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Question

In a committee, 50 people speak French, 20 speak Spanish and 10 speak both Spanish and French. The number of persons speaking at least one of these two languages is _____.


A

60

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B

40

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C

38

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D

58

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Solution

The correct option is A

60


People speaking atleast one language are the ones who speak French or Spanish, or both French and Spanish.

From the Venn-diagram, we observe that the number of people speaking atleast one language is n(FS).

But, n(FS)=n(F)+n(S)n(FS).

=50+2010

=60


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