Question

In a factory, 70% of the workers like oranges and 64% likes apples. is the maximum percentage possible for workers that like both apples and oranges.

• A. 30
• B. 36
• C. 34
• D. 64

Answer 1

The correct option is D 64

Workers who like both apples and oranges form the intersection of workers who like apples and workers who like oranges.

Maximum possible area of the intersection is the area of the set that represents oranges. We know that 64% of the workers like oranges.

In this scenario, we can infer that 70% of the workers like oranges and 64 % of the workers like both apples and oranges.

Maximum percentage possible for workers that like both apples and oranges is 64%