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# If the remainder is 13 when the integer n is divided by 26

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If the remainder is 13 when the integer n is divided by 26 [#permalink]  20 Mar 2012, 23:05
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If the remainder is 13 when the integer n is divided by 26, what is the remainder when 2n is divided by 13?

A. 0
B. 2
C. 3.25
D. 6.5
E. 13
[Reveal] Spoiler: OA
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Re: If the remainder is 13 when the integer n is divided by 26 [#permalink]  20 Mar 2012, 23:09
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eybrj2 wrote:
If the remainder is 13 when the integer n is divided by 26, what is the remainder when 2n is divided by 13?

A. 0
B. 2
C. 3.25
D. 6.5
E. 13

Given: n=26q+13. Clearly n is divisible by 13 (since both 26q and 13 are), so 2n will also be divisible by 13, which means the remainder will be zero.

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Re: If the remainder is 13 when the integer n is divided by 26 [#permalink]  27 Sep 2013, 05:09
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Re: If the remainder is 13 when the integer n is divided by 26 [#permalink]  17 Nov 2013, 12:11
If the remainder is 13 when the integer n is divided by 26, what is the remainder when 2n is divided by 13?

A. 0
B. 2
C. 3.25
D. 6.5
E. 13

we have the following equation as follows:
Assume x is quotient here,
n = 26x+13 --------------------(1)
ie n=13(2x+1)
It clearly disible by 13 so of course 2n is also divisible by 13 perfectly. So,the remainder is 0.
Answe (a) is the right choice.
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Re: If the remainder is 13 when the integer n is divided by 26 [#permalink]  08 Apr 2015, 10:30
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Re: If the remainder is 13 when the integer n is divided by 26 [#permalink]  09 Apr 2015, 12:06
Expert's post
Hi All,

This is a great 'concept' question, but it can also be answered by TESTing VALUES.

We're told that N is in integer and that when N is divided by 26 the remainder is 13. We're asked for the remainder when 2n is divided by 13.

IF...
N = 39
39/26 = 1r13

Thus, 2N = 78
When 78/13, we get 6r0

[Reveal] Spoiler:
A

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Re: If the remainder is 13 when the integer n is divided by 26   [#permalink] 09 Apr 2015, 12:06
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