- anonymous

when n is divided by 12,the remainder is 6.What is the remainder when n is divided by 6?

- schrodinger

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- anonymous

12/2= 6
6/2=3

- anonymous

n is 2

- anonymous

i didnt get u

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## More answers

- anonymous

how u solve it
can u do it step by step @dread56ace

- anonymous

yes plz @dread56ace

- anonymous

when u divide n by 12 you get a remainder of 6 right. so what number do you divide from 12 to get 6

- anonymous

6

- anonymous

right?

- anonymous

@Henry.Lister do u know how to solve it?

- anonymous

what ur not understanding
you need to find what n is

- anonymous

n/12 = 6
n = 72
therefore;
72/6 = 12

- amriju

take an integer K...then we can write n as n=12*K+6....K can be changed depending on n...so now we divide n by 6 thats (12*K+6)/6=2K+1...remainder is 0

- amriju

its remainder not quotient @pathosdebater

- anonymous

If the quotient is a whole number, then the remainder is obviously 0... I was showing how to find that out

- amriju

note that 12K+6...always leaves a remainder 6 when divided by 12..this is the genaral form of the integer n

- amriju

hey...but n/12 not=6 as u hav written ....u must hav overlookd @pathosdebater

- anonymous

what if the quotient is not a whole no.?

- amriju

then u have a remainder not equal to 0

- anonymous

So n = 78

- amriju

n cant have any specific value...what about n=114...divide it by 12....u hav a remainder 6...@pathosdebater

- anonymous

True

- amriju

n=12*k+6..as i mentioned...k is any integer...so put k=1,2,3.....and u 'll get diff values of n

- anonymous

what about this one @amriju
when n is divided by 5,the remainder is 6.What is the remainder when n is divided by 7?

- amriju

did u make up the ques..?...the ques is wrong..

- anonymous

yup

- anonymous

i just want to know that if the quotient is not a whole no.then what wud be the solution of that question?

- amriju

look...if the quetiont is not a whole number.. then u have a remainder...thats all...example..114/12...12*9=108..u have remainder 6..so the quo. is..9+(6/12)...thats 9.5 not awhole num...but 8/4....we have 4*2=8..rem=0...so quo=2+(0/4)=2..whole number

- anonymous

Examples:
12/5 leaves a remainder of 2.
(12+4)/5 leaves a remainder of 1.

- anonymous

(x^3 - 2x^2 + 4x - 2)/(x-3) leaves a remainder of 19.

- anonymous

i got it thanku

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