If x, y, and z are consecutive positive odd integers, not necessarily in that order, which of the following must be true? I. xy> z^4 II. (x + z)^4 > y III. x+y>z^4 Choose the correct option:	A) II only	B) I only	C) III only	D) I,II 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.   x+y&gt;z^4   Not necessarily true as 1+5&lt;2401   xz&gt;y^4   Not necessarily true as 1.7&lt;625   We don't need to check option as all the options except A can be discarded.   Thus II onlynswer II only
<result>A</result>
If x, y, and z are consecutive positive odd integers, not necessarily in that order, which of the following must be true? I. xy> z^4 II. (x + z)^4 > y III. x+y>z^4