You . . . . . . . . the cleaning. I would have done it tonight. A. needn’t have done B. couldn’t have done C. can’t have done D. wouldn’t have done

The correct answer is: A. needn’t have done

The sentence “You needn’t have done the cleaning. I would have done it tonight.” means that the speaker is telling the listener that they did not need to do the cleaning, because the speaker would have done it anyway.

The other options are incorrect because:

• B. couldn’t have done is not correct because it implies that the listener was unable to do the cleaning, but the sentence does not say anything about the listener’s ability to do the cleaning.
• C. can’t have done is not correct because it implies that the listener did not do the cleaning, but the sentence states that the listener did do the cleaning.
• D. wouldn’t have done is not correct because it implies that the listener did not want to do the cleaning, but the sentence does not say anything about the listener’s desire to do the cleaning.