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Club Members

by manik11 » Wed Nov 04, 2015 3:03 am
Eleven members of Club A are also members of Club B, and five members of Club B are also members of Club C. How many members of Club A are also members of Club C?

1) Club B has 16 members.
2) Exactly two people from Club C are also members of Club A.

OA : B
Source : Veritas Prep

My rationale behind eliminating B was that even if there are exactly 2 members in C who are also in club A, I still wouldn't be able to determine the exact number of club A members who are also in C. It could be any number.(There could be 5 club A members in C and only 2 club C members in Club A)
Experts could you please tell me whats wrong with my thought process here?
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Source: — Data Sufficiency |
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by GMATGuruNY » Wed Nov 04, 2015 3:20 am
manik11 wrote:(There could be 5 club A members in C and only 2 club C members in Club A)
Question stem: How many members of Club A are also members of Club C?

Statement 2: Exactly two people from Club C are also members of Club A.
Image
As the Venn diagram illustrates, the number of members in the OVERLAP between C and A = 2.
Thus, exactly 2 members of A are also members of C.
SUFFICIENT.

The correct answer is B.
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