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For The Mathematically Inclined

Anil Saigal
05/08/2007

FOR CHILDREN AND GROWNUPS

PROBLEM # 1
Find three numbers whose mode is 8 and mean is 10. What is the median of these three numbers.

PROBLEM # 2
What is the last digit of the product of these exponents?
2^1988 x 3^1988 x 7^1988.

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SOLUTIONS TO PROBLEMS ON 05/03/07

FOR CHILDREN

PROBLEM # 1
Lets say you walked all the way across the equator. Assuming that your height is about 6 feet, how much farther would  your head travel than your feet? Give your answer in feet, rounded to the nearest tenth.

SOLUTION
37.70 ft. 

FOR GROWNUPS

PROBLEM # 2
Given (see Figure 1):
(sphere) x^2 + y^2 + z^2  = 25
(plane a)   y=2
(point) A (3, 4, 0)
AB=Diameter
AB intersects plane a at M
Find MB:AM.

SOLUTION 
3:1.

Congratulations to Sandeep Bansal, Anindya Basu, Somnath Chattopadhyay, Shailesh Goregaokar, Suhas Joglekar, Dattatraya Joshi, Mukkai Krishnamoorthy and Samir Mehta, who were winners of the last set of puzzles.



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