hba
  • hba
When n is divided by 12,the remainder is 6.What is the remainder when n is divided by 6 ?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
According to first statement : n = 12q + 6 According to second statement: n = 6p + r We are to find r..
hba
  • hba
I am not very sure on how you generated the statements ?Please explain.
anonymous
  • anonymous
See, there is formula : \[Dividend = Divisor \times Quotient + Remainder\]

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More answers

anonymous
  • anonymous
If I say 4 divides 12 leaving quotient as 3 and 0 : Then we can represent it as : \[12 = 4 \times 3 + 0\]
anonymous
  • anonymous
and *remainder as 0..
hba
  • hba
Ok then how is the Q(x) p and q
anonymous
  • anonymous
I have assumed them as p and q in that two cases because we don't know them..
anonymous
  • anonymous
@waterineyes what you given is true but there is two eqns and 3 unknowns... am I wrong?
anonymous
  • anonymous
Yes 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
  • tamtoan
n = 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 ? :)
anonymous
  • anonymous
when 6,,,...remainder should be 0 !!!!!
anonymous
  • anonymous
tamtoan got the correct way..
hba
  • hba
i have options so we can put them and check ?
anonymous
  • anonymous
Sure..
anonymous
  • anonymous
yep....
anonymous
  • anonymous
18, 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..
anonymous
  • anonymous
*leave
anonymous
  • anonymous
Thanks 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
  • hba
0,1,2,3
hba
  • hba
^ options ?
hba
  • hba
Now you guys have pretty confused me lol
hba
  • hba
@waterineyes Now tell me the math behind this :(
anonymous
  • anonymous
I think @hba will be able to comprehend Ida behind it when you again check the first response of waterineyes
anonymous
  • anonymous
Are you still not able to find the correct choice??
anonymous
  • anonymous
followed by tamtoan's first response
hba
  • hba
Well the answer is 0 but i could not understand the math behind it :(
anonymous
  • anonymous
Till here you got : \[n = 12q + 6\]
hba
  • hba
yes
anonymous
  • anonymous
Now can you factor out 6 from that ??
hba
  • hba
no.
hba
  • hba
how to do that ?
anonymous
  • anonymous
By using distributive property??
anonymous
  • anonymous
\[ab + ac = a(b+c)\]
hba
  • hba
n=6(2q+1)
anonymous
  • anonymous
Yep. Now if I say that \(n = 3\times 4\) then it means that 3 and 4 are the factors of n.. Okay??
hba
  • hba
ok
hba
  • hba
so here the factors are 6 and 2q+1
anonymous
  • anonymous
Good going..
anonymous
  • anonymous
And 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??
hba
  • hba
more..
anonymous
  • anonymous
See, 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??
anonymous
  • anonymous
It means that factors of any number will divide it fully leaving No Remainder.. It is obvious hba..
anonymous
  • anonymous
More ??
anonymous
  • anonymous
Still not getting tell me @hba
hba
  • hba
gotcha:D
hba
  • hba
So, 6/n=0 and 6/2q+1 = 0
hba
  • hba
what next ?
anonymous
  • anonymous
You have to find remainder no??
anonymous
  • anonymous
That you have found I think... Why do you want to go next in this??
anonymous
  • anonymous
Sorry, remainder of n/6 will be 0.. And not 6/n..
anonymous
  • anonymous
Net got crushed??
hba
  • hba
Sorry some issue with my internet connection,So the answer is 0 @waterineyes
anonymous
  • anonymous
Yes it is...

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