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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2505
Given Kudos: 1055
GPA: 3.39
In a class of 50 students, 20 play Hockey, 15 play Cricket and 11 play
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23 Mar 2021, 05:00
23 Mar 2021, 05:00
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Question Stats:
54% (02:23) correct
45% (03:22) wrong based on 44 sessions
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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
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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
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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]
18 Jan 2025, 08:47
18 Jan 2025, 08:47
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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).
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