BAE Systems interview questions

I went through a recruitment company and got fast tracked to the first interview. Involved questions such as explain the most difficult aspect of working in a team and why, specifically, do you want to work for Detica? Then I had some maths questions involving estimating the amount of water flowing past me in any 24 hour period when standing at the edge of the Thames in central london. I think they just wanted to see how logical my thinking was. Then I had a basic programming question which was not particularly easy but it went okay. I passed that interview and now have a second round interview next week.

Initial application through recruitment agent. Initial 1:1 telephone interview- fast paced 50 min run down of CV, motivation, knowledge of company, brain teaser (how many tennis balls can you fit into a car?), case study. Through to second, face to face interview- 2 hours long and basically a drawn out version of the phone interview plus a presentation. Rather unprepared interview panel who basically admitted they drew the short straw for interviewing that day as they had a free window prior to a team meeting. Lead interviewer faffed around for ages poring over his company interview guide, never quite sure what he was asking. Second interviewer stayed silent throughout except to throw in a question about how many burgers McDonald's sell a day. Absolute rubbish interview and unbelievable choppy case study where bits were asked and other bits left out as they were 'totally outdated' according to the lead interviewer. Didn't get an offer, apparently due to concerns around not being able to apply skills to a new domain. Given the fact the role involved almost exactly the same skills in the same sector I have been working successfully in for the last 4 years, totally unbelievable. Appreciate this may sound like sour grapes, but I'm honestly baffled by the seeming incompetence of their interview process and interview panel and some of the inane questions asked.