swerve wrote:How many members of a certain country club play both squash and racquetball?
1) 110 members of the country club play either squash or racquetball.
2) 70 members of the country club play squash and 65 members of the country club play racquetball.
The OA is C
Source: Veritas Prep
Say,
the total members of the country club play either squash or racquetball = T;
the total members of the country club play squash = S;
the total members of the country club play racquetball = R; and
the total members of the country club play both squash and racquetball = B
Thus, we have
T = S + R - B
We have to find out the value of B.
Let's take each statement one by one.
1) 110 members of the country club play either squash or racquetball.
T = 110. Can't get B. Insufficient.
2) 70 members of the country club play squash and 65 members of the country club play racquetball.
S = 70 and R = 65. Can't get B. Insufficient.
(1) and (2) together
From T = S + R - B, we have
110 = 70 + 65 - B
B = 25. Sufficient.
The correct answer:
C
Hope this helps!
-Jay
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