q: Find the value of y from given equation: (12)^3 x 6^4 432 = y?
Options:
(A) 2345
(B) 2790
(C) 3490
(D) 7389
(E) 5184
a: Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62 The answer is (E).
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q: A train 150 m long running at 72 kmph crosses a platform in 25 sec. What is the length of the platform?
Options:
(A) 33
(B) 87
(C) 350
(D) 88
(E) 277
a: D = 72 * 5/18 = 25 = 500 150 = 350 The answer is (C).
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q: In Hockey game, one player throws two fair, six-sided die at the same time. If the player receives at least a five or a one on either die, that player wins. What is the probability that a player wins after playing the game once?
Options:
(A) 1/3
(B) 4/9
(C) 5/9
(D) 2/3
(E) 3/4
a: In Hockey game, Probably the easiest approach would be to find the probability of the opposite event and subtract it from 1:
P(win) = 1- P(not win) = 1 - 4/6*4/6 = 5/9. The answer is (C).
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q: X can finish a work in 36 days. Y can finish the same work in 24 days. Y worked for 12 days and left the job. how many days does X alone need to finish the remaining work?
Options:
(A) 12
(B) 13
(C) 16
(D) 17
(E) 18
a:
Work done by X in 1 day = 1/36
Work done by Y in 1 day = 1/24
Work done by Y in 12 days = 12/24 = 1/2
Remaining work = 1 1/2 = 1/2
Number of days in which X can finish the remaining work = (1/2) / (1/36) = 18 The answer is (E).
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