In each set of sentences, choose the sentence that has a problem with pronoun-antecedent agreement.
Students sometimes discover they don't like their chosen field.
A student sometimes discovers he or she doesn't like their chosen field.
Students may lose interest in their chosen field.

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Answer:

The sentence in this set of sentences that has a problem with the pronoun-antecedent agreement is:

A student sometimes discovers he or she doesn't like their chosen field.

Explanation:

The pronouns are "he or she" and "their."  These pronouns are preceded by the noun "student."  A better construction of the sentence is the first one, which says: "Students sometimes discover they don't like their chosen field."  The third sentence is also well-constructed.  They are simpler and less complicated than the second sentence.  Again, the first sentence has perfect agreement between the noun "students" and the pronouns "they" and "their."