JEE Main & Advanced AIEEE Solved Paper-2013

  • question_answer
    Consider: Statement − I:\[(p\wedge \sim q)\wedge (\sim p\wedge q)\]is a fallacy. Statement II:\[(p\to q)\leftrightarrow (\sim q\to \sim p)\]is a tautology.     AIEEE Solevd Paper-2013

    A) Statement − I is true; Statement − II is true; Statement − II is a correct explanation for Statement I.

    B) Statement − I is true; Statement − II is true; Statement − II is not a correct explanation for Statement − I.

    C) Statement − I is true; Statement − II is false.

    D) Statement − I is false; Statement − II is true.

    Correct Answer: B

    Solution :

    \[P\] \[q\] \[\sim P\] \[\sim q\] \[P\hat{\ }\sim q\] \[\tilde{\ }P\hat{\ }q\]  
    T T F F F F F
    T F F T T F F
    F T T F F T F
    F F T T F F F
    It is Fallacy
    \[P\] \[q\] \[\sim P\] \[\sim q\] \[P\to q\] \[\sim q\to \tilde{\ }P\] \[(p\to q)\leftrightarrow (\sim q\to \tilde{\ }P)\]
    T T F F T T T
    T F F T T T T
    F T T F F F T
    F F T T T T T
    It is tautology


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