CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2004

  • question_answer
    \[\sim p\wedge q\] is logically equivalent to :

    A)  \[p\to q\]                          

    B)  \[q\to p\]

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

    D)  \[\sim (q\to p)\]

    Correct Answer: D

    Solution :

    By using truth table, we know that the proposition \[\sim \,(p\wedge q)\overset{{}}{\longleftrightarrow}\sim \,(p\vee \sim q)\] or \[\sim \,p\wedge q\] is logically equivalent to \[\sim \,(p\to q)\].


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