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Suppose that \(N\) can be written in base 6 as \(531340_6\) and in base 8 as \(124154_8\). In base 10, what is the remainder when \(N\)is divided by 210?

 Dec 11, 2020
 #1
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By the Chinese Remainder Theorem, when N is divided by 210, the remainder is 187.

 Dec 11, 2020
 #2
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Convert 531340 from base 6 to base 10

 

=43116 mod 210 ==66

 Dec 11, 2020

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