If x, y, and z are consecutive odd integers, with x < y < z, then which of the following must be true?
I. y + z is odd
II. (x+z)/y is an integer
III. xz is not an integer  Answers.
A) I only	B) II only	C) III only	D) II and III only	E) I, II, and III
consecutive odds are:   2x+1, 2x+3, 2x+5   I. 2x+3+2x+5=4x+8=4(x+1), so divisible by 2 and even - NOT TRUE   II. 2x+1+2x+5=4x+6/2x+3=2(2x+3)/2x+3=2, so integer - TRUE   III. (2x+1)*(2x+5)=4x^2+10x+2x+5=4x^2+12x+5=(2x(x+6)+5)/2 is not integer, so TRUE   ANSWER: II and III only
<result>D</result>
If x, y, and z are consecutive odd integers, with x < y < z, then which of the following must be true?
I. y + z is odd
II. (x+z)/y is an integer
III. xz is not an integer