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

  • question_answer
    The logically equivalent proposition of \[p\Rightarrow q\]is

    A) \[(p\Rightarrow q)\vee (q\Rightarrow p)\]

    B) \[(p~\vee \,q)\Rightarrow (p\vee q)\]

    C) \[(p~\wedge \,q)~\vee \,(p~\vee \,q)\]      

    D) \[(p~\Rightarrow q)~\wedge \,(q\Rightarrow p)\]

    Correct Answer: D

    Solution :

    [d] The logically equivalent proposition of \[p\Rightarrow q\] is \[(p\Rightarrow q)\]\[(p\Rightarrow q)\Rightarrow (q\Rightarrow p)\]


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