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

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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