"Employers want operations managers with the leadership, managerial, and interpersonal skills to effectively manage daily operations, evaluate operational costs, and make personnel decisions. Be prepared to discuss your management style as well as your experience handling conflicts and motivating teams to meet deadlines. You should also be ready to answer operational questions such as how you would improve processes to cut costs. A bachelor's degree in management or a similar field of study is required, with a master's degree being ideal."
"There's nothing you can do here that we can't build on our own in two weeks." But that was just one particularly awful interviewer - a product manager, I think. There was pretty much no way I'd agree to join Twitter after that interaction.
This was part of an acquisition discussion, so my experience may not be typical. But it's still the one I had.