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If n is the product of 3 consecutive integers, which of the following

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If n is the product of 3 consecutive integers, which of the following [#permalink]

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New post 28 Apr 2017, 00:36
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A
B
C
D
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If n is the product of 3 consecutive integers, which of the following must be true?

I. a multiple of 2 II. a multiple of 3 III. a multiple of 4

A. I only
B. II only
C. III only
D. I and II only
E. II and III only
[Reveal] Spoiler: OA

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If n is the product of 3 consecutive integers, which of the following [#permalink]

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New post 28 Apr 2017, 00:57
D. Whatever the numbers, 3 consecutive number will definitely be divisible by 2 and 3.

Take some examples 5,6,7.
Their product 210 is divisible by both 2 and 3.
Example 7,8,9 product 504 is divisible by 2,3 and 4

Though in this case with the answers available this is the correct choice, however if the 3 consecutive numbers are -1,0,1
their product will not be divisible by either 2,3 or 4. So if any other option (None of the above) is available, that will be the answer
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Re: If n is the product of 3 consecutive integers, which of the following [#permalink]

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New post 28 Apr 2017, 01:35
MathRevolution wrote:
If n is the product of 3 consecutive integers, which of the following must be true?

I. a multiple of 2 II. a multiple of 3 III. a multiple of 4

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


You've posted this question before (twice):
https://gmatclub.com/forum/if-n-is-the- ... 36569.html
https://gmatclub.com/forum/if-n-is-the- ... 29066.html
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Re: If n is the product of 3 consecutive integers, which of the following   [#permalink] 28 Apr 2017, 01:35
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If n is the product of 3 consecutive integers, which of the following

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