CAT 2018 Number System Question (Medium)

Question

If the sum of squares of two numbers is 97, then which one of the following cannot be their product?

Accepted Answer

Step 1 Let the two numbers be and . We are given We want to find which value cannot be the product . Step 2 Use identity For real and , must be a perfect square. Step 3 Check each option - perfect square - not a perfect square - not a perfect square - not a perfect square Only gives a perfect square

CAT 2018

Quantitative

Number System

Medium

$If the sum of squares of two numbers is 97, then which one of the following cannot be their product?$

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