Question

In contrapositive method to prove statement “If p then q” is valid or not, we assume p to be __________ and prove q to be ______________

(a) true, false

(b) true, true

(c) false, false

(d) false, true

This question was addressed to me in a national level competition.

I'd like to ask this question from Mathematical Reasoning in division Mathematical Reasoning of Mathematics – Class 11

Answer 1

Right option is (c) false, false

To explain I would say: In contrapositive method, we assume p to be false and use it to prove that q is also false.

There is no case for p to be true in direct method.