It is currently 22 Jan 2018, 06:00

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

The distance from point A to point B is 15 meters, and the

  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: 43363
The distance from point A to point B is 15 meters, and the [#permalink]

Show Tags

New post 03 Apr 2014, 13:22
1
This post received
KUDOS
Expert's post
8
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

53% (00:58) correct 47% (01:13) wrong based on 217 sessions

HideShow timer Statistics

The distance from point A to point B is 15 meters, and the distance from point A to point C is 11 meters. If d is the distance, in meters, between points B and C, then which of the following must be correct?

A. 0 < d < 24
B. 1 < d < 25
C. 2 < d < 26
D. 3 < d < 27
E. 4 < d < 28
[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

Intern
Intern
avatar
Joined: 27 Jan 2014
Posts: 29
Location: United States
Schools: Stanford '16 (D)
Re: The distance from point A to point B is 15 meters, and the [#permalink]

Show Tags

New post 03 Apr 2014, 16:12
I don't get this. Distance between C and B will be shortest, if both these points are on the same side of point A. Distance will be the farthest, if B and C are on opposite side of point A.

so d should be between, 4 and 26. Not sure which option to choose now!
2 KUDOS received
Manager
Manager
avatar
Joined: 08 Sep 2010
Posts: 70
Re: The distance from point A to point B is 15 meters, and the [#permalink]

Show Tags

New post 03 Apr 2014, 19:02
2
This post received
KUDOS
Yes. I also arrived at d between 4 and 26. Going by the options given I would go for D.
Director
Director
User avatar
G
Joined: 23 Jan 2013
Posts: 602
Schools: Cambridge'16
Re: The distance from point A to point B is 15 meters, and the [#permalink]

Show Tags

New post 03 Apr 2014, 21:19
Bunuel wrote:
The distance from point A to point B is 15 meters, and the distance from point A to point C is 11 meters. If d is the distance, in meters, between points B and C, then which of the following must be correct?

A. 0 < d < 24
B. 1 < d < 25
C. 2 < d < 26
D. 3 < d < 27
E. 4 < d < 28


point C can be either in line between A and B, opposite direction of B or out of this line, in this case, we get triangle ABC. If it is in line AB then BC=4 meters, if opposite direction, then BC=26 meters, if out of line BC should be less than AB+AC<26 meters. So, maximum BC is less than 26. I think it is C
1 KUDOS received
Manager
Manager
avatar
Joined: 25 Mar 2014
Posts: 167
Location: India
Concentration: Operations, Finance
GMAT Date: 05-10-2015
GPA: 3.51
WE: Programming (Computer Software)
Re: The distance from point A to point B is 15 meters, and the [#permalink]

Show Tags

New post 03 Apr 2014, 21:22
1
This post received
KUDOS
Bunuel wrote:
The distance from point A to point B is 15 meters, and the distance from point A to point C is 11 meters. If d is the distance, in meters, between points B and C, then which of the following must be correct?

A. 0 < d < 24
B. 1 < d < 25
C. 2 < d < 26
D. 3 < d < 27
E. 4 < d < 28


The distance has to vary between 4 and 26 depending upon whether B and C fall on the same side of A or they are on the opposite sides of A. The sequence could be A----B----C or B----A----C. From the former case we get least distance between B and C = 4 and from the later we get max distance as 38. So, I would go for D, as 3< d < 27 means 4<= d <=26
_________________

Please give Kudos to the post if you liked.

2 KUDOS received
SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1844
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: The distance from point A to point B is 15 meters, and the [#permalink]

Show Tags

New post 04 Apr 2014, 02:38
2
This post received
KUDOS
2
This post was
BOOKMARKED
Answer = C. 2 < d < 26

Addition of 2 sides of a triangle has to be MORE than the 3rd side

d has to be less than 26
Attachments

tr.jpg
tr.jpg [ 6.62 KiB | Viewed 4208 times ]


_________________

Kindly press "+1 Kudos" to appreciate :)

Senior Manager
Senior Manager
avatar
Joined: 28 Apr 2014
Posts: 270
GMAT ToolKit User
Re: The distance from point A to point B is 15 meters, and the [#permalink]

Show Tags

New post 07 May 2014, 02:43
Bunuel wrote:
The distance from point A to point B is 15 meters, and the distance from point A to point C is 11 meters. If d is the distance, in meters, between points B and C, then which of the following must be correct?

