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What is the remainder when 10^49 + 2 is divided by 11?

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Joined: 09 Sep 2018
Posts: 16
Re: What is the remainder when 10^49 + 2 is divided by 11?  [#permalink]

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19 Oct 2018, 08:24
chetan2u wrote:
Bunuel wrote:
What is the remainder when 10^49 + 2 is divided by 11?

A. 1
B. 2
C. 3
D. 5
E. 7

Kudos for a correct solution.

The OA will be revealed on Sunday

the property of 11 as divisor is (sum of odd digits -sum of even digits)=0 starting from rightmost digit..
this means for 10^even number, (sum of odd digits -sum of even digits) =1-0=1 so 1 is the remainder...
and for 10^odd number, (sum of odd digits -sum of even digits) =0-1=-1 so 10 is the remainder...
therefore 10^49 will have a remainder of 10.. so ans =12/11 ie rem=1 ans A

Can you explain that 11 property please? Or link to somewhere I can see it explained? Thanks
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Re: What is the remainder when 10^49 + 2 is divided by 11?  [#permalink]

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26 Nov 2019, 04:24
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Re: What is the remainder when 10^49 + 2 is divided by 11?   [#permalink] 26 Nov 2019, 04:24

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What is the remainder when 10^49 + 2 is divided by 11?

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