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Is the number n an integer?

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Is the number n an integer? [#permalink] New post 27 Dec 2012, 22:07
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Is the number n an integer?

(1) N - 7 is an integer
(2) N/1/3 is an integer
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Re: Is the number n an integer? [#permalink] New post 27 Dec 2012, 23:20
Expert's post
jsphcal wrote:
Is the number n an integer?

(1)

N - 7 is an integer

(2)

N
1
3 is an integer


Statement 1) N-7 is an integer. Since 7 is also an integer hence N must also be an integer. Sufficient
Statement 2) It can be written as 3N is an integer. N can be a a fraction such as 1/3, then also 3N will be an inetger or N can be an integer even then 3N will be an integer. Two cases, hence insufficient.
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Re: Is the number n an integer? [#permalink] New post 28 Dec 2012, 04:11
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Is the number n an integer?

(1) N - 7 is an integer --> n-7=integer --> n=integer+7=integer. Sufficient.

(2) N/1/3 is an integer. 3n=integer. If n=1, then the answer is YES but if n=1/3, then the answer is NO. Not sufficient.

Answer: A.
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Re: Is the number n an integer?   [#permalink] 28 Dec 2012, 04:11
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