lawls
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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IsTim
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Well, what do we know?
lawls
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well k is less than 17 and is positive
IsTim
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Wait....ignore me...I'm...doing other stuff right now, sorry.
IsTim
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Someone else, please help!
zzr0ck3r
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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
zzr0ck3r
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remainder of 4*
alexwee123
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lol this really sounds like a SAT 1 questions :p
alexwee123
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question*
lawls
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it is :p
zzr0ck3r
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so the answer is 4
helder_edwin
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u r dividing 17 by k and have remainder 3 then u have the following equation
\[ \large 17=kq+3 \]
helder_edwin
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|dw:1344909696566:dw|
helder_edwin
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i'm sure u know this
alexwee123
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lol well good luck w/ the sat @lawls :p
helder_edwin
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@lawls ?
lawls
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yeah i'm here thanks
helder_edwin
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r u following me?
lawls
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yup
helder_edwin
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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.
helder_edwin
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what positive numbers will give u 14 when multiplied?
lawls
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7 and 2, 1 and 14
helder_edwin
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not k=1. do u know why?
lawls
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no why
zzr0ck3r
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17/1 = 17 with no remainder so remainder is 0 not 3
lawls
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oh yeah i see
helder_edwin
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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
zzr0ck3r
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same with 2
lawls
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ok
zzr0ck3r
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so what do you get when you add the two choices?
lawls
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21
zzr0ck3r
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and whats the remainder of 21/17?
helder_edwin
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correct
lawls
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4
helder_edwin
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u got it
lawls
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so the answer's (c) thanks guys :)
helder_edwin
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u r welcome