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

  • question_answer
    Negation is ?2 + 3 = 5 and 8 < 10? is

    A)                 2 + 3 ¹ 5 and < 10             

    B)                 2 + 3 = 5 and 8 ≮ 10

    C)                 2 + 3 ¹ 5 or 8 ≮ 10           

    D)                 None of these

    Correct Answer: C

    Solution :

                       Let p : 2+ 3 = 5, q : 8 < 10 Given proposition is : \[p\wedge q\]                    Its negation is \[\tilde{\ }(p\wedge q)=\ \tilde{\ }p\vee \tilde{\ }q\]                 \ we have 2+ 3 ¹ 5 or 8 ≮ 10.


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