Fill in the blank with the most appropriate word.
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This question tests your understanding of gerunds and pronoun case in English grammar.
The verb "approved of" is a phrasal verb that requires an object. This object must be a noun or a noun-like element. In this sentence, the action of "staying in England" is the object of the preposition "of".
When a verb acts as a noun (in this case, "staying"), it is called a gerund. A key rule is that when a pronoun comes before a gerund, it must be in the possessive case (her, his, my, your, their, our) and not the subjective case (she, he, I, you, they, we).
Therefore, the correct structure is: Possessive Pronoun + Gerund.
Let's apply this to the sentence: "Mary's father approved of her staying in England..."
The other options are incorrect because:
Gerunds: A gerund is a verb form ending in "-ing" that functions as a noun. It can be the subject, object, or object of a preposition in a sentence.
Pronoun Case: Pronouns change their form (case) based on their function in a sentence.
The most appropriate word to fill in the blank is her staying.
The complete sentence is: "Mary's father approved of her staying in England for another year in order to improve her English."