnetism
C. gravity
D. weak nuclear force
|
A. strong nuclear force
|
The strong nuclear force is a force of attraction between fundamental particles called quarks, which have a type of charge called color charge. The strong nuclear force is transferred between quarks by fundamental force-carrying particles called gluons. Both protons and neutrons consist of quarks. The exchange of gluons holds quarks together within a proton or neutron. Excess, or residual, strong force holds together protons and neutrons in the nucleus. The strong nuclear force is strong enough to overcome the electromagnetic force of repulsion pushing protons apart. Both forces are represented in the Figure below .
|
college_physics
|
physics
|
|
mmlu_aux_train_95592
|
mmlu_aux_train
|
One of the earth's layer's is it's crust. It can be found
A. just above it's mantle
B. in the center of the earth
C. on top of the moon
D. close to the sun
|
A. just above it's mantle
|
earth_science
|
earth_science
|
||
allenai/sciq_3459
|
allenai/sciq
|
What does pushing an object over the surface of a ramp cause?
A. friction
B. tension
C. Acceleration
D. vibration
|
A. friction
|
Consider the ramp in Figure below . It’s easier to push the heavy piece of furniture up the ramp to the truck than to lift it straight up off the ground. However, pushing the furniture over the surface of the ramp creates a lot of friction. Some of the force applied to moving the furniture must be used to overcome the friction. It would be more efficient to use a dolly on wheels to roll the furniture up the ramp. That’s because rolling friction is much less than sliding friction. As a result, the efficiency of the ramp would be greater with a dolly.
|
conceptual_physics
|
physics
|
|
mmlu_aux_train_63332
|
mmlu_aux_train
|
Course A: Understanding computers 1. A twelve-hour course for people who do not know very much about computers but need to learn about them. You can learn what computers are, what computers can do and cannot do, and how to use them. 2. Course fee: $75, from June 1 to June 28, 9~12am every Sunday. 3. Equipment fee: $10. 4. Teacher: Joseph Saunders, professor of computer science at New Urban University, with twelve years of experience in computer field. Call 67801642 or 67801643 for more information. Course B: Learning to speak French 1. A course with a small class of less than 20 people, twice a week. Your French level is tested in the first class. Then you can begin practicing at one of eight different skill levels. This allows you to learn at your own speed, and prepares you to learn through situations of real life with a funny and easy method. 2. Course fee: $200, from June 1 to June 25, 4~7pm every Monday and Thursday. 3. Personal tutoring fee: $100. 4. Teacher: From the first day on you can have your own personal French teacher that corrects your exercises and assists you along the course, who has successfully taught French course before. Phone 67353019 for more information. Course C: Learning to swim 1. A course for people who have interest in swimming. We offer morning and afternoon classes, where swimming knowledge will be taught. Then you can gain swimming skills through practicing in water. 2. Course fee: $150, from June 9 to June 29, 10am~4pm every Tuesday and Friday.. 3. Personal tutoring Fee: $100 4. Teacher: Teachers from sports college and experienced swimming-loves. Very close to the Central Park. For further information call 67432308. The computer professor has got _ years of experience in computer field.
A. seven
B. nine
C. ten
D. twelve
|
D. twelve
|
high_school_computer_science
|
computer_science
|
||
math_1163
|
math_mc
|
Let $a,$ $b,$ and $c$ be constants, and suppose that the inequality \[\frac{(x-a)(x-b)}{x-c} \le 0\]is true if and only if either $x < -4$ or $|x-25| \le 1.$ Given that $a < b,$ find the value of $a + 2b + 3c.$
|
C
|
math_Intermediate Algebra
|
mathematics
|
||
math_1213
|
math_mc
|
Let $z$ be a complex number such that
\[|z - 12| + |z - 5i| = 13.\]Find the smallest possible value of $|z|.$
|
A
|
math_Intermediate Algebra
|
mathematics
|
||
math_1671
|
math_mc
|
Consider the integer\[N = 9 + 99 + 999 + 9999 + \cdots + \underbrace{99\ldots 99}_\text{321 digits}.\]Find the sum of the digits of $N$.
|
A
|
math_Number Theory
|
mathematics
|
||
mmlu_aux_train_97496
|
mmlu_aux_train
|
Which of the following prolongs combustion?
