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

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by AAPL » Mon Aug 13, 2018 5:27 am

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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.
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by Brent@GMATPrepNow » Mon Aug 13, 2018 6:34 am
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
Brent Hanneson - Creator of GMATPrepNow.com
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by Jeff@TargetTestPrep » Sat Aug 18, 2018 6:41 pm
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
If we let the six consecutive integers be 1, 2, 3, 4, 5, and 6, then x = 21. We see that x is divisible only by 3, which eliminates Roman numerals II and III. Since there is no other option that excludes both II and III, the answer must be I only.

Answer: A

Jeffrey Miller
Head of GMAT Instruction
[email protected]

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