Data Sufficiency

Is the number of members of Club X greater than the number of members of Club Y ?
(1) Of the members of Club X, 20 percent are also members of Club Y.
(2) Of the members of Club Y, 30 percent are also members of Club X.

OA: C

Is the number of members of Club X greater than the number of members of Club Y ?
(1) Of the members of Club X, 20 percent are also members of Club Y.
(2) Of the members of Club Y, 30 percent are also members of Club X.

x = club x only
y = club y only
z = club x and y

question: x+z > y+z or is x>y??? or x/y >1??

1. z = 0.2 y

2. z = 0.3 x

Combining:
x+0.3x > y+0.2 y
=> 1.3 x > 1.2 y
=> x/y < 1 (0.92) . Sufficient...

C

individual stmts are not enough as they don't say any comparable information on both clubs.

combining both 1 & 2 stmt:

as 20% of club X = 30% of club Y
hence, it is obvious that Club X has more members