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In a certain high school, there are 31 students who are members of the

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In a certain high school, there are 31 students who are members of the  [#permalink]

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New post 13 Apr 2018, 01:52
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82% (01:08) correct 18% (01:04) wrong based on 38 sessions

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In a certain high school, there are 31 students who are members of the chess club or the swim team or both. How many students belong to either the chess club or the swim team, but not both?

(1) The chess club has 24 members.
(2) The swim team has 20 members.

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Re: In a certain high school, there are 31 students who are members of the  [#permalink]

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New post 13 Apr 2018, 01:58
Bunuel wrote:
In a certain high school, there are 31 students who are members of the chess club or the swim team or both. How many students belong to either the chess club or the swim team, but not both?

(1) The chess club has 24 members.
(2) The swim team has 20 members.


Only chess club + only swim team + both = 31

Hence :

Chess club + Swim team - both = 31.

(1) Chess = 24. Insuff as we do not know about swim team.

(2) Swim = 20. Insuff as we do not know about chess club.

(1) + (2) :

24 + 20 - both = 31
both = 44 - 31 = 13

Hence only chess + only swim = 31 - 13 = 18. Hence Suff.

Hence Option (C) is our answer.

Best,
Gladi
Re: In a certain high school, there are 31 students who are members of the &nbs [#permalink] 13 Apr 2018, 01:58
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