## girlish 3 years ago when n is divided by 12,the remainder is 6.What is the remainder when n is divided by 6?

12/2= 6 6/2=3

n is 2

3. girlish

i didnt get u

4. ali110

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

5. girlish

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

7. girlish

6

8. girlish

right?

9. girlish

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

what ur not understanding you need to find what n is

11. pathosdebater

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

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

13. amriju

its remainder not quotient @pathosdebater

14. pathosdebater

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

15. amriju

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

16. amriju

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

17. girlish

what if the quotient is not a whole no.?

18. amriju

then u have a remainder not equal to 0

19. pathosdebater

So n = 78

20. amriju

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

21. pathosdebater

True

22. 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

23. girlish

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?

24. amriju

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

25. girlish

yup

26. girlish

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

27. 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

28. pathosdebater

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

29. pathosdebater

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

30. girlish

i got it thanku