If you look under wannabees here at pprune, then you will find 4 topics on BA in one of them the selection procedure and a simulator session are described. On the sim session is a comment from somebody whom actually took it. There you can read what they had to fly at the session.
Also on the net I found bits and pieces of having an engine failure during cruise during the session but forgot the name of the inetpage.
Still I couldn' t find out whether it is single pilot flying or CRM they want to see.
Thanks