JEE Main & Advanced Mathematics Sets Question Bank Self Evaluation Test - Sets

  • question_answer
    Let N be the set of non-negative integers, I the set of integers, \[{{N}_{P}}\] the set of non-positive integers, E the set of even integers and P the set of prime numbers. Then

    A) \[I-N={{N}_{p}}\]

    B)                    \[N\cap {{N}_{p}}=\phi \]

    C) \[E\cap P=\phi \]

    D)        \[N\Delta {{N}_{p}}=I-\{0\}\]

    Correct Answer: D

    Solution :

    [d]\[N\Delta {{N}_{p}}=(N-{{N}_{p}})\cup ({{N}_{p}}-N)\] \[=\{1,\,\,2,...\}\cup \{..-2,-1\}=I-\{0\}\]


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