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N is a positive integer. When N is divided by 3, the remainder is 2. When N is divided by 4, the remainder is 1. What is the remainder when N is divided by 12?

 Dec 18, 2021
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The easiest way to do this is to just look at numbers that fit,  find a common one and then see what it is mod12

 

N=3K+2

so N = 2,5,8,11,14,17,20 etc

 

N=4G+1

so N = 1,5,  etc

 

find a number that is in both lists.

 Dec 18, 2021

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