If a, b, and c are integers and ab^2/c is a positive even integer, which of the following must be true?
I. ab is even
II. ab > 0
III. c is even Choose the correct choice from the following
A) l only  B) ll only  C) l and ll  D) l and lll  E) l,ll,and lll
Given: a, b, and c are integers and ab^2/c is a positive even integer.   Evaluate each option:   I. ab is even.   ab^2/c to be positive even integer ab^2 must be even, from which it follows that either a or b must be even, thus ab has to be even.   II. ab &gt; 0   Since b is squared in our expression, then we can say nothing about its sign, thus we cannot say whether ab is positive.   III. c is even   The easiest one: ab^2/c = integer/c = even --&gt; c could be even as well as odd.   l onlynswer: l only.
<result>A</result>
If a, b, and c are integers and ab^2/c is a positive even integer, which of the following must be true?
I. ab is even
II. ab > 0
III. c is even