q: A certain number when divided by 45 leaves a remainder 31, what is the remainder if the same number be divided by 15?
Options:
(A) 13
(B) 11
(C) 9
(D) 1
(E) 3
a: Stream of consciousness: 45 + 31 = 76/15 = 1 (Remainder) The answer is (D).
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q: The length of a rectangle is increased by 15% and its breadth is decreased by 20%. What is the effect on its area?
Options:
(A) 1288
(B) 1299
(C) 1000
(D) 10000
(E) 9200
a: Stream of consciousness: 100 * 100 = 10000
115 * 80 = 9200 The answer is (E).
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q: A train 300 m long is running at a speed of 99 km/hr. In what time will it pass a bridge 195 m long?
Options:
(A) 17
(B) 18
(C) 19
(D) 20
(E) 21
a:

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.
user
Stream of consciousness: Speed = 99 * 5/18 = 55/2 m/sec
Total distance covered = 300 + 195 = 495 m
Required time = 495 * 2/55 = 18 sec The answer is (B).
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