A. fire extinguishers
B. water
C. smothering
D. candle wax
|
D. candle wax
|
high_school_chemistry
|
chemistry
|
||
allenai/sciq_9606
|
allenai/sciq
|
Does warm air sit above or below cooler air in the troposphere?
A. near
B. adjacent
C. below
D. above
|
C. below
|
In the troposphere, warm air ordinarily sits below cooler air.
|
astronomy
|
physics
|
|
mmlu_aux_train_92761
|
mmlu_aux_train
|
Energy from the Sun reaches Earth by
A. radiation.
B. conduction.
C. convection.
D. thermal expansion.
|
A. radiation.
|
conceptual_physics
|
physics
|
||
aquarat_42747
|
deepmind/aqua_rat
|
Each of the 43 points is placed either inside or on the surface of a perfect sphere. If 16% or fewer of the points touch the surface, what is the maximum number of segments which, if connected from those points to form chords, could be the diameter of the sphere?
|
A. 3 B. 11 C. 13 D. 23 E. 38
|
A. 3
|
Maximum number of points on the surface is 16%*43 = 6.88 ... or 6 since it has to be an integer
Now note that if two points form a diameter, they cannot be part of any other diameter.
So in the best case we can pair up the points
We have 6 points, so at best we can form 3 pairs (6).
So, answer is (A)
|
college_mathematics
|
mathematics
|
mmlu_aux_train_93177
|
mmlu_aux_train
|
Cumulonimbus clouds often form along cold fronts. Which type of weather is most likely to occur along a cold front?
A. moderate temperature with mild breezes
B. storms with hurricane winds
C. rain with possible severe thunderstorms
D. high temperatures with low winds
|
C. rain with possible severe thunderstorms
|
astronomy
|
physics
|
||
allenai/sciq_5178
|
allenai/sciq
|
What type of molecule is carbon dioxide (co2)?
A. non-linear
B. filter
C. planar
D. linear
|
D. linear
|
For molecules with more than two atoms, the molecular geometry must also be taken into account when determining if the molecule is polar or nonpolar. The Figure below shows a comparison between carbon dioxide and water. Carbon dioxide (CO 2 ) is a linear molecule. The oxygen atoms are more electronegative than the carbon atom, so there are two individual dipoles pointing outward from the C atom to each O atom. However, since the dipoles are of equal strength and are oriented in this way, they cancel each other out and the overall molecular polarity of CO 2 is zero.
|
college_chemistry
|
chemistry
|
|
mmlu_aux_train_90328
|
mmlu_aux_train
|
If we find a bird nest , we will have a good place of watching and knowing about birds. Birds sit on eggs and take care of their babies from April to June. Because the baby birds are too young to leave the nest, parents often go to look for food and come back in several minutes. So it is good to watch birds. When we watch birds, we'd better hide ourselves in a close place to the nest, and it's better to use binoculars . But how do we make a bird nest? A good bird nest must be very fine, strong, thick and comfortable. If you want to make one, please follow these: a) Each nest must have six boards for its cover and floor, for its left and right sides, and for its front and back sides. Don't make the boards too slippery . b) Dig a small hole in the front of the nest as a "door". The "door" is big enough so birds can fly in or out easily. c) Make sure the rainwater can't go into the nest. d) One piece of the board should be easy to open. e) Don't forget to colour the nest. We need _ near a bird nest if we want to watch and know about birds.
A. a good place
B. some trees
C. to sit on eggs
D. to make a bird net
|
A. a good place
|
high_school_biology
|
biology
|
||
allenai/sciq_7441
|
allenai/sciq
|
What helps determine the concentration of a species in a solution?
A. technical analysis
B. quantitative analysis
C. fundamental analysis
D. qualitative analysis
|
B. quantitative analysis
|
Summary The concentration of a species in solution can be determined by quantitative analysis. One such method is a titration, in which a measured volume of a solution of one substance, the titrant, is added to a solution of another substance to determine its concentration. The equivalence point in a titration is the point at which exactly enough reactant has been added for the reaction to go to completion. A standard solution, a solution whose concentration is known precisely, is used to determine the concentration of the titrant. Many titrations, especially those that involve acid–base reactions, rely on an indicator. The point at which a color change is observed is the endpoint, which is close to the equivalence point if the indicator is chosen properly.
|
high_school_chemistry
|
chemistry
|
|
mmlu_aux_train_2082
|
mmlu_aux_train
|
An air mass in a valley travels up a mountainside. What causes the movement of this air?
