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

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Joined: 16 May 2018
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If n and m are positive integers, what is the remainder when...  [#permalink]

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New post 04 Oct 2018, 12:33
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Question Stats:

78% (00:42) correct 22% (02:06) wrong based on 9 sessions

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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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Joined: 19 Oct 2013
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Re: If n and m are positive integers, what is the remainder when...  [#permalink]

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New post 04 Oct 2018, 16:37
jfdelgado wrote:
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


3^1 = 3
3^2 = 9
3^3 = 27
3^4 = 81

In the question stem we have 3^(4n+2) regardless of the value of n the units digit will be 9

So we have a number with units digit 9 + m / 10

Only if we know the value m we would be able to find the remainder.

1) is insufficient

2) is sufficient

If n=1 then it is 729 + 1 = 730/10 = 73.

Answer choice B

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Re: If n and m are positive integers, what is the remainder when...  [#permalink]

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New post 04 Oct 2018, 21:14
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Re: If n and m are positive integers, what is the remainder when...   [#permalink] 04 Oct 2018, 21:14
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