Here is a funny puzzle from Kvant (1996, vol 4), the best Russian journal of recreational math.
When Alice goes through the looking-glass, she might meet many multi-headed, multi-armed, multi-legged beings. A being with H heads, A arms and L legs is considered:
- smart, if H > A+L,
- strong, if A > H+L,
- fast, if L > H+A.
Can there exist a well-rounded personality behind the looking-glass: someone who is smart, strong and fast at the same time?