CAT 2017 Ratio, Proportion and Variation Question (Medium)

Question

If and are integers of opposite signs such that and , then the ratio is

Accepted Answer

Let us consider the two ratios given to us. For ------- 1 Similarly, we can say that, , ------ 2 From 1 , we can say that, , So ------- 3 Or, ------- 4 Substitute 3 in 2 or or or or Both these cases are not possible since and are said to be of opposite signs. Let s try condition 4 . Substitute 4 in

CAT 2017

Quantitative

Ratio, Proportion and Variation

Medium

If $a$ and $b$ are integers of opposite signs such that $(a + 3)^2 : b^2 = 9 : 1$ and $(a - 1)^2 : (b - 1)^2 = 4 : 1$ , then the ratio $a^2 : b^2$ is:

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