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# PS - Number Properties

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Senior Manager
Joined: 30 Nov 2008
Posts: 479
Schools: Fuqua

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Updated on: 18 Dec 2008, 13:24
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If n is a prime number greater than 3, which of the following could be a prime number?

(A) n^2
(B) n/2
(C) 3n
(D) n – 6
(E) n^2 + 1

Correction: -Choices A and E are supposed to be n^2 rather I had it is n2. My apologies.

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Originally posted by mrsmarthi on 18 Dec 2008, 12:27.
Last edited by mrsmarthi on 18 Dec 2008, 13:24, edited 1 time in total.
SVP
Joined: 29 Aug 2007
Posts: 2426
Re: PS - Number Properties [#permalink]

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18 Dec 2008, 13:03
mrsmarthi wrote:
If n is a prime number greater than 3, which of the following could be a prime number?

(A) n2
(B) n/2
(C) 3n
(D) n – 6
(E) n2 + 1

D:

A: n^2 has 1, n and n^2 factors.
B: n/2 is even not an integer.
C: 3n has factors 1, 3, n and 3n.
D: n – 6 could be because n is a prime and that prime minus 6 is an odd integer, which could be rime. for ex: n = 17. n-6 = 11, which is also a prime.
E: n2 + 1 is an even integer > 2.
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Intern
Joined: 24 Mar 2008
Posts: 18
Re: PS - Number Properties [#permalink]

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18 Dec 2008, 13:13
Can't E be a prime number? If n is 5 then E would be 11, right?
Manager
Joined: 15 Apr 2008
Posts: 159
Re: PS - Number Properties [#permalink]

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18 Dec 2008, 13:16
GoPanthers wrote:
Can't E be a prime number? If n is 5 then E would be 11, right?

yes, but if n is 7 then E would be 15. this question can be solved by picking numbers.

Intern
Joined: 24 Mar 2008
Posts: 18
Re: PS - Number Properties [#permalink]

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18 Dec 2008, 13:21
Ii think the question is incorrectly written, the could would make both d and e correct.

Should be written: If n is a prime number greater than 3, which of the following must be a prime number?
Senior Manager
Joined: 30 Nov 2008
Posts: 479
Schools: Fuqua
Re: PS - Number Properties [#permalink]

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18 Dec 2008, 13:26
There was a mistake in the options provided.

Choices A and E, I missed the '^'. I corrected the original problem. Sorry for the confusion.
Retired Moderator
Joined: 05 Jul 2006
Posts: 1734
Re: PS - Number Properties [#permalink]

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18 Dec 2008, 14:07
[quote="mrsmarthi"]If n is a prime number greater than 3, which of the following could be a prime number?

(A) n^2
(B) n/2
(C) 3n
(D) n – 6
(E) n^2 + 1

VP
Joined: 05 Jul 2008
Posts: 1333
Re: PS - Number Properties [#permalink]

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28 Dec 2008, 13:06
Another D.

Yep, could be and must be are two different scenarios
VP
Joined: 17 Jun 2008
Posts: 1477
Re: PS - Number Properties [#permalink]

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29 Dec 2008, 03:16
But the question of "could be" still remains. The question is worded poorly. "could be" makes both D and E correct.
VP
Joined: 28 Dec 2005
Posts: 1482
Re: PS - Number Properties [#permalink]

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30 Dec 2008, 12:54
for D, what if n=5 ? Then n-6 = -1 ... is -1 a prime # ?

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: PS - Number Properties   [#permalink] 30 Dec 2008, 12:54
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# PS - Number Properties

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