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 even
II. (x+y)/z is an integer
III. xz is even Options.
A) I only
B) II only
C) III only
D) I and II only
E) None of the above
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 - NOT TRUE   II. 2x+1+2x+3=4x+4/2x+5=2(2x+2)/(2x+5)=Not an integer, so NOT TRUE   III. (2x+1)*(2x+5)=4x^2+10x+2x+5=4x^2+12x+5=(2x(x+6)+5)/2 is not integer, so NOT TRUNone of the above   ANSWNone of the aboveR:None of the above
<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 even
II. (x+y)/z is an integer
III. xz is even