11th Class Mathematics Sample Paper Mathematics Olympiad - Sample Paper-3

  • question_answer
    In a committee, 50 people speak Hindi, 20 speak English and 10 speak both Hindi and English then how many speak at least one of these two language?

    A)  40                               

    B)  50           

    C)  60                               

    D)  80

    Correct Answer: C

    Solution :

    [c] \[\because \]Let A = set of Hindi speaking people B = Set of English speaking people Given, \[n\left( A \right)=50,n\left( B \right)=20\] \[n\left( A\cap B \right)=10\] \[\therefore n\left( A\cup B \right)\] \[=n\left( A \right)+n\left( B \right)-n\left( A\cap B \right)=50+20-10=60\]Hence, option [c] is correct

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