It is currently 20 Oct 2017, 13:34

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

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

Author Message
Math Expert
Joined: 02 Sep 2009
Posts: 41892

Kudos [?]: 129020 [6], given: 12187

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

### Show Tags

06 May 2012, 09:41
6
KUDOS
Expert's post
9
This post was
BOOKMARKED
00:00

Difficulty:

15% (low)

Question Stats:

65% (00:25) correct 35% (00:33) wrong based on 546 sessions

### HideShow timer Statistics

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

_________________

Kudos [?]: 129020 [6], given: 12187

Senior Manager
Joined: 13 Aug 2012
Posts: 458

Kudos [?]: 541 [1], given: 11

Concentration: Marketing, Finance
GPA: 3.23
Re: If y is an integer, then the least possible value of |23–5| [#permalink]

### Show Tags

05 Dec 2012, 04:46
1
KUDOS
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
_________________

Impossible is nothing to God.

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]

### Show Tags

19 Jul 2017, 21:46
1
KUDOS
Expert's post
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: https://gmatclub.com/forum/if-y-is-an-i ... 39867.html
_________________

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

Intern
Joined: 15 Dec 2007
Posts: 13

Kudos [?]: 26 [0], given: 138

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

### Show Tags

18 May 2012, 04:53

Kudos [?]: 26 [0], given: 138

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16635

Kudos [?]: 273 [0], given: 0

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

### Show Tags

05 Dec 2015, 03:20
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).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Kudos [?]: 273 [0], given: 0

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16635

Kudos [?]: 273 [0], given: 0

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

### Show Tags

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).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Kudos [?]: 273 [0], given: 0

Intern
Joined: 09 Mar 2017
Posts: 47

Kudos [?]: 6 [0], given: 13

Location: India
GMAT 1: 650 Q45 V31
GPA: 4
Re: If y is an integer, then the least possible value of |23–5| [#permalink]

### Show Tags

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

Kudos [?]: 6 [0], given: 13

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