Question 30
Every cat in Wonderland is either wise or mad. A wise cat in a room with three mad cats turns mad. A mad cat in a room with three wise cats is exposed as mad. Three cats entered an empty room. Soon after cat 4 entered, cat 1 left; after cat 5 entered, cat 2 left; and so on. Immediately after cat 2012 entered, a cat was exposed for the first time. Which pair could both have been mad after entering the room?