2014 AMC 8 Problems/Problem 13

If $n$ and $m$ are integers and $n^2+m^2$ is even, which of the following is impossible?

$\textbf{(A) }n and m are even \qquad\textbf{(B) }n and m are odd \qquad\textbf{(C) }n+m is even \qquad\textbf{(D) }n+m is odd \qquad \textbf{(E) } none of these are impossible$

2014 AMC 8 (Problems • Answer Key • Resources)
Preceded by Problem 12	Followed by Problem 14
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All AJHSME/AMC 8 Problems and Solutions

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2014 AMC 8 Problems/Problem 13

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