PUZZLE

കുട്ടികള്‍ക്കു വേണ്ടി ഇതാ ഒരു കൊച്ചു പസില്‍...

"ഒരു കാട്ടില്‍ വളരെ ബുദ്ധിമാന്മാരായ 35 പുലികളും ഒരു ആടും ഉണ്ട്.ഏതെങ്കിലും ഒരു പുലി ആടിനെ കൊന്നുതിന്നാല്‍ ആ പുലി ഉടനെ ആടായി മാറും. അങ്ങനെയാണെങ്കില്‍ ഏതെങ്കിലും പുലി ആടിനെ കൊന്നു തിന്നുമോ?



 Solution:

This problem and the problem of pirates belong to the same family of Puzzles, where the puzzle is solved by simplification. Lets Consider the case when there are less Tigers

If there is 1 tiger, then he will eat the sheep because he does not need to worry about being eaten. Sheep will Not survive.

If there are 2 tigers, Both of them knows that if he eats the Sheep, the other tiger will eat him. So, The Sheep will Survive.

If there are 3 tigers, then they each of them knows that if he eats up the Sheep, then Iceland will be left with 1 sheep and 2 Tigers and as shown in the previous case, the Sheep will survive. Hence each tiger will try to eat up the sheep. The sheep will Not Survive.

If there are 4 Tigers, then the sheep will Survive.

And so on….

So, If there are even number of tigers the sheep will Survive, else it will die. Hence, if there are 100 tigers the sheep will Survive.