For The Mathematically Inclined
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Anil Saigal 08/13/2004
PROBLEM # 1
A man decides to buy a nice horse. He pays $60 for it, and he is very content with the strong animal. After a year, the value of the horse has increased to $70 and he decides to sell the horse. But already a few days later he regrets his decision to sell the beautiful horse, and he buys it again. Unfortunately he has to pay $80 to get it back, so he loses $10. After another year of owning the horse, he finally decides to sell the horse for $90. What is the overall profit the man makes?
FOR GROWNUPS
PROBLEM # 2
There are 12 coins. One of them is false; it weights differently. It is not known, if the false coin is heavier or lighter than the right coins. How do you find the false coin by three weighs on a simple scale? -------------------------------------------------------------------------------------------------------------
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------------------------------------------------------------------------------------------------------------- SOLUTIONS TO PROBLEMS ON 08/12/04
FOR CHILDREN
PROBLEM # 1
How many squares are there in a 4 X 4 checker board?
SOLUTION
30 squares.
FOR GROWNUPS
PROBLEM # 2
In triangle ABC, AB=AC=5,
BC=4 and BD is perpendicular to AC.
Find BD.
SOLUTION
3.66. Congratulations to Sandeep Bansal, Ryan Bhattacharyya, Anita Gupta, Swathi Krishnan, Deepa Fernandes-Prabhu and Anisha Shenai, who were winners of the last set of puzzles.
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