Question

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

• A. 30
• B. 34
• C. 6
• D. 36

Answer 1

The correct option is B 34

Given data:

Percentage of workers like oranges = 70%

Percentage of workers like apples = 64%

Let the percentage of workers like both oranges and apples be x% n(A∪B) = n(A) + n(B)- n(A∩B)

When the intersection is minimum, then, the value of n(A∩B) is maximum.
From a percentage point of view, the maximum value of n(A∩B) is 100.

Thus,
100 = 70 +64 - n(A∩B)

n(A∩B) = 34%

Percentage of workers likes both the fruits = 34%.