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Is n an integer greater than 4?

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Bunuel
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Is n an integer greater than 4? [#permalink] New post   Updated on: 30 Sep 2022, 14:12
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Is n an integer greater than 4?

(1) 3n is a positive integer.
(2) n/3 is a positive integer.
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E

Originally posted by Bunuel on 09 Dec 2014, 07:24.
Last edited by Bunuel on 30 Sep 2022, 14:12, edited 3 times in total.
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Re: Is n an integer greater than 4? [#permalink] New post   09 Dec 2014, 08:07
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Is n an integer greater than 4?

(1) 3n is a positive integer.

Picking numbers method:

If n = 1, the answer would be no.
If n = 6, the answer would be yes.

Clearly insufficient.

(2) n/3 is a positive integer.

If n = 3, the answer would be no.
If n = 6, the answer would be yes.

Clearly insufficient.

Combined: 3n is a positive integer and n/3 is a positive integer. Is n an integer > 4?

If n = 3, the answer would still be no.
If n = 6, the answer would still be yes.

Both statements combined are still insufficient to answer the question.

Answer is E.
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Re: Is n an integer greater than 4? [#permalink] New post   09 Dec 2014, 08:53
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Is the answer E? Here's my reasoning:
1) 3n is a positive integer. If n=1 then 3n=3, if n=2 then 3n=6. Not sufficient as various values of n will result in 3n being a positive integer.
2) n/3 is a positive integer. If n = 3 then n/3 = 1, if n=6 then n/3 =2. Not sufficent.
Combining statements 1 & 2, all we can say is that n is a multiple of 3, which means that n >=3. Therefore this is not sufficent.
Hence E is my answer.
Am I correct :?: Please advise, thanks! =)
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Re: Is n an integer greater than 4? [#permalink] New post   09 Dec 2014, 10:12
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Is n an integer greater than 4?

(1) 3n is a positive integer. Insufficient--this only tells us that n is also positive.
(2) n/3 is a positive integer. Insufficient--n could be any multiple of 3 that is positive--3, 6, 9.

Choice E--even combined we only know that n is an integer and a positive multiple of 3. We cannot determine if n is less than or greater than 4.
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Re: Is n an integer greater than 4? [#permalink] New post   14 Nov 2023, 19:17
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Re: Is n an integer greater than 4? [#permalink]
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