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AMO 2027 Grades 8-9 SET 14 - Self-study Question 2

AMO · AMO 2027 Grades 8-9 SET 14 - Self-study

Question 2

Question 8. If $n$ and $m$ are integers and $n^2+m^2$ is even, which of the following is impossible?
  1. $n$ and $m$ are even
  2. $n$ and $m$ are odd
  3. $n+m$ is even
  4. $n+m$ is odd
  5. None of the above