Number theory · Division with remainder · Quotient and remainder · Multiples · Bounds

Problem 3, 2022

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What is the largest natural number \(n\) with the property that, when \(n\) is divided by \(20\), the remainder is equal to the quotient?

  1. A \(21\)
  2. B \(92\)
  3. C \(231\)
  4. D \(399\)
  5. E \(440\)

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Slovenian High School Mathematics Competition for Vega Awards (MaSSA), drzavno (national) round 2022, 1. letnik, category A, problem A3. Organized by DMFA Slovenije (Society of Mathematicians, Physicists and Astronomers of Slovenia). Source