CAT 2017 Number System Question (Medium)

Question

If the product of three consecutive positive integers is 15600 then the sum of the squares of these integers is

Accepted Answer

Let the numbers be n - 1, quad n, quad n 1 Their product n - 1 cdot n cdot n 1 15600 n n 2 - 1 15600 n 3 - n 15600 We ll now try to estimate . --- Step 1 Estimate Let s approximate n approx sqrt 3 15600 approx 25.4 So is around 25. Let s check Try 24 cdot 25 cdot 26 24 cdot 25 cdot 26 Compute step-b

CAT 2017

Quantitative

Number System

Medium

If the product of three consecutive positive integers is 15600 then the sum of the squares of these integers is

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