q: A train 210 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) 49 sec
(E) 28 sec
a: Stream of consciousness: Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 210 + 140 = 350 m
Required time = 350 * 2/25 = 28 sec The answer is (E).

question: If six persons sit in a row, then the probability that three particular persons are always together is
Options:
(A) 1/20
(B) 3/10
(C) 1/5
(D) 4/5
(E) 2/5
answer: 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).

q: Calculate the speed of a boat in still water (in km/hr) if in one hour, the boat goes 13 km/hr downstream and 10 km/hr upstream.
Options:
(A) 3 kmph
(B) 9 kmph
(C) 4 kmph
(D) 8 kmph
(E) 6 kmph
a: Stream of consciousness: Speed in still water = (13 + 5)1/2 kmph = 9 kmph. The answer is (B).

question: A traveller makes 3/4 of his journey by train and 2/3 of the rest by car. If he walks the remaining 12 Kms, the total distance traveled by him is
Options:
(A) 124 Kms
(B) 134 Kms
(C) 144 Kms
(D) 244 Kms
(E) None of the above
answer: Stream of consciousness: (1-(3/4))(1-(2/3)of distance = 12 km
(1/12) of distance = 12 km
Hence distance = 144 km The answer is (C).

q: Count the numbers between 10 - 99 which yield a remainder of 3 when divided by 9 and also yield a remainder of 2 when divided by 5?
Options:
(A) Two
(B) Five
(C) Six
(D) Four
(E) One
a: Stream of consciousness: Answer = A) Two
Numbers between 10 - 99 giving remainder 3 when divided by 9 = 12, 21, 30, 39, 48, 57, 66, 75, 84, 93
The Numbers giving remainder 2 when divided by 5 = 12, 57 = 2 The answer is (A).

q: How much is 55% of 40 is greater than 4/5 of 25?
Options:
(A) 29
(B) 776
(C) 2
(D) 12
(E) 99
a:
Stream of consciousness: (55/100) * 40 (4/5) * 25
22 - 20 = 2 The answer is (C).