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.
If x is the sum of six consecutive integers, the x is
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- Brent@GMATPrepNow
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Let's test some possible values....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.
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
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- Jeff@TargetTestPrep
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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.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
Answer: A
Jeffrey Miller
Head of GMAT Instruction
[email protected]
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