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One Short

Stage: 3 Short Challenge Level: Challenge Level:2 Challenge Level:2

A positive whole number less than $100$ has remainder $2$ when it is divided by $3$, remainder $3$ when it is divided by $4$ and remainder $4$ when it is divided by $5$. What is its remainder when it is divided by $7$?

If you liked this problem, here is an NRICH task that challenges you to use similar mathematical ideas.

This problem is taken from the UKMT Mathematical Challenges.
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