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Weekly Problem 39 - 2014

Stage: 3 and 4 Challenge Level: Challenge Level:1

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 $7$?

This problem is taken from the UKMT Mathematical Challenges.

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