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SSC Quantitative Aptitude Number System and its Operations Question Bank Set Theory (I)

  • question_answer
    If A and B are 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

    A) 0.3

    B) 0.5

    C) 0.05

    D) None of these

    Correct Answer: C

    Solution :

    [c] \[\because \]\[n\,(A\cup B)\] \[=n\,(A)+n\,(B)-n\,(A\cap B)\] \[\therefore \]      \[0.25=0.16+0.14-n\,(A\cap B)\] \[\Rightarrow \]   \[n\,(P)=12\]


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