q: If n is an integer, then the least possible value of |35 - 6n| is?
Options:
(A) 2
(B) 3
(C) 5
(D) 0
(E) 1
a: |35 - 6n| represents the distance between 35 and 6n on the number line. Now, the distance will be minimized when 6n, which is multiple of 6, is closest to 35. Multiple of 6 which is closest to 35 is 36 (for n = 6), so the least distance is 1: |35 - 36| = 1. The answer is (E).
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q: The average of first 12 even numbers is?
Options:
(A) 19
(B) 18
(C) 16
(D) 13
(E) 17
a: Sum of 12 even numbers = 12 * 13 = 156
Average = 156/12 = 13 The answer is (D).
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q: 100 white and black tiles will be used to form a 20x20 square pattern. If there must be at least one black tile in every row and at least one white tile in every column, what is the maximum difference between the number of black and white tiles that can be used?
Options:
(A) 75
(B) 80
(C) 85
(D) 70
(E) 95
a: Answer = D
Please refer diagram below
80 - 10 = 70 The answer is (D).
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q: 10 men can complete a piece of work in 15 days and 15 women can complete the same work in 12 days. If all the 10 men and 15 women work together, in how many days will the work get completed?
Options:
(A) 6
(B) 7 23
(C) 6 23
(D) 6 13
(E) None of these
a:
10 men + 15 women in 1 day do 115 + 112 = 960 work
\ Time taken = 609 days = 623 days The answer is (C).
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