VIT Engineering VIT Engineering Solved Paper-2008

  • question_answer
    Let p, q, r and s be statements and suppose that \[p\to q\to r\to p.\]If \[\tilde{\ }s\to r,\]then

    A)  \[s\to \,\tilde{\ }q\]

    B)  \[\tilde{\ }q\to s\]

    C)  \[\tilde{\ }s\to \,\tilde{\ }q\]

    D)  \[q\to \,\tilde{\ }s\]

    Correct Answer: B

    Solution :

    \[\because \]\[p\to q\to r\to p\]and\[\tilde{\ }s\to r\]
    \[\text{s}\] \[\text{q}\] \[\text{r}\] \[\text{ }\!\!\tilde{\ }\!\!\text{ }\,\text{s}\] \[\text{ }\!\!\tilde{\ }\!\!\text{ }\,\text{q}\] \[\text{r}\] \[\tilde{\ }s\to r\] \[\tilde{\ }s\to s\]
    T T T T F T T T
    T F T T T T T T
    F T T F F T F F
    F F T F T T T T
    T T F T F F T T
    T F F T T F T T
    F T F F F F F F
    F F F F T F T T
    \[\Rightarrow \] Options [c] and [d] are not true also\[\tilde{\ }s\to r\] \[\therefore \] Option [a] is not true. Hence, option [b] is correct.


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