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If the sum of squares of two numbers | Quantitative Aptitude – Number System

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The question below is from previous year CAT question from CAT 2018 exam comes from CAT Number System – If the sum of squares of two numbers…. Find out by answering this question which tests an aspirant’s Quantitative Ability Skills:

CAT 2018 – Slot -2 - Question 4 - If the sum of squares of two numbers

Q. 4: If the sum of squares of two numbers is 97, then which one of the following cannot be their product?

1. −32
2.  48
3.  64
4.  16

Solution: let numbers are a and b.

Given, a^2+b^2=97

Using A.M.≥G.M

(a^2+b^2)/2 ≥ (a^2 b^2 )^(1/2)=ab

ab ≤ 97/2 = 48.5

Thus product of numbers can not be greater than 48.5

Correct Answer: 64

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