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MathNet 2011 Question 84

Math Olympiad Vault · MathNet 2011

Question 84

Let $N=\overline{5 A B 37 C 2}$, where $A, B, C$ are digits between $0$ and $9$, inclusive, and $N$ is a $7$-digit positive integer. If $N$ is divisible by $792$, determine all possible ordered triples $(A, B, C)$.