KVPY Sample Paper KVPY Stream-SX Model Paper-29

  • question_answer
    Consider the following three statements:
    P : 5 is a prime number.
    Q : 7 is a factor of 192.
    R : L.C.M.of5 and 7 is 35.
    Then the truth value of which one of the following statements is true?

    A) \[(\tilde{\ }P)\vee (Q\wedge R)\]

    B) \[(P\wedge Q)\vee (\tilde{\ }R)\]

    C) \[(\tilde{\ }P)\wedge (\tilde{\ }Q\wedge R)\]

    D) \[P\vee (\tilde{\ }Q\wedge R)\]

    Correct Answer: D

    Solution :

    P is True
    Q is False
    R is True
    \[\therefore \]\[\tilde{\ }Q\]is True
    \[\tilde{\ }Q\wedge R\]is True
    \[\therefore \]\[\tilde{\ }Q\wedge R\]is True.
    \[\therefore \]\[P\vee (\tilde{\ }Q\wedge R)\] is True.

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