CAT 2017 Ratio, Proportion and Variation Question (Medium)

Question

If a, b, c are three positive integers such that a and b are in the ratio 3 4 while b and c are in the ratio 2 1, then which one of the following is a possible value of a b c ?

Accepted Answer

Given a, b, c are positive integers with ratios and . Goal Determine which option can be the value of . Step-by-step solution 1. From we can write and for some positive integer . 2. From we can write and for some positive integer . 3. Equate the two expressions for . 4. Substitute into to get . Thus

CAT 2017

Quantitative

Ratio, Proportion and Variation

Medium

If a, b, c are three positive integers such that a and b are in the ratio 3 : 4 while b and c are in the ratio 2 : 1, then which one of the following is a possible value of (a + b + c) ?

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