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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 26 May 2006, 10:25
If n and m are positive integers, what is the remainder when 3^(4n+2) + m is divided by 10?

1) n=2
2) m=1
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 [#permalink] New post 26 May 2006, 10:48
(1)m could be anything. INSUFFICIENT

(2)any even power of 3 that is not a multiple of 4 will end in a 9. ad 1 and the remainder when divided by 10 is always 0 SUFFICIENT

answer: B
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 [#permalink] New post 26 May 2006, 10:53
a) the reminder is 9+m - insuff
b) the reminder is 9+1 = 0 sufficient
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 [#permalink] New post 26 May 2006, 11:53
I agree B is sufficient.
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 [#permalink] New post 26 May 2006, 14:38
OA is B.

Great job guys!
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 [#permalink] New post 29 May 2006, 18:56
(1) Insufficient, as remainder depends on "m"
(2) Sufficient, as the power is even.
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level of difficulty [#permalink] New post 09 Jun 2006, 23:25
vivek123 wrote:
(1) Insufficient, as remainder depends on "m"
(2) Sufficient, as the power is even.


Right. just if it is a multiple of 4, it will always end in 9. add 1 then you have the unit digit as 0. hence the remainder will always equal 0.

what level of difficulty do you think this problem would be?
level of difficulty   [#permalink] 09 Jun 2006, 23:25
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