From my understanding of the position, one question that always seems to come up is "Can you describe your management style?". This is a good indicator for the employer to see if your values, skills, and general management style would be a good fit for your business.
"How would you solve a problem between two employees?"
As a manager you have to consider how you would handle disputes or issues between two employees to best handle the situation quickly and effectively so it doesn't get in the way of their job.
What are your team skills like? How do you manage several employees? Can you keep a firm schedule? Are you more strict or more lean for first time mistakes? Things like that.
Most manager positions will be designed in a function where you are managing a small group of employees. This can be stressful and time consuming so I would imagine that they would be asking questions based around those two things. Time and stress.
I was hired as a manager several years ago and most of the questions dealt with problem solving, dealing with customers, and handling employee issues.