Members of fitness club.

[sam2304]

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.

[rijul007]

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?

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

[santhoshsram]

I concur C