Consider the following premises. Linda is not a doctor. Jennifer is listening to a song if and only if Mary is a sailor. If Jennifer listens to a song, then Linda is a doctor. If Linda were a doctor, then Jennifer is listening to a song. Can we infer the following from them? Mary is a sailor.
 From the fact that if Jennifer listens to a song, then Linda is a doctor, and that if Linda were a doctor, then Jennifer is listening to a song we can infer that Jennifer is listening to a song if and only if Linda is a doctor. From the fact that Jennifer is listening to a song if and only if Linda is a doctor, and that Linda is not a doctor we can infer that Jennifer is not listening to a song. Finally, from the fact that Jennifer is listening to a song if and only if Mary is a sailor, and that Jennifer is not listening to a song we can infer that Mary is not a sailor, which contradicts that Mary is a sailor. Therefore, the answer is no.