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Of the 330 people living on the island of Lesbos, two thirds of them

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Of the 330 people living on the island of Lesbos, two thirds of them [#permalink]

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New post 28 Mar 2017, 04:56
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Question Stats:

65% (02:15) correct 35% (02:40) wrong based on 56 sessions

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Of the 330 people living on the island of Lesbos, two thirds of them are members of various nature groups. 46 people are only members of both the Bucolic Society and the Animal Awareness Group, while 18 people are in neither the Crusaders for Nature Society nor the Bucolic Society. If 33 people are only members of both Animal Awareness and Crusaders, and the charters of both the Crusaders Society and Bucolic Society do not allow members to join the other group, how many people living on the island of Lesbos are solely members of the Crusaders Society or solely members of the Bucolic Society?

A. 233
B. 202
C. 169
D. 123
E. 86

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Of the 330 people living on the island of Lesbos, two thirds of them [#permalink]

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New post 22 Apr 2017, 23:15
Bunuel wrote:
Of the 330 people living on the island of Lesbos, two thirds of them are members of various nature groups. 46 people are only members of both the Bucolic Society and the Animal Awareness Group, while 18 people are in neither the Crusaders for Nature Society nor the Bucolic Society. If 33 people are only members of both Animal Awareness and Crusaders, and the charters of both the Crusaders Society and Bucolic Society do not allow members to join the other group, how many people living on the island of Lesbos are solely members of the Crusaders Society or solely members of the Bucolic Society?

A. 233
B. 202
C. 169
D. 123
E. 86


Well, since no one has answered, I'll take a stab at it. First time posting in GMATclub so pardon any issues. This problem is easiest to be visualized with a venn diagram.

So (2/3)*330 = 220 is the total amount of people that are part of some group. We know that people in A + B = 46, A + C = 33, and A alone = 18. There is 0 people in B + C. The key thing here is that people from group B and group C CANNOT be in both groups, so we know that there is no one in all three groups.

So then we just sum 46 + 33 + 18 = 97 [this is group A]. Now 220 - group A = 220 - 97 = 123 so D is the answer.

Hope this helps! Let me know if there are any mistakes.
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Re: Of the 330 people living on the island of Lesbos, two thirds of them [#permalink]

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New post 28 Apr 2017, 15:26
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Bunuel wrote:
Of the 330 people living on the island of Lesbos, two thirds of them are members of various nature groups. 46 people are only members of both the Bucolic Society and the Animal Awareness Group, while 18 people are in neither the Crusaders for Nature Society nor the Bucolic Society. If 33 people are only members of both Animal Awareness and Crusaders, and the charters of both the Crusaders Society and Bucolic Society do not allow members to join the other group, how many people living on the island of Lesbos are solely members of the Crusaders Society or solely members of the Bucolic Society?

A. 233
B. 202
C. 169
D. 123
E. 86


Bunuel,

It took me alomst 4 min to solve this question. I could not understand Crusaders for Nature Society and Crusader Society is same and hang up there for a while.
What is the best way to solve these questions - I was confused whether I start drawing overlapping sets or just work of the equations.
Re: Of the 330 people living on the island of Lesbos, two thirds of them   [#permalink] 28 Apr 2017, 15:26
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Of the 330 people living on the island of Lesbos, two thirds of them

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