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Number property

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Number property [#permalink] New post 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
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Re: Number property [#permalink] New post 02 Jul 2009, 04:40
could somebody please provide the explanation of the fastest way of doing this problem?
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Re: Number property [#permalink] New post 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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Re: Number property [#permalink] New post 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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