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Question

In a factory, all the workers like oranges and apples. If 70% of the workers like oranges and 64% likes apples and x % like both apples and oranges, then x = ______.

A
34%
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B
36%
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C
64%
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D
70%
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Solution

The correct option is A 34%
Let U = 100
As all the workers like oranges or apples n(OA)=100

n(O)=70, n(A)=64 , n(OA)=x

We know n(OA)=n(O)+n(A)n(OA)

100=70+64n(OA)
n(OA)=34%



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