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If n is a positive integer, what is the remainder when

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Director
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Joined: 29 Aug 2005
Posts: 808
If n is a positive integer, what is the remainder when  [#permalink]

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New post 23 Nov 2008, 08:52
If n is a positive integer, what is the remainder when 3^(8n+3) + 2 is divided by 5?
A. 0
B. 1
C. 2
D. 3
E. 4

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Manager
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Joined: 05 Jul 2008
Posts: 131
GMAT 2: 740 Q51 V38
Re: GMAT Set 27 -34  [#permalink]

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New post 23 Nov 2008, 09:52
botirvoy wrote:
If n is a positive integer, what is the remainder when 3^(8n+3) + 2 is divided by 5?
A. 0
B. 1
C. 2
D. 3
E. 4


3^4= 81
=>when 3^4k is divided by 5, the remainder is 1
3^(8n+3)+2= 3^8n . 27 +2
So when it is divided by 5, the remainder is 4
E
Director
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Joined: 29 Aug 2005
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Re: GMAT Set 27 -34  [#permalink]

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New post 23 Nov 2008, 10:38
DavidArchuleta wrote:
botirvoy wrote:
If n is a positive integer, what is the remainder when 3^(8n+3) + 2 is divided by 5?
A. 0
B. 1
C. 2
D. 3
E. 4


3^4= 81
=>when 3^4k is divided by 5, the remainder is 1
3^(8n+3)+2= 3^8n . 27 +2
So when it is divided by 5, the remainder is 4
E


I thought E as well, but OA is A. May be OA is wrong...

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: GMAT Set 27 -34 &nbs [#permalink] 23 Nov 2008, 10:38
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