Question

What are the contrapositive of the conditional statement “I come to class whenever there is going to be a test.”

(a) “If I come to class, then there will be a test.”

(b) “If I do not come to class, then there will not be a test.”

(c) “If there is not going to be a test, then I don’t come to class.”

(d) “If there is going to be a test, then I don’t come to class.”

The question was posed to me in class test.

My doubt stems from Logics topic in section The Foundation: Logics and Proofs of Discrete Mathematics

Answer 1

Correct answer is (b) “If I do not come to class, then there will not be a test.”

To elaborate: q whenever p, has contrapositive ¬q → ¬p.