CAT 2022 Number System Question (Medium)

Question

The largest 4 digit number that leaves the same remainder when divided by 2, 3, 4 and 5 is

Optima Learn · Accepted Answer

Understanding The problem asks for the largest four-digit number that leaves the same remainder when divided by each of 2, 3, 4, and 5. Analyzing The LCM of 2, 3, 4, and 5 is 60, so any multiple of 60 leaves remainder 0 on division by all four numbers. The largest four-digit multiple of 60 is 9960.

CAT 2022 Number System — Previous Year Question

CAT 2022

Quantitative

Number System

Medium

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