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Mario moves on to find a way to get through the main gates of Bowser’s chamber. He suddenly finds falling through a trapdoor and lands on something hard. The Devil Ghost Banshee , comes out and says, “This room is a standard 8×8 chessboard. Each of its 64 square is assigned a weight. These weights are assigned in such a manner that weight of a square is an average of the weight of the square that it is surrounded by.” Mario now has to determine the weights of all 64 squares and for that Banshee tells him the weights of X squares. What could be the minimum value of X with which Mario can deduce the weights of every other square?A. 8B. 32C. 56D. None of these

Answer» All squares have to be of equal weight (Think !).  Suppose they have unequal weights, then there has to be a maximum weight present in  those 64 squares.Then that square must be surrounded by smaller weights, but the smaller  weights cannot average to a higher number (since average of any numbers is less than their  maximum). So only possiblity is for the weights to be equal.


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