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JEE Main & Advanced Mathematics Sets Question Bank Self Evaluation Test - Sets

  • question_answer
    Which is the simplified representation of \[(A'\cap B'\cap C)\cup (B\cap C)\cup (A\cap C)\] where A, B, C are subsets of set X?

    A) A                                 

    B) B

    C) C

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

    Correct Answer: C

    Solution :

    [c]\[A'\cap B'\cap C=\] only C \[\therefore (A'\cap B'\cap C)\cup (B\cap C)\cup (A\cap C)=C\] (By Venn diagram)                                 


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