What is the converse of the following assertion? I stay only if you go.
1998
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
Attempted by 31 students.
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Correct answer: A
Let P mean 'I stay' and Q mean 'you go'. The phrase 'P only if Q' means if P then Q, so the given assertion is: if I stay, then you go. The converse of a conditional statement is formed by swapping the hypothesis and conclusion. Therefore, the converse is: if you go, then I stay, which is equivalently written as 'I stay if you go'. Hence, option A is correct. Option B repeats the original statement. Option C is the contrapositive of the original statement, so it is logically equivalent to the original but it is not the converse. Option D does not match the converse.