JEE Main & Advanced Mathematics Sets Question Bank Set theory

  • question_answer
    Given the sets \[A=\{1,\,2,\,3\},\,B=\{3,4\}\], C = {4, 5, 6}, then \[A\cup (B\cap C)\] is   [MNR 1988; Kurukshetra CEE 1996]

    A) {3}

    B) {1, 2, 3, 4}

    C) {1, 2, 4, 5}

    D) {1, 2, 3, 4, 5, 6}

    Correct Answer: D

    Solution :

    \[B\cap C=\{4\}\],  \[\therefore \]\[A\cup (B\cap C)\] = {1, 2, 3, 4}.


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