It is currently 22 Nov 2017, 04:27

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

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

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Expert Post
1 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42302

Kudos [?]: 133019 [1], given: 12402

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

Show Tags

New post 01 Oct 2012, 04:58
1
This post received
KUDOS
Expert's post
30
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

65% (00:32) correct 35% (00:34) wrong based on 2437 sessions

HideShow timer Statistics

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

(A) 1
(B) 2
(C) 3
(D) 4
(E) 5

Practice Questions
Question: 51
Page: 159
Difficulty: 600
[Reveal] Spoiler: OA

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 133019 [1], given: 12402

Expert Post
7 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42302

Kudos [?]: 133019 [7], given: 12402

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

Show Tags

New post 01 Oct 2012, 04:58
7
This post received
KUDOS
Expert's post
13
This post was
BOOKMARKED
SOLUTION

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.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 133019 [7], given: 12402

8 KUDOS received
Senior Manager
Senior Manager
User avatar
Joined: 31 Oct 2011
Posts: 484

Kudos [?]: 223 [8], given: 57

Schools: Johnson '16 (M)
GMAT 1: 690 Q45 V40
WE: Asset Management (Mutual Funds and Brokerage)
Premium Member
Re: If y is an integer, then the least possible value of |23-5| [#permalink]

Show Tags

New post 01 Oct 2012, 05:10
8
This post received
KUDOS
1
This post was
BOOKMARKED
To find the value of y that yields that minimum for |23 - 5y|, I tested numbers (integers).

1: |23-5(1)| = 18
2: |23-5(2)| = 13
3: |23-5(3)| = 8
4: |23-5(4)| = 3
5: |23-5(5)| = 2
6: |23-5(6|| = 7
7: |23-5(7)| = 12

[Reveal] Spoiler:
The correct answer is B, 2.


This is a rather simple problem that can be figured out well under the 2 minute allowance - that said, it is a bit of a trap if you're not paying attention, and mark 5 instead of 2, as 5 is the value of y that yields the answer of 2.
_________________

My Applicant Blog: http://hamm0.wordpress.com/

Kudos [?]: 223 [8], given: 57

2 KUDOS received
Director
Director
User avatar
Joined: 22 Mar 2011
Posts: 610

Kudos [?]: 1074 [2], given: 43

WE: Science (Education)
Re: If y is an integer, then the least possible value of |23-5| [#permalink]

Show Tags

New post 01 Oct 2012, 08:10
2
This post received
KUDOS
Bunuel wrote:
The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

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

(A) 1
(B) 2
(C) 3
(D) 4
(E) 5

Practice Questions
Question: 51
Page: 159
Difficulty: 600


GMAT Club is introducing a new project: The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide for GMAT® Review, 13th Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project:
1. Please provide your solutions to the questions;
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!


\(|23-5y|\) is the distance between \(23\) and the integer multiple of \(5\), \(5y\).
So, the question is asking for the smallest distance between a multiple of \(5\) and \(23\).
Since \(20=4\cdot5<23<5\cdot5=25\) and \(23\) is closer to \(25\) than to \(20\), the answer is \(|23-25|=2\).

Answer B.
_________________

PhD in Applied Mathematics
Love GMAT Quant questions and running.

Kudos [?]: 1074 [2], given: 43

2 KUDOS received
Senior Manager
Senior Manager
avatar
B
Joined: 24 Aug 2009
Posts: 497

Kudos [?]: 868 [2], given: 276

Schools: Harvard, Columbia, Stern, Booth, LSB,
Re: If y is an integer, then the least possible value of |23-5| [#permalink]

Show Tags

New post 01 Oct 2012, 19:40
2
This post received
KUDOS
2
This post was
BOOKMARKED
If y is an integer, then the least possible value of |23 - 5y| is
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5

The integers which are multiple of 5 & closest to 23 on the number line are either 20 or 25.
Thus the minimum distance possible is 2 units
Answer B
_________________

If you like my Question/Explanation or the contribution, Kindly appreciate by pressing KUDOS.
Kudos always maximizes GMATCLUB worth
-Game Theory

If you have any question regarding my post, kindly pm me or else I won't be able to reply

