Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

It is currently 26 May 2017, 10:30

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

What is the distance between a and b on the number line?

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

Hide Tags

Expert Post
3 KUDOS received
Math Expert
User avatar
P
Joined: 02 Sep 2009
Posts: 38908
Followers: 7739

Kudos [?]: 106218 [3] , given: 11613

What is the distance between a and b on the number line? [#permalink]

Show Tags

New post 01 Apr 2012, 01:51
3
This post received
KUDOS
Expert's post
8
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

62% (01:49) correct 38% (00:40) wrong based on 295 sessions

HideShow timer Statistics

1 KUDOS received
Manager
Manager
User avatar
Status: struggling with GMAT
Joined: 06 Dec 2012
Posts: 214
Location: Bangladesh
Concentration: Accounting
GMAT Date: 04-06-2013
GPA: 3.65
Followers: 15

Kudos [?]: 374 [1] , given: 46

Re: What is the distance between a and b on the number line? [#permalink]

Show Tags

New post 27 Mar 2013, 02:10
1
This post received
KUDOS
What is the distance between a and b on the number line?

(1) |a| – |b| = 6
(2) ab > 0
Verbal Forum Moderator
Verbal Forum Moderator
User avatar
Joined: 10 Oct 2012
Posts: 629
Followers: 83

Kudos [?]: 1193 [0], given: 136

Premium Member
Re: What is the distance between a and b on the number line? [#permalink]

Show Tags

New post 27 Mar 2013, 02:45
1
This post was
BOOKMARKED
mun23 wrote:
What is the distance between a and b on the number line?

(1) |a| – |b| = 6
(2) ab > 0


From F.S 1, let's pick values keeping |a| – |b| = 6. For a=-12; b=6, we have |a-b| = 18, however, for a=12;b=6 we have |a-b| = 6. Insufficient.

From F.S 2, we just know that a and b are of the same sign. Insufficient.

With both taken together, either a,b>0 in which case, |a| – |b| = 6 --> a– b = 6 .

or

a,b<0 in which case, b-a = 6. Thus, the distance between the points a and b, |a-b| is the same in either case. Sufficient.

C.
_________________

All that is equal and not-Deep Dive In-equality

Hit and Trial for Integral Solutions

Expert Post
Math Expert
User avatar
P
Joined: 02 Sep 2009
Posts: 38908
Followers: 7739

Kudos [?]: 106218 [0], given: 11613

Re: What is the distance between a and b on the number line? [#permalink]

Show Tags

New post 27 Mar 2013, 04:25
1 KUDOS received
Senior Manager
Senior Manager
User avatar
Joined: 13 May 2013
Posts: 468
Followers: 3

Kudos [?]: 172 [1] , given: 134

Re: What is the distance between a and b on the number line? [#permalink]

Show Tags

New post 26 Jun 2013, 14:42
1
This post received
KUDOS
1
This post was
BOOKMARKED
What is the distance between a and b on the number line?

(1) |a| – |b| = 6
(2) ab > 0

(1) |a| – |b| = 6

I made a stupid mistake here. I assumed that because we are dealing with absolute values here, we're dealing with just a positive number - a positive number (for example 12-6 = 6, 8-2 = 6, etc). Of course, we're looking for the distance of a and b, not the difference between |a| and |b|. For example, the difference between |-12| and |6| is (12-6=6) but on the number line they are actually 18 places apart. Therefore, we cannot determine what the distance between a and b is on the number line with #1.
INSUFFICIENT

(2) ab > 0

This tells us nothing about the placement of a and b on the number line, only that a and b are both positive or negative.

1+2) If a and b are both positive or both negative and that |a| – |b| = 6 then we can conclude the distance is always going to be 6.
SUFFICIENT

(C)
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 15463
Followers: 649

Kudos [?]: 209 [0], given: 0

Premium Member
Re: What is the distance between a and b on the number line? [#permalink]

Show Tags

New post 22 Nov 2014, 19:19
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
Math Expert
User avatar
P
Joined: 02 Sep 2009
Posts: 38908
Followers: 7739

Kudos [?]: 106218 [0], given: 11613

Re: What is the distance between a and b on the number line? [#permalink]

Show Tags

New post 23 Nov 2014, 05:34
Bunuel wrote:
What is the distance between a and b on the number line?

(1) |a| – |b| = 6
(2) ab > 0


What is the distance between a and b on the number line?

We are asked to find the value of |a-b|.

(1) |a| – |b| = 6 --> if a=7 and b=1 then |a-b|=6 but if a=7 and b=-1 then |a-b|=8. Not sufficient.

(2) ab > 0 --> just says that a and b have the same sign. Not sufficient:

(1)+(2) If both a and b are positive then |a|-|b|=a-b=6 and |a-b|=6. If both a and b are negative then |a|-|b|=-a-(-b)=b-a=6, and |a-b|=6. So, in any case |a-b|=6. Sufficient.

Answer: C.
_________________

New to the Math Forum?
Please read this: 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

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 15463
Followers: 649

Kudos [?]: 209 [0], given: 0

Premium Member
Re: What is the distance between a and b on the number line? [#permalink]

Show Tags

New post 14 Mar 2017, 22:41
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
avatar
B
Joined: 05 Jan 2017
Posts: 436
Location: India
Followers: 14

Kudos [?]: 43 [0], given: 15

Premium Member
Re: What is the distance between a and b on the number line? [#permalink]

Show Tags

New post 15 Mar 2017, 02:03
Bunuel wrote:
What is the distance between a and b on the number line?

(1) |a| – |b| = 6
(2) ab > 0


ST 1: If both are negative or both are positive, the difference will be = 6. If one of them is negative, we cannot determine the distance. INSUFFICIENT

St 2: ab>0, that means either both are negative or both are positive. But the difference is unknown. INSUFFICIENT

St 1 & St 2: the case of one of them being negative and other positive is ruled out. hence the distance will be 6. ANSWER

Option C
Re: What is the distance between a and b on the number line?   [#permalink] 15 Mar 2017, 02:03
    Similar topics Author Replies Last post
Similar
Topics:
Experts publish their posts in the topic On the number line, what is the distance between the point 2x and the NoHalfMeasures 2 14 Jan 2016, 18:14
14 Experts publish their posts in the topic What is the distance between x and y on the number line? calreg11 13 22 May 2017, 19:47
142 Experts publish their posts in the topic On the number line, the distance between x and y is greater jj97cornell 16 28 Mar 2017, 09:37
11 Experts publish their posts in the topic On the number line, the distance between point A and point C jpr200012 14 18 Feb 2017, 03:53
11 Experts publish their posts in the topic On the number line, the distance between x and y is greater LM 7 07 Aug 2016, 10:11
Display posts from previous: Sort by

What is the distance between a and b on the number line?

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


cron

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

Powered by phpBB © phpBB Group and phpBB SEO

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®.