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JEE Main & Advanced Sample Paper JEE Main - Mock Test - 15

  • question_answer
    Let U be a universal set and \[A\cup B\cup C=U\]. Then \[((A-B)\cup (B-C)\cup (C-A))'=\]

    A) \[A\cup B\cup C\]          

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

    C)  \[A\cup (B\cap C)\]       

    D)  \[A\cap (B\cap C)\]

    Correct Answer: B

    Solution :

    [b]: Clearly, \[(A-B)\cup (B-C)\cup (C-A)\] \[=(A\cup B\cup C)-(A\cap B\cap C)\] \[=(A\cap B\cap C){{[\because A\cup B\cup (C-A)]}^{C}}\] \[=\left[ (A\cap B\cap C)' \right]'=A\cap B\cap C\].


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