Wednesday, November 3, 2010

Crazy Rabbits - One puzzle a day - Puzzle Buddies

Puzzle: 1. You decided to keep rabbits. Just to begin with you decided to begin with one male rabbit and one female rabbit. These rabbits have just been born.
2. A rabbit will reach sexual maturity after one month.
3. The gestation period of a rabbit is one month.
4. Once it has reached sexual maturity, a female rabbit will give birth every month.
5. A female rabbit will always give birth to one male rabbit and one female rabbit.
6. Rabbits never die.
So how many male/female rabbit pairs are there after one year (12 months)?
Note: Don't forget to visit us again. Answer to the puzzle will be posted tomorrow.
Solution: 

0 month: 1 pair
1 month: 1 pair
2 month: 2 pair
3 month: 3 pair
4 months: 5 pair
5 months: 8 pair
6 months: 13 pair
7 months: 21 pair
8 months: 34 pair
9 months: 55 pair
10 months: 89 pair
11 months: 144 pair
12 months : 233 pair

This is a classic example of Fibonacci series.
Winner: Subodh Singh

1 comment:

  1. This can be solved using the Fibonacci series.

    1 1 2 3 5 8 13 21 34 55 89 144 233...

    The answer 233 pairs.

    ReplyDelete