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

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Math Expert
Joined: 02 Sep 2009
Posts: 55271
If y is an integer, then the least possible value of |23–5|  [#permalink]

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06 May 2012, 09:41
6
8
00:00

Difficulty:

15% (low)

Question Stats:

65% (00:25) correct 35% (00:33) wrong based on 549 sessions

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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.

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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
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Joined: 13 Aug 2012
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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
1
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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19 Jul 2017, 11:28
Bunuel, Need help for this !
Math Expert
Joined: 02 Sep 2009
Posts: 55271
Re: If y is an integer, then the least possible value of |23–5|  [#permalink]

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19 Jul 2017, 21:46
1
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: $$|23-25|=2$$.

OPEN DISCUSSION OF THIS QUESTION IS HERE: if-y-is-an-integer-then-the-least-possible-value-of-139867.html

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

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Re: If y is an integer, then the least possible value of |23–5|   [#permalink] 19 Jul 2017, 21:46
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