CAT 2018 Number System Question (Medium)

Question

If and are positive integers such that and is an integral multiple of , then the largest possible is

Accepted Answer

Given Information We have two positive integers, and , such that 1. 2. is an integral multiple of . We need to find the largest possible value of . Step-by-Step Solution 1. Determine Since , we can express this as . Therefore, because must be a positive integer and . 2. Evaluate Substitute into the

CAT 2018

Quantitative

Number System

Medium

If $N$ and $x$ are positive integers such that $N \times N = 2^{160}$ and $N^2 + 2N$ is an integral multiple of $2^x$ , then the largest possible $x$ is

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