JEE Main & Advanced JEE Main Paper (Held On 16 April 2018)

  • question_answer
    \[p\to (\tilde{\ }pV\tilde{\ }q)\]is false, then the truth values of p and q are respectively. [JEE Main 16-4-2018]

    A)  T, F                            

    B)  F, F

    C)  F, T                            

    D)  T, T

    Correct Answer: D

    Solution :

     
    p Q ~p ~q \[\tilde{\ }pV\tilde{\ }q\] \[p\to (\tilde{\ }pV\tilde{\ }q)\]
    T T F F F F
    T F F T T T
    F T T F T T
    F F T T T T
    It can be seen from the truth table that \[p\to (\tilde{\ }pV\tilde{\ }q)\]is false only when p and q both are true. Hence, answer is option D.


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