JEE Main & Advanced Mathematics Sets Question Bank Set theory

  • question_answer
    If \[{{N}_{a}}=[an:n\in N\},\] then \[{{N}_{5}}\cap {{N}_{7}}=\] [Kerala (Engg.) 2005]

    A) \[{{N}_{7}}\]

    B) N

    C) \[{{N}_{35}}\]

    D) \[{{N}_{5}}\] \[{{N}_{12}}\]

    Correct Answer: C

    Solution :

    \[{{N}_{5}}\cap {{N}_{7}}={{N}_{35}}\], [\[\because \]5 and 7 are relatively prime numbers].


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