Question

If $p$ is false, $q$ is true, then which of the following is/are false?

• A. $\sim (p\Rightarrow q)$
• B. $\sim p$
• C. $\sim p\Rightarrow q$
• D. $\sim q$

Answer 1

Answer: (A), (D)

The correct options are
A $\sim (p\Rightarrow q)$
D $\sim q$

$p$	$q$	$p\Rightarrow q$	$\sim (p\Rightarrow q)$	$\sim p$	$\sim q$	$\sim p\Rightarrow q$
F	T	T	F	T	F	T

Here we see that $\sim (p\Rightarrow q)$ and $\sim q$ are false