CAT 2021 Number System Question (Medium)

Question

If n 1 X where X is the product of four consecutive positive integers, which of the following are true? 1. n is odd 2. n is prime 3. n is a perfect square.

Optima Learn · Accepted Answer

Understanding X is the product of four consecutive positive integers, and n 1 X. We need to determine which of three properties odd, prime, perfect square n necessarily has. Analyzing For four consecutive integers k, k 1, k 2, k 3, their product always satisfies k k 1 k 2 k 3 k 3k 1 - 1. So n 1 X k

CAT 2021 Number System — Previous Year Question

CAT 2021

Quantitative

Number System

Medium

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