1) If p,q, r are simple propositions with truth values T,F,T , then the truth value of $(\sim p\vee q)\wedge \sim r)$ $\Rightarrow$ p is A) true B) false C) true , if r is false D) true, if q is true Answer: Option AExplanation:$\sim p\vee q$ means $ F\vee F=F,\sim r$ means F $\therefore$ $[(\sim P\vee q)\wedge \sim r]\Rightarrow p $ means T