Final answer:
The sentence with the correct personal pronoun is 'The narrator's mother likes to quiz her at dinnertime.' In this sentence, 'her' is used correctly as an object personal pronoun referring to the narrator's mother. Option B is correct.
Step-by-step explanation:
The correct usage of personal pronouns in a sentence ensures clarity and grammatical accuracy. Personal pronouns can function in sentences in various ways depending on their case, as subject, object, or possessive. The subject case pronouns (I, we, you, he, she, it, and they) function as subjects, the objective case pronouns (me, us, you, him, her, it, and them) function as objects, and possessive case pronouns (my/mine, our/ours, your/yours, his/her/hers/its, their/theirs, and whose) show ownership.
In the student's question regarding the correct use of personal pronouns, the sentence 'The narrator's mother likes to quiz her at dinnertime.' correctly uses the personal pronoun 'her' because it serves as the object of the verb 'to quiz,' referring back to the narrator's mother.
This sentence demonstrates a proper understanding of pronoun case and its grammatical function, making it the sentence where the personal pronoun is used correctly.