What is the converse of the following assertion? 'I stay only if you go' A. I stay if you go B. If I stay then you go C. If you do not go then I do not stay D. If I do not stay then you go

GATE 1998 · Discrete Mathematics · Propositional Logic · easy

Answer: A. I stay if you go

1. Translate 'I stay only if you go': 'I stay only if you go' => S -> G (Stay implies Go).
2. Form the converse: Converse of S -> G is G -> S, i.e., 'If you go then I stay' = 'I stay if you go'.