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

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

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User Mariusz Pala
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8.0k points

1 Answer

3 votes

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
answered
User Muhammed Yasir MT
by
7.4k points
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