q: A train running at the speed of 60 km/hr crosses a pole in 6 sec. What is the length of the train?
Options:
(A) 120 m
(B) 100 m
(C) 324 m
(D) Cannot be determined
(E) None of these
a: Stream of consciousness: Speed = 60* 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 6 = 100 m The answer is (B).


question: How many prime numbers between 1 and 100 are factors of 7150?
Options:
(A) 238
(B) 100
(C) 299
(D) 270
(E) 111
answer: Stream of consciousness: Ans: 7, 150 = 2×52×11×13
So there are 4 distinct prime numbers that are below 100 The answer is (B).


q: Walking across campus, a student interviewed a group of students. 25% of the students took a finance class last semester, 50% took a marketing class last semester, and 40% took neither a finance nor a marketing class last semester. What percent of the students in the group took both a finance and a marketing class?
Options:
(A) 60%
(B) 50%
(C) 25%
(D) 15%
(E) 10%
a: Stream of consciousness: {Total} = {finance} + {marketing} - {both} + {neither}
100 = 25 + 50 - {both} + 40
{both} = 15%. The answer is (D).


question: A women purchased 3 towels @ Rs.100 each, 5 towels @ Rs.150 each and two towels at a certain rate which is now slipped off from his memory. But she remembers that the average price of the towels was Rs.165. Find the unknown rate of two towels?
Options:
(A) A) 400
(B) B) 450
(C) C) 500
(D) D) 550
(E) E) 600
answer: Stream of consciousness: 10 * 150 = 1650
3 * 100 + 5 * 150 = 1050
1650 – 1050 = 600 The answer is (E).


q: In how many different ways can the letters of the word â€˜CASESâ€™ be arranged?
Options:
(A) 250
(B) 280
(C) 60
(D) 310
(E) 360
a: Stream of consciousness: Number of ways = 5!/2! = 5X4X3X2X1/2X1 = 60 The answer is (C).


q: The average of five numbers is 18. The average of first two numbers is 14 and the average of last two numbers is 19. What is the middle number?
Options:
(A) 24
(B) 27
(C) 29
(D) 32
(E) 34
a:
Stream of consciousness: The total of seven numbers = 5X18 = 90
The total of first 2 and last 2 numbers is = 2 X 14+2 X 19 = 66
So, the middle number is (90 - 66 ) = 24 The answer is (A).