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JEE Main & Advanced Mathematics Mathematical Logic and Boolean Algebra Question Bank Mathematical Logic

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    Negation of ?Ram is in Class X or Rashmi is in Class XII? is

    A)                 Ram is not in class X but Ram is in class XII

    B)                 Ram is not in class X but Rashmi is not in class XII

    C)                 Either Ram is not in class X or Ram is not in class XII

    D)                 None of these

    Correct Answer: D

    Solution :

                       Let p : Ram is in Class X, q : Rahim is in class XII Given proposition is \[p\vee q\] Its negation is \[\tilde{\ }(p\vee q)=\ \tilde{\ }p\,\wedge \tilde{\ }q\] i.e. Ram is not in class X and Rahim is not in class XII.


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