GRE Prep 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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2949
Given Kudos: 1287
GPA: 3.39
In a class of 50 students, 20 play Hockey, 15 play Cricket and 11 play
[#permalink]
23 Mar 2021, 05:00
23 Mar 2021, 05:00
Expert Reply
20
Bookmarks
00:00
Question Stats:
52% (02:29) correct
47% (03:18) wrong based on 59 sessions
Hide Show timer Statistics
In a class of 50 students, 20 play Hockey, 15 play Cricket and 11 play Football. 7 play both Hockey and Cricket, 4 play Cricket and Football and 5 play Hockey and football. If 18 students do not play any of these given sports, how many students play exactly two of these sports?
A. 12
B. 10
C. 11
D. 15
E. 14
A. 12
B. 10
C. 11
D. 15
E. 14
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Given Kudos: 172
Location: India
WE:Education (Education)
Re: In a class of 50 students, 20 play Hockey, 15 play Cricket and 11 play
[#permalink]
23 Mar 2021, 09:05
23 Mar 2021, 09:05
4
2
Bookmarks
GeminiHeat wrote:
In a class of 50 students, 20 play Hockey, 15 play Cricket and 11 play Football. 7 play both Hockey and Cricket, 4 play Cricket and Football and 5 play Hockey and football. If 18 students do not play any of these given sports, how many students play exactly two of these sports?
A. 12
B. 10
C. 11
D. 15
E. 14
A. 12
B. 10
C. 11
D. 15
E. 14
Total - Leftovers = H + C + F - (H∩C) - (C∩F) - (H∩F) + (H∩C∩F)
50 - 18 = 20 + 15 + 11 - 7 - 4 - 5 + (H∩C∩F)
(H∩C∩F) = 2
Only (H∩C) = 7 - 2 = 5
Only (C∩F) = 4 - 2 = 2
Only (H∩F) = 5 - 2 = 3
So, students playing exactly two sports = 5 + 2 + 3 = 10
Hence, option B
General Discussion
Re: In a class of 50 students, 20 play Hockey, 15 play Cricket and 11 play
[#permalink]
28 Jul 2026, 16:12
28 Jul 2026, 16:12
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep 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.
Thanks to another GRE Prep 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.
