JEE Main & Advanced Sample Paper JEE Main - Mock Test - 3

  • question_answer
    If statements p and q take truth values as TT, TF, FT, FF in order, then the respective truth values of statement \[(p\to q)\leftrightarrow (-p\to -q)\] will be

    A) T, F, F, T       

    B) T, F, F, F            

    C) F, F, F, F             

    D) T, T, T, T

    Correct Answer: A

    Solution :

         [a]
    p q \[p\to q\] \[\tilde{\ }p\] \[\tilde{\ }q\] \[\tilde{\ }p\] \[\to \] \[\tilde{\ }q\] \[(p\to q)\]\[\leftrightarrow \] \[(\tilde{\ }p\to \]\[\tilde{\ }q)\]
    T T T F F T T
    T F F F T T F
    F T T T F F F
    F F T T T T T


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