Which one of the following gives an odd integer?
(A) $6^{2}$
(B) $23-17$
(C) $9 \times 24$
(D) $9 \times 41$
(E) $96 \div 8$
Which one of the following gives an odd integer?
(A) $6^{2}$
(B) $23-17$
(C) $9 \times 24$
(D) $9 \times 41$
(E) $96 \div 8$

Solution 1

We can calculate each of the answers directly.
(A) $6^{2}=36$
(B) $23-17=6$
(C) $9 \times 24=216$
(D) $9 \times 41=369$
(E) $96 \div 8=12$

## Solution 2

If we think in terms of even and odd integers we have the following:

(A) $($ even $)($ even $)=$ even

(B) odd - odd $=$ even

(C) (odd) (even) $=$ even

(D) (odd)(odd) $=$ odd

(E) $($ even $) \div($ even $)=$ even or odd - the result must be calculated.

ANSWER: (D)