Question

If $p\to (q\vee r)$ is false, then the truth values of $p,q,r$ are respectively

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

Answer 1

The correct option is A T, F, F

$p\to q$ is false only when $p$ is true and $q$ is false.

$\therefore p\to (q\vee r)$ is false when $p$ is true and $(q\vee r)$ is false, and

$q\vee r$ false when both $q,r$ are false.

Hence T,F,F