Consider the following premises. There is at least one x_2 for which x_2 is a janitor. For all x_2, x_2 will not work. For all x_2, x_2 will work or x_2 will listen to a song. Can we infer the following from them? Some janitors will listen to a song.
 From the fact that for all x_2, x_2 will work or x_2 will listen to a song, and that for all x_2, x_2 will not work we can infer that for all x_2, x_2 will listen to a song. Finally, from the fact that there is at least one x_2 for which x_2 is a janitor, and that for all x_2, x_2 will listen to a song we can infer that some janitors will listen to a song. Therefore, the answer is yes.