If x, y, and z are consecutive odd integers, with x < y < z, then which of the following must be true?
I. x + y + z is odd
II. (x+z)/y is not an integer
III. xy/2 is not an integer	Choose one.
A) I only
B) II only
C) III only
D) I and II only
E) I, II, and III
consecutive odds are:   2x+1, 2x+3, 2x+5   I. 2x+1+2x+3+2x+5=6x+9=3(2x+3), 2x+3 is not divisible by 2 hence odd, odd * odd = odd Hence I is odd - TRUE   II. 2x+1+2x+5=4x+6/2x+3=2(2x+3)/2x+3=2, so integer - TRUE   III. (2x+1)*(2x+3)=4x^2+6x+2x+3=4x^2+8x+3=(4x(x+2)+3)/2 is not integer, so TRUI, II, and III   ANSWI, II, and IIIR: I, II, and III
<result>E</result>
If x, y, and z are consecutive odd integers, with x < y < z, then which of the following must be true?
I. x + y + z is odd
II. (x+z)/y is not an integer
III. xy/2 is not an integer