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lawls

  • 3 years ago

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

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  1. IsTim
    • 3 years ago
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    Well, what do we know?

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

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

  4. IsTim
    • 3 years ago
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    Someone else, please help!

  5. zzr0ck3r
    • 3 years ago
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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

  6. zzr0ck3r
    • 3 years ago
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    remainder of 4*

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

  8. alexwee123
    • 3 years ago
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    question*

  9. lawls
    • 3 years ago
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    it is :p

  10. zzr0ck3r
    • 3 years ago
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    so the answer is 4

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

  12. helder_edwin
    • 3 years ago
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    |dw:1344909696566:dw|

  13. helder_edwin
    • 3 years ago
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    i'm sure u know this

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

  15. helder_edwin
    • 3 years ago
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    @lawls ?

  16. lawls
    • 3 years ago
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    yeah i'm here thanks

  17. helder_edwin
    • 3 years ago
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    r u following me?

  18. lawls
    • 3 years ago
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    yup

  19. helder_edwin
    • 3 years ago
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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.

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

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

  22. helder_edwin
    • 3 years ago
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    not k=1. do u know why?

  23. lawls
    • 3 years ago
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    no why

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

  25. lawls
    • 3 years ago
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    oh yeah i see

  26. helder_edwin
    • 3 years ago
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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

  27. zzr0ck3r
    • 3 years ago
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    same with 2

  28. lawls
    • 3 years ago
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    ok

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

  30. lawls
    • 3 years ago
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    21

  31. zzr0ck3r
    • 3 years ago
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    and whats the remainder of 21/17?

  32. helder_edwin
    • 3 years ago
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    correct

  33. lawls
    • 3 years ago
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    4

  34. helder_edwin
    • 3 years ago
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    u got it

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

  36. helder_edwin
    • 3 years ago
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    u r welcome

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