If x is the sum of six consecutive integers, then x is divisible by which of the following:
I. 3
II. 4
III. 6  Options:
A) I only	B) II only	C) III only	D) I and III	E) I, II, and III
let the six numbers be k-2, k-1, k, k+1, k+2, k+3   then, there sum will be 6k+3   3(2k+1),which is clearly a multiple of 3. Also, 2k+1 will always be odd. thus the sum will never be divisible by 2.   hence option I only
<result>A</result>
If x is the sum of six consecutive integers, then x is divisible by which of the following:
I. 3
II. 4
III. 6