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JEE Main & Advanced Mathematics Mathematical Logic and Boolean Algebra Question Bank Self Evaluation Test - Mathematical Reasoning

  • 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 runs 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 :

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


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