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| For The Mathematically Inclined |
Anil Saigal
08/19/2008
FOR STUDENTS
Amrita, Sanjay, and Juhi each ate something different for breakfast. One had toast, one had sausages, and one had a melon for breakfast.
What did each person have for breakfast?
1. Amrita likes to eat either a melon or toast for breakfast.
2. Only Sanjay and Juhi like meat for breakfast.
3. Juhi did not have sausages or toast for breakfast.
FOR GROWNUPS
PROBLEM # 2
Find the sum of the series
S = cos3x −1/3 cos33x + 1/32 cos3 32x −1/33 cos3 33x + .....
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Problem Solutions 08/07/08PROBLEM # 1
A dart is thrown at a circular dart board of radius one. The dart can land at any place on the dartboard with equal probability. What is the mean distance between where the dart hits from the center of the board?
Solution:
FOR GROWNUPS
Water flows into a tank at a rate of 1 gallon per second. Water leaves the tank at a rate of 1 gallon per second for each 100 gallons in the tank. The tank is initially empty. How long will it take for the tank to fill with 50 gallons of water?
Solution:
69.3 s.
Congratulations to Roopesh Mathur and Mukund Seshadari, who were winners of the last set of puzzles.
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