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JEE Main & Advanced Mathematics Sets Question Bank Self Evaluation Test - Sets

  • question_answer
    There are 600 student in a school. If 400 of them can speak Telugu, 300 can speak Hindi, then the number of students who can speak both Telugu and Hindi is:

    A) 100

    B)                                200

    C) 300

    D)                                400

    Correct Answer: A

    Solution :

    [a]Let \[A\equiv \] Set off Tamil speaking students and \[B\equiv \]Hindi speaking students \[n(A)=400,n(B)=300\] and \[n(A\cup B)=600\] \[n(A\cup B)=n(A)+n(B)-n(A\cap B)\] \[\Rightarrow n(A\cap B)=n(A)+n(B)-n(A\cup B)\] \[=400+300-600=100\]


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