JEE Main & Advanced Mathematics Mathematical Logic and Boolean Algebra Question Bank Mathematical Logic

  • question_answer
    The logically equivalent proposition of \[p\Leftrightarrow q\] is [Karnataka CET 2000]

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

    B)                 \[(p\Rightarrow q)\wedge (q\Rightarrow p)\]

    C)                 \[(p\wedge q)\vee (q\Rightarrow p)\] 

    D)                 \[(p\wedge q)\Rightarrow (q\vee p)\]

    Correct Answer: B

    Solution :

                    \[(p\Rightarrow q)\wedge (q\Rightarrow p)\] means \[p\Leftrightarrow q\].


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