I have a few sweets to be distributed If I keep 2 3 or 4 in pack Iam left with one sweet If I keep 5...........

Logical Reasoning(Master ) Arithmetical Reasoning

I have a few sweets to be distributed. If I keep 2,3 or 4 in pack, Iam left with one sweet. If I keep 5 in a pack, Iam left with none. What is the minimum number of sweets I have to pack and distribute?

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Explanation:

Clearly, the required number would be such that it leaves a remainder of 1 when divided by 2,
3 or 4 and no remainder when divided by 5,
Such a number is 25.