Are you responsible, mature, and capable of handling conflicts in the work? If so, you may get the job. So answer what your employer wants to hear. Tell a story about a dispute or conflict you had with a co-worker and how you resolved it in a positive way.
Don’t say you are so good with people and never have to handle conflicts. They don’t believe you.
“In dealing with conflicts or disagreements, I always listen carefully and try to understand my coworker’s perspective. It’s important to remain calm, which prevents arguments from escalating. Keeping an open mind, I present my side of the issue and listen to my coworker’s side. Usually we can come up with a compromise that we both agree on. If this doesn’t work I will suggest we get a third opinion, either from another coworker or the boss, to help resolve the issue. In my last job a coworker and I disagreed on the best way to create a automatic data migration procedure for our interface process. She wanted to acquire an expensive commercial software package; I wanted to develop a customized in-house scripting program which is a much cheaper. There were pros and cons to both, which we wrote down and discussed. In the end, we agreed on implementing a free open source data migration application with a little customized scripting configuration, which save us money and meet our need very well.”