Questions to Ask After an Interview. Think as if you were sitting down with the person that had the job before you: 1. What is the person that had this job before doing now? 2. How much opportunity for advancement is there in this position? 3. Who would I be reporting to directly? Would we work in teams, or one on one? 4. Will I get to work independently if I were to be hired? Are you looking for a go-getter with lots of ideas or a follower?