Question

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

• A. $25$
• B. $37$
• C. $54$
• D. $65$

Answer 1

Answer: (A)

$25$

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 $25$.
65 can also be the number but since, $25$ is less than $65.$
Hence, $25$ is the answer.