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

It is currently 20 Mar 2019, 20:45

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 2/3rds of the members of the Golf Club are also members of the Tenn

  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: 53738
If 2/3rds of the members of the Golf Club are also members of the Tenn  [#permalink]

Show Tags

New post 06 Oct 2017, 04:55
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

72% (02:38) correct 28% (02:49) wrong based on 88 sessions

HideShow timer Statistics

If 2/3rds of the members of the Golf Club are also members of the Tennis Club, and 1/2 of the members of the Tennis Club are also members of the Golf Club, what percentage of all people who belong to one or both Clubs belong only to the Golf Club?

A. 5%
B. 10%
C. 15%
D. 20%
E. 75%

This is a question given as an example by IanStewart several years ago.

_________________

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

Retired Moderator
avatar
D
Joined: 25 Feb 2013
Posts: 1216
Location: India
GPA: 3.82
GMAT ToolKit User Premium Member Reviews Badge
If 2/3rds of the members of the Golf Club are also members of the Tenn  [#permalink]

Show Tags

New post 06 Oct 2017, 07:26
1
Bunuel wrote:
If 2/3rds of the members of the Golf Club are also members of the Tennis Club, and 1/2 of the members of the Tennis Club are also members of the Golf Club, what percentage of all people who belong to one or both Clubs belong only to the Golf Club?

A. 5%
B. 10%
C. 15%
D. 20%
E. 75%

This is a question given as an example by IanStewart several years ago.


Let the no of people in Golf club be \(x\) and that in Tennis club be \(y\)

People who belong to both the club \(= \frac{2x}{3}\)

So people who belong only to golf club \(= x-\frac{2x}{3}=\frac{x}{3}\)

Also half of the Tennis club member belong to both the clubs \(= \frac{y}{2}\)

Hence people who belong only to Tennis club \(= y-\frac{y}{2}=\frac{y}{2}\)

So we have \(\frac{2x}{3}=\frac{y}{2}\)

And total no of people who belong to only one or both the clubs \(= \frac{x}{3}+\frac{y}{2}+\frac{2x}{3}=\frac{x}{3}+\frac{2x}{3}+\frac{2x}{3}=\frac{5x}{3}\)

% who belong only to Golf club \(=\frac{x}{3}/\frac{5x}{3}*100=20\)%

Option D
Senior PS Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 3361
Location: India
GPA: 3.12
Premium Member
If 2/3rds of the members of the Golf Club are also members of the Tenn  [#permalink]

Show Tags

New post 06 Oct 2017, 08:34
1
Assume a simple number for the members of the Golf club, let it be 300.
Since \(\frac{2}{3}\)rd's of the members of the Golf Club are also members of the Tennis Club(they are members of both)
Therefore, the total number of people in both the clubs are 200 members

Hence, Only golf club people is 100(300-200)
200 is also half the members of the tennis club.

Therefore, The tennis club has 400 members, of which those belonging only to the tennis club is 200

Percentage is \(\frac{100}{200 + 200 + 100} = \frac{100}{500} = 20\)%(Option D)
_________________

You've got what it takes, but it will take everything you've got

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 10151
Premium Member
Re: If 2/3rds of the members of the Golf Club are also members of the Tenn  [#permalink]

Show Tags

New post 24 Dec 2018, 02:37
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

GMAT Club Bot
Re: If 2/3rds of the members of the Golf Club are also members of the Tenn   [#permalink] 24 Dec 2018, 02:37
Display posts from previous: Sort by

If 2/3rds of the members of the Golf Club are also members of the Tenn

  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®.