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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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04 Oct 2018, 12:33
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Difficulty:

35% (medium)

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
Senior Manager
Joined: 19 Oct 2013
Posts: 340
Location: Kuwait
GPA: 3.2
WE: Engineering (Real Estate)
Re: If n and m are positive integers, what is the remainder when...  [#permalink]

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04 Oct 2018, 16:37
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.

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Joined: 02 Sep 2009
Posts: 50042
Re: If n and m are positive integers, what is the remainder when...  [#permalink]

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04 Oct 2018, 21:14
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

Please search before posting: https://gmatclub.com/forum/if-n-and-m-a ... 05027.html
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Re: If n and m are positive integers, what is the remainder when... &nbs [#permalink] 04 Oct 2018, 21:14
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# If n and m are positive integers, what is the remainder when...

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