Q. If $p,q,and\ r$ are simple propositions with truth values T,F,T, then the truth value of $(\sim p \vee q) \land \land \sim q \rightarrow p$ is
A) True
B) False
C) True, if $r$ is false
D) None of these
Explanation
(a)
[table] $p$ | $q$ | $r$ | $\sim p$ | $\sim q$ | $\sim p \vee q$ | $( \sim p \vee q)$
$\land \sim q$ | $( \sim p \vee q)$
$\land \sim q \rightarrow p$ ; T | F | T | F | T | F | F | T [/table]
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.