2. Questions Bank
  3. JEE Main & Advanced
  4. Mathematics
  5. Mathematical Logic and Boolean Algebra

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

  • question_answer
    Negation of the proposition: If we control population growth, we prosper

    A) If we do not control population growth, we prosper

    B) It we control population growth, we do not prosper

    C) We control population but we do not prosper

    D) We do not control population, but we prosper

    Correct Answer: C

    Solution :

    • p : we control population, q : we prosper. \ we have \[p\Rightarrow q\] Its negation is \[\tilde{\ }(p\Rightarrow q)\] i.e. \[p\ \wedge \tilde{\ }q\]                
    • i.e. we control population but we do not prosper.


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