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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, 09:41
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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:
Answer: B.
[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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05 Dec 2012, 04:46
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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.

Answer: B

Explanation on absolute values as just measurement of distance: http://burnoutorbreathe.blogspot.com/2012/12/its-just-distance.html
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Kudos [?]: 541 [1], given: 11

Math Expert
Joined: 02 Sep 2009
Posts: 41892

Kudos [?]: 129020 [1], given: 12187

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

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19 Jul 2017, 21:46
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amitpandey25 wrote:
Bunuel, Need help for this !

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: $$|23-25|=2$$.

Answer: B.

OPEN DISCUSSION OF THIS QUESTION IS HERE: https://gmatclub.com/forum/if-y-is-an-i ... 39867.html
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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, 04:53
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 2015, 03:20
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Re: If y is an integer, then the least possible value of |23–5| [#permalink]

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05 Mar 2017, 09:56
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]

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19 Jul 2017, 11:28
Bunuel, Need help for this !

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Re: If y is an integer, then the least possible value of |23–5|   [#permalink] 19 Jul 2017, 11:28
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# If y is an integer, then the least possible value of |23–5|

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