q: An accurate clock shows 8 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?
Options:
(A) 180
(B) 345
(C) 234
(D) 488
(E) 234
a: Stream of consciousness: Angle traced by the hour hand in 6 hours = (360)/12x 6 = 180. The answer is (A).
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q: A pipe can fill a tank in 16 hours. Due to a leak in the bottom,it is filled in 24 hours. If the tank is full, how much time will the leak take to empty it ?
Options:
(A) 12 hrs
(B) 24 hrs
(C) 36 hrs
(D) 48 hrs
(E) 42 hrs
a: Stream of consciousness: Time taken by leak to empty tank = 1/(1/16-1/24) = 48 hrs The answer is (D).
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q: Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is
Options:
(A) 5/54
(B) 5/12
(C) 5/17
(D) 5/18
(E) 5/14
a:
Stream of consciousness: Using question number 11 and 12, we get the probability as
1 - (1/36 + 5/9) = 5/12 The answer is (B).
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