\(55\) people live in an apartment complex with three fitness clubs (\(A, B,\) and \(C\)). Of the \(55\) residents,

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\(55\) 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.

Answer: E

Source: Manhattan GMAT
Source: — Data Sufficiency |