If x, y, and z are consecutive positive odd integers, not necessarily in that order, which of the following must be true?
I. (x + z)^2 > y
II. yz > x
III. x+y>z  Answers:
A) III only
B) II only
C) II,III only
D) I only
E) I,III only
Lets suppose that a,b,c can take any one of following three value 1,5,7. Most important point is that the options MUST BE TRUE under any condition.   III) x+y&gt;z   Not necessarily true as 1+5&lt;7   II) yz&gt;x   Not necessarily true as 5.7&lt;1   I) We don't need to check option as all the options except D can be discarded.   Thus Answer I only
<result>D</result>
If x, y, and z are consecutive positive odd integers, not necessarily in that order, which of the following must be true?
I. (x + z)^2 > y
II. yz > x
III. x+y>z