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

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Manager
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If n is a prime number greater than 3, what is the remainder [#permalink] New post 03 Nov 2004, 21:21
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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

Please give details of your solution.
Director
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 [#permalink] New post 03 Nov 2004, 22:14
I am unable to comprehend this question...

If n is a prime number > than 3 - it can be 5, 7, 11, 13, 17, 19, 23, whatever..

if n is divided by 12, the remainders can be 5, 7, 11, 1, 5, 7, 11..

We see both 1 and 5 in the answer choice...how's that possible?

Is there a typo or am I missing something here?
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 [#permalink] New post 04 Nov 2004, 07:42
venksune wrote:
I am unable to comprehend this question...

If n is a prime number > than 3 - it can be 5, 7, 11, 13, 17, 19, 23, whatever..

if n is divided by 12, the remainders can be 5, 7, 11, 1, 5, 7, 11..

We see both 1 and 5 in the answer choice...how's that possible?

Is there a typo or am I missing something here?


Venksune-

That is the solution I came up with as well.

There is no typo..This question is from a old paper test.

Could somebody shed some light if we are missing something?
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 [#permalink] New post 04 Nov 2004, 07:49
The question is just badly written then. I have the same answer as venksune
5/12--> remainder is 5
13/12--> remainder is 1
It's obvious the question is either badly written or there is a typo in the question itself
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 [#permalink] New post 04 Nov 2004, 13:28
The OA of this question is 1, which does not make sense at all...

I guess we must consider 2 in place of 12...
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Re: PS: Prime numbers [#permalink] New post 04 Nov 2004, 20:50
afife76 wrote:
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

Please give details of your solution.


If I were to take a guess, I would say that n should be replaced with n^2. Now try the problem. The proof is a little challenging, but not hard (this is a dumb GMAT question because all you have to do is try one number and see what the remainder is).
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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

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 [#permalink] New post 05 Nov 2004, 00:06
You are right Akamai, now the remainder is consistently 1. I think it would have possibly been n^2 - but rightly said - it is a low quality question.
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 [#permalink] New post 05 Nov 2004, 03:05
Unfortunately this one is from disclosed paper tests...
  [#permalink] 05 Nov 2004, 03:05
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