Rationale: Since the man can go in 4 ways and can back in 3 ways. Therefore total number of ways are 4 x3 = 12ways.
The answer: (C)
Question: 4 buses runs between Chennai and Mysore. If a man goes from Chennai to Mysore by a bus and comes back to Mysore by another bus, then the total possible ways are
Options:
(A) 4
(B) 8
(C) 12
(D) 16
(E) None of these
Reasoning: P(at least one green) = 1 - P(no green, so 2 yellow) = 1- 2/5*1/4 = 9/10.
Ans: (B)
Question: In a bucket there are 3 green balls and 2 yellow balls. What is the probability of drawing at least one green ball when drawing two consecutive balls randomly?
Options:
(A) 16/20
(B) 9/10
(C) 2/5
(D) 3/5
(E) ½
Rationale: Speed = 90*(5/18) m/sec = 25 m/sec
Length of Train (Distance) = Speed * Time
(25) * 6 = 150 meter
The answer: (A)
Question: A train running at the speed of 90 km/hr crosses a pole in 6 seconds. Find the length of the train.
Options:
(A) 150 meter
(B) 100 meter
(C) 105 meter
(D) 120 meter
(E) 130 meter
Reasoning: Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 280 * 2/35 = 16 sec
Ans: (B)
Question: A train 280 m long, running with a speed of 63 km/hr will pass a tree in?
Options:
(A) 65 sec
(B) 16 sec
(C) 87 sec
(D) 99 sec
(E) 96 sec
Rationale: X * (85/100) = 85000
X = 1000 * 100
X = 100000
The answer: (C)
Question: 85% of the population of a city is 85000. The total population of the city is?
Options:
(A) 95000
(B) 97500
(C) 100000
(D) 105000
(E) 102500
Rationale: Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 510 + 140 = 650 m
Required time = 650 * 2/25 = 52 sec
The answer: (B)

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
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Question: A train 510 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
(B) 52
(C) 26
(D) 21
(E) 14