Owned by Sir Richard Branson, Virgin Atlantic has a particular workplace culture, and they are seeking people who will fit into that culture very well. On the Virgin Atlantic website, there is a quote from Sir Richard Branson which says, "I'm often asked what it is that makes Virgin different. The simple answer is - our people. If it weren't for a bunch of well trained, motivated and, above all, happy people doing their bit, we'd have never launched a record label, never mind a fleet of 747s."
Personality and character are two very different things. The interviewer is looking for more information on your traits vs. your integrity. This answer could include buzzwords such as extroverted, energetic, and confident.