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Question

a, b and c are three integers. The sum of a and b is 61. If b is divided by a then the quotient is 2 and the remainder is 7. If cn - 2 is largest negative integer. Then which of the following values definitely lie within (cn - n + a) and (b - a).

A 23 Correct Answer Incorrect Answer
B 28 Correct Answer Incorrect Answer
C 27 Correct Answer Incorrect Answer
D 11 Correct Answer Incorrect Answer
E 15 Correct Answer Incorrect Answer

Solution

a + b = 61 ----(i) we know that, Dividend = Divisor x Quotient + Remainder here, dividend = b, divisor = a, quotient = 2 and remainder = 7 b = 2a + 7 ----(ii) solving equation i and ii, we get a = 18, b = 43 cn – 2 = -1 cn = 1 since, a, b and c are integers so n = 0 (cn - n + a) = 1 – 0 + 18 = 19 (b – a) = 43 – 18 = 25 23 lies between 19 and 25.

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