CAT 2018 Number System Question (Hard)

Question

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 TITA

Accepted Answer

Step 1 Let the three real numbers be a, b, and c. Ashok mistakenly took c 73 instead of c 37. So, 73ab 37ab 720 36ab 720 ab 720 36 20 Step 2 We are asked to find the minimum possible value of a b given ab 20. From the AM GM inequality a b 2 ab a b 2ab 40 Step 3 The minimum value of a b occurs when a

CAT 2018

Quantitative

Number System

Hard

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: [TITA]

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