A. tidal pull of the moon's gravity
B. evaporation of water from soil in the valley
C. warming by solar energy re-radiated from the ground
D. cooling effect of ice crystals in the air over the mountain
|
C. warming by solar energy re-radiated from the ground
|
conceptual_physics
|
physics
|
||
allenai/sciq_3239
|
allenai/sciq
|
What do you call different organs working together?
A. cellular system
B. endocrine system
C. maturation systems
D. organ systems
|
D. organ systems
|
high_school_biology
|
biology
|
||
pythonio_961
|
pythonio-mc
|
Program:
def left_rotate(s,d):
tmp = s[d : ] + s[0 : d]
return tmp
Input:
left_rotate("bigdata",3 )
Output:
|
C
|
code
|
computer_science
|
||
pythonio_366
|
pythonio-mc
|
Program:
def max_sum_of_three_consecutive(arr, n):
sum = [0 for k in range(n)]
if n >= 1:
sum[0] = arr[0]
if n >= 2:
sum[1] = arr[0] + arr[1]
if n > 2:
sum[2] = max(sum[1], max(arr[1] + arr[2], arr[0] + arr[2]))
for i in range(3, n):
sum[i] = max(max(sum[i-1], sum[i-2] + arr[i]), arr[i] + arr[i-1] + sum[i-3])
return sum[n-1]
Input:
max_sum_of_three_consecutive([100, 1000, 100, 1000, 1], 5)
Output:
|
C
|
code
|
computer_science
|
||
NLP4Education_156
|
NLP4Education
|
How does matrix factorization address the issue of missing ratings?
A. It updates model parameters based only on ratings that are present
B. It fills in missing ratings with the average user rating
C. It deletes users with incomplete ratings from the dataset
D. It regularizes all entries in the rating matrix equally
|
A. It updates model parameters based only on ratings that are present
|
machine_learning
|
computer_science
|
||
mmlu_aux_train_28171
|
mmlu_aux_train
|
Mark and his brother Jason both were looking at the shining new computer enviously. Jason was determined not to go against their father's wishes but Mark was more adventurous than his brother. He loved experimenting and his aim was to become a scientist like his father. "Dad will be really mad if he finds out you've been playing with his new computer." Jason said, "He told us not to touch it." "He won't find out." Mark said, "I'll just have a quick look and shut it down." Mark had been scolded before for touching his father's equipment. But his curiosity was difficult to control and this new computer really puzzled him. It was a strange-looking machine -one his dad had brought home from the laboratory where he worked. "It's an experimental model," his father had explained, "so don't touch it under any circumstances." But his warning only served to make Mark more curious. Without any further thought, Mark turned on the power switch. The computer burst into life and seconds later, the screen turned into color1s, shifting and changing and then two big white words appeared in the center of the screen: "SPACE TRANSPORTER." "Yes!" Mark cried excitedly, "It's a computer game. I knew it! Dad's only been pretending to work. He's really been playing games instead." A new message appeared on the screen: ENTER NAMES VOYAGER 1: ... VOYAGER 2: ... Mark's fingers flew across the keyboard as he typed in both of their names. INPUT ACCEPTED. START TRANSPORT PROGRAM. AUTO-RETRIEVE INITIATED The screen turned even brighter and a noise suddenly rose in volume. "I think we'd better shut it off, Mark," Jason yelled, reaching for the power switch. He was really frightened. But his hand never reached the switch. A single beam of dazzling white light burst out of the computer screen, wrapping the boys in its glow , until they themselves seemed to be glowing. Then it died down just as suddenly as it had burst into life. And the boys were no longer there. On the screen, the letters changed. TRANSPORT SUCCESSFUL. DESTINATION: MARS. RETRIEVE DATE: 2025. Why did Mark touch the computer against his father's warning?
