JEE Main & Advanced Mathematics Sets Question Bank Set theory

  • question_answer
    Let A = {a, b, c}, B  = {b, c, d}, C = {a, b, d, e}, then  is  \[A\text{ }\cap \text{ }\left( B\text{ }\cup \text{ }C \right)\]   [Kurukshetra CEE 1997]

    A) {a, b, c}

    B) {b, c, d}

    C) {a, b, d, e}

    D) {e}

    Correct Answer: A

    Solution :

    \[B\cup C=\{a,\,b,\,c,\,d,\,e\}\] \\[A\cap (B\cup C)=\{a,\,b,\,c\}\cap \{a,\,b,\,c,\,d,e\,\}\]\[=\{a,\,b,c\}\].


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