JEE Main & Advanced Sample Paper JEE Main Sample Paper-14

  • question_answer
    If p, q and r are simple propositions with truth values T, F and T, then the truth value of \[(\sim \,p\vee q)\,\wedge \,\sim \,p\,\Rightarrow \,p\] is

    A)  F                                            

    B)  T

    C)  T, if r is F                             

    D)  None of these

    Correct Answer: B

    Solution :

     Now, \[(\sim p\vee q)\equiv \,(F\vee F)=F\] \[(\sim p\vee q)\wedge \sim p\equiv F\wedge F=F\] \[\therefore \]  \[(\sim p\vee q)\wedge \sim p\Rightarrow p\] \[p=F\Rightarrow T\] = T


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