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 = ______.

34%

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36%

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64%

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70%

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Solution

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

$n (O) = 70$ , $n (A) = 64$ , $n (O \cap A) = x$

We know $n (O \cup A) = n (O) + n (A) - n (O \cap A)$

$100 = 70 + 64 - n (O \cap A)$
$n (O \cap A) = 34 %$

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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 = ______.

The correct option is A 34%Let U = 100 As all the workers like oranges or apples n(O∪A)=100 n(O)=70, n(A)=64 , n(O∩A)=x We know n(O∪A)=n(O)+n(A)−n(O∩A) 100=70+64−n(O∩A) n(O∩A)=34%

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

$n (O) = 70$ , $n (A) = 64$ , $n (O \cap A) = x$

We know $n (O \cup A) = n (O) + n (A) - n (O \cap A)$

$100 = 70 + 64 - n (O \cap A)$
$n (O \cap A) = 34 %$