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.