If x and y are positive odd integers, then which of the following must also be a...【小站备考】

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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

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