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# Number property

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Manager
Joined: 02 Sep 2008
Posts: 103
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Kudos [?]: 80 [0], given: 1

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25 Mar 2009, 23:11
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If n is a positive integer, which of the following is a possible value of |56 - 5n|?
A. 7
B. 9
C. 12
D. 15
E. 20
Director
Joined: 25 Oct 2008
Posts: 608
Location: Kolkata,India
Followers: 11

Kudos [?]: 721 [0], given: 100

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02 Jul 2009, 04:40
could somebody please provide the explanation of the fastest way of doing this problem?
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Manager
Joined: 16 Apr 2009
Posts: 243
Schools: Ross
Followers: 3

Kudos [?]: 79 [0], given: 10

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02 Jul 2009, 05:03
Quote:
If n is a positive integer, which of the following is a possible value of |56 - 5n|?
A. 7
B. 9
C. 12
D. 15
E. 20

|56 - 5n|

and n is an integer.

Now plug in numbers to n such that you can justify one of the answer choices.

|56-5(10)| =|56-50|=6
|56-5(9)| =|56-45|=11

|56-5(13)| =|56-65|=|-9| =9

Hope this helped..
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CEO
Joined: 17 Nov 2007
Posts: 3589
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Followers: 519

Kudos [?]: 3317 [0], given: 360

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02 Jul 2009, 10:31
another way:

As only one option is correct, there is no other option that differs by +/- 5x. Because if 56-5n is a solution, 56-5(n +/- x) is also solution. 5,12 and 15,20 cannot be solution. So, 9 is our answer.
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Re: Number property   [#permalink] 02 Jul 2009, 10:31
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