The correct answer is A. Compound object
Explanation:
In grammar, the object refers to the entity that is being affected by the subject (agent of the action) and the main action or verb. This means the object is the entity being acted upon and usually placed after the main action or verb. Additionally, a sentence with a compound object is one that contains two or more objects usually linked by coordinating conjunctions such as "like", "and", "or" and "neither".
In the case of the sentence "Mrs. Khan likes baseball and softball" the subject or agent that performs the action is "Mrs. Khan" the main action is "likes" and the object or entity being acted upon is "baseball and softball" which is composed by two objects or ideas separated by the coordinating conjunction "and". Considering the object of this sentence is composed of two ideas it can be concluded the object "baseball and softball" is compound. Therefore, the type of compound the sentence "Mrs. Khan likes baseball and softball" contains is a compound object.