JEE Main & Advanced JEE Main Paper (Held On 15 April 2018) Slot-I

  • question_answer
    If  \[(p\wedge \tilde{\ }q)\wedge (p\wedge r)\to \tilde{\ }p\vee q\] is false, m then the truth values of \[p,q\] and \[r\] are, respectively.                                                                                  [JEE Online 15-04-2018]

    A) F, T, F            

    B) T, F, T

    C) F, F, F            

    D) T, T, T

    Correct Answer: B

    Solution :

    The truth table for the \[(p\wedge \tilde{\ }q)\wedge (p\wedge r)\to \tilde{\ }p\vee q\] is false
    p q r \[\tilde{\ }p\wedge q\]
    1 1 1 1
    1 0 1 0
    1 1 0 1
    1 0 0 0
    0 1 1 1
    0 0 1 1
    0 1 0 1
    0 0 0 1
    only possible solutions of (p, q, r) is (T,F,T) or (T,F,F)


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