NEW HERE? LEARN MORE
closeclose
Last visit was: 24 Apr 2024, 22:50 It is currently 24 Apr 2024, 22:50
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

There are 230 students at Augustus Middle School. 80 of those students

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92900
Own Kudos [?]: 618853 [10]
Given Kudos: 81588
Send PM
CAT Tests Forum Quiz Mode
There are 230 students at Augustus Middle School. 80 of those students [#permalink] New post   23 Jun 2020, 07:46
10
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

45% (medium)

Question Stats:

70% (02:08) correct 30% (02:20) wrong based on 211 sessions
Hide Show timer Statistics
There are 230 students at Augustus Middle School. 80 of those students play football, 42 play soccer and 12 play rugby. 32 students play exactly two of the sports, and only 4 students play all three of the sports. How many of the students at Augustus Middle School play none of the three sports?

A. 94
B. 115
C. 132
D. 136
E. 140
ShowHide Answer
Official Answer
D
User avatar
L
Archit3110
GMAT Club Legend
GMAT Club Legend
Joined: 18 Aug 2017
Status:You learn more from failure than from success.
Posts: 8019
Own Kudos [?]: 4096 [3]
Given Kudos: 242
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1:
545 Q79 V79 DI73
GPA: 4
WE:Marketing (Energy and Utilities)
Send PM
GMAT ToolKit User CAT Tests
Re: There are 230 students at Augustus Middle School. 80 of those students [#permalink] New post   23 Jun 2020, 09:53
3
Kudos
Bunuel wrote:
There are 230 students at Augustus Middle School. 80 of those students play football, 42 play soccer and 12 play rugby. 32 students play exactly two of the sports, and only 4 students play all three of the sports. How many of the students at Augustus Middle School play none of the three sports?

A. 94
B. 115
C. 132
D. 136
E. 140


use
total= a+b+c-(sum of exactly 2)- 2 * ( all three)+ none
230= 80+42+12-(32)-2*(4)+none
none = 136
option D
User avatar
S
dimri10
Manager
Manager
Joined: 16 May 2011
Posts: 240
Own Kudos [?]: 308 [0]
Given Kudos: 64
Concentration: Finance, Real Estate
GMAT Date: 12-27-2011
WE:Law (Law)
Send PM
GMAT ToolKit User
Re: There are 230 students at Augustus Middle School. 80 of those students [#permalink] New post   23 Jun 2020, 15:13
hi,

when i ust a venn i get the result 136, but when i try the formula
Total = n(A) + n(B) + n(C) – n(A and B) – n(B and C) – n(C and A) + n(A and B and C) + n(No Set)

230=80+42+12 + 4(ALL) + None - 32 (2 of 3) i can not get the result. can someone elaborate.

kind regards
User avatar
L
ScottTargetTestPrep
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 18756
Own Kudos [?]: 22049 [4]
Given Kudos: 283
Location: United States (CA)
Send PM
Re: There are 230 students at Augustus Middle School. 80 of those students [#permalink] New post   02 Jul 2020, 16:28
1
Kudos
3
Bookmarks
Expert Reply
Bunuel wrote:
There are 230 students at Augustus Middle School. 80 of those students play football, 42 play soccer and 12 play rugby. 32 students play exactly two of the sports, and only 4 students play all three of the sports. How many of the students at Augustus Middle School play none of the three sports?

A. 94
B. 115
C. 132
D. 136
E. 140


Solution:

We can use the formula:

Total = n(A) + n(B) + n(C) – n(exactly two sets) - 2 * n(all 3 sets) + n(no set)

230 = 80 + 42 + 12 - 32 - 2 * 4 + n(no set)

230 = 94 + n(no set)

136 = n(no set)

Answer: D
User avatar
B
abdullaelmasri
Intern
Intern
Joined: 07 Jan 2023
Posts: 2
Own Kudos [?]: 0 [0]
Given Kudos: 4
Send PM
Re: There are 230 students at Augustus Middle School. 80 of those students [#permalink] New post   20 Feb 2023, 19:45
Hello,

the formula method makes such problems quite easy, however I get mixed up on when to add the multiplication of "2X" for the set of 3.

Some problems(Below the first sentence of the problem, I was not able to add a hyperlink) that ask for the set of 3 don't add the "2X" while the one above as it used.
"The 38 movies in the video store fall into the following three categories: 10 action, 20 drama, and 18 comedy."

Appreciate your elaboration on this, thanks!
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92900
Own Kudos [?]: 618853 [0]
Given Kudos: 81588
Send PM
CAT Tests Forum Quiz Mode
Re: There are 230 students at Augustus Middle School. 80 of those students [#permalink] New post   21 Feb 2023, 02:05
Expert Reply
abdullaelmasri wrote:
Hello,

the formula method makes such problems quite easy, however I get mixed up on when to add the multiplication of "2X" for the set of 3.

Some problems(Below the first sentence of the problem, I was not able to add a hyperlink) that ask for the set of 3 don't add the "2X" while the one above as it used.
"The 38 movies in the video store fall into the following three categories: 10 action, 20 drama, and 18 comedy."

Appreciate your elaboration on this, thanks!


You see there are two different formulae for 3 overlapping sets. One has +(all three) and another has -2(all three).

Check this topic: ADVANCED OVERLAPPING SETS PROBLEMS, it explains the logic behind the formulae in detail.

Hope it helps.
GMAT Club Bot
gmatclubot
Re: There are 230 students at Augustus Middle School. 80 of those students [#permalink]
21 Feb 2023, 02:05
Moderators:
Bunuel
Math Expert
92900 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions