Possible value : PS Archive
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# Possible value

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SVP
Joined: 04 May 2006
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Schools: CBS, Kellogg
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31 May 2009, 01:40
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If n is a positive integer, which of the following is a possible value of |56 - 5n|?

7
9
12
15
20

Dont know why the OA is OA

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Manager
Joined: 12 Apr 2006
Posts: 218
Location: India
Followers: 1

Kudos [?]: 28 [0], given: 17

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31 May 2009, 05:03
As n is a positive integer, 5n would be a multiple of 5 and unit digit will always be either 5 or 0

Now consider the possible scenarios

When the unit digit of 5n is 5,

56 - x5 = y1 (x and y can be anything here, we are just concerned with unit digit)
x5 - 56 = y9

When the unit digit of 5n is 0,

56 - x0 = y6
x0 - 56 = y4

With both these conditions we have only four possibles values of unit digit, that is 1, 9, 6, and 4.

In the given options only 9 satisfy this, hence the answer.
Senior Manager
Joined: 16 Jan 2009
Posts: 359
Concentration: Technology, Marketing
GMAT 1: 700 Q50 V34
GPA: 3
WE: Sales (Telecommunications)
Followers: 4

Kudos [?]: 199 [0], given: 16

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31 May 2009, 15:28
|56 - 5n|=9 for n=13.
looking for difference of 1 makes it easier.
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Lahoosaher

Manager
Joined: 16 Apr 2009
Posts: 243
Schools: Ross
Followers: 3

Kudos [?]: 83 [0], given: 10

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31 May 2009, 16:02
Quote:
If n is a positive integer, which of the following is a possible value of |56 - 5n|?

7
9
12
15
20

OA-9
|56- 5n|
5n will end with either 0 or 5
|56-5*10| =|56-50|=6
|56-5*9|=|56-45|=11
|56-5*13|=|56-65|=9
|56-5*14|=|56-70|=14
|56-5*15|=|56-75|=19

Hence 9
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Intern
Joined: 12 May 2009
Posts: 48
Location: Mumbai
Followers: 1

Kudos [?]: 3 [0], given: 1

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01 Jun 2009, 04:23
n will be either 0 or 5 as it is multiplied by 5,

Trying out for options
|56-5*9| = |56-45| = 11
|56-5*10| = 6
|56-5*11| = 1
|56-5*12| = 4
|56-5*13| = 9

OA is B
Re: Possible value   [#permalink] 01 Jun 2009, 04:23
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