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For The Mathematically Inclined

Anil Saigal
09/17/2005

FOR CHILDREN

PROBLEM # 1
The collection of nickels and dimes is worth $2.35. If twice the number of dimes is three more than three times the number of nickels, how many dimes are there.

FOR GROWNUPS

PROBLEM # 2
If log16 (29 + log16 b) = 5/4, determine the value of b.

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SOLUTIONS TO PROBLEMS ON 09/08/05

FOR CHILDREN

PROBLEM # 1
The number 1961 has rotational symmetry because the number looks the same turned upside down. Find the next greatest number that has this unique feature.

SOLUTION
6009.

FOR GROWNUPS

PROBLEM # 2
In the country of Math, the citizens pay numerically the same percent in income tax as they make in Math dollars per week. What is the maximum amount of money in Math dollars that a person can take home after paying taxes each week?

SOLUTION
 $25 on earnings of $50 per week.

Congratulations to Sandeep Bansal, Gati Dharani, Shailesh Goregaokar, Amit Jain, Dattatraya Joshi, Anupa Manjunatha, Ashwini Manjunatha, Amol Mehta, Ameek Ponda, Bhaskar Rao, Mukund Seshadri and Manan Thakkar, who were winners of the last set of puzzles.



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