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

Optima Learn · 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 Number System — Previous Year Question

CAT 2017

Quantitative

Number System

Medium

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