SAT Math Practice Question #21880 - SATify | SATify

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SAT Math Practice Question #21880 - SATify | SATify

#21880

number theory

parity

medium

90 sec

If $n, m,$ and $k$ are integers such that $n + m + k$ is odd, which of the following is impossible?

A.

$n, m, k$ are all odd

B.

One of $n, m, k$ is odd and two are even

C.

$n \cdot m \cdot k$ is even

D.

$n + m$ is odd

E.

$n^{2} + m^{2} + k^{2}$ is even