If y is an integer, then the least possible value of |23–5| : GMAT Problem Solving (PS)
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# If y is an integer, then the least possible value of |23–5|

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If y is an integer, then the least possible value of |23–5| [#permalink]

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06 May 2012, 08:41
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sravanth wrote:
If y is an integer, then the least possible value of |23 – 5y| is

A. 1
B. 2
C. 3
D. 4
E. 5

|23-5y| represents the distance between 23 and 5y on the number line. Now, the distance will be minimized when 5y, which is multiple of 5, is closest to 23. Multiple of 5 which is closest to 23 is 25 (for y=5), so the least distance is 2: |23-25|=2.

[Reveal] Spoiler:
[Reveal] Spoiler: OA

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Re: If y is an integer, then the least possible value of |23–5| [#permalink]

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18 May 2012, 03:53
Bunuel, thanks for this, but plz fix your spoiler alert xD
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Re: If y is an integer, then the least possible value of |23–5| [#permalink]

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05 Dec 2012, 03:46
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Think of a multiple of 5 that has the shortest distance to -23. Our candidates are -20 and -25. The closest is -25 which gives a distance of 2.

Explanation on absolute values as just measurement of distance: http://burnoutorbreathe.blogspot.com/2012/12/its-just-distance.html
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Re: If y is an integer, then the least possible value of |23–5| [#permalink]

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05 Dec 2015, 02:20
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: If y is an integer, then the least possible value of |23–5|   [#permalink] 05 Dec 2015, 02:20
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# If y is an integer, then the least possible value of |23–5|

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