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2005 AMC 8 Question 8

AMC8 · 2005 AMC 8

Question 8

Suppose $m$ and $n$ are positive odd integers. Which of the following must also be an odd integer?
  1. $m + 3n$
  2. $3m - n$
  3. $3m^2 + 3n^2$
  4. $(nm + 3)^2$
  5. $3mn$