SAT Math Practice Question #22739 - SATify | SATify

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SAT Math Practice Question #22739 - SATify | SATify

#22739

parity

number theory

medium

90 sec

If $n$ and $m$ are integers and $n^{2} - m^{2}$ is even, which of the following must be true?

A.

$n$ is even and $m$ is odd

B.

$n + m$ is odd

C.

$nm$ is odd

D.

$n$ and $m$ have the same parity

E.

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