MeanGreenStompa wrote:"Give me an example of when you overcame a hostile situation and resolved it effectively."
"Give me an example of meeting a difficult deadline and how you accomplished it."
"Give me an example of how you contribute to a team situation."
"Give me an example of you bringing *great customer service to a sales encounter."
These are called behavioral interview questions, and are used to show a particular trend in personality as well as the ability to identify and react accordingly to a situation. Even if your answer isn't directly related to the position for which you're interviewing, you most likely have been in a situation described above.
Generally, what the interviewer is looking for is a response called "STAR", standing for 'Situation' or 'Task', 'Action', and 'Response'.
Tell them about what happened, maybe going into a little detail around events that led up to the situation or the task you were assigned. How did you complete the task, or handle the situation - give a detailed account of your actions. Finally, what was the outcome or how did the other party/parties react?
The trick is giving enough detail without boring the interviewer with a long, drawn-out story about your life. Likely, they're interviewing several to many different candidates. If you're having trouble reading the interviewer and don't know how much is too much (as it can depend from person to person), keep the answer brief (but not terse or too brief to convey STAR) and ask the interviewer if they'd like more info on that example.
Cheers, and good luck.