q: Remainder of 2^47/47 ?
Options:
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
a: Stream of consciousness: (2^(47/46))/47 = 2^1/47 = 2 The answer is (A).
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q: What is the are of an equilateral triangle of side 18 cm?
Options:
(A) 663 cm2
(B) 743 cm2
(C) 813 cm2
(D) 645 cm2
(E) 143 cm2
a: Stream of consciousness: Area of an equilateral triangle = 3/4 S2
If S = 18, Area of triangle = 3/4 * 18 * 18 = 813 cm2; The answer is (C).
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q: In 2 bags, there are to be put together 5 red and 12 white balls, neither bag being empty. How must the balls be divided so as to give a person who draws 1 ball from either bag-
Options:
(A) 9/18
(B) 9/16
(C) 9/11
(D) 9/12
(E) 9/13
a:
Stream of consciousness: (1) Put 1 white in first bag, and all the remaining ball in second bag. Probability = 120+12516120+12516 = 532532
(2) To maximize, we put 1 red in the first bag, and all the remaining in the second. Probability = 121+12432121+12432 = 9/16 The answer is (B).
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