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

  • question_answer
    X,,mmvv If the number of items of a set A n [A] = 40, \[n\,(B)=26\]and \[n\,(A\cap B)=16,\]then \[n\,(A\cup B)\]is equal to [SSC CGL Tier II, 2017]

    A) 30

    B) 40

    C) 50                                                              

    D) 60

    Correct Answer: C

    Solution :

    [c] Here \[n\,(A)=40\] \[n\,(B)=16\] \[n\,(A\cap B)=16\] So,,      \[n\,(A\cup B)=n\,(A)+n\,(B)-n\,(A\cap B)\] \[=40+26-16\] \[=66-16=50\]


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