Last visit was: 28 Apr 2026, 13:29 It is currently 28 Apr 2026, 13:29
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
User avatar
ExpertsGlobal5
User avatar
Experts' Global Representative
Joined: 10 Jul 2017
Last visit: 28 Apr 2026
Posts: 6,257
Own Kudos:
6,233
 [3]
Given Kudos: 45
Location: India
GMAT Date: 11-01-2019
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 6,257
Kudos: 6,233
 [3]
1
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
User avatar
Adit_
Joined: 04 Jun 2024
Last visit: 28 Apr 2026
Posts: 724
Own Kudos:
236
 [1]
Given Kudos: 121
Products:
Posts: 724
Kudos: 236
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
Dereno
Joined: 22 May 2020
Last visit: 28 Apr 2026
Posts: 1,398
Own Kudos:
1,374
 [1]
Given Kudos: 425
Products:
Posts: 1,398
Kudos: 1,374
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
ExpertsGlobal5
User avatar
Experts' Global Representative
Joined: 10 Jul 2017
Last visit: 28 Apr 2026
Posts: 6,257
Own Kudos:
Given Kudos: 45
Location: India
GMAT Date: 11-01-2019
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 6,257
Kudos: 6,233
Kudos
Add Kudos
Bookmarks
Bookmark this Post
ExpertsGlobal5
In a class of 100, students have the choice of enrolling for three recreational activities - Soccer, Hockey, or Baseball. 60 students are enrolled for exactly one of the three activities, 28 students are enrolled for exactly two, and the number of students enrolled for all the three is thrice the number of students enrolled for none of the three activities. How many students are enrolled for none of the three activities?

A. 0
B. 3
C. 6
D. 9
E. 15


Video explanation:


User avatar
MartyMurray
Joined: 11 Aug 2023
Last visit: 28 Apr 2026
Posts: 1,852
Own Kudos:
7,133
 [1]
Given Kudos: 213
GMAT 1: 800 Q51 V51
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
GMAT 1: 800 Q51 V51
Posts: 1,852
Kudos: 7,133
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
In a class of 100, students have the choice of enrolling for three recreational activities - Soccer, Hockey, or Baseball. 60 students are enrolled for exactly one of the three activities, 28 students are enrolled for exactly two, and the number of students enrolled for all the three is thrice the number of students enrolled for none of the three activities. How many students are enrolled for none of the three activities?

Translate the information:

the number of students enrolled for all the three is thrice the number of students enrolled for none of the three activities

All three: 3x

None: x

Choose the appropriate overlapping sets formula:

Since the provided information is on the numbers enrolled in exactly one, two, three, and none of the activities, we can use the following formula:

Total = Exactly 1 + Exactly 2 + Exactly 3 + None

Set up the equation and solve:

100 = 60 + 28 + 3x + x

12 = 4x

3 = x

A. 0
B. 3
C. 6
D. 9
E. 15


Correct answer: B
Moderators:
Math Expert
109950 posts
Tuck School Moderator
852 posts