Katrin _________ nicht in die Disko. Ihre Eltern erlauben es nicht
A
Correct answer
Explanation
The correct answer is 'darf' because the sentence context 'Ihre Eltern erlauben es nicht' (Her parents don't allow it) requires the modal verb for permission. 'Darf nicht' means 'is not allowed to' in German, which fits perfectly. 'Moechte' expresses desire, 'will' expresses intention/want, and 'mag' expresses liking - none convey permission.