Number theory · Divisibility rules · Digit sums · Arithmetic mod 9

Problem 1, 2014

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RegionalEnter the answer

One digit of the seven-digit number \(2345678\) is to be deleted, so that the six-digit number left behind is divisible by \(9\). Which digit must it be?

  1. A \(8\)
  2. B \(7\)
  3. C \(6\)
  4. D \(5\)
  5. E \(4\)

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Slovenian High School Mathematics Competition for Vega Awards (MaSSA), regijsko (regional) round 2014, 1. letnik, category A, problem A1. Organized by DMFA Slovenije (Society of Mathematicians, Physicists and Astronomers of Slovenia). Source