This is a puzzle I got recently from my daughter, Anisha, who in turn got this puzzle from Alok Mittal’s Mathematical Circles Class.
There is an island on which a rabbit arrives. Rabbit reproduces, as part of which it gives birth to other rabbits. No rabbit dies on the island and not all rabbits have to reproduce. The way they reproduce is as follows:
- Grey rabbit gives birth to a grey and a white
- Spotted gives broth to grey and white
- White gives birth to all three
No rabbit has died and not all rabbits have to reproduce
Grey – 40; spotted 30 and White is 40
What color is the first rabbit?
Happy figuring out!