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# Is n an integer greater than 4?

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Math Expert
Joined: 02 Sep 2009
Posts: 59586
Is n an integer greater than 4?  [#permalink]

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Updated on: 16 Dec 2018, 08:00
00:00

Difficulty:

5% (low)

Question Stats:

87% (01:03) correct 13% (00:50) wrong based on 143 sessions

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Project DS Butler: Day 41: Data Sufficiency (DS81)

Tough and Tricky questions: Number Properties.

Is n an integer greater than 4?

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

Kudos for a correct solution.

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Originally posted by Bunuel on 09 Dec 2014, 07:24.
Last edited by gmatbusters on 16 Dec 2018, 08:00, edited 2 times in total.
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Re: Is n an integer greater than 4?  [#permalink]

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09 Dec 2014, 08:07
2
1
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.

Intern
Joined: 09 Nov 2014
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Re: Is n an integer greater than 4?  [#permalink]

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09 Dec 2014, 08:53
1
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.
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Re: Is n an integer greater than 4?  [#permalink]

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09 Dec 2014, 10:12
2
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]

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26 Dec 2014, 10:24
Bunuel wrote:

Tough and Tricky questions: Number Properties.

Is n an integer greater than 4?

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

Kudos for a correct solution.

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Posts: 13719
Re: Is n an integer greater than 4?  [#permalink]

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14 Oct 2019, 03:17
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Re: Is n an integer greater than 4?   [#permalink] 14 Oct 2019, 03:17
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