In a factory 70% of the workers like oranges and 64% likes apples. If each worker likes at least one fruit, the minimum percentage of workers who like both the fruits is ___ %

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Solution

The correct option is A 34
Given data:

Percentage of workers like oranges = 70%

Percentage of workers like apples = 64%

Let the percentage of workers who like both oranges and apples be x%

Then,

n(A∪B) = n(A) + n(B)- n(A∩B)

100 = 70 +64 - n(A∩B) [ $∵$ Since the number of wokers is given in percenatge, the total percentage of workers is 100%]

n(A∩B) = 34%

The minimum percentage of workers who like both the fruits = 34%.

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