SAT Math Practice Question #21878 - SATify | SATify

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SAT Math Practice Question #21878 - SATify | SATify

#21878

number theory

parity

medium

90 sec

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

A.

$n$ is even and $m$ is odd

B.

$n$ is odd and $m$ is even

C.

$n + m$ is odd

D.

$n \cdot m$ is even

E.

$n$ and $m$ have the same parity