When $n=101$, which of the following expressions has an even value?
(A) $3 n$
(B) $n+2$
(C) $n-12$
(D) $2 n-2$
(E) $3 n+2$
When $n=101$ :

$$
\begin{aligned}
3 n & =3 \times 101=303 \\
n+2 & =101+2=103 \\
n-12 & =101-12=89 \\
2 n-2 & =2 \times 101-2=202-2=200 \\
3 n+2 & =3 \times 101+2=303+2=305
\end{aligned}
$$

Of the expressions given, $2 n-2$ is the only expression which has an even value when $n=101$. (In fact, the value of $2 n-2$ is an even integer for every integer $n$. Can you see why?)

ANSWER: (D)