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

It is currently 17 Jan 2019, 12:19

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 in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
  • The winning strategy for a high GRE score

     January 17, 2019

     January 17, 2019

     08:00 AM PST

     09:00 AM PST

    Learn the winning strategy for a high GRE score — what do people who reach a high score do differently? We're going to share insights, tips and strategies from data we've collected from over 50,000 students who used examPAL.
  • Free GMAT Strategy Webinar

     January 19, 2019

     January 19, 2019

     07:00 AM PST

     09:00 AM PST

    Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

At a certain school, 40 percent of the students play rugby

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

Hide Tags

 
CEO
CEO
User avatar
D
Joined: 11 Sep 2015
Posts: 3331
Location: Canada
At a certain school, 40 percent of the students play rugby  [#permalink]

Show Tags

New post 20 Sep 2016, 12:49
Top Contributor
11
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

65% (01:52) correct 35% (01:29) wrong based on 197 sessions

HideShow timer Statistics

At a certain school, 40 percent of the students play both rugby and play chess. If 40 percent of the students who play rugby do not play chess, what percent of the students play rugby?

A) 60
B) 66 2/3
C) 72
D) 75
E) 80

Kudos for all correct solutions


_________________

Test confidently with gmatprepnow.com
Image

Most Helpful Community Reply
Board of Directors
User avatar
V
Status: Stepping into my 10 years long dream
Joined: 18 Jul 2015
Posts: 3627
Premium Member Reviews Badge
Re: At a certain school, 40 percent of the students play rugby  [#permalink]

Show Tags

New post 21 Sep 2016, 00:21
2
3
GMATPrepNow wrote:
At a certain school, 40 percent of the students play both rugby and play chess. If 40 percent of the students who play rugby do not play chess, what percent of the students play rugby?

A) 60
B) 66 2/3
C) 72
D) 75
E) 80

Kudos for all correct solutions




Let total be 100.

A : Only Rugby
B : Both Rugby and Chess
C : Only Chess

A+B+C =100

Also, B = 40 (Given)

We are given 40% of (A+B) = A

or 2 (A+40) = 3A

or A = 80/3

Now, We need to find (A+B)/Total *100 = 66 2/3. Hence, B is the answer.
_________________

My GMAT Story: From V21 to V40
My MBA Journey: My 10 years long MBA Dream
My Secret Hacks: Best way to use GMATClub | Importance of an Error Log!
Verbal Resources: All SC Resources at one place | All CR Resources at one place
Blog: Subscribe to Question of the Day Blog
GMAT Club Inbuilt Error Log Functionality - View More.
New Visa Forum - Ask all your Visa Related Questions - here.
New! Best Reply Functionality on GMAT Club!
Find a bug in the new email templates and get rewarded with 2 weeks of GMATClub Tests for free
Check our new About Us Page here.

General Discussion
Current Student
avatar
B
Joined: 23 May 2016
Posts: 24
Location: United States (WA)
Schools: Foster '20 (M$)
GMAT 1: 710 Q49 V38
GPA: 3.5
WE: Engineering (Energy and Utilities)
Re: At a certain school, 40 percent of the students play rugby  [#permalink]

Show Tags

New post 21 Sep 2016, 11:28
2
1
Explanation:

40% of Total Students play Rugby and Chess.

40% of Rugby players only play Rugby ---> 60% of rugby players play rugby and chess ---> 60%R = 40% Total Students

Rugby = 40%/60% x Total Students = 66 2/3% Total Students
Intern
Intern
avatar
B
Joined: 21 Sep 2016
Posts: 29
Re: At a certain school, 40 percent of the students play rugby  [#permalink]

Show Tags

New post 05 Sep 2017, 18:09
Solved this in another way, though I must confess I don't know whether that's correct or not, but let me present it:

Imo, this is a conditional probability problem.
Let R be "people that play rugby" and C, "people that play chess".

We know that:

1) P(C and R) = 0,4
2) P(not C | R) = 0,4

Looking at 2), we know that P(not C | R) = 1 - P(C|R), thus: P(C|R) = 0,6

Now, we know that P(C|R) = P(C and R) / P(R):

0,6 = 0,4 / P(R) -> P(R) = 0,4/0,6 = 2/3 (B)
Senior Manager
Senior Manager
avatar
S
Joined: 07 Sep 2014
Posts: 345
Concentration: Finance, Marketing
Re: At a certain school, 40 percent of the students play rugby  [#permalink]

Show Tags

New post 29 Sep 2017, 19:43
abhimahna wrote:
GMATPrepNow wrote:
At a certain school, 40 percent of the students play both rugby and play chess. If 40 percent of the students who play rugby do not play chess, what percent of the students play rugby?

A) 60
B) 66 2/3
C) 72
D) 75
E) 80

Kudos for all correct solutions






Let total be 100.

A : Only Rugby
B : Both Rugby and Chess
C : Only Chess

A+B+C =100

Also, B = 40 (Given)

We are given 40% of (A+B) = A

or 2 (A+40) = 3A

or A = 80/3

Now, We need to find (A+B)/Total *100 = 66 2/3. Hence, B is the answer.




Aren't we forgetting people who are not going to play both chess and rugby.
without mentioning the fact that all the student will play one of the game, this question can't be solved.
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 9417
Premium Member
Re: At a certain school, 40 percent of the students play rugby  [#permalink]

Show Tags

New post 27 Oct 2018, 06:42
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: At a certain school, 40 percent of the students play rugby &nbs [#permalink] 27 Oct 2018, 06:42
Display posts from previous: Sort by

At a certain school, 40 percent of the students play rugby

  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®.