Multiple Choice Questions on In a committee 50 people speak Hindi 20 speak English and 10 speak both English and Hindi The number........... for Graduation cum Career Security Preparation

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    In a committee, 50 people speak Hindi, 20 speak English and 10 speak both English and Hindi. The number of persons speaking at least one of these two language is

    38

    Incorrect Answer

    60

    Correct Answer

    40

    Incorrect Answer

    none of these

    Incorrect Answer
    Explanation:

    Let F and F represent the set of people in the committee who speak Spanish and French respectively. 
    Given that n(F) = 50, n(S) = 20 and n(S ∩ F) = 10 
    Use the formula: 
    n(S ∪ F) = n(S) + n(F) - n(S ∩ F) 
    Plug the values, we get 
    20 + 50 - 10 
    70 - 10 = 60

    Hence, option 2 is the correct answer.


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