question_answer

If \[(p\wedge \tilde{\ }r)\wedge (\tilde{\ }p/q)\] is false, then the truth values of p, q and r, 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 :

[a] Since, \[(p\wedge \sim r)\Rightarrow (\sim p\vee q)\]is F Then, \[p=T,q=F,r=F\]