If $x$ and $y$ are positive odd integers, then which of the following must also be an odd integer?

If $x$ and $y$ are positive odd integers, then which of the following must also be an odd integer?

I. $x^{y+1}$

II. $x(y+1)$

III. $(y+1)^{x-1}+1$

A. I only
B. II only
C. III only
D. I and III
E. None of the above

Answer: A

Source: Magoosh

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