A pile of stones can be evenly divided into groups of 21 without any remainder. However, when the stones are grouped into sets of 16, 20, 25, or 45, there are always 3 stones left over. What is the smallest possible number of stones in the pile?

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Subject: Problems on L.C.M and H.C.Fmathematics-mcqs › problems-on-l-c-m-and-h-c-f
Published: 12 Jul 2019
Last updated: 28 May 2026

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Explanation

The correct answer is 7203. This number is divisible by 21 with no remainder, and when divided by 16, 20, 25, or 45, it leaves a remainder of 3. The other options do not satisfy all these conditions.

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A pile of stones can be evenly divided into groups of 21 without any remainder. However, when the stones are grouped into sets of 16, 20, 25, or 45, there are always 3 stones left over. What is the smallest possible number of stones in the pile?

Explanation

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