Algebra

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Joined: 30 Mar 2012
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7 Apr 2012 12:45:08 IST
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If N is divided by 9 then remainder is 5, what will be the remainder if N is divided by 3
Engineering Entrance , JEE Main , JEE Main & Advanced , Mathematics , Algebra

If N is divided by 9 then remainder is 5, what will be the remainder if N is divided by 3



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Scorching goIITian

Joined: 10 Feb 2012
Posts: 262
7 Apr 2012 12:59:56 IST
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 since N=5(mod 9)
then N=9a+5
dividing by 3 you have 9a divisible by 3 and the remainder is what we get from dividing 5 by 3 i.e 2

answer is 2

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Blazing goIITian

Joined: 27 Dec 2010
Posts: 1508
7 Apr 2012 15:15:07 IST
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N is 5(mod 9).

N = 9k + 5.

write 5 as 3 + 2.

N = 3(3k + 1) + 2.

so, N leaves the remainder 2 when divided by 3...

 




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