q: A 360 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?
Options:
(A) 229
(B) 108
(C) 278
(D) 216
(E) 112
a: Stream of consciousness: S = 360/6 * 18/5 = 216 kmph The answer is (D).

question: How many distinct prime numbers are factors of 33150?
Options:
(A) Four
(B) Five
(C) Six
(D) Seven
(E) Eight
answer: Stream of consciousness: Start with the prime factorization:
33150 = 50*663 = (2*5*5)*3*221 = (2)*(3)*(5^2)*(13)*(17)
There are five distinct prime factors, {2, 3, 5, 13, and 17} The answer is (B).

q: A shopkeeper gave an additional 20 per cent concession on the reduced price after giving 30 per cent standard concession on an article. If Arun bought that article for 1,120, what was the original price?
Options:
(A) 3,000
(B) 4,000
(C) 2,400
(D) 2,000
(E) None of these
a: Stream of consciousness: Original price = 1120 10070 10080 = 2000 The answer is (D).

question: Look at this series: 53, 53, 43, 43, 33, 33, ... What number should come next?
Options:
(A) A) 23
(B) B) 14
(C) C) 27
(D) D) 53
(E) E) 86
answer: Stream of consciousness: In this series, each number is repeated, then 10 is subtracted to arrive at the next number. The answer is (A).

q: A and B can do a work in 12 days, B and C in 30 days and C and A in 36 days. In how many days will the work be completed, if all three of them work together?
Options:
(A) 180/63 days
(B) 160/13 days
(C) 180/13 days
(D) 680/13 days
(E) 180/63 days
a: Stream of consciousness: One day work of A and B = 1/12
One day work of B and C = 1/30
One day work of C and A = 1/36
2(A + B + C) = 1/12 + 1/30 + 1/36
2(A + B + C) = 13/90
(A + B + C) = 13/180
Number of days required = 180/13 days. The answer is (C).

q: In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
Options:
(A) 3
(B) 4
(C) 5
(D) 8
(E) 9
a:
Stream of consciousness: Speed in still water = (11 + 5)/2 kmph = 8 kmph. The answer is (D).