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KöMaL 2023 B5350

    a)a) Is it possible to find positive integers aa, bb, cc and dd such that the arithmetic mean of aa and bb is greater than the quadratic mean of cc and dd, however, the geometric mean of aa and bb is smaller than the harmonic mean of cc and dd? b)b) Is it possible to find positive integers aa, bb, cc and dd such that the geometric mean of aa and bb is greater than the quadratic mean of cc and dd, however, the arithmetic mean of aa and bb is smaller than the harmonic mean of cc and dd?

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