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
Select the correct option: A) I only B) II only C) III only D) I and III E) None of the above
I. x^(y+1)&gt;&gt; (odd)^even=odd   II. x(y+1)&gt;&gt;(odd)*even=even   III. (y+1)^(x-1) + 1&gt;&gt;(even)^even+1&gt;&gt;even+1&gt;&gt; odd if x is not equal to 1 and if x=1 then its (even)^0+1=1+!=2 even.   answer I only
<result>A</result>
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