"What do you do when you have a problem with a direct?"
This is more of a question for management. There are multiple ways you can answer this, but you should show that you are responsible and that you know how to resolve these types of problems.
Short Answers
"I believe in open communication. I always analyze the problem and then tell my direct clearly. I always provide steps that we both can take to deal with the problem. This approach helps me because it shows my respect."
"In this situation, I believe communication is very important. I'll usually have a meeting with my direct on the problems I have. It's easier to work on a problem together when everyone involved is aware, so I always communicate the problems that I see."
"I believe feedback is important to solve problems with a direct. I meet with my directs regularly and always provide suggestions on how to improve. I also use this time to work out problems we might have. It's important to let my directs know where I stand so they don't have to make assumptions."
Long Answer
"Because I'm the manager, I feel it's my responsibility to improve the relationship. If the problem is work related, I'll narrow the problem down whether it's with his working style or another type of problem and assist in anyway I can. This would also involve providing feedback and suggestions on how to approach problems. But if our personality's conflict then I would try to be more understanding."