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

  • question_answer
    The negation of the statement "If I become a teacher, then I will open a school", is:

    A) I will become a teacher and I will not open a school.

    B) Either I will not become a teacher or I will not open a school.

    C) Nither I will not become a teacher or I will not open a school

    D) I will not become a teacher or I will open a school.

    Correct Answer: A

    Solution :

    [a] Let p : I become a teacher q: I will open a school Negation of \[p\to q\] is \[\sim (p\to q)=p\wedge \sim q\] i.e., I will become a teacher and I will not open a school.


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