If a, b, c are consecutive positive integers and a<b<c, which of the following must be true?
I. a-c=-2
II. abc is an even integer
III. (a+b+c)/3 is an integer	Pick one: A) All are correct B) II C) I and II D) II and III E) None are correct
1. a-c=-2 --&gt; a, b, c are consequitive positive integers and a&lt;b&lt;c then c=a+2 --&gt; a-c=2. So this statement is always true;   2. abc is an even integer --&gt; out of any 3 consecutive integers at least one must be even thus abc=even. So this statement is also always true;   3. (a+b+c)/3 is an integer --&gt; the sum of odd number of consecutive integers is ALWAYS divisible by that odd number. So this statement is also always true. Or: (a+b+c)/3=(a+a+1+a+2)/3=(3a+3)/3=a+1=integer.   All are correctnswer: All are correct.
<result>A</result>
If a, b, c are consecutive positive integers and a<b<c, which of the following must be true?
I. a-c=-2
II. abc is an even integer
III. (a+b+c)/3 is an integer