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JEE Main & Advanced Mathematics Sets Question Bank Set theory

  • question_answer
    Let \[U=\{1,\,2,\,3,\,4,\,5,\,6,\,7,\,8,\,9,\,10\}\], \[A=\{1,\,2,\,5\},\,B=\{6,\,7\}\], then \[A\cap {B}'\] is

    A) \[{B}'\]

    B) A

    C) \[{A}'\]

    D) B

    Correct Answer: A

    Solution :

    \[{B}'=\{1,\,2,\,3,\,4,\,5,\,8\,,9,\,10\}\] \\[A\cap {B}'=\{1,\,2,\,5\}\cap \{1,\,2,\,3,\,4,\,5,\,8,\,9,\,10\}=\{1,\,2,\,5\}=A\]


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