What a load of nonsense for a company to ask an adult to bring an object in with them,as others say, so much psychbabble at interviews now.
my DSIL was once asked where he would sit in the cinema, if it was empty, and which animal he would like to be. All you need to be able to do is answer the way you know they like ie,in the middle of the cinema ( good team player) at the front (go-getter) a social animal like a dog,or a even better, a lion. what they don't want to hear, is at the back of the cinema or a rabbit.
I can't think of an object for myself, although I Liked the cake tin and credit card that Jingl suggested for herself.
Perhaps the key thing is what would you save in a house fire ( apart from any living things) and mine would be all the photo albumns, as would be most peoples choice probably.