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TR-MO-R1 2020 Problem 10

    m,nm, n ve kk pozitif tam sayılar olmak üzere, mm sayısının nn ile bölümünden kalan kk dir. Ayrıca mm sayısı 28 ile bölündüğünde kalan 27, bölüm ise nn dir. Buna göre, kk nin alabileceği kaç farklı değer vardır?

    a) 4 b) 7 c) 10 d) 14 e) 27

    Official text Turkish Mathematical Olympiad, first round 2020 official paper, page 6. Quoted with source.

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