q: Which of the following numbers is divisible by each one of 3, 7, 9 and 11?
Options:
(A) 639
(B) 2079
(C) 3791
(D) 37911
(E) None of these
a: 639 is not divisible by 7;
2079 is divisible by each one of 3, 7, 9, 11. The answer is (B).
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q: Solve:-
555 x 555 x 555 + 555 x 555 x 555 = ?(555 x 555 - 555 x 555 + 555 x 555)
Options:
(A) 888
(B) 333
(C) 555
(D) 988
(E) 1110
a: Given Exp. = (a3 + b3) = (a + b) = (555 + 555) = 1110(a2 - ab + b2) The answer is (E).
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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) 5/16
(B) 5/12
(C) 5/19
(D) 5/17
(E) 5/15
a: 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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q: P and Q invested in a shop. The profits were divided in the ratio of 2 : 4 respectively. If P invested Rs. 500000, the amount invested by Q is:
Options:
(A) 5000000
(B) 4000000
(C) 1000000
(D) 6000000
(E) None
a:
Suppose Q invested Rs. y. Then, 500000/y = 2/4 or y = [500000 x 4 / 2] = 1000000. The answer is (C).
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