GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 23 Oct 2018, 07:00

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

If (b-3)(4+2/b) = 0 and b#3, then b=

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

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50058
If (b-3)(4+2/b) = 0 and b#3, then b=  [#permalink]

Show Tags

New post 23 Dec 2013, 07:42
1
4
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

81% (01:09) correct 19% (01:44) wrong based on 604 sessions

HideShow timer Statistics

The Official Guide For GMAT® Quantitative Review, 2ND Edition

If (b-3)(4+2/b) = 0 and b#3, then b=

(A) -8
(B) -2
(C) -1/2
(D) 1/2
(E) 2

Problem Solving
Question: 5
Category: Algebra Second-degree equations
Page: 62
Difficulty: 500


GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND 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!

_________________

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

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50058
Re: If (b-3)(4+2/b) = 0 and b#3, then b=  [#permalink]

Show Tags

New post 23 Dec 2013, 07:44
2
1
SOLUTION

If (b-3)(4+2/b) = 0 and b#3, then b=

(A) -8
(B) -2
(C) -1/2
(D) 1/2
(E) 2

\((b-3)(4+\frac{2}{b}) = 0\) means that \(b-3=0\) or \(4+\frac{2}{b}=0\). Since \(b\neq{3}\), then \(b-3\neq{0}\) and thus \(4+\frac{2}{b}=0\). From which it follows that \(b=-\frac{1}{2}\).

Answer: C.
_________________

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

Director
Director
User avatar
Joined: 25 Apr 2012
Posts: 691
Location: India
GPA: 3.21
WE: Business Development (Other)
Premium Member Reviews Badge
Re: If (b-3)(4+2/b) = 0 and b#3, then b=  [#permalink]

Show Tags

New post 23 Dec 2013, 11:23
1
Since b#3,this implies (4+2/b) = 0 and thus 4= - 2/b or b = -1/2

Posted from my mobile device
_________________


“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.”

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50058
Re: If (b-3)(4+2/b) = 0 and b#3, then b=  [#permalink]

Show Tags

New post 24 Dec 2013, 03:36
1
If (b-3)(4+2/b) = 0 and b#3, then b=

(A) -8
(B) -2
(C) -1/2
(D) 1/2
(E) 2

\((b-3)(4+\frac{2}{b}) = 0\) means that \(b-3=0\) or \(4+\frac{2}{b}=0\). Since \(b\neq{3}\), then \(b-3\neq{0}\) and thus \(4+\frac{2}{b}=0\). From which it follows that \(b=-\frac{1}{2}\).

Answer: C.
_________________

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

SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1829
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: If (b-3)(4+2/b) = 0 and b#3, then b=  [#permalink]

Show Tags

New post 11 Sep 2014, 02:52
Given \(b\neq{3}\) , means \(b-3\neq{0}\)

So, \(4+\frac{2}{b} = 0\)

\(b = \frac{-1}{2}\)

Answer = C
_________________

Kindly press "+1 Kudos" to appreciate :)

Intern
Intern
avatar
Joined: 30 Jan 2013
Posts: 6
If (b-3)(4+ 2/b) = 0 and not equal to 3, then b=  [#permalink]

Show Tags

New post Updated on: 27 Jun 2016, 18:25
If (b-3)(4+ 2/b) = 0 and \(b \neq {3}\), then b=

a) -8
b) -2
c)-1/2
d) 1/2
e) 2

I got the solution through substituting the answers, but could someone show me how to reduce the factors to get rid of the fraction in the second factor? How do I solve it algebriacely?

Originally posted by sabrina3509 on 27 Jun 2016, 16:24.
Last edited by Vyshak on 27 Jun 2016, 18:25, edited 1 time in total.
Formatting
SC Moderator
User avatar
D
Joined: 13 Apr 2015
Posts: 1693
Location: India
Concentration: Strategy, General Management
GMAT 1: 200 Q1 V1
GPA: 4
WE: Analyst (Retail)
GMAT ToolKit User Premium Member
Re: If (b-3)(4+ 2/b) = 0 and not equal to 3, then b=  [#permalink]

Show Tags

New post 27 Jun 2016, 18:24
1
(b - 3)(4 + 2/b) = 0

b = 3 or 2/b = -4

Its given \(b \neq {3}\)

So, 2/b = -4 --> b = -2/4 = -1/2

Answer: C
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50058
Re: If (b-3)(4+2/b) = 0 and b#3, then b=  [#permalink]

Show Tags

New post 27 Jun 2016, 21:50
sabrina3509 wrote:
If (b-3)(4+ 2/b) = 0 and \(b \neq {3}\), then b=

a) -8
b) -2
c)-1/2
d) 1/2
e) 2

I got the solution through substituting the answers, but could someone show me how to reduce the factors to get rid of the fraction in the second factor? How do I solve it algebriacely?


Merging topics.

Please refer to the discussion above.
_________________

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
User avatar
S
Status: On a 600-long battle
Joined: 22 Apr 2016
Posts: 138
Location: Hungary
Concentration: Accounting, Leadership
Schools: Erasmus '19
GMAT 1: 410 Q18 V27
GMAT 2: 490 Q35 V23
GMAT ToolKit User
Re: If (b-3)(4+2/b) = 0 and b#3, then b=  [#permalink]

Show Tags

New post 29 Apr 2017, 01:00
1
This is the Zero Product Property.

It says that, if:

a × b = 0 then a = 0 or b = 0 or both equal zero

So, in \(\left( b-3 \right) \left( 4+\cfrac { 2 }{ b } \right) =0\):

\(b-3=0\) and \(4+\cfrac { 2 }{ b } =0\)

Since \(b\neq 3\) then \(4+\cfrac { 2 }{ b } =0\rightarrow \left( 4+\cfrac { 2 }{ b } =0 \right) b\rightarrow 4b+2=0\rightarrow 4b=-2\rightarrow b=-\cfrac { 2 }{ 4 } \rightarrow b=-\cfrac { 1 }{ 2 }\)
_________________

"When the going gets tough, the tough gets going!"

|Welcoming tips/suggestions/advices (you name it) to help me achieve a 600|

Target Test Prep Representative
User avatar
P
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 3906
Location: United States (CA)
Re: If (b-3)(4+2/b) = 0 and b#3, then b=  [#permalink]

Show Tags

New post 27 Sep 2018, 17:37
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

If (b-3)(4+2/b) = 0 and b#3, then b=

(A) -8
(B) -2
(C) -1/2
(D) 1/2
(E) 2


We have:

b - 3 = 0

b = 3

Or

4 + 2/b = 0

2/b = -4

2 = -4b

-1/2 = b

Since b ≠ 3, then b must be -1/2.

Answer: C
_________________

Scott Woodbury-Stewart
Founder and CEO

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

GMAT Club Bot
Re: If (b-3)(4+2/b) = 0 and b#3, then b= &nbs [#permalink] 27 Sep 2018, 17:37
Display posts from previous: Sort by

If (b-3)(4+2/b) = 0 and b#3, then b=

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


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| 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®.