Final answer:
The grammatically correct sentence is 'Nosotros queremos estudiar medicina.'
Step-by-step explanation:
The grammatically correct sentence is: Nosotros queremos estudiar medicina. The verb 'queremos' (we want) agrees with the subject 'nosotros' (we) and the infinitive 'estudiar' (to study) is used correctly. The other options contain errors in verb conjugation and subject-verb agreement.
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