A community for students.
Here's the question you clicked on:
 0 viewing
hba
 2 years ago
When n is divided by 12,the remainder is 6.What is the remainder when n is divided by 6 ?
hba
 2 years ago
When n is divided by 12,the remainder is 6.What is the remainder when n is divided by 6 ?

This Question is Closed

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.1According to first statement : n = 12q + 6 According to second statement: n = 6p + r We are to find r..

hba
 2 years ago
Best ResponseYou've already chosen the best response.0I am not very sure on how you generated the statements ?Please explain.

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.1See, there is formula : \[Dividend = Divisor \times Quotient + Remainder\]

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.1If I say 4 divides 12 leaving quotient as 3 and 0 : Then we can represent it as : \[12 = 4 \times 3 + 0\]

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.1and *remainder as 0..

hba
 2 years ago
Best ResponseYou've already chosen the best response.0Ok then how is the Q(x) p and q

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.1I have assumed them as p and q in that two cases because we don't know them..

Rosh007
 2 years ago
Best ResponseYou've already chosen the best response.0@waterineyes what you given is true but there is two eqns and 3 unknowns... am I wrong?

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.1Yes we have 3 unknowns and this time I am remembering @mukushla because he is expert in finding 3 unknowns out of 1 equation given only.. Ha ha ha ha...

tamtoan
 2 years ago
Best ResponseYou've already chosen the best response.1n = 12q + 6 = 6(2q +1) so n is a multiple of 6 ...:) when you that a multiple of 6 divide 6...is there a remainder ? :)

jobs
 2 years ago
Best ResponseYou've already chosen the best response.0when 6,,,...remainder should be 0 !!!!!

jobs
 2 years ago
Best ResponseYou've already chosen the best response.0tamtoan got the correct way..

hba
 2 years ago
Best ResponseYou've already chosen the best response.0i have options so we can put them and check ?

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.118, 30, 42, 54 all leaves remainder as 6 when divided by 12.. So, you can easily see that they all are fully divided by 6, leaving remainder as 0..

Rosh007
 2 years ago
Best ResponseYou've already chosen the best response.0Thanks to all........ I never think of bunchy equations but only facts... My bad.... i thought how it is possibl to solve it... my bad,... but thanks I got it

hba
 2 years ago
Best ResponseYou've already chosen the best response.0Now you guys have pretty confused me lol

hba
 2 years ago
Best ResponseYou've already chosen the best response.0@waterineyes Now tell me the math behind this :(

Rosh007
 2 years ago
Best ResponseYou've already chosen the best response.0I think @hba will be able to comprehend Ida behind it when you again check the first response of waterineyes

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.1Are you still not able to find the correct choice??

Rosh007
 2 years ago
Best ResponseYou've already chosen the best response.0followed by tamtoan's first response

hba
 2 years ago
Best ResponseYou've already chosen the best response.0Well the answer is 0 but i could not understand the math behind it :(

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.1Till here you got : \[n = 12q + 6\]

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.1Now can you factor out 6 from that ??

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.1By using distributive property??

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.1\[ab + ac = a(b+c)\]

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.1Yep. Now if I say that \(n = 3\times 4\) then it means that 3 and 4 are the factors of n.. Okay??

hba
 2 years ago
Best ResponseYou've already chosen the best response.0so here the factors are 6 and 2q+1

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.1And you must remember that factors divide the number fully leaving NO REMAINDER BEHIND.. If \(n = 3 \times 4\) then 3 and 4 both will divide n fully leaving remainder as 0.. Getting or more explanation you want??

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.1See, here \(3 \times 4 = 12\) So here n = 12.. Now divide 12 by 3 first : Quotient  4 Remainder  0 Now divide 12 by 4: Quotient  3 Remainder  0 What did you get as remainder??

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.1It means that factors of any number will divide it fully leaving No Remainder.. It is obvious hba..

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.1Still not getting tell me @hba

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.1You have to find remainder no??

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.1That you have found I think... Why do you want to go next in this??

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.1Sorry, remainder of n/6 will be 0.. And not 6/n..

hba
 2 years ago
Best ResponseYou've already chosen the best response.0Sorry some issue with my internet connection,So the answer is 0 @waterineyes
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.