The easiest in here Q7

Number Theory Level 2

A no. when divided by 899 gives a remainder 63. The remainder when this no. is divided by 29 is:

This problem is a part of the set NMTC 2015 .


The answer is 5.

Satyajit Ghosh by Satyajit Ghosh , 21, India

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2 solutions

The number=x*899+63 If x=1 then number=899+33=962 so, 962 mod 29 =5

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Nikhesh Kumar
Jul 15, 2016

899/29=31 thus the number leaves the same rem when divided by 29.but 63>29. Thus 63=5mod29

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