JEE Main & Advanced Sample Paper JEE Main - Mock Test - 17

  • question_answer
    Let p and q be two statements. Then, \[\left( \tilde{\ }p\vee q \right)\wedge \left( \tilde{\ }p\wedge \tilde{\ }q \right)\] is

    A) A tautology         

    B)                                   A contradiction

    C) Neither a tautology nor a contradiction  

    D) Either a tautology or a contradiction

    Correct Answer: C

    Solution :

       [c]
    p q \[\tilde{\ }p\vee q\] \[\tilde{\ }p\wedge \tilde{\ }q\] \[(\tilde{\ }p\vee q)\]\[\wedge \]\[(\tilde{\ }p\wedge \tilde{\ }q)\]
    T T T F F
    T F F F F
    F T T F
    F F T T T
    Thus, the resulting statement is neither tautology nor contradiction.           


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