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JEE Main & Advanced Sample Paper JEE Main Sample Paper-10

  • question_answer
    Statement I If p is false statement and q is true statement, then
    Statement II \[\tilde{\ }p\wedge q\]equivalent to \[\tilde{\ }(p\vee \tilde{\ }q).\]

    A)  Statement I is true and Statement II is true. Statement II is the correct explanation for Statement I

    B)  Statement I is true and Statement II is true. Statement II is not the correct explanation for Statement I

    C)  Statement I is true but Statement II is false

    D)  Statement I is false but Statement II is true

    Correct Answer: A

    Solution :

     Truth table is given below
    \[p\] \[q\] \[\tilde{\ }p\] \[\tilde{\ }q\] \[(p\vee \tilde{\ }q)\] \[\tilde{\ }p\wedge q\] \[\tilde{\ }(p\vee \tilde{\ }q)\]
    F T T F F T T
    So, Statement I is true. Since, \[\tilde{\ }[p\vee (\tilde{\ }q)]=\tilde{\ }p\wedge \tilde{\ }(\tilde{\ }q)=\tilde{\ }p\wedge q\] So, Statement II is also true and Statement II is correct explanation of Statement I.


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