Kudos [?]: 868 [2], given: 276

1 KUDOS received
Manager
Manager
avatar
B
Joined: 26 Jul 2011
Posts: 118

Kudos [?]: 136 [1], given: 16

Location: India
WE: Marketing (Manufacturing)
Re: If y is an integer, then the least possible value of |23-5| [#permalink]

Show Tags

New post 02 Oct 2012, 06:14
1
This post received
KUDOS
1
This post was
BOOKMARKED
Since absolute value stands for the distance on the number line. The question asks for a shortest distance between 23 and a multiple of 5. 25 is the multilple of 5 that is closest to 23 with a shortest distance of 2. 5 is the value of y that shall yield 25 and hence the answer is E

Kudos [?]: 136 [1], given: 16

Manager
Manager
avatar
B
Joined: 26 Jul 2011
Posts: 118

Kudos [?]: 136 [0], given: 16

Location: India
WE: Marketing (Manufacturing)
Re: If y is an integer, then the least possible value of |23-5| [#permalink]

Show Tags

New post 02 Oct 2012, 06:18
oops!! the question asks for value of Mod and not y...sorry my bad!! the answer should be B

Kudos [?]: 136 [0], given: 16

1 KUDOS received
Senior Manager
Senior Manager
User avatar
Joined: 31 Oct 2011
Posts: 484

Kudos [?]: 223 [1], given: 57

Schools: Johnson '16 (M)
GMAT 1: 690 Q45 V40
WE: Asset Management (Mutual Funds and Brokerage)
Premium Member
Re: If y is an integer, then the least possible value of |23-5| [#permalink]

Show Tags

New post 02 Oct 2012, 12:31
1
This post received
KUDOS
ratinarace wrote:
oops!! the question asks for value of Mod and not y...sorry my bad!! the answer should be B


Haha! see my post above about avoiding the fact this this question can be a trap depending on how you approach it.
_________________

My Applicant Blog: http://hamm0.wordpress.com/

Kudos [?]: 223 [1], given: 57

1 KUDOS received
Intern
Intern
avatar
Joined: 30 Aug 2011
Posts: 19

Kudos [?]: 16 [1], given: 17

Location: United States
Concentration: General Management, International Business
Schools: ISB '15
GMAT 1: 680 Q46 V37
WE: Project Management (Computer Software)
Re: If y is an integer, then the least possible value of |23-5| [#permalink]

Show Tags

New post 04 Oct 2012, 00:59
1
This post received
KUDOS
The two closest multiples of 5 that are closest to 23 are 20 and 25.

\(23 - 20 = -3\) .....and \(|-3| = 3\)

\(23 - 25 = 2\) ......and \(|2| = 2\)

Thus answer is B (2)

Kudos [?]: 16 [1], given: 17

Intern
Intern
avatar
Joined: 26 Jan 2015
Posts: 4

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

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

Show Tags

New post 17 Feb 2015, 20:16
for this question i just asked myself, what multiple of 5 is closest to 23, which would be 25 and that is 2 digits away from 23 hence the answer is 2 . when i see an abs() question i always think in terms of distance

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

Intern
Intern
avatar
Joined: 23 May 2015
Posts: 1

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

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

Show Tags

New post 26 May 2015, 05:50
When they asked least possible value, I was thinking of the value with the lowest probability and figured it could either be 1 4 and 5. Didnt think that they were asking what is the closest value

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

Expert Post
2 KUDOS received
EMPOWERgmat Instructor
User avatar
P
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 10158

Kudos [?]: 3530 [2], given: 173

Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: 340 Q170 V170
Re: If y is an integer, then the least possible value of |23-5| [#permalink]

Show Tags

New post 26 May 2015, 10:21
2
This post received
KUDOS
Expert's post
Hi Psy881212,

GMAT writers are never trying to 'trick' you, so 'Probability' questions on the GMAT almost always include the word "probability" in the prompt. Here, the phrase "least possible value" means "smallest value that you can possibly end with given the restrictions in the prompt" (it does NOT mean "least likely value"). As you continue to practice with Official materials, you'll get a better sense of the 'style' that GMAT writers use (and that familiarity will lead to certain advantages on Test Day).