A. He wanted to take a voyage.
B. He wanted to practice his skill.
C. He was so much attracted by it.
D. He was eager to do an experiment.
|
C. He was so much attracted by it.
|
high_school_computer_science
|
computer_science
|
||
allenai/sciq_4644
|
allenai/sciq
|
Why is a synthetic diamond not considered a mineral?
A. minerals must be created naturally
B. fluctuations must be created naturally
C. interactions must be created naturally
D. Minerals must not occur naturally.
|
A. minerals must be created naturally
|
Could a mineral be made by a process that was not natural? People make gemstones in a laboratory. Synthetic diamond is a common one. But that stone is not a mineral. That's because a mineral must be created by natural processes. This is part of the definition of a mineral.
|
high_school_chemistry
|
chemistry
|
|
mmlu_aux_train_66680
|
mmlu_aux_train
|
On Jan. 3, a netizen nicknamed "Programmer Humor"published a short story on his micro-blog. It said that there was an old lady who swept nearly every inch of his Internet company. When she passed by a programmer, she took a look at the codes on the programmer's computer and kindly reminded him, "Be careful, the stack is overfilled!" Certainly, it is a casual and fictitious story made up by the micro-blogger. However, no one would have guessed that the short blog would eventually cause the first great Internet meme of 2011 in China. Suddenly, the mysterious "Sweeping Old Lady" is showing up nearly everywhere and reminding professionals of their mistakes. From 8 a. m. on Jan. 5, some netizens collected stories of the "Sweeping Old Lady" and found she had appeared to give advice in 150 kinds of careers. A netizen even said he had met with a similar situation in real life. Actually, the "Sweeping Old Lady" is not new figure, but is based on the "sweeping monk "in Louis Cha's famous Kung fu novel of "Tian Long Ba Bu". The "sweeping monk" is an old monk and does the lowest class of work in Shaolin Temple, but he is actually the No. 1 master in the noel both in Kung fu and in the study of Buddhism. The "Sweeping Old Lady" is also a great modest master. Lots of netizens wish that they could have such a lady beside them to give them precious suggestions at a key time. Although there may be 1,000 "Sweeping Old Ladies" in 1,000 people's minds, it cannot prevent the "Sweeping Old Lady" from becoming the most popular figure on the Internet. "Programmer Humor" said he is just a programmer in the real world and once he saw the story about the "Sweeping Old Lady," he wrote it down in his micro-blog because it was funny. He never knew who the original writer of the story was and never thought the story could be so popular. What quality does the "Sweeping Old Lady" have?
A. Honest and knowledgeable.
B. Modest and patient.
C. Modest and knowledgeable.
D. Honest and patient.
|
C. Modest and knowledgeable.
|
coding
|
computer_science
|
||
NLP4Education_350
|
NLP4Education
|
Why is natural language processing difficult? Select all that apply. A penalty will be applied for wrong answers.
A. The grammar rules in all languages are always consistent and easy to model.
B. Ambiguity in meaning and subjectivity of annotators can make interpretation challenging.
C. All language data is low-dimensional and dense, making processing straightforward.
D. Annotated datasets are always perfectly reliable and abundant.
|
B. Ambiguity in meaning and subjectivity of annotators can make interpretation challenging.
|
machine_learning
|
computer_science
|
||
math_1731
|
math_mc
|
Let $f(n)$ return the number of distinct ordered pairs of positive integers $(a, b)$ such that for each ordered pair, $a^2 + b^2 = n$. Note that when $a \neq b$, $(a, b)$ and $(b, a)$ are distinct. What is the smallest positive integer $n$ for which $f(n) = 3$?
|
A
|
math_Number Theory
|
mathematics
|
||
math_898
|
math_mc
|
Triangle $\triangle ABC$ has a right angle at $C$, $\angle A = 60^\circ$, and $AC=10$. Find the radius of the incircle of $\triangle ABC$.
|
C
|
math_Geometry
|
mathematics
|
||
pythonio_151
|
pythonio-mc
|
Program:
def sort_sublists(list1):
result = list(map(sorted,list1))
return result
Input:
sort_sublists([['green', 'orange'], ['black', 'white'], ['white', 'black', 'orange']])
Output:
|
B
|
code
|
computer_science
|
||
allenai/sciq_4326
|
allenai/sciq
|
What do we call the lowest layer of the atmosphere?
