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  5. Number System and its Operations

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

  • question_answer
    If \[n\,(A)=115,\]\[n\,(B)=326\]and \[n\,(A-B)=47,\]then what is \[n\,(A\cup B)\]?

    A) 373

    B) 375

    C) 300

    D) None of these

    Correct Answer: A

    Solution :

    [a] \[\because \]\[n(A-B)=n(A)-n(A\cap B)\]             \[\Rightarrow \]   \[47=115-n(A\cap B)\]             \[\Rightarrow \]   \[n\,(A\cap B)=68\] Then,    \[n\,(A\cup B)=n\,(A)+n\,(B)-n\,(A\cap B)\] \[=115+326-68=373\]


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