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Members of fitness club.

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Members of fitness club.

by sam2304 » Sun Jan 08, 2012 11:34 pm
55 people live in an apartment complex with three fitness clubs (A, B, and C). Of the 55 residents, 40 residents are members of exactly one of the three fitness clubs in the complex. Are any of the 55 residents members of both fitness clubs A and C but not members of fitness club B?

(1) 2 of the 55 residents are members of all three of the fitness clubs in the apartment complex.
(2) 8 of the 55 residents are members of fitness club B and exactly one other fitness club in the apartment complex.
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Source: — Data Sufficiency |
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by rijul007 » Mon Jan 09, 2012 12:05 am
sam2304 wrote:55 people live in an apartment complex with three fitness clubs (A, B, and C). Of the 55 residents, 40 residents are members of exactly one of the three fitness clubs in the complex. Are any of the 55 residents members of both fitness clubs A and C but not members of fitness club B?

(1) 2 of the 55 residents are members of all three of the fitness clubs in the apartment complex.
(2) 8 of the 55 residents are members of fitness club B and exactly one other fitness club in the apartment complex.



55 people live in an apartment complex with three fitness clubs (A, B, and C). Of the 55 residents, 40 residents are members of exactly one of the three fitness clubs in the complex. Are any of the 55 residents members of both fitness clubs A and C but not members of fitness club B?

Image

a+b+c+d+e+f+g = 55
a+b+c = 40
d+e+f+g = 15

(1) 2 of the 55 residents are members of all three of the fitness clubs in the apartment complex.
g = 2
d+e+f = 13


Insufficient
(2) 8 of the 55 residents are members of fitness club B and exactly one other fitness club in the apartment complex.
d+e = 8
f+g = 15-8 = 7

Insufficient


Combining the two statements
d+e+f+g = 15
8+f+2 = 15
f = 5

Sufficient

Option C
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by santhoshsram » Mon Jan 09, 2012 12:23 am
I concur C
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