If x is the sum of six consecutive integers, the x is

AAPL wrote:Source: Manhattan GMAT

If x is the sum of six consecutive integers, then x is divisible by which of the following:

I. 3
II. 4
III. 6

A. I only
B. II only
C. III only
D. I and III
E. I, II, and III

The OA is A.

Let's test some possible values....

The six consecutive integers COULD be 1, 2, 3, 4, 5, 6
So, the SUM = 1 + 2 + 3 + 4 + 5 + 6 = 21
Now check the three statements....

I. 3
21 IS divisible by 3
So, statement 1 is TRUE.
ELIMINATE B and C

II. 4
21 is NOT divisible by 3
So, statement 1 is FALSE.
ELIMINATE E

III. 6
21 is NOT divisible by 6
So, statement 1 is FALSE.
ELIMINATE D

By the process of elimination, the correct answer must be A

Cheers,
Brent