If a , b, and c are integers and a∗b2/ca∗b2/cis 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 option:
A) l
B) ll only
C) l and ll
D) l and lll
E) l,ll,and lll
Given: a∗b2c=even&gt;0a∗b2c=even&gt;0 --&gt; ab2=c∗even=evenab2=c∗even=even --&gt; either aa is even or bb or both.   I. abab is even --&gt; according to the above this must be true;   II. ab&gt;0ab&gt;0 --&gt; not necessarily true, bb could be positive as well as negative (for example a=1a=1, c=1c=1 and b=−2b=−2);   III. cc is even --&gt; not necessarily true, see above example.   lnswer: l (I only).
<result>A</result>
If a , b, and c are integers and a∗b2/ca∗b2/cis a positive even integer, which of the following must
be true?
I. ab is even
II. ab > 0
III. c is even