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HMMT November 2011 U23

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Let N=5AB37C2‾N=\overline{5 A B 37 C 2}, where A,B,CA, B, C are digits between 0 and 9 , inclusive, and NN is a 7 -digit positive integer. If NN is divisible by 792 , determine all possible ordered triples (A,B,C)(A, B, C).

Dataset text NuminaMath olympiads. Quoted with source.

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(0,5,5),(4,5,1),(6,4,9)

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