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Presumably you (as the pilot) didn't know it was broken at take-off. Maybe it incurred some damage by a bird, maybe a bolt came loose during the flight... who knows. It's unimportant detail.

Hopefully in an actual interview situation you'd have a proper go at answering such a question. Saying "I wouldn't have gotten into that situation" is a bit of a cop-out. We all make mistakes, and sometimes unforeseen circumstances happen too. I don't think I'd be impressed with an answer of "that wouldn't happen to me"!