JEE Main & Advanced Sample Paper JEE Main Sample Paper-45

  • question_answer
    Direction: For the following questions, choose the correct answers from the codes [a], [b], [c] and [d] defined as follows.
    Consider the statements
    p: Delhi is in India,
    q: Mumbai is not in Italy.
    Statement I The negation of the statement \[p\vee q\]  Delhi is not in India and Mumbai is in Italy'.
    Statement II For any two statements p and \[q\,\sim (p\vee q)\,=\,\sim \,p\,\vee \sim q\]

    A)  Statement I is true. Statement II is also true and Statement n is the correct explanation of Statement I.

    B)  Statement I is true. Statement II is also true and Statement n is not the correct explanation of Statement I.

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

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

    Correct Answer: C

    Solution :

     \[\sim \,(p\wedge q)=\sim p\wedge \sim q\] \[\therefore \] Delhi is not in India and Mumbai is in Italy.


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