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Is n an integer greater than 4?
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Updated on: 30 Sep 2022, 14:12
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.
(1) 3n is a positive integer.
(2) n/3 is a positive integer.
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Joined: 12 Aug 2014
Posts: 145
Given Kudos: 29
Location: United States (AZ)
Concentration: Finance, Strategy
Schools: Cnsrtm-Johnson '20 (A) Cnsrtm-Darden '20 (A) Cnsrtm-Goizueta '20 (A) Cnsrtm-McCombs '20 (A)
GMAT 1: 700 Q47 V39
Re: Is n an integer greater than 4?
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09 Dec 2014, 08:07
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.
(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.
Re: Is n an integer greater than 4?
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09 Dec 2014, 08:53
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! =)
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! =) 
