Question

What are the converse of the conditional statement “When Raj stay up late, it is necessary that Raj sleep until noon.”

(a) “If Raj stay up late, then Raj sleep until noon.”

(b) “If Raj does not stay up late, then Raj does not sleep until noon.”

(c) “If Raj does not sleep until noon, then Raj does not stay up late.”

(d) “If Raj sleep until noon, then Raj stay up late.”

I had been asked this question during an interview.

The origin of the question is Logics topic in portion The Foundation: Logics and Proofs of Discrete Mathematics

Answer 1

Correct answer is (d) “If Raj sleep until noon, then Raj stay up late.”

Easiest explanation: Necessary condition for p is q has converse q → p.