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lawls Group Title

When 17 is divided by k, where k is a positive integer less than 17, the remainder is 3. What is the remainder when the sum of the possible values of k is divided by 17? (a) 2 (b) 3 (c) 4 (d) 5 (e) 6

  • 2 years ago
  • 2 years ago

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  1. IsTim Group Title
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    Well, what do we know?

    • 2 years ago
  2. lawls Group Title
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    well k is less than 17 and is positive

    • 2 years ago
  3. IsTim Group Title
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    Wait....ignore me...I'm...doing other stuff right now, sorry.

    • 2 years ago
  4. IsTim Group Title
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    Someone else, please help!

    • 2 years ago
  5. zzr0ck3r Group Title
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    the numbers are 7 and 14, 17/14 remainder of 3 17/(2*7) same thing 14+7 = 21 so 21/17 = 4

    • 2 years ago
  6. zzr0ck3r Group Title
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    remainder of 4*

    • 2 years ago
  7. alexwee123 Group Title
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    lol this really sounds like a SAT 1 questions :p

    • 2 years ago
  8. alexwee123 Group Title
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    question*

    • 2 years ago
  9. lawls Group Title
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    it is :p

    • 2 years ago
  10. zzr0ck3r Group Title
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    so the answer is 4

    • 2 years ago
  11. helder_edwin Group Title
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    u r dividing 17 by k and have remainder 3 then u have the following equation \[ \large 17=kq+3 \]

    • 2 years ago
  12. helder_edwin Group Title
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    |dw:1344909696566:dw|

    • 2 years ago
  13. helder_edwin Group Title
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    i'm sure u know this

    • 2 years ago
  14. alexwee123 Group Title
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    lol well good luck w/ the sat @lawls :p

    • 2 years ago
  15. helder_edwin Group Title
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    @lawls ?

    • 2 years ago
  16. lawls Group Title
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    yeah i'm here thanks

    • 2 years ago
  17. helder_edwin Group Title
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    r u following me?

    • 2 years ago
  18. lawls Group Title
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    yup

    • 2 years ago
  19. helder_edwin Group Title
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    ok so since 17=kq+3 then 17-3=kq or 14=kq. Since k is positive then q must also be positive.

    • 2 years ago
  20. helder_edwin Group Title
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    what positive numbers will give u 14 when multiplied?

    • 2 years ago
  21. lawls Group Title
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    7 and 2, 1 and 14

    • 2 years ago
  22. helder_edwin Group Title
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    not k=1. do u know why?

    • 2 years ago
  23. lawls Group Title
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    no why

    • 2 years ago
  24. zzr0ck3r Group Title
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    17/1 = 17 with no remainder so remainder is 0 not 3

    • 2 years ago
  25. lawls Group Title
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    oh yeah i see

    • 2 years ago
  26. helder_edwin Group Title
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    because you would have \[ \large \frac{17}{1}=17 \] and u would not have a remainder but u r told that u DO have a remainder

    • 2 years ago
  27. zzr0ck3r Group Title
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    same with 2

    • 2 years ago
  28. lawls Group Title
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    ok

    • 2 years ago
  29. zzr0ck3r Group Title
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    so what do you get when you add the two choices?

    • 2 years ago
  30. lawls Group Title
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    21

    • 2 years ago
  31. zzr0ck3r Group Title
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    and whats the remainder of 21/17?

    • 2 years ago
  32. helder_edwin Group Title
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    correct

    • 2 years ago
  33. lawls Group Title
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    4

    • 2 years ago
  34. helder_edwin Group Title
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    u got it

    • 2 years ago
  35. lawls Group Title
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    so the answer's (c) thanks guys :)

    • 2 years ago
  36. helder_edwin Group Title
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    u r welcome

    • 2 years ago
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