A. mesosphere
B. asthenosphere
C. troposphere
D. stratosphere
|
C. troposphere
|
The troposphere is the lowest layer of the atmosphere. In it, temperature decreases with altitude. The troposphere gets some of its heat directly from the Sun. Most, however, comes from Earth's surface. The surface is heated by the Sun and some of that heat radiates back into the air. This makes the temperature higher near the surface than at higher altitudes.
|
astronomy
|
physics
|
|
allenai/sciq_10902
|
allenai/sciq
|
A circuit that consists of two loops is called a what?
A. unnatural circuit
B. diverse circuit
C. complex circuit
D. parallel circuit
|
D. parallel circuit
|
A circuit that consists of two loops is called a parallel circuit. If one loop of a parallel circuit is interrupted, current can still flow through the other loop.
|
electrical_engineering
|
engineering
|
|
allenai/sciq_915
|
allenai/sciq
|
What type of charge does a neutron have?
A. half charge
B. negative charge
C. positive charge
D. neutral or no charge
|
D. neutral or no charge
|
three building blocks of most matter. (The third is the neutron, which is neutral, carrying no charge. ) Other charge-carrying particles are observed in cosmic rays and nuclear decay, and are created in particle accelerators. All but the electron and proton survive only a short time and are quite rare by comparison.
|
college_physics
|
physics
|
|
pythonio_393
|
pythonio-mc
|
Program:
def convert(list):
s = [str(i) for i in list]
res = int("".join(s))
return (res)
Input:
convert([7,8,9])
Output:
|
D
|
code
|
computer_science
|
||
allenai/sciq_4381
|
allenai/sciq
|
What devices convert mechanical energy to electric energy?
A. mechanical generators
B. kinetic generators
C. electric generators
D. transformation generators
|
C. electric generators
|
Electric generators convert mechanical energy to electric energy.
|
electrical_engineering
|
engineering
|
|
allenai/sciq_7081
|
allenai/sciq
|
Hotspots can be used to tell the speed and direction that what object is moving?
A. crystals
B. plates
C. electrons
D. glaciers
|
B. plates
|
Hotspots can be used to tell the speed and direction that a plate is moving.
|
college_earth_science
|
earth_science
|
|
mmlu_aux_train_98806
|
mmlu_aux_train
|
You can hear
A. a electric viola
B. a perfume
C. a thought
D. a prism
|
A. a electric viola
|
formal_logic
|
mathematics
|
||
NLP4Education_429
|
NLP4Education
|
You are given the task of choosing the parameters of a hash function. What value of the output will you recommend in order to be minimal and secure against second preimage attacks?
A. 40 bits
B. 80 bits
C. 160 bits
D. 320 bits
|
C. 160 bits
|
computer_security
|
computer_science
|
||
allenai/sciq_5801
|
allenai/sciq
|
What is the tail bone an example of?
A. primordial structure
B. invertebrate structure
C. vestigial structure
D. parasitic structure
|
C. vestigial structure
|
Some of the most interesting evidence for evolution comes from vestigial structures . These are body parts that are no longer used but are still present in modern organisms. Examples in humans include tail bones and the appendix.
|
high_school_biology
|
biology
|
|
allenai/sciq_8877
|
allenai/sciq
|
When a solution freezes, only what particles come together to form a solid phase, while the presence of solute particles interferes with that process?
A. hydrogen
B. diluent
C. pigment
D. solvent
|
D. solvent
|
The presence of solute particles has the opposite effect on the freezing point of a solution. When a solution freezes, only the solvent particles come together to form a solid phase, and the presence of solute particles interferes with that process. Therefore, for the liquid solvent to freeze, more energy must be removed from the solution, which lowers the temperature. Thus, solutions have lower freezing points than pure solvents do. This phenomenon is called freezing point depression. For every mole of particles in a liter of water, the freezing point decreases by about 1.9°C. Both boiling point elevation and freezing point depression have practical uses. For example, solutions of water and ethylene glycol (C2H6O2) are used as coolants in automobile engines because the boiling point of such a solution is greater than 100°C, the normal boiling point of water. In winter, salts like NaCl and CaCl2 are sprinkled on the ground to melt ice or keep ice from forming on roads and sidewalks. This is because the solution made by dissolving sodium chloride or calcium chloride in water has a lower freezing point than pure water, so the formation of ice is inhibited.
|
high_school_chemistry
|
chemistry
|
|
allenai/sciq_313
|
allenai/sciq
|
What are used to make maps of the moon and other planets?
