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AMC8 2027 - Self-practice Set 8 Question 7

AMC8 · AMC8 2027 - Self-practice Set 8

Question 7

Positive integers $m$, $n$ satisfy 11|(5 m+3 n). What is the remainder of 9 m+n modulo 11?
  1. 0
  2. 2
  3. 5
  4. 7
  5. 10