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IMAS 2012 — Upper Primary Grades 5–6 — Round 1 Question 24

IMAS · IMAS 2012 — Upper Primary Grades 5–6 — Round 1

Question 24

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 $(11\odot x)\odot11=2$, what is the minimum value of $x$?