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# If n is a positive integer, which of the following is a

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Director
Joined: 27 Jun 2008
Posts: 540

Kudos [?]: 69 [0], given: 92

WE 1: Investment Banking - 6yrs
If n is a positive integer, which of the following is a [#permalink]

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17 Sep 2008, 07:17
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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

Kudos [?]: 69 [0], given: 92

SVP
Joined: 17 Jun 2008
Posts: 1534

Kudos [?]: 279 [0], given: 0

Re: PS - Q35 [#permalink]

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17 Sep 2008, 23:56
|56-5n| will give a result that will be 1 more than a multiple of 5 so long as 5n < 56.

But, none of the answer choices has a value that is 1 more than a multiple of 5.

Similarly, |56-5n| will give a result that will be 1 less than a multiple of 5 so long as 5n > 56.

Now, 9 is one less than a multiple of 5. Hence, this should be the answer.

Kudos [?]: 279 [0], given: 0

Re: PS - Q35   [#permalink] 17 Sep 2008, 23:56
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# If n is a positive integer, which of the following is a

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