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

It is currently 19 Aug 2018, 18:38

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

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: 12 Sep 2015
Posts: 2707
Location: Canada
At a certain school, 40 percent of the students play rugby  [#permalink]

Show Tags

New post 20 Sep 2016, 13:49
Top Contributor
6
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

65% (01:44) correct 35% (01:21) wrong based on 157 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


_________________

Brent Hanneson – Founder of gmatprepnow.com

Image

Board of Directors
User avatar
V
Status: Stepping into my 10 years long dream
Joined: 18 Jul 2015
Posts: 3690
Premium Member Reviews Badge CAT Tests
Re: At a certain school, 40 percent of the students play rugby  [#permalink]

Show Tags

New post 21 Sep 2016, 01:21
2
2
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

Intern
Intern
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, 12:28
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, 19:09
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: 423
Concentration: Finance, Marketing
Re: At a certain school, 40 percent of the students play rugby  [#permalink]

Show Tags

New post 29 Sep 2017, 20:43
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.
Re: At a certain school, 40 percent of the students play rugby &nbs [#permalink] 29 Sep 2017, 20:43
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  

Events & Promotions

PREV
NEXT


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®.