# While multiplying three real numbers | Quantitative Aptitude Arithmetic | Number System |

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## CAT 2018 – Slot 1 - Number System - Question 3 - While multiplying three real numbers

Q. 3: 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

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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