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IMAS 2012 Junior First Round Question 17

IMAS · IMAS 2012 Junior First Round

Question 17

For any positive integers $a$ and $b$, define a new operation $a\odot b$ which yields the remainder when the larger of $a$ and $b$ is divided by the smaller one. For example, $5\odot12=12\odot5=2$. Given that $(19\odot x)\odot19=5$, what value below is not possible for $x$?
  1. 12
  2. 26
  3. 33
  4. 39
  5. 45