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Logic problems. The solution to these problems does not usually require a lot of math, but will take some thinking until you find the right approach.
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Difficulty: 3 of 5 Latest: Rocking moves Rating: 5.00
From the 2001 Moscow Mathematical Olympiad:

Before you are three piles of stones: one containing 51 stones, second with 49 stones, and the third 5 stones.
On each move you can either combine two piles into one or divide any pile with an even number of stones into two equal piles.

Is it possible to end up with 105 piles, each containing a single stone?

(Solution Posted, 3 Comments) Submitted on 2016-05-17 by Ady TZIDON   
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