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JCECE Engineering JCECE Engineering Solved Paper-2013

  • question_answer
    The statement \[p\to (q\to p)\] is equivalent to

    A) \[p\to (p\leftrightarrow q)\]      

    B) \[p\to (p\to q)\]

    C) \[p\to (p\vee q)\]                          

    D) \[p\to (p\wedge q)\]

    Correct Answer: C

    Solution :

    Truth table for\[p\to (q\to p)\].
    \[q\] \[p\] \[q\to p\] \[p\to (q\to p)\] \[p\vee q\] \[p\to (p\vee q)\]
    T T F F T F T F T F T T T T T T T T T F T T T T
    So, statement \[p\to (q\to p)\] is equivalent to\[p\to (p\vee q)\].


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