Thet basically want to know if you can deal with a crisis calmly and sort out situations when things go wrong Are you level headed and able to use common sense and deal with a problem rather than need to run for help
When I ask this question (or similar) I'm looking for 2 things 1) an example from the interviewee of a time they solved a problem which would be relevant to a situation they might encounter in the job being interviewed for and 2) evidence of solving a problem 'on their feet', again relevant to the job.
They are trying to see if your on an ego trip
They want to know if you'll be able to save your own or someone else's *** if they mess up.
If you'll break your back to get the job done