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

  • question_answer
    Negation of the conditional : ?If it rains, I shall go to school? is

    A)                 It rains and I shall go to school

    B)                 It rains and I shall not go to school

    C)                 It does not rains and I shall go to school

    D)                 None of these

    Correct Answer: B

    Solution :

                       p : It rains, q : I shall go to school Thus, we have \[p\Rightarrow q\] Its negation is \[\tilde{\ }(p\Rightarrow q)\] i.e. \[p\ \wedge \tilde{\ }q\] i.e. It rains and I shall not go to school.


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