olymmath

HMMT 2006 E10

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A positive integer nn is called "flippant" if nn does not end in 0 (when written in decimal notation) and, moreover, nn and the number obtained by reversing the digits of nn are both divisible by 7 . How many flippant integers are there between 10 and 1000 ?

Dataset text NuminaMath olympiads. Quoted with source.

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