If |x – 9/2| = 5/2, and if y is the median of a set of u consecutive integers, where u is odd, which of the following must be true?
I. xyu is odd
II. xy(u^2 + u) is even
III. x^2y^2u^2 is even
Choose the most appropriate option
A) II only is true  B) III only is true  C) I and III  D) II and III  E) I, II, and III
given:   u is Odd   y is the median of odd numbers, hence y is Odd   x = solving the modulus you get 7 and 2. Hence x is Even or Odd   Therefore: u = O, y = O and x = O or E   Statement I = x*y*u = y*u*x = O x O x O/E = O x O/E = Odd or even. So False   Statement II = xy(u^2 + u) = O/E x O (O + O) = O/E x O(E) = O/E x E = Always Even. So true   Statement III. x^2y^2u^2 is even. E/O x O x O = Odd or even. Hence False.   II only is truenswer = II only is true.
<result>A</result>
If |x – 9/2| = 5/2, and if y is the median of a set of u consecutive integers, where u is odd, which of the following must be true?
I. xyu is odd
II. xy(u^2 + u) is even
III. x^2y^2u^2 is even