A. rendering satellites
B. radio telescopes
C. topographical charts
D. imaging satellites
|
D. imaging satellites
|
Astronomers use imaging satellites to study and make maps of the Moon and other planets.
|
astronomy
|
physics
|
|
allenai/sciq_6527
|
allenai/sciq
|
What do increasing greenhouse gas concentrations in the air do to the earth's temperature?
A. Pollute
B. Lower it
C. stable it
D. raise it
|
D. raise it
|
astronomy
|
physics
|
||
allenai/sciq_6827
|
allenai/sciq
|
Ions can be formed when atoms lose what other particles?
A. electrons
B. protons
C. neutrons
D. shells
|
A. electrons
|
By losing an electron, the sodium atom becomes a sodium ion. It now has more protons than electrons and a charge of +1. Positive ions such as sodium are given the same name as the element. The chemical symbol has a plus sign to distinguish the ion from an atom of the element. The symbol for a sodium ion is Na + .
|
high_school_chemistry
|
chemistry
|
|
aquarat_76745
|
deepmind/aqua_rat
|
Suppose that there are n points in the plane and that each of these
points is joined to exactly three of the others by straight line segments.
Then a possible value of n would be
|
A. 11 B. 15 C. 18 D. 27 E. 39
|
C. 18
|
Count the number of pairs (p,l) where p is one of the n points and l is a line
segment joining p to one of the other n-1 points. Each point is joined to exactly 3 other
points by line segments so that the total number of pairs is 3n (three line segments for
each of the n points). On the other hand, if there are m total line segments, then each line
segment joins exactly two points so that the total number of pairs (p,l) is 2m (two pointsfor each of the m line segments). Thus, we must have 3n = 2m. But this means that n
must be even. The only even choice given is 18, so this must be the answer.
Is n = 18 really possible or is there some other argument that shows n must be divisible
by 23? One can justify that in fact if n is even, then one can join each of any n points
to 3 of the remaining n - 1 points by line segments. To see this, let n = 2k, and let the
points be p1,..., pn. For each j, join pj by line segments to pj-1, pj+1, and pj+k where
subscripts are to be interpreted modulo n. Thus, for example, if n = 18, then the point
p12 is joined to p11, p13, and p3 (since 12 + 9 + 3 (mod 18)) and the point p1 is joined
to p18 (since 1-1=18 (mod 18)), p2, and p10. You should convince yourself that this
construction for n even joins each point to exactly 3 others.
correct answer C
|
college_mathematics
|
mathematics
|
math_207
|
math_mc
|
If $h(x)$ is a function whose domain is $[-8,8]$, and $g(x)=h\left(\frac x2\right)$, then the domain of $g(x)$ is an interval of what width?
|
B
|
math_Algebra
|
mathematics
|
||
aquarat_29865
|
deepmind/aqua_rat
|
Average Age of residents of a colony is 38 years with Standard deviation of 5 years
If Mr.X's age lies within 2 SD from mean and Mr.Y's age lies within 1 SD from mean then find
maximum values of (X/Y) = ?
|
A. 48/38 B. 48/43 C. 48/33 D. 38/33 E. 48/35
|
C. 48/33
|
Mean = 38
X = Mean + 2SD => 28 < x < 48
Y = Mean + 1SD => 33 < x < 43
So, Maximum Value of x/y = Maximum Value of x / Minimum Value of y = 48/33
Hence answer will be (C) 48/33
|
high_school_statistics
|
mathematics
|
mmlu_aux_train_94871
|
mmlu_aux_train
|
A glacier sometimes leaves behind large chunks of ice. What is left in the ground when these chunks of ice melt?
A. a valley
B. a kettle
C. a crater
D. a sinkhole
|
B. a kettle
|
high_school_biology
|
biology
|
||
NLP4Education_244
|
NLP4Education
|
A neural network has been trained for multi-class classification using cross-entropy but has not necessarily achieved a global or local minimum on the training set.
