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TR-MO-R1 2021 Problem 18

    aa, bb, cc ve kk pozitif tam sayılar olmak üzere, a+b+c=939a+b+c=939 ve a⋅b⋅ca\cdot b\cdot c sayısı 10k10^k ile tam bölünüyorsa, kk en fazla kaç olabilir?

    a) 5 b) 6 c) 7 d) 8 e) 9

    Official text Turkish Mathematical Olympiad, first round 2021 official paper, page 10. Quoted with source.

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