Why would the rules of the game be beyond them? They're not stupid. Only a bit of DNA different from us...
There's a little video doing the rounds of a collie dog playing Jenga. Well worth watching if you can find it. It clearly knows the rules of the game as well as being pretty skilful at it.
And has anyone ever seen the film of a chimp who has to touch successive numbers that appear on a screen briefly.
Eg 1 2 3 4 appear visible for a second, the aim is then to touch the circles which had the numbers in and do so in the correct order. So it's a numeracy game and a memory game.
The chimp outperformed us humans by loads. He was so much faster at it, and could remember much longer number sequences than our brains can handle.
So...we are not the ultimate in braininess.
That chimp was way cleverer and who knows if that's not a general fact.
And also let's not forget the Scouse baboons at Knowsley Safari Park who frequently break into roof boxes on poor cars passing through so they can nick whatever they can get their hands on.