Q: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train?
Options:
(A) 150
(B) 872
(C) 287
(D) 288
(E) 212
A: OK... Stream of consciousness: Speed = 60*(5/18) m/sec = 50/3 m/sec
Length of Train (Distance) = Speed * Time
(50/3) * 9 = 150 meter
The answer is (A).

Q: If a man walks to his office at 3/4 of his usual rate, he reaches office 1/3 of an hour later than usual. What is his usual time to reach office.
Options:
(A) 12 hr
(B) 1 hr
(C) 34 hr
(D) 2 hrs
(E) None of these
A: OK... Stream of consciousness: If new speed is ab of original speed, then usual time (ba - 1) = change in time
usual time (43 - 1) = 13
usual time = 13 3 = 1 hr
The answer is (B).

Q: A train 150 meters long completely crosses a 240 meters long bridge in 42 seconds. What is the speed of the train is?
Options:
(A) 32
(B) 33
(C) 88
(D) 66
(E) 09
A: OK... Stream of consciousness: S = (150 + 240)/42 = 390/42 * 18/5 = 33
The answer is (B).

Q: Find the value of y from (12)^3 x 6^4 432 = y?
Options:
(A) 3456
(B) 4567
(C) 4789
(D) 5678
(E) 5184
A:
OK... Stream of consciousness: Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62
The answer is (E).