Question

If statement $p\to (q\vee r)$ is true then the truth values of statements $p,q,r$ respectively

• A. $T,F,T$
• B. $F,T,F$
• C. $F,F,T$
• D. all of these

Answer 1

Answer: (D)

all of these

$\because p\to (q\vee r)$ is false

$\Rightarrow$ $p$ is true and (q $\vee$ r) is false

$\Rightarrow$ $p$ is true, $q$ and $r$ both are false

i.e. $p$ $\to$ (q $\vee$ r) is false when truth values of $p,q,r$ are $T,F,F$ respectively otherwise it is true.