What are some effective questions to ask someone who is considering me as their DevOps person?
In my opinion since the DevOps culture is derived from, or you could say appeared because of, the Agile software development methods


I would ask if the company is following any agile software methods or else you would be just the release guy 
Also I would ask how I will be working as part of the dev team like I will be assigned to one project team or I will be working with all the teams 
Also it would be great to know the current situation like they are currently facing urgent problem and need fix now , what's their current stack , and also ask about their current workflows in git and in development and try to find a way to solve the issue to make everything go smoothly  
Also what really appears on paper is the workflows like git workflows, how often you release cause automating parts like delivery, and integrations,......etc really means less time and better quality and that will appears on paper even for the business guys 


But at the end if the day every company is different than any other and every situation is different than the other so it's all back to your judgement to be comfortable in your daily job.