If n is a prime number greater than 3, what is the remainder : PS Archive
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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]

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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
Joined: 16 Jun 2004
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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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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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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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Paul

Director
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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]

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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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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

Director
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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.
Director
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05 Nov 2004, 03:05
Unfortunately this one is from disclosed paper tests...
05 Nov 2004, 03:05
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# If n is a prime number greater than 3, what is the remainder

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