If the sum of 6 consecutive integers is y, which of the following must be true?
I. y is an even number
II. y is an odd number
III. y is a multiple of 6  Choose the correct choice:
A) I only
B) II only
C) III and I only
D) I onlyII
E) II and III
I. If you start off with an even number, the sum (y) is even, and if you start off with an odd number the sum (y) is odd. Therefore this is not always true.   II. Same as above. This need not be always true.   III. Say, the first number is p. Then the sum of the five numbers = p + (p+1) + (p+2)...... + (p+4)   = 6p + 12 = 6 (p+2) =&gt; divisible by 6. There this must be true in all cases.   Therefore I onlyII is the answer.
<result>D</result>
If the sum of 6 consecutive integers is y, which of the following must be true?
I. y is an even number
II. y is an odd number
III. y is a multiple of 6