JEE Main & Advanced Mathematics Sets Question Bank Set theory

  • question_answer
    If \[aN=\{ax:x\in N\},\] then the set \[3N\cap 7N\] is

    A) 21 N

    B) 10 N

    C) 4 N

    D) None of these

    Correct Answer: A

    Solution :

    \[3N=\{x\in N:x\]is a multiple of 3} \[7N=\{x\in N:\]x is a multiple of 7} \\[3N\cap 7N\]\[=\{x\in \]is a multiple of 3 and 7}        \[=\{x\in N:x\]is a multiple of 3 and 7}        \[=\{x\in N:\]x is a multiple of 21}=21N.


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