Question

The truth values of $p,q$ and $r$ for which $(p\wedge q)\vee (\sim r)$ has truth value F are respectively

• A. F, T, F
• B. F, F, F
• C. T, T, T
• D. T, F, F
• E. F, F, T

Answer 1

Answer: (E)

F, F, T

option	$p$	$q$	$r$	$p\wedge q$	$\sim r$	$(p\wedge q)\vee (\sim r)$
A	$F$	$T$	$F$	$F$	$T$	$T$
B	$F$	$F$	$F$	$F$	$T$	$T$
C	$T$	$T$	$T$	$T$	$F$	$T$
D	$T$	$F$	$F$	$F$	$T$	$T$
E	$F$	$F$	$T$	$F$	$F$	$F$

Option $E$ gives truth value $F$ .

So option $E$ is correct.