<h2>
Answer:</h2>
D. No me gusta
<h2>
Explanation:</h2>
The key of filling this blank in this exercise is to focus on the part of the sentence that states no escuchar música that means do not listen to music. So we can assure that the option needs to be in negative form. Well, we have two negative options:
B. No puedo
<em>Puedo </em>comes from the verb <em>poder</em>
<em />
D. No me gusta
<em>Gusta </em>comes from the verb <em>gustar</em>
After the blank we have the noun el reproductor. After the conjugated verb poder we can't use a noun, but an infinitive verb. On the other hand, after the conjugated verb gustar we can use a noun. Accordingly, the correct option is D. No me gusta. Finally:
<em>No me gusta</em><em> el reproductor mp3 porque prefiero estudiar y no escuchar música</em>