If |x – 9/2| = 5/2, and if y is the median of a set of p consecutive integers, where p is odd, which of the following must be true?
I. xyp is odd
II. xy(p^2 + p) is even
III. x^2y^2p^2 is even
Choose the correct choice from the following answers
A) II only B) III only C) I and III D) II and III E) I, II, and III
x is in range of 2 and 7 so it can be even or odd   y is median of set of odd integers so it can be even or odd   p is given as odd   using above information only II for sure can be inferred as even.   other two, either can be even or odd   correct response is II only.
<result>A</result>
If |x – 9/2| = 5/2, and if y is the median of a set of p consecutive integers, where p is odd, which of the following must be true?
I. xyp is odd
II. xy(p^2 + p) is even
III. x^2y^2p^2 is even