JEE Main & Advanced Mathematics Sets Question Bank Set theory

  • question_answer
    Let A and B be two sets such that \[n(A)=0.16,\,n(B)=0.14,\,n(A\cup B)=0.25\]. Then \[n(A\cap B)\] is equal to [JMIEE 2001]

    A) 0.3

    B) 0.5

    C) 0.05

    D) None of these

    Correct Answer: C

    Solution :

    \[n(A\cup B)=n(A)+n(B)-n(A\cap B)\] \[0.25=0.16+0.14-n(A\cap B)\] Þ \[n(A\cap B)=0.30-0.25=0.05\].


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