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Manager
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There are 30 people and 3 clubs M, S, and Z in a company. 10 people jo
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12 Jul 2011, 22:26
Question Stats:
75% (01:39) correct 25% (01:39) wrong based on 71 sessions
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There are 30 people and 3 clubs M, S, and Z in a company. 10 people joined M, 12 people joined S and 5 people joined Z. If the members of M did not join any other club, at most, how many people of the company did not join any club? A: 4 B: 5 C: 6 D: 7 E: 8
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Joined: 24 Mar 2011
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Re: There are 30 people and 3 clubs M, S, and Z in a company. 10 people jo
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12 Jul 2011, 22:44
Answer E.
key is 'atmost' here.
so 10 people joined M.
12 people joined S and 5 people joined Z. to get maximum people who did not join any club, 5 people who joined Z are among 12 people who joined S.
so 12+10 = 22 3022 = 8



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Re: There are 30 people and 3 clubs M, S, and Z in a company. 10 people jo
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15 Mar 2018, 04:36
If the problem asked "at minimum" instead of "at most" were the answer 3 people? Thanks to everyone, I am trying to deepen my knowledge about sets problems



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Re: There are 30 people and 3 clubs M, S, and Z in a company. 10 people jo
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15 Mar 2018, 05:30
MvArrow wrote: If the problem asked "at minimum" instead of "at most" were the answer 3 people? Thanks to everyone, I am trying to deepen my knowledge about sets problems Hey MvArrow , Yes, your thinking is correct. If you are saying all the members are not joining any other club, then you will have people who didn't join any club = 30  (10+12+5) = 3 Does that make sense?
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Joined: 06 Sep 2016
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Re: There are 30 people and 3 clubs M, S, and Z in a company. 10 people jo
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15 Mar 2018, 07:14
abhimahna wrote: MvArrow wrote: If the problem asked "at minimum" instead of "at most" were the answer 3 people? Thanks to everyone, I am trying to deepen my knowledge about sets problems Hey MvArrow , Yes, your thinking is correct. If you are saying all the members are not joining any other club, then you will have people who didn't join any club = 30  (10+12+5) = 3 Does that make sense? Sure! Thanks for confirming my reasoning



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Re: There are 30 people and 3 clubs M, S, and Z in a company. 10 people jo
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19 Mar 2018, 06:37
Alchemist1320 wrote: There are 30 people and 3 clubs M, S, and Z in a company. 10 people joined M, 12 people joined S and 5 people joined Z. If the members of M did not join any other club, at most, how many people of the company did not join any club?
A: 4 B: 5 C: 6 D: 7 E: 8 To find the maximum number of people of the company who did not join any club, we can assume that all 5 people who joined club Z also joined club S. Since 10 people joined club M (and no other clubs) and 12 people joined club S or club Z or both, we have 10 + 12 = 22 people who joined at least one club. Thus, at most, 30  22 = 8 people did not join any club. Answer: E
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Re: There are 30 people and 3 clubs M, S, and Z in a company. 10 people jo
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27 Mar 2018, 00:46
can someone let me know where is my understanding of this problem incorrect. Now when the question is saying that the members of M didnt join any other club then there are 10 people who didnt join s or z . so only M is 10. Im i correct?




Re: There are 30 people and 3 clubs M, S, and Z in a company. 10 people jo
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27 Mar 2018, 00:46






