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If n is an integer, is n/11 an integer? (1) 7n/11 is an integer.

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If n is an integer, is n/11 an integer? (1) 7n/11 is an integer.  [#permalink]

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New post 25 Sep 2018, 05:30
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A
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D
E

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  15% (low)

Question Stats:

91% (00:41) correct 9% (00:56) wrong based on 37 sessions

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GPA: 3.68
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If n is an integer, is n/11 an integer? (1) 7n/11 is an integer.  [#permalink]

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New post 25 Sep 2018, 06:07
Bunuel wrote:
If n is an integer, is n/11 an integer?


(1) 7n/11 is an integer.

(2) 3n/11 is an integer



n is a integer.

question : n/11 = integer ?

Statement 1: 7n / 11= intege. 7 is a prime and not divisible by 11. in order to make 7n/11 integer, n has to be the multiple of 11. Sufficient.

Statement 2 : 3n / 11 = integer. same as 1. Sufficient.

The best answer is D.
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Re: If n is an integer, is n/11 an integer? (1) 7n/11 is an integer.  [#permalink]

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New post 25 Sep 2018, 22:57
Bunuel wrote:
If n is an integer, is n/11 an integer?


(1) 7n/11 is an integer.

(2) 3n/11 is an integer


Given, n = Integer

Question: Is n/11 an Integer?

i.e. we need to find whether n is a multiple of 11 or not

Statement 1: 7n/11 is an integer

There is no common multiple between 7 and 11 except 1
i.e. n MUST be a multiple of 11 for this to be true as n is an integer hence

SUFFICIENT

Statement 2: 3n/11 is an integer
There is no common multiple between 3 and 11 except 1
i.e. n MUST be a multiple of 11 for this to be true as n is an integer hence

SUFFICIENT

Answer: Option D
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Re: If n is an integer, is n/11 an integer? (1) 7n/11 is an integer.   [#permalink] 25 Sep 2018, 22:57
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