question: A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?
Options:
(A) 4
(B) 5
(C) 6
(D) 7
(E) 8
answer: Stream of consciousness: S = 600/40 = 15 mps
S = 3600/15 = 240 sec = 4 min The answer is (A).

q: One fourth of one third of two fifth of a number is 15. What will be the 40% of that number is?
Options:
(A) 120
(B) 130
(C) 150
(D) 180
(E) 250
a: Stream of consciousness: (1/4) * (1/3) * (2/5) * x = 15 then x = 15 * 30 = 450
40% of 450 = 180 The answer is (D).

question: If x, y, and z are positive integers such that x is a factor of y and y is a factor of z, which of the following is NOT necessarily an integer?
Options:
(A) (x + y) /z
(B) (y + z) /x
(C) yz/x
(D) (2y + 3z) /x
(E) (xy + z) /y
answer: Stream of consciousness: As per the question, let x = 2, y = 6, and z = 12. Plugging these into the answer choices, only A does not yield an integer. The answer is (A).

q: Express 60 mps in kmph?
Options:
(A) 200
(B) 182
(C) 216
(D) 127
(E) 400
a: Stream of consciousness: 60 * 18/5 = 216 kmph The answer is (C).

question: A company organized a recruiting process for 3 vacant positions of assistant manager for its product launches. The company's efforts yielded 15 eligible candidates. How many sets of 3 candidates can the company choose to fill the 3 assistant manager positions?
Options:
(A) 2,060
(B) 1,320
(C) 455
(D) 315
(E) 220
answer: Stream of consciousness: 15*14*13/3*2*1 = 455 The answer is (C).

question: A train running at the speed of 60 km/hr crosses a pole in 12 sec. What is the length of the train?
Options:
(A) 120 m
(B) 200 m
(C) 324 m
(D) Cannot be determined
(E) None of these
answer:
Stream of consciousness: Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 12 = 200 m The answer is (B).