question: A small company employs 3 men and 5 women. If a team of 3 employees is to be randomly selected to organize the company retreat, what is the probability that the team will have exactly 2 women?
Options:
(A) 1/14
(B) 1/7
(C) 2/7
(D) 5/7
(E) 1/2
answer: Stream of consciousness: Total ways to choose 4 employees from 8 employees = 8C3
Two women = 5C2
Two Men = 3C1
P = (5C2 * 3C1)/8C2 = 5/7 hence The answer is (D).
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question: In a school of 850 boys, 44% of Muslims, 14% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?
Options:
(A) A) 125
(B) B) 627
(C) C) 153
(D) D) 721
(E) E) 272
answer: Stream of consciousness: 44 + 14 + 10 = 68%
100 68 = 32%
850 * 32/100 = 272 The answer is (E).
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question: The measure of the side of a square is multiplied by 7. If x represents the perimeter of the original square, what is the value of the new perimeter?
Options:
(A) 3x
(B) 4x
(C) 7x
(D) 12x
(E) 27x
answer: Stream of consciousness: Original perimeter = x
Hence original side = x/4
New side = 7x/4
New perimeter = 4*7x/4 = 7x The answer is (C).
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question: The compound ratio of 2/3, 6/7, 1/3 and 3/8 is given by?
Options:
(A) 7/98
(B) 1/48
(C) 1/98
(D) 1/96
(E) 3/42
answer:
Stream of consciousness: 2/3 * 6/7 * 1/3 * 3/8 = 36/504 = 3/42 The answer is (E).
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