The interviewer wants to know how you handle conflict, and how you behave in a team situation. Do you end up having conflicts on a regular basis or are you a team player who always slides away without difficulty in conflicting situations? Avoid saying anything negative about your team member or the supervisor and also avoid praising yourself too much.
"I avoid conflicts with my team members as I believe in clear communication whenever any issues are present. There is no reason to have tension in the workplace if you are honest, transparent and an effective communicator."
Entry Level answer example
"Conflict is certainly not something that I seek. There was one incident when a coworker was constantly dumping his work on my desk. He wasn't doing it to be rude; he just didn't understand the full spec of his responsibilities, or mine. Once he knew about our process, he understood his error and apologized. We have worked very well together since then."
Experienced answer example
"Earlier in my career, I worked at a school with a principal who led the school more like a dictatorship. I did not agree with his approach but rather than creating a fuss; I looked for another position. I did not believe that I could have changed his ways so, in that situation, it was best I moved on."