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tatuchka [14]
3 years ago
8

When a positive integer k is divided by 6, the remainder is 1. what is the remainder when 5k is divided by 3?

Mathematics
1 answer:
Nady [450]3 years ago
7 0
k\equiv1\mod6\implies k=6n+1 for some integer n.

5k=5(6n+1)=30n+5
\implies5k\equiv30n+5\equiv3(10n)+5\equiv5\equiv2\mod3
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