Carcass wrote:
If G is an even integer, which of the following must be an odd integer?
(A) \(3G + 2 \)
(B) \(G^2\)
(C) \(\frac{G}{2} \)
(D) \((G - 3)^2 \)
(E) \(5G + 2\)
Let's plug in a nice even value for G.
The easiest will be G = 0.
We get:
(A) \(3(0) + 2 = 2 \).
No good; we want an ODD value. (B) \(0^2 = 0\).
No good; we want an ODD value. (C) \(\frac{0}{2} = 0 \).
No good; we want an ODD value. (D) \((0 - 3)^2 = 9\)
Perfect!(E) \(5(0) + 2 = 2\).
No good; we want an ODD value. Answer: D