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HMMT November 2019 H4

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To celebrate 2019, Faraz gets four sandwiches shaped in the digits 2, 0, 1, and 9 at lunch. However, the four digits get reordered (but not flipped or rotated) on his plate and he notices that they form a 4-digit multiple of 7 . What is the greatest possible number that could have been formed?

Dataset text NuminaMath olympiads. Quoted with source.

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1092

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