2. Sample Papers
  3. JEE Main & Advanced

JEE Main & Advanced Sample Paper JEE Main Sample Paper-1

  • question_answer
    The proposition is a \[(p\Rightarrow \tilde{\ }p)\wedge (\tilde{\ }p\Rightarrow p)\]is a

    A)  tautology and contradiction

    B)  neither tautology nor contradiction

    C)  contradiction   

    D)  tautology

    Correct Answer: C

    Solution :

    \[p\] \[\tilde{\ }p\] \[p\Rightarrow \tilde{\ }p\] \[\tilde{\ }p\Rightarrow p\] \[(p\Rightarrow \tilde{\ }p)\]\[\wedge (\tilde{\ }p\Rightarrow p)\]
    T F F T F
    F T T F F
    It is clear from the table that given proposition is a contradiction.


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