JEE Main & Advanced Mathematics Mathematical Logic and Boolean Algebra Question Bank Mock Test - Mathematical Reasoning

  • question_answer
    Which of the following is logically equivalent to  \[\tilde{\ }(\tilde{\ }p\Rightarrow q)?\]

    A) \[p\wedge q\]     

    B) \[p\wedge \tilde{\ }q\]

    C) \[\tilde{\ }p\wedge q\]     

    D) \[\tilde{\ }p\wedge \tilde{\ }q\]

    Correct Answer: D

    Solution :

    [d] It is clear from table that \['\sim '\]\[(\sim p\Rightarrow q)\] is equivalent to \[\sim p\wedge \sim q.\]

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