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If n is an integer, is n/7 an integer? (1) 3n/7 is an integer (2) 5n/7

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If n is an integer, is n/7 an integer? (1) 3n/7 is an integer (2) 5n/7  [#permalink]

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New post 03 Oct 2018, 04:02
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

88% (00:39) correct 13% (01:03) wrong based on 48 sessions

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Re: If n is an integer, is n/7 an integer? (1) 3n/7 is an integer (2) 5n/7  [#permalink]

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New post 03 Oct 2018, 04:05
Bunuel wrote:
If n is an integer, is n/7 an integer?

(1) 3n/7 is an integer.
(2) 5n/7 is an integer


Question: is n/7 an integer?

Statement 1: 3n/7 is an integer
Since n is an Integer therefore n must be a multiple of 7 for 3n/7 to be an integer hence
SUFFICIENT

Statement 2: 5n/7 is an integer
Since n is an Integer therefore n must be a multiple of 7 for 3n/7 to be an integer hence
SUFFICIENT

Answer: Option D
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Re: If n is an integer, is n/7 an integer? (1) 3n/7 is an integer (2) 5n/7  [#permalink]

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New post 03 Oct 2018, 04:08
From statement 1:

3/7 is not an integer. If 3n/7 is an integer, then n is a factor of 7 and it's divisible by 7. Works even if n = 0.

Sufficient.

From statement 2:

5/7 is not an integer. If 5n/7 is an integer, then n is a factor of 7 and it's divisible by 7. Works even if n = 0.

Sufficient.

D is the answer.
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Re: If n is an integer, is n/7 an integer? (1) 3n/7 is an integer (2) 5n/7  [#permalink]

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New post 03 Oct 2018, 04:41
Bunuel wrote:
If n is an integer, is n/7 an integer?

(1) 3n/7 is an integer.
(2) 5n/7 is an integer



Given that n is an integer

Then 3n/7 = integer. 3 and 7 have no common factor and for 3n to be divisble by 7. N must be a multiple of 7

Sufficient.

Same applies to 5n/7

Sufficient.

Answer choice D.

This question follows the same as this one the only difference in here is that we are given n to be an integer. While the other is asking if n/18 is an integer

https://gmatclub.com/forum/is-n-18-an-i ... 34415.html

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Re: If n is an integer, is n/7 an integer? (1) 3n/7 is an integer (2) 5n/7 &nbs [#permalink] 03 Oct 2018, 04:41
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