I have just recently added the following questions to my list:
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Do you have QA/Staging environments that accurately mirror the production environment?
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Do you use code review, and if so, must new code be approved by review before going to QA?
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Do you use dev and story branches or is it held that master must always be ready to push to production? If the latter, how do you avoid having un-reviewed code or code that has not gone thru a proper QA being pushed by accident?
These questions might seem a bit forward given this stage in your career, but as time goes on you will understand why they could play a role in your deciding to take a given job.
It helps to remember that the primary goal is to drain the swamp even when you are hip-deep in alligators.