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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 A and B are two subsets of a set X, then what is \[A\cap (A\cup B)'\]equal to?

    A) A

    B) B

    C) \[\phi \]

    D) A'

    Correct Answer: C

    Solution :

    [c] \[A\cap (A\cup B)'=A\cap (A'\cap B')\] [De-Morgan's law] \[=(A\cap A')\cap B'\] [associative law] \[=\phi \cap B'=\phi \]


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