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hba Group Title

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

  • 2 years ago
  • 2 years ago

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  1. waterineyes Group Title
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    According to first statement : n = 12q + 6 According to second statement: n = 6p + r We are to find r..

    • 2 years ago
  2. hba Group Title
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    I am not very sure on how you generated the statements ?Please explain.

    • 2 years ago
  3. waterineyes Group Title
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    See, there is formula : \[Dividend = Divisor \times Quotient + Remainder\]

    • 2 years ago
  4. waterineyes Group Title
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    If I say 4 divides 12 leaving quotient as 3 and 0 : Then we can represent it as : \[12 = 4 \times 3 + 0\]

    • 2 years ago
  5. waterineyes Group Title
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    and *remainder as 0..

    • 2 years ago
  6. hba Group Title
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    Ok then how is the Q(x) p and q

    • 2 years ago
  7. waterineyes Group Title
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    I have assumed them as p and q in that two cases because we don't know them..

    • 2 years ago
  8. Rosh007 Group Title
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    @waterineyes what you given is true but there is two eqns and 3 unknowns... am I wrong?

    • 2 years ago
  9. waterineyes Group Title
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    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...

    • 2 years ago
  10. tamtoan Group Title
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    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 ? :)

    • 2 years ago
  11. jobs Group Title
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    when 6,,,...remainder should be 0 !!!!!

    • 2 years ago
  12. jobs Group Title
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    tamtoan got the correct way..

    • 2 years ago
  13. hba Group Title
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    i have options so we can put them and check ?

    • 2 years ago
  14. waterineyes Group Title
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    Sure..

    • 2 years ago
  15. jobs Group Title
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    yep....

    • 2 years ago
  16. waterineyes Group Title
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    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..

    • 2 years ago
  17. waterineyes Group Title
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    *leave

    • 2 years ago
  18. Rosh007 Group Title
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    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

    • 2 years ago
  19. hba Group Title
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    0,1,2,3

    • 2 years ago
  20. hba Group Title
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    ^ options ?

    • 2 years ago
  21. hba Group Title
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    Now you guys have pretty confused me lol

    • 2 years ago
  22. hba Group Title
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    @waterineyes Now tell me the math behind this :(

    • 2 years ago
  23. Rosh007 Group Title
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    I think @hba will be able to comprehend Ida behind it when you again check the first response of waterineyes

    • 2 years ago
  24. waterineyes Group Title
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    Are you still not able to find the correct choice??

    • 2 years ago
  25. Rosh007 Group Title
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    followed by tamtoan's first response

    • 2 years ago
  26. hba Group Title
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    Well the answer is 0 but i could not understand the math behind it :(

    • 2 years ago
  27. waterineyes Group Title
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    Till here you got : \[n = 12q + 6\]

    • 2 years ago
  28. hba Group Title
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    yes

    • 2 years ago
  29. waterineyes Group Title
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    Now can you factor out 6 from that ??

    • 2 years ago
  30. hba Group Title
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    no.

    • 2 years ago
  31. hba Group Title
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    how to do that ?

    • 2 years ago
  32. waterineyes Group Title
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    By using distributive property??

    • 2 years ago
  33. waterineyes Group Title
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    \[ab + ac = a(b+c)\]

    • 2 years ago
  34. hba Group Title
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    n=6(2q+1)

    • 2 years ago
  35. waterineyes Group Title
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    Yep. Now if I say that \(n = 3\times 4\) then it means that 3 and 4 are the factors of n.. Okay??

    • 2 years ago
  36. hba Group Title
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    ok

    • 2 years ago
  37. hba Group Title
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    so here the factors are 6 and 2q+1

    • 2 years ago
  38. waterineyes Group Title
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    Good going..

    • 2 years ago
  39. waterineyes Group Title
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    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??

    • 2 years ago
  40. hba Group Title
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    more..

    • 2 years ago
  41. waterineyes Group Title
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    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??

    • 2 years ago
  42. waterineyes Group Title
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    It means that factors of any number will divide it fully leaving No Remainder.. It is obvious hba..

    • 2 years ago
  43. waterineyes Group Title
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    More ??

    • 2 years ago
  44. waterineyes Group Title
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    Still not getting tell me @hba

    • 2 years ago
  45. hba Group Title
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    gotcha:D

    • 2 years ago
  46. hba Group Title
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    So, 6/n=0 and 6/2q+1 = 0

    • 2 years ago
  47. hba Group Title
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    what next ?

    • 2 years ago
  48. waterineyes Group Title
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    You have to find remainder no??

    • 2 years ago
  49. waterineyes Group Title
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    That you have found I think... Why do you want to go next in this??

    • 2 years ago
  50. waterineyes Group Title
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    Sorry, remainder of n/6 will be 0.. And not 6/n..

    • 2 years ago
  51. waterineyes Group Title
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    Net got crushed??

    • 2 years ago
  52. hba Group Title
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    Sorry some issue with my internet connection,So the answer is 0 @waterineyes

    • 2 years ago
  53. waterineyes Group Title
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    Yes it is...

    • 2 years ago
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