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

  • question_answer
    The statement 'If \[{{2}^{2}}=5\] then I get first class'? is logically equivalent to

    A) \[{{2}^{2}}=5\] and I do not get first class

    B) \[{{2}^{2}}=5\] or I do not get first class

    C) \[{{2}^{2}}\ne 5\] or I get first class

    D) None of these

    Correct Answer: C

    Solution :

    [c] Let p and q be two proposition given by \[p:{{2}^{2}}=5,q:1\] get first class Here given statement is \[p\to q\] So contrapositive of \[p\to q\] is \[\tilde{\ }q\to \tilde{\ }p\] i.e. if I do not get first class then \[{{2}^{2}}\ne 5.\]


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