The correct option is A play than study
Let’s examine the sentence: “Most of my students would rather ____ .” The sentence requires verbs that goes with students, which is a plural noun. A verb is used with an ‘s’ or ‘ies’ when the subject is singular. This rules out Options B and C as they are having at least one verb with an ‘s’ or ‘ies.’ Option D cannot be used as it contains infinitive where verbs are used with ‘to.’ The sentence requires verbs and not infinitives. Hence, Option A is the correct answer.