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28 Mar 2017, 04:56
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
67% (03:07) correct
33%
(03:07)
wrong
based on 192
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Not Attempted Yet
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
A. 233
B. 202
C. 169
D. 123
E. 86
22 Apr 2017, 23:15
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Bunuel
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.
09 Aug 2018, 02:04
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the ke'y sentence：【the charters of both the Crusaders Society and Bucolic Society do not allow members to join the other group】
thanks for N00b‘s explanation!
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.
thanks for N00b‘s explanation!
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.
