GMAT Changed on April 16th - Read about the latest changes here

It is currently 24 May 2018, 03:20

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

In a certain country, 60 percent of the population likes basketball, a

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

Hide Tags

Expert Post
2 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 45333
In a certain country, 60 percent of the population likes basketball, a [#permalink]

Show Tags

New post 10 Feb 2015, 08:39
2
This post received
KUDOS
Expert's post
4
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

77% (01:02) correct 23% (01:29) wrong based on 181 sessions

HideShow timer Statistics

In a certain country, 60 percent of the population likes basketball, and 30 percent of the population likes both basketball and golf. What percentage of the people who like basketball also like golf?

A. 20%
B. 33%
C. 40%
D. 50%
E. 67%

Kudos for a correct solution.

_________________

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

1 KUDOS received
Manager
Manager
avatar
Joined: 23 Jan 2013
Posts: 164
Concentration: Technology, Other
Schools: Haas
GMAT Date: 01-14-2015
WE: Information Technology (Computer Software)
GMAT ToolKit User
Re: In a certain country, 60 percent of the population likes basketball, a [#permalink]

Show Tags

New post 10 Feb 2015, 11:21
1
This post received
KUDOS
Since we are given 60 % of the population like basket ball assuming the population to be 100 .

60 people like basket ball .

30 % of the population like basketball as well as golf .Translates into 30 people like basket ball and golf using the assumption total population is 100.

Referring to diagram

Therefore people who like basket ball who also like golf are 30 / 60 = 50 %
Attachments

game.PNG
game.PNG [ 2.74 KiB | Viewed 2410 times ]

Manager
Manager
avatar
Joined: 17 Dec 2013
Posts: 58
GMAT Date: 01-08-2015
GMAT ToolKit User
Re: In a certain country, 60 percent of the population likes basketball, a [#permalink]

Show Tags

New post 10 Feb 2015, 13:16
Quote:
In a certain country, 60 percent of the population likes basketball, and 30 percent of the population likes both basketball and golf. What percentage of the people who like basketball also like golf?

A. 20%
B. 33%
C. 40%
D. 50%
E. 67%

The math is really easy, if you know what you want. What percentage of the people who like basketball also like golf?

Since 0,6x like basketball, and 0,3x like basketball and golf, we know that 0,3x/0,6x like both -> 50%
1 KUDOS received
SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1837
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: In a certain country, 60 percent of the population likes basketball, a [#permalink]

Show Tags

New post 10 Feb 2015, 20:16
1
This post received
KUDOS
Answer = D. 50%

Say total population = 100

People liking Basketball = 60

People liking Basketball with Golf = 30

Percentage\(= \frac{30}{60} * 100 = 50%\)
_________________

Kindly press "+1 Kudos" to appreciate :)

1 KUDOS received
Manager
Manager
avatar
Joined: 27 Oct 2013
Posts: 241
Location: India
Concentration: General Management, Technology
GMAT Date: 03-02-2015
GPA: 3.88
Re: In a certain country, 60 percent of the population likes basketball, a [#permalink]

Show Tags

New post 11 Feb 2015, 03:25
1
This post received
KUDOS
1
This post was
BOOKMARKED
Here we go:

Say there are 100 persons in the country

So we have 60 who like basketball.

30 like {Basketball + Golf}

percentage of the people who like basketball also like golf will be given by

{Basketball + Golf} / Basketball * 100 ----> 30 / 60 * 100 ---> 50%

option D is correct
Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 45333
Re: In a certain country, 60 percent of the population likes basketball, a [#permalink]

Show Tags

New post 16 Feb 2015, 05:43
Bunuel wrote:
In a certain country, 60 percent of the population likes basketball, and 30 percent of the population likes both basketball and golf. What percentage of the people who like basketball also like golf?

A. 20%
B. 33%
C. 40%
D. 50%
E. 67%

Kudos for a correct solution.


VERITAS PREP OFFICIAL SOLUTION

Correct Answer: (D).

Since this is a percent problem without concrete numbers, we can assign our own. If we assume that there are 100 people in the country, then 60 people like basketball, and 30 people like basketball and golf. We’re looking for people who like both divided by people who like basketball, so 30/60 = 50%, or choice 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

Senior Manager
Senior Manager
avatar
Joined: 02 Dec 2014
Posts: 355
Location: Russian Federation
Concentration: General Management, Economics
GMAT 1: 640 Q44 V33
WE: Sales (Telecommunications)
Re: In a certain country, 60 percent of the population likes basketball, a [#permalink]

Show Tags

New post 20 Sep 2015, 03:34
Hi guys! I have a question.
Is it correct to say that if 60 people like basketball (and golf) and 30 like both then number of people who like only basketball is 30. Hence 60-30=30 who like only golf and hence share of people who like only golf is (30/60)=50%. Is this correct? Thanks!
_________________

"Are you gangsters?" - "No we are Russians!"

Expert Post
EMPOWERgmat Instructor
User avatar
D
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 11660
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: 340 Q170 V170
Re: In a certain country, 60 percent of the population likes basketball, a [#permalink]

Show Tags

New post 06 Mar 2018, 12:43
Hi All,

Shelrod007's approach is a great way to solve this problem - it allows you to TEST a VALUE for the total population, then figure out (and compare) the two subgroups in a really easy way.

The algebra approach isn't too bad though:

X = Total population
.6X = percentage of population that likes basketball
.3X = percentage of populations that likes BOTH basketball and gold

*Note: the prompt does NOT say that 60% of the population likes JUST basketball; this means that the 30% who like BOTH sports are included in the 60% who like basketball*

"What percentage of people who like basketball also like golf?"

%Both/%basketball = .3X/.6X = .3/.6 = 3/6 = 1/2 = 50%

Final Answer:

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!***********************

Re: In a certain country, 60 percent of the population likes basketball, a   [#permalink] 06 Mar 2018, 12:43
Display posts from previous: Sort by

In a certain country, 60 percent of the population likes basketball, a

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


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®.