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

  • question_answer
    Let\[n(U)=700,n(A)=200,n(B)=300,n(A\cap B)=100\]then \[n(A'\cap B')\] is equal to

    A) 400

    B)                    600

    C) 300

    D)                                None of these

    Correct Answer: C

    Solution :

    [c]\[n(A'\cap B')=n(A\cup B)'=n(U)-n(A\cup B)\] \[=n(U)-[n(A)+n(B)-n(A\cap B)]\] \[=700-[200+300-100]=300\]


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