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# When 20 is divided by the positive integer k, the remainder

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Manager
Joined: 06 Nov 2008
Posts: 53
When 20 is divided by the positive integer k, the remainder [#permalink]

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08 Nov 2008, 18:02
When 20 is divided by the positive integer k, the remainder is k – 2. Which of the following is a possible value of k ?

A. 8
B. 9
C. 10
D. 11
E. 12

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Intern
Joined: 14 Sep 2003
Posts: 43
Location: california

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08 Nov 2008, 20:02
for some number substitution type questions such as this one, I use C or D as my reference. This, I feel, saves me some time.

20 / 10 yields No remainder. So eliminate C

20 / 11 yields a remainder of 9, which is 11-2. So D is the answer
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Manager
Joined: 14 Jun 2007
Posts: 158
Location: Vienna, Austria

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12 Nov 2008, 03:15
can someone pls confirm the answer, because i think the answer is 9 !
CEO
Joined: 17 Nov 2007
Posts: 3486
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
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12 Nov 2008, 03:18
20=9*2+2 - remainder is 2<9-2. So, 9 does not work.

Other way:
20+2=22 should be divisible by k. Only 11 satisfies this condition.

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Re: integer   [#permalink] 12 Nov 2008, 03:18
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# When 20 is divided by the positive integer k, the remainder

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