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# If n is a prime number greater than 3, what is the remainder

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Director
Joined: 28 Oct 2003
Posts: 501
Location: 55405
If n is a prime number greater than 3, what is the remainder [#permalink]

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27 Nov 2003, 20:53
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If n is a prime number greater than 3, what is the remainder when n is divided by 12?

A. 0
B. 1
C. 2
D. 3
E. 5

Why is there only one correct answer?
Director
Joined: 13 Nov 2003
Posts: 960
Location: Florida

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27 Nov 2003, 21:36
the least remainder what you will get is 5. that's the answer.

...try out some primes.. 5/12 = 5, 7/12 = 7, 11/12 = 11, 13/12 = 1(not a prime), 17/12 = 5, ..on and on and on.....
GMAT Instructor
Joined: 07 Jul 2003
Posts: 770
Location: New York NY 10024
Schools: Haas, MFE; Anderson, MBA; USC, MSEE

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28 Nov 2003, 03:36
dj wrote:
the least remainder what you will get is 5. that's the answer.

...try out some primes.. 5/12 = 5, 7/12 = 7, 11/12 = 11, 13/12 = 1(not a prime), 17/12 = 5, ..on and on and on.....

Hmm. We are given N is a prime, but I don't recall any restriction that the REMAINDER must also be prime. As such, the question, as written, IMO cannot be answered.
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Best,

AkamaiBrah
Former Senior Instructor, Manhattan GMAT and VeritasPrep
Vice President, Midtown NYC Investment Bank, Structured Finance IT
MFE, Haas School of Business, UC Berkeley, Class of 2005
MBA, Anderson School of Management, UCLA, Class of 1993

Intern
Joined: 24 Nov 2003
Posts: 30
Location: Champaign

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28 Nov 2003, 06:58
Official answer is B i.e is 1.

I guess u start to pray when u see such a quetion. because 1 and 5 both are correct.

Does anyone think 1 is the only answer - if so plz explain.
28 Nov 2003, 06:58
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