## anonymous 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

1. IsTim

Well, what do we know?

2. anonymous

well k is less than 17 and is positive

3. IsTim

Wait....ignore me...I'm...doing other stuff right now, sorry.

4. IsTim

5. zzr0ck3r

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

remainder of 4*

7. alexwee123

lol this really sounds like a SAT 1 questions :p

8. alexwee123

question*

9. anonymous

it is :p

10. zzr0ck3r

11. helder_edwin

u r dividing 17 by k and have remainder 3 then u have the following equation $\large 17=kq+3$

12. helder_edwin

|dw:1344909696566:dw|

13. helder_edwin

i'm sure u know this

14. alexwee123

lol well good luck w/ the sat @lawls :p

15. helder_edwin

@lawls ?

16. anonymous

yeah i'm here thanks

17. helder_edwin

r u following me?

18. anonymous

yup

19. helder_edwin

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

what positive numbers will give u 14 when multiplied?

21. anonymous

7 and 2, 1 and 14

22. helder_edwin

not k=1. do u know why?

23. anonymous

no why

24. zzr0ck3r

17/1 = 17 with no remainder so remainder is 0 not 3

25. anonymous

oh yeah i see

26. helder_edwin

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

same with 2

28. anonymous

ok

29. zzr0ck3r

so what do you get when you add the two choices?

30. anonymous

21

31. zzr0ck3r

and whats the remainder of 21/17?

32. helder_edwin

correct

33. anonymous

4

34. helder_edwin

u got it

35. anonymous

so the answer's (c) thanks guys :)

36. helder_edwin

u r welcome