GMAT assassins aren't born, they're made,
Rich
_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests Free
  Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/

***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************

Kudos [?]: 3530 [2], given: 173

Expert Post
1 KUDOS received
Target Test Prep Representative
User avatar
S
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 1821

Kudos [?]: 940 [1], given: 3

Location: United States (CA)
Re: If y is an integer, then the least possible value of |23-5| [#permalink]

Show Tags

New post 30 May 2016, 05:21
1
This post received
KUDOS
Expert's post
Bunuel 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


To solve this question, we must make sure we interpret it correctly. We are not finding the least possible value of y, but rather the least possible value of |23-5y| (the absolute value of 23 – 5y). Remember that the smallest value that can result from taking the absolute value is zero. Thus we need to make 23 - 5y as close to zero as possible.

We know that 5y is a multiple of 5, so let’s first look at the multiples of 5 closest to 23. We have “20” and “25”. Let’s subtract both of these from 23 and see which one produces the smallest result. When 5y = 20, y is 4 and when 5y = 25, y is 5. Let’s start with letting y = 4.

|23-5(4)|

|23-20|

|3| = 3

Next, let’s let y equal 5.

|23-5(5)|

|23-25|

|-2| = 2

We see that the smallest possible value of |23-5y| is 2.

Answer B.

Another approach to solving this problem is to see what value of y makes the expression 23 – 5y equal to 0:

23 – 5y = 0

23 = 5y

y = 4.6

However, we know that y must be an integer, so we round y = 4.6 to y = 5.

We then plug the value 5 for y into the absolute value equation, as was done earlier, yielding the same answer of 2, which is answer choice B.
_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Kudos [?]: 940 [1], given: 3

Board of Directors
User avatar
G
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 3102

Kudos [?]: 1116 [0], given: 327

Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User Premium Member
Re: If y is an integer, then the least possible value of |23-5| [#permalink]

Show Tags

New post 30 May 2016, 09:35
Bunuel 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

Practice Questions
Question: 51
Page: 159
Difficulty: 600


Plug in values of y

1. If y = 1 |23 - 5y| = 18

2. If y = 2 |23 - 5y| = 13

3. If y = 3 |23 - 5y| = 8

4. If y = 4 |23 - 5y| = 3


5. If y = 6 |23 - 5y| = 7

6. If y = 7 |23 - 5y| = 12

Thus you find the least value of |23 - 5y| comes as 3 only when y = 4

Hence answer will be (B)

_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Kudos [?]: 1116 [0], given: 327

Intern
Intern
avatar
Joined: 01 May 2015
Posts: 46

Kudos [?]: 21 [0], given: 1

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

Show Tags

New post 02 Jun 2016, 00:42
Abhishek009 wrote:
Plug in values of y

1. If y = 1 |23 - 5y| = 18

2. If y = 2 |23 - 5y| = 13

3. If y = 3 |23 - 5y| = 8

4. If y = 4 |23 - 5y| = 3


5. If y = 6 |23 - 5y| = 7

6. If y = 7 |23 - 5y| = 12

Thus you find the least value of |23 - 5y| comes as 3 only when y = 4

Hence answer will be (B)

Hi Abhishek, I think you missed checking the value of the expression when y = 5

If y = 5, then

|23 - 5y| = |23 - 25| = |-2| = 2

So, 2 seems to be the least value (when y = 5)

Kudos [?]: 21 [0], given: 1

Current Student
User avatar
Joined: 18 Oct 2014
Posts: 903

Kudos [?]: 436 [0], given: 69

Location: United States
GMAT 1: 660 Q49 V31
GPA: 3.98
GMAT ToolKit User
Re: If y is an integer, then the least possible value of |23-5| [#permalink]

Show Tags

New post 02 Jun 2016, 09:55
Bunuel 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

Practice Questions
Question: 51
Page: 159
Difficulty: 600


The value will be positive.

l23- 5*5l = 2

B is the answer
_________________

I welcome critical analysis of my post!! That will help me reach 700+

Kudos [?]: 436 [0], given: 69

Board of Directors
User avatar
G
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 3102

