Question

What is contrapositive for statement if p then q?

(a) if not q then not p

(b) if q then p

(c) if not p then q

(d) if not p then not q

This question was posed to me in an interview.

This intriguing question originated from Mathematical Reasoning topic in chapter Mathematical Reasoning of Mathematics – Class 11

Answer 1

Correct option is (a) if not q then not p

The explanation: Contrapositive statement for given statement “if p then q” is “if not q then not p” i.e. ~q => ~p.