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number system

by vipulgoyal » Tue Jun 04, 2013 10:28 pm
when a number is divided by 13 quotiant is K, reminder is 2; when divided by 17, reminder is 2, what is the reminder when K is divided by 17

ans zero
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by aaggar7 » Tue Jun 04, 2013 11:50 pm
Let X be the number.

Then X = 13K + 2 --(1)

Let P be the Quotient,then

X = 17P + 2 --(2)

From 1 and 2

13K = 17P

K = 17P/13

As K is a multiple of 17,when K is divided by 17 remainder is 0.

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by Atekihcan » Wed Jun 05, 2013 2:02 am
Let's say the number is N.
So, (N - 2) = 13*K
Also, (N - 2) is divisible by 17.

So, 13*K is divisible by 17.
So, K is divisible by 17

Answer : 0
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