Ella _______ estudiar en esa universidad si obtiene una buena calificación en el examen.
Answer: C.) podrá
Entire sentence: Ella podrá estudiar en esa universidad si obtiene una buena calificación en el examen.
Translation: She will be able to study at that university if she gets a good grade on the exam.
Explanation: The subject in this sentence is "Ella", that is the third singular person, so the verb must be conjugated in this form: "Ella podrá" is the future tense, in the third, singular person of the verb "poder" and is the only third, singular person option because:
A) podrías => is conjugated in the second, singular person => tú podrías (incorrect)
B) podrán => is conjugated in the third, plural person => ellos podrán (incorrect)
D) podremos => is conjugated in the first, plural person => nosotros podremos (incorrect)