If a, b, c are consecutive positive integers and a<b<c, which of the following must be true?
I. c-a=2
II. -abc is positive integer
III. (a+b+c)/3 is an integer Choose the correct choice from the following options:
A) I & III only  B) II  C) I and II  D) II and III  E) I, II and III
If a, b, c are consequitive positive integers and a&lt;b&lt;c, which of the following must be true?   1. c-a=2   2. abc is an even integer   3. (a+b+c) /3 is an integer   1.   a=a   b=a+1   c=a+2   c-a=a+2-a=2.   Correct   2. -abc is positive integer.   positive * negative = negative   False.   3. (a+b+c) /3 is an integer   Again;   a=a   b=a+1   c=a+2   a+b+c=(a+a+1+a+2)=3a+3   3a is always divisible by 3   3 is divisible by 3.   Thus3a+3is also divisible by 3.   Rule:   if integer x is divisible by n   and   integer y is divisible by n   then; x+y must be divisible by n   Correct.   I &amp; III onlyns :I &amp; III only( + +1+ +2)= 
<gadget id="calculator">( + +1+ +2)</gadget>
<output>3</output>
3a+3   3a is always divisible by 3   3 is divisible by 3.   Thus3a+3is also divisible by 3.   Rule:   if integer x is divisible by n   and   integer y is divisible by n   then; x+y must be divisible by n   Correct.   I &amp; III onlyns :I &amp; III only
<result>A</result>
If a, b, c are consecutive positive integers and a<b<c, which of the following must be true?
I. c-a=2
II. -abc is positive integer
III. (a+b+c)/3 is an integer