question: How long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 140 m in length?
Options:
(A) 16.5
(B) 16.0
(C) 15
(D) 16.8
(E) 16.1
answer: Stream of consciousness: D = 110 + 140 = 250 m
S = 60 * 5/18 = 50/3
T = 250 * 3/50 = 15 se The answer is (C).

q: If six persons sit in a row, then the probability that three particular persons are always together is?
Options:
(A) 1/6
(B) 1/3
(C) 1/5
(D) 1/1
(E) 1/2
a: Stream of consciousness: Six persons can be arranged in a row in 6! ways. Treat the three persons to sit together as one unit then there four persons and they can be arranged in 4! ways. Again three persons can be arranged among them selves in 3! ways. Favourable outcomes = 3!4! Required probability = 3!4!/6! = 1/5 The answer is (C).

question: A train 350 m long, running with a speed of 63 km/hr will pass a tree in?
Options:
(A) 15 sec
(B) 16 sec
(C) 18 sec
(D) 20 sec
(E) 25 sec
answer: Stream of consciousness: Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 350 * 2/35 = 20 sec The answer is (D).

q: In what time will a railway train 60 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Options:
(A) 3
(B) 4
(C) 5
(D) 6
(E) 7
a: Stream of consciousness: T = 60/36 * 18/5 = 6 sec The answer is (D).

question: Which of the following is a prime number ?
Options:
(A) 33
(B) 81
(C) 97
(D) 93
(E) none
answer: Stream of consciousness: Clearly, 97 is a prime number The answer is (C).

question: (4300731)-! = 2535618. Find value of !?
Options:
(A) 1213441
(B) 2354546
(C) 4354556
(D) 2435454
(E) 1765113
answer:
Stream of consciousness: Let 4300731 - ! = 2535618
Then !, = 4300731 - 2535618 = 1765113 The answer is (E).