A. 0 < d < 24
B. 1 < d < 25
C. 2 < d < 26
D. 3 < d < 27
E. 4 < d < 28



Bunuel my thought process...

There are three possibilities

a) Point C is between A and B .. In that case d = 15 - 11 = 4m

b) Point C is aware from A and B but on same line . In that case d = 15 + 11 = 26m

c) Point C is any arbitrary point thus forming a triangle ABC . Now sum of 2 sides should be greater than third side. So d < 26m. So possible values look like 4 < d<26...

None of the option and now I am confused
Director
Director
User avatar
Joined: 25 Apr 2012
Posts: 721
Location: India
GPA: 3.21
WE: Business Development (Other)
Premium Member Reviews Badge
Re: The distance from point A to point B is 15 meters, and the [#permalink]

Show Tags

New post 07 May 2014, 03:08
himanshujovi wrote:
Bunuel wrote:
The distance from point A to point B is 15 meters, and the distance from point A to point C is 11 meters. If d is the distance, in meters, between points B and C, then which of the following must be correct?

A. 0 < d < 24
B. 1 < d < 25
C. 2 < d < 26
D. 3 < d < 27
E. 4 < d < 28



Bunuel my thought process...

There are three possibilities

a) Point C is between A and B .. In that case d = 15 - 11 = 4m

b) Point C is aware from A and B but on same line . In that case d = 15 + 11 = 26m

c) Point C is any arbitrary point thus forming a triangle ABC . Now sum of 2 sides should be greater than third side. So d < 26m. So possible values look like 4 < d<26...

None of the option and now I am confused


Attachment:
Untitled.png
Untitled.png [ 14.15 KiB | Viewed 4008 times ]

Here's is my take

We have 3 cases here as you pointed out. Now which range covers all the 3 options should be the answer.
Going by that logic, Ans should be D cause we don't which case are we looking at so Correct answer will cover all the possible options.
_________________


“If you can't fly then run, if you can't run then walk, if you can't walk then crawl, but whatever you do you have to keep moving forward.”

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 43363
Re: The distance from point A to point B is 15 meters, and the [#permalink]

Show Tags

New post 07 May 2014, 03:08
Expert's post
2
This post was
BOOKMARKED
himanshujovi wrote:
Bunuel wrote:
The distance from point A to point B is 15 meters, and the distance from point A to point C is 11 meters. If d is the distance, in meters, between points B and C, then which of the following must be correct?

A. 0 < d < 24
B. 1 < d < 25
C. 2 < d < 26
D. 3 < d < 27
E. 4 < d < 28



Bunuel my thought process...

There are three possibilities

a) Point C is between A and B .. In that case d = 15 - 11 = 4m

b) Point C is aware from A and B but on same line . In that case d = 15 + 11 = 26m

c) Point C is any arbitrary point thus forming a triangle ABC . Now sum of 2 sides should be greater than third side. So d < 26m. So possible values look like 4 < d<26...

None of the option and now I am confused


Let me ask you a question: doesn't option D covers all the possible values of d?
_________________

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

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 14180
Premium Member
Re: The distance from point A to point B is 15 meters, and the [#permalink]

Show Tags

New post 08 May 2015, 02:58
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.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Expert Post
3 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 43363
Re: The distance from point A to point B is 15 meters, and the [#permalink]

Show Tags

New post 20 Jun 2015, 23:54
3
This post received
KUDOS
Expert's post
2
This post was
BOOKMARKED
Bunuel wrote:
The distance from point A to point B is 15 meters, and the distance from point A to point C is 11 meters. If d is the distance, in meters, between points B and C, then which of the following must be correct?

A. 0 < d < 24
B. 1 < d < 25
C. 2 < d < 26
D. 3 < d < 27
E. 4 < d < 28


If point C in on line AB, between points A and B, then the distance between B and C will be 15 - 11 = 4 meters (least possible distance).

If point C in on line AB, to the left of point A, then the distance between B and C will be 15 + 11 = 26 meters (greatest possible distance).

Image

Therefore \(4 \le AC \le 26\). Correct option must cover this entire range. Only option D offers the range which has all possible values of AC.

Answer: D.

