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

  • question_answer
    If p is any statement, then which of the following is a tautology?

    A) \[p\wedge f\]      

    B) \[p\vee f\]

    C) \[p\vee (\tilde{\ }p)\]       

    D) \[p\wedge t\]

    Correct Answer: C

    Solution :

    [c] Whatever the truth value of p may be, \[p\vee (\sim p)\]is always true. Hence, \[p\vee \sim (p)\] is a tautology?

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