SAT Math Practice Question #3633 - SATify | SATify

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SAT Math Practice Question #3633 - SATify | SATify

#3633

parity

number theory

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.

$n + m$ is odd

C.

$nm$ is even

D.

$n$ and $m$ are both odd

E.

$n^{2} + m^{2}$ is odd