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If n is a prime number greater than 3, what is the remainder [#permalink]
03 Nov 2004, 22:21
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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.
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Director
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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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Manager
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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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GMAT Club Legend
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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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Best Regards,
Paul
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Director
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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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GMAT Instructor
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Re: PS: Prime numbers [#permalink]
04 Nov 2004, 21:50
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
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Director
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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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Director
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Unfortunately this one is from disclosed paper tests...
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