FOR CHILDREN

PROBLEM # 1
Ramesh and Satish folded fancy napkins for a feast. In two-third of an hour, Ramesh folded 32 napkins. In 25 minutes Satish folded 20 napkins. Who was folding faster?

FOR GROWNUPS

PROBLEM # 2
How many non-empty subsets S of {1,2,3,...15} have the property that no two consecutive integers belong to S.

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SOLUTIONS TO PROBLEMS ON 03/08/07

FOR CHILDREN

PROBLEM # 1
Express 0.838383... as a fraction of two integers.

SOLUTION
83/99. 

FOR GROWNUPS

PROBLEM # 2
In a standard 8x8 chessboard (with squares colored alternately black and white), there are 64 1x1 squares, 49 2x2 squares etc. How many squares have more than half of their areas colored white?

SOLUTION 
60.

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