PROBLEM # 1

How old would you be in years if you lived 1,000,000 hours?

FOR GROWNUPS

PROBLEM # 2
One angle of a traingle has a measure of x. The sides are sin(x), cos(x) and tan (x) and the product of the sides is 1/4. Determine the cosine of the largest angle.

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SOLUTIONS TO PROBLEMS ON 08/26/04

FOR CHILDREN

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?

SOLUTION
$ 20.

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?

SOLUTION
1. Divide the coins into 3 groups of 4, say A,B, C 2. Weigh A and B Case I: A and B are equal. Now weigh 3 coins of A and C, Lets call them A1 and C1 (a)If they are equal, then the remaining coin in C (not in C1)is the odd one (b)If they are different, say A1 weighs more than C1, weigh two coins in C1.If these weigh the same , the remaining coin in c1 is the odd man out. If they are different then the lighter coin in c1 is the odd man out.

Congratulations to Beena Krishnan, Nidhee Hrishnan, Anupa M. and Rajiv Ramaratnam, who were winners of the last set of puzzles.

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