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

  • question_answer
    If A, B and C are three finite sets, then what is \[[(A\cup B)\cap C]'\]equal to?

    A) \[A'\cup B'\cap C'\]

    B) \[A'\cap B'\cap C'\]

    C) \[A'\cap B'\cup C'\]

    D) \[A\cap B\cap C\]

    Correct Answer: C

    Solution :

    [c] We know that, \[[(A\cup B)\cap C]'=(A\cup B)'\cup C'\] \[=(A'\cap B')\cup C'\] \[=A'\cap B'\cup C'\] [by De-Morgan's law]


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