question_answer

If \[(P\wedge \sim r)\to \,(\sim p\vee q)\] is false, then the truth values of p, q and r are respectively :

A)  T, F and F                           

B)  F, F and T

C)  F, T and T                           

D)  T, F and T

Correct Answer: A

Solution :

Truth Table Since \[(p\wedge \tilde{\ }r)\to (\tilde{\ }p\vee q)\] is F Then, \[p=T,\] \[q=F,\] \[r=F\]