[Reveal] Spoiler:
Attachment:
M31-51.png
M31-51.png [ 1.66 KiB | Viewed 4041 times ]

_________________

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

Current Student
User avatar
Status: GMAT Date: 10/08/15
Joined: 17 Jul 2014
Posts: 94
Location: United States (MA)
Concentration: Human Resources, Strategy
GMAT 1: 640 Q48 V35
GPA: 3.5
WE: Human Resources (Consumer Products)
Re: The distance from point A to point B is 15 meters, and the [#permalink]

Show Tags

New post 22 Jun 2015, 05:11
Hello Bunuel,

In the case where the lines form a triangle, option D will include 26 too - isnt this wrong?

The third side of the triangle should be between difference of two ( 15-11) and summation of two (11+15).

Am I doing something wrong?
_________________

Thanks,
aimtoteach


~~~~~~~~~~~~~~~~~

Please give Kudos if you find this post useful.

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 43363
Re: The distance from point A to point B is 15 meters, and the [#permalink]

Show Tags

New post 22 Jun 2015, 05:12
aimtoteach wrote:
Hello Bunuel,

In the case where the lines form a triangle, option D will include 26 too - isnt this wrong?

The third side of the triangle should be between difference of two ( 15-11) and summation of two (11+15).

Am I doing something wrong?


Who said that A, B and C must form a triangle?
_________________

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

Manager
Manager
avatar
B
Joined: 17 Aug 2015
Posts: 105
GMAT ToolKit User
Re: The distance from point A to point B is 15 meters, and the [#permalink]

Show Tags

New post 29 May 2016, 21:51
Bunuel wrote:
aimtoteach wrote:
Hello Bunuel,

In the case where the lines form a triangle, option D will include 26 too - isnt this wrong?

The third side of the triangle should be between difference of two ( 15-11) and summation of two (11+15).

Am I doing something wrong?


Who said that A, B and C must form a triangle?



Bunnuel,

Are you saying essentially that they can form a triangle and can also be on the same straight line?
So If they are on the same line then either d=4 or d=26.
But if they are on a triangle then d> 4 and d<26.
And so combining the two possibilities, we get 4<=d<=26
Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 43363
Re: The distance from point A to point B is 15 meters, and the [#permalink]

Show Tags

New post 30 May 2016, 11:47
ajdse22 wrote:
Bunuel wrote:
aimtoteach wrote:
Hello Bunuel,

In the case where the lines form a triangle, option D will include 26 too - isnt this wrong?

The third side of the triangle should be between difference of two ( 15-11) and summation of two (11+15).

Am I doing something wrong?


Who said that A, B and C must form a triangle?



Bunnuel,

Are you saying essentially that they can form a triangle and can also be on the same straight line?
So If they are on the same line then either d=4 or d=26.
But if they are on a triangle then d> 4 and d<26.
And so combining the two possibilities, we get 4<=d<=26


Yes, the points can be on the same line. Check here: the-distance-from-point-a-to-point-b-is-15-meters-and-the-169750.html#p1540270
_________________

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

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 14180
Premium Member
Re: The distance from point A to point B is 15 meters, and the [#permalink]

Show Tags

New post 15 Jul 2017, 07:44
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.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Senior Manager
Senior Manager
User avatar
G
Joined: 03 Apr 2013
Posts: 292
Location: India
Concentration: Marketing, Finance
Schools: Simon '20
GMAT 1: 740 Q50 V41
GPA: 3
GMAT ToolKit User
Re: The distance from point A to point B is 15 meters, and the [#permalink]

Show Tags

New post 16 Nov 2017, 23:15
Bunuel wrote:
The distance from point A to point B is 15 meters, and the distance from point A to point C is 11 meters. If d is the distance, in meters, between points B and C, then which of the following must be correct?

A. 0 < d < 24
B. 1 < d < 25
C. 2 < d < 26
D. 3 < d < 27
E. 4 < d < 28


It's between 4 and 26 inclusive. But I think it must be given in the question that d is an integer. Only then D stands
_________________

Spread some love..Like = +1 Kudos :)

Re: The distance from point A to point B is 15 meters, and the   [#permalink] 16 Nov 2017, 23:15
Display posts from previous: Sort by

The distance from point A to point B is 15 meters, and the

  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®.