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If n and m are positive integers, what is the remainder when

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If n and m are positive integers, what is the remainder when [#permalink] New post 16 Nov 2005, 01:52
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If n and m are positive integers, what is the remainder when 3^(4n+2) is divided by 10?

(1)n=2
(2)m=1
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Re: DS: REMAINDER [#permalink] New post 16 Nov 2005, 05:25
themagiccarpet wrote:
If n and m are positive integers, what is the remainder when 3^(4n+2) is divided by 10?

(1)n=2
(2)m=1


I am not sure whether the question is complete at the equation does not have m in it.

If question is complete answer is A.
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Re: DS: REMAINDER [#permalink] New post 16 Nov 2005, 13:47
Quote:

I am not sure whether the question is complete at the equation does not have m in it.

If question is complete answer is A.



agree with you scorpioguy .....
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 [#permalink] New post 16 Nov 2005, 16:46
hmmm.... :shock:

what is m for..

anyway...A is sufficient..
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 [#permalink] New post 16 Nov 2005, 16:56
D

3^(4n+2) =

3^4n * 3^2, n > 0 and is integer

3^4 = 81, last digit 1
3^4n = xxxx1, for n > 0, n integer

3^4n * 3^2 will have unit digit 9

divide by 10, remender 9

the actual values of m or n doesn't matter, i guess.
missing something?
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 [#permalink] New post 16 Nov 2005, 19:54
This question is complete as shown from GMATprep. I got the same answer as ottsit, but the OA was B. I'm not sure how this is possible?
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 [#permalink] New post 16 Nov 2005, 22:19
themagiccarpet wrote:
This question is complete as shown from GMATprep. I got the same answer as ottsit, but the OA was B. I'm not sure how this is possible?


strange!!!

(a) 3^10 = 59 049 % 10 = 9
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 [#permalink] New post 16 Nov 2005, 22:41
Seems like an error. Uh...Pearson Vue....hmmmm....better take the test before Jan! :fart
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 [#permalink] New post 16 Nov 2005, 22:52
I have no idea how it came up B. It should be D. At least A has to be right, since A will result in one value only.
  [#permalink] 16 Nov 2005, 22:52
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