The output of the neural network is $\mathbf{z}=[z_1,\ldots,z_d]^ op$ obtained from the penultimate values $\mathbf{x}=[x_1,\ldots,x_d]^ op$ via softmax $z_k= rac{\exp(x_k)}{\sum_{i}\exp(x_i)}$ that can be interpreted as a probability distribution over the $d$ possible classes.
The cross-entropy is given by $H(\mathbf{y},\mathbf{z})=-\sum_{i=1}^{d} y_i \ln{z_i}$ where $\mathbf{y}$ is one-hot encoded meaning the entity corresponding to the true class is 1 and other entities are 0.
We now modify the neural network, either by scaling $\mathbf{x} \mapsto \alpha \mathbf{x}$ where $\alpha \in \mathbb{R}_{>0}$ or through a shift $\mathbf{x} \mapsto \mathbf{x} + b\mathbf{1}$ where $b \in \mathbb{R}$.
The modified $\mathbf{x}$ values are fed into the softmax to obtain the final output and the network / parameters are otherwise unchanged.
How do these transformations affect the training accuracy of the network?
A. Both transformations decrease the accuracy in some cases (but never increase it).
B. Only one transformation affects the accuracy; the other has no effect.
C. Neither transformation affects the accuracy.
D. Both transformations sometimes increase and sometimes decrease the accuracy.
|
C. Neither transformation affects the accuracy.
|
machine_learning
|
computer_science
|
||
allenai/sciq_1188
|
allenai/sciq
|
The intermolecular structure of what has spaces that are not present in liquid water?
A. condensation
B. ice
C. distillate
D. vapor
|
B. ice
|
The intermolecular structure of ice has spaces that are not present in liquid water.
|
high_school_chemistry
|
chemistry
|
|
mmlu_aux_train_3144
|
mmlu_aux_train
|
Once upon a time, a horse, a cow, a ox, and a donkey were playing outside when they got really hungry. So, they went to a drive-in to get some lunch. The horse ordered a cheeseburger. The cow ordered a chili dog. The ox ordered a chicken sandwich. And the donkey ordered a fish sandwich. The horse ordered fries. The cow ordered onion rings. The ox ordered a baked potato. The donkey ordered a side salad. The horse had ketchup on his cheeseburger. The cow had mayonnaise on his chili dog. The ox had mustard on his chicken sandwich. And the donkey had Miracle Whip on his fish sandwich. But the restaurant didn't get any of the orders right because they had their sauces mixed up. The ketchup got mixed up with the Miracle Whip. The mayonnaise got mixed up with the ketchup. The mustard got mixed up with the mayonnaise. And the Miracle Whip got mixed up with the mustard. The Miracle Whip was red. The ketchup was yellow. The mayonnaise was blue. And the mustard was green. Which side was ordered with the fish sandwich?
A. a side salad
B. onion rings
C. baked potato
D. fries
|
A. a side salad
|
formal_logic
|
mathematics
|
||
aquarat_36722
|
deepmind/aqua_rat
|
All but one of the following statements are definitely true, identify the false statement, given that V is the brother of W and X. Y is V's son and Z is W's son?
|
A. V is Z's uncle B. W is Y's uncle C. X is Y's uncle D. X is Y's brother E. Y is Z's nephew
|
D. X is Y's brother
|
Explanation:
All the statements are true except D (X is Y's brother), Y is V's son that makes X his uncle, not brother.
Answer: D)
|
formal_logic
|
mathematics
|
math_377
|
math_mc
|
The value of the expression \[(2^{1004}+5^{1005})^2-(2^{1004}-5^{1005})^2\]is $k\cdot10^{1004}$ for some positive integer $k$. What is $k$?
|
B
|
math_Algebra
|
mathematics
|
||
aquarat_41946
|
deepmind/aqua_rat
|
If green means red, red means white, white means blue, blue means orange and orange means green, what is the colour of snow ?
|
A. Blue B. Green C. Yellow D. Red E. Pink
|
A. Blue
|
Explanation:
The colour of snow is 'blue' and as given 'White' means Blue'.
so, the snow is 'blue'.
Answer: A
|
formal_logic
|
mathematics
|
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