# Quantitative Aptitude – Arithmetic – Number System – While multiplying three real numbers ## Slot -1 – Quantitative Aptitude – Arithmetic – Number System – While multiplying three real numbers

While multiplying three real numbers, Ashok took one of the numbers as 73 instead of 37. As a result, the product went up by 720. Then the minimum possible value of the sum of squares of the other two numbers is?

Solution: Let the other two numbers are a & b so
73ab – 37ab = 720
Or 36ab = 720
ab = 20
using A.M.≥G.M
(a^2+b^2)/2 ≥(a^2 b^2 )^(1/2)=ab
(a^2+b^2) ≥2ab=40
So minimum required value = 40

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