question: A train 310 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Options:
(A) 40 sec
(B) 50 sec
(C) 44 sec
(D) 36 sec
(E) 60 sec
answer: Stream of consciousness: Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 310 + 140 = 450 m
Required time = 450 * 2/25 = 36 sec The answer is (D).

q: Find the third proportional to 2 and 10?
Options:
(A) 10
(B) 12
(C) 16
(D) 19
(E) 50
a: Stream of consciousness: Formula = Third proportional = (b b)/a
A = 2 and B = 10
(10 10)/ 2 = 100/2 = 50 The answer is (E).

question: A pipe can fill a cistern in 20 minutes whereas the cistern when fill can be emptied by a leak in 28 minutes. When both pipes are opened, find when the cistern will be full?
Options:
(A) 22 minutes
(B) 88 minutes
(C) 70 minutes
(D) 77 minutes
(E) 48 minutes
answer: Stream of consciousness: 1/20 - 1/28 = 1/70
70 minutes The answer is (C).

q: A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 30 as remainder. Find the no. is?
Options:
(A) 234354
(B) 243435
(C) 243445
(D) 245667
(E) 220030
a: Stream of consciousness: (555 + 445) * 2 * 110 + 30 = 220000 + 30 = 220030 The answer is (E).

question: In what time a sum of money double itself at 3% per annum simple interest?
Options:
(A) 36 1/3%
(B) 33 1/3%
(C) 33 1/6%
(D) 63 1/3%
(E) 23 1/3%
answer: Stream of consciousness: P = (P*3*R)/100
R = 33 1/3% The answer is (B).

question: If 1/2 of the air in a tank is removed with each stroke of a vacuum pump, what fraction of the original amount of air has been removed after 5 strokes ?
Options:
(A) 31/32
(B) 7/8
(C) 1/4
(D) 1/8
(E) 1/16
answer:
Stream of consciousness: Left After 1st stroke = 1/2
Left After 2nd stroke = 1/2 * 1/2 = 1/4
Left After 3rd stroke = 1/2 * 1/4 = 1/8
Left After 4th stroke = 1/2 * 1/8 = 1/16
Left After 5th stroke = 1/2 * 1/16 = 1/32
So removed = 1- 1/32 = 31/32 The answer is (A).