Kudos [?]: 1116 [0], given: 327

Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User Premium Member
Re: OG 13E [#permalink]

Show Tags

New post 04 Sep 2016, 08:56
Manonamission 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


Plug in some values to test answer will be (B)

Let y = 6

|23-5y| => |23-30| = 7

Let y = 5

|23-5y| => |23-25| = 2

Let y = 4

|23-5y| => |23-25| = 3
_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Kudos [?]: 1116 [0], given: 327

Expert Post
Top Contributor
SVP
SVP
User avatar
G
Joined: 12 Sep 2015
Posts: 1850

Kudos [?]: 2622 [0], given: 362

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

Show Tags

New post 07 Feb 2017, 09:38
Expert's post
Top Contributor
Bunuel 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


Another approach is to check each answer choice to see if it COULD be the smallest possible value of |23 - 5y|

Let's start with answer choice A, since it is the smallest answer.

A) 1
Is it possible that |23 - 5y| = 1 if y MUST BE AN INTEGER?
Let's solve it.
If |23 - 5y| = 1, then 23 - 5y = 1 or 23 - 5y = -1

Take 23 - 5y = 1 and subtract 23 from both sides to get: -5y = -22
Solve to get: y = 4.4 NOT an integer

Take 23 - 5y = -1 and subtract 23 from both sides to get: -5y = -24
Solve to get: y = 4.8 NOT an integer

So, if y is an INTEGER, it's IMPOSSIBLE for |23 - 5y| to equal 1
ELIMINATE A


B) 2
Is it possible that |23 - 5y| = 2 if y MUST BE AN INTEGER?
Let's solve it.
If |23 - 5y| = 2, then 23 - 5y = 2 or 23 - 5y = -2

Take 23 - 5y = 2 and subtract 23 from both sides to get: -5y = -21
Solve to get: y = 4.2 NOT an integer

Take 23 - 5y = -2 and subtract 23 from both sides to get: -5y = -25
Solve to get: y = 5 AN INTEGER

AHA! It IS POSSIBLE for |23 - 5y| to equal 2

Answer: B
_________________

Brent Hanneson – Founder of gmatprepnow.com

Image

Kudos [?]: 2622 [0], given: 362

Senior Manager
Senior Manager
avatar
G
Joined: 04 Sep 2016
Posts: 377

Kudos [?]: 82 [0], given: 235

Location: India
WE: Engineering (Other)
Premium Member CAT Tests
If y is an integer, then the least possible value of |23-5| [#permalink]

Show Tags

New post 31 Aug 2017, 17:59
hi Bunuel Engr2012

I understood post of calculating distance from number line for |x-a|
But I wanted to know flaw in below approach:

when some expression≤0 then |some expression|=−(some expression). For example: |−5|=−(−5) = 5

Based on this understanding , I approached the problem that if I need to find least possible value of |23-5y|
I need to find least negative value. In other words 5y should be as high as possible so that 23-5y in still lower.
Meaning if y is maximum say 5 among given choices then 23-5y = -2 which is lowest among answer choices available.

WR,
Arpit
_________________

Press kudos if you liked this post

Kudos [?]: 82 [0], given: 235

Manager
Manager
User avatar
G
Joined: 07 Jun 2017
Posts: 176

Kudos [?]: 90 [0], given: 59

Location: India
Concentration: Technology, General Management
GMAT 1: 660 Q46 V38
GPA: 3.6
WE: Information Technology (Computer Software)
GMAT ToolKit User
Re: If y is an integer, then the least possible value of |23-5| [#permalink]

Show Tags

New post 14 Sep 2017, 22:41
5 multiples always ends with 0 or 5, so difference with 3( last digit of 23) will
0-3 = 3
5-3 = 2
since there is MOD||
so here least value should be 2
_________________

Regards,
Naveen
email: nkmungila@gmail.com
Please press kudos if you like this post

Kudos [?]: 90 [0], given: 59

Re: If y is an integer, then the least possible value of |23-5|   [#permalink] 14 Sep 2017, 22:41
Display posts from previous: Sort by

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

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.