# Quantitative Aptitude – Number System – If the sum of squares of two numbers ## Slot -2 – Quantitative Aptitude – Number System – If the sum of squares of two numbers is 97

If the sum of squares of two numbers is 97, then which one of the following cannot be their product?
a) −32
b) 16
c) 48
d) 64

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
Option d) 64 is correct

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