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Junior Regional Olympiad - FBH 2014 Grade 7 Problem 4

Source:

October 3, 2018
number theoryremainder

Problem Statement

Positive integer nn when divided with number 33 gives remainder aa, when divided with 55 has remainder bb and when divided with 77 gives remainder cc. Find remainder when dividing number nn with 105105 if 4a+3b+2c=304a+3b+2c=30
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