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

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Director
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If n is a prime number greater than 3, what is the remainder [#permalink] New post 27 Nov 2003, 19:53
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?
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 [#permalink] New post 27 Nov 2003, 20:36
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.....
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 [#permalink] New post 28 Nov 2003, 02:36
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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 [#permalink] New post 28 Nov 2003, 05:58
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.
  [#permalink] 28 Nov 2003, 05:58
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If n is a prime number greater than 3, what is the remainder

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