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

  • question_answer
    If p : It rains today, q : I go to school, r : I shall meet any friends and s : I shall go for a movie, then which of the following is the proposition : If it does not rain or if I do not go to school, then I shall meet my friend and go for a movie.

    A)                 \[\tilde{\ }(p\wedge q)\Rightarrow (r\wedge s)\]           

    B)                 \[\tilde{\ }(p\ \wedge \tilde{\ }q)\Rightarrow (r\wedge s)\]

    C)                 \[\tilde{\ }(p\ \wedge q)\ \Rightarrow (r\vee s)\]            

    D)                 None of these

    Correct Answer: A

    Solution :

                       Correct result is \[(\tilde{\ }p\ \vee \tilde{\ }q)\Rightarrow (r\wedge s)\] So, \[\tilde{\ }(p\wedge q)\Rightarrow (r\wedge s)\].


You need to login to perform this action.
You will be redirected in 3 sec spinner