In a cool bar survey, the rectangle represents all persons in the bar. The…
2024
In a cool bar survey, the rectangle represents all persons in the bar. The circle represents persons who like apple juice, the triangle represents persons who like orange juice, and the pentagon represents persons who like pineapple juice. The region counts are: apple only = 15, apple and orange = 8, orange only = 9, orange and pineapple = 6, pineapple only = 18, and rectangle-only (inside the bar but outside all three juice shapes) = 42. How many persons in the bar neither like apple juice nor orange juice?
- A.
52
- B.
60
- C.
64
- D.
48
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Correct answer: B
People who neither like apple juice nor orange juice must be inside the rectangle but outside both the apple circle and the orange triangle. From the given region counts, those regions are pineapple only = 18 and rectangle-only = 42. Therefore, required number of persons = 18 + 42 = 60.