Question

"If p, then q" is logically equivalent to which of the following?
I. If q, then p
II. If not p, then not q.
III. If not q, then not p

• A. None of the above
• B. III Only
• C. I and II only
• D. I and III only
• E. I, II and III

Answer 1

The correct option is B III Only

"If $p$ , then $q$" means $p\Rightarrow q$
The explanation for the given statement is if $p$ happens then $q$ will happen , which implies if $q$ wont happen then $p$ also wont happen

Therefore "If $p$, then $q$" implies "If not $q$ , then not $p$"

Therefore the correct answer is option $B$