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, F
• 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.