JEE Main & Advanced Sample Paper JEE Main Sample Paper-25

  • question_answer
    Let p and q be two statements. Then, \[(\sim p\wedge q)\wedge (\sim p\wedge \sim q)\] is a

    A)  tautology                          

    B)  contradiction                     

    C)  neither tautology nor contradiction

    D)  either tautology or contradiction

    Correct Answer: C

    Solution :

    p q \[\tilde{\ }p\vee q\] \[\tilde{\ }p\hat{\ }\tilde{\ }q\] \[(\tilde{\ }p\vee q)\,\hat{\ }(\tilde{\ }p\hat{\ }\tilde{\ }q)\]
    T T T F F
    T F F F F
    F T T F F
    F F T T T
    \[\therefore \,\] Neither tautology nor contradiction.


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