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

  • question_answer
    If each of the following statements is true, then \[P\Rightarrow \tilde{\ }q,\text{ }q\Rightarrow r,\text{ }\tilde{\ }r\]

    A) p is false

    B) p is true

    C) q is true

    D) None of these

    Correct Answer: A

    Solution :

    [a] Since \[\sim r\] is true, therefore, r is false. Also \[q\Rightarrow r\] is true, therefore, q is false. (\[\therefore \] A true statement cannot imply a false one) Also\[p\Rightarrow q\] is true, therefore, p must be false.

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