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# x, y, a, and b are positive integers. When x is divided by

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x, y, a, and b are positive integers. When x is divided by [#permalink]

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08 Aug 2008, 04:56
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x, y, a, and b are positive integers. When x is divided by y, the remainder is 6. When a is divided by b, the remainder is 9. Which of the following is NOT a possible value for y + b?

A. 24
B. 21
C. 20
D. 17
E. 15

OPEN DISCUSSION OF THIS QUESTION IS HERE: x-y-a-and-b-are-positive-integers-when-x-is-divided-by-y-126301.html
[Reveal] Spoiler: OA

Last edited by Bunuel on 08 Dec 2013, 07:29, edited 2 times in total.
Renamed the topic, edited the question, added the OA and moved to PS forum.
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Re: tricky one... [#permalink]

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08 Aug 2008, 05:01
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Rule denominator is always greater than remainder.
So y>6 and b>9
Adding, we have b+y>15
Answer E.
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Re: tricky one... [#permalink]

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08 Aug 2008, 08:18
arjtryarjtry wrote:
x, y, a, and b are positive integers. When x is divided by y, the remainder is 6. When a is divided by b, the remainder is 9. Which of the following is NOT a possible value for y + b?
24
21
20
17
15

y>6 b>9

15 is not possible.
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Current Student
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Re: tricky one... [#permalink]

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08 Aug 2008, 09:39
15 is the right ans...
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Re: tricky one... [#permalink]

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08 Aug 2008, 11:28
arjtryarjtry wrote:
x, y, a, and b are positive integers. When x is divided by y, the remainder is 6. When a is divided by b, the remainder is 9. Which of the following is NOT a possible value for y + b?
24
21
20
17
15

we talk abou remainders : say here

y(q)+6=x --> y>6
b(q1)+9=a ----> b >9

=> y+b>15
hence y+b=15 is not possible
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Re: tricky one... [#permalink]

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08 Aug 2008, 23:52
arjtryarjtry wrote:
x, y, a, and b are positive integers. When x is divided by y, the remainder is 6. When a is divided by b, the remainder is 9. Which of the following is NOT a possible value for y + b?
24
21
20
17
15

E) ... cant be 15 because sum of their remainders cannot be equal to sum of both numbers
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Re: x, y, a, and b are positive integers. When x is divided by [#permalink]

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08 Dec 2013, 00:14
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Re: x, y, a, and b are positive integers. When x is divided by [#permalink]

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08 Dec 2013, 07:30
x, y, a, and b are positive integers. When x is divided by y, the remainder is 6. When a is divided by b, the remainder is 9. Which of the following is NOT a possible value for y + b?

A. 24
B. 21
C. 20
D. 17
E. 15

Important note: remainder is ALWAYS less than divisor, thus y>6 and b>9 --> y+b>15.

Answer: E.

OPEN DISCUSSION OF THIS QUESTION IS HERE: x-y-a-and-b-are-positive-integers-when-x-is-divided-by-y-126301.html
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Re: x, y, a, and b are positive integers. When x is divided by   [#permalink] 08 Dec 2013, 07:30
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# x, y, a, and b are positive integers. When x is divided by

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