Wednesday, February 18, 2009
Brain Teaser
What's the maximum number of dots one can paint on a ball, so that the
distance between all dots are equal.
As you leave your house in the morning, you can feel the portent of snow in
the air. The weather report on the radio confirms your suspicions.
The snow begins to fall before noon-time, and falls at a constant rate. The
city sends out its first snow plow at noon which begins removing snow at a
constant rate (in cubic feet per minute.) At 1 P.M. it has gone 2 miles. At 2
P.M. it has gone 3 miles, and is still not retracing its path. At what time did it start to snow?
there are two identical circles on the wall, not overlapped.
you throw arrow to the wall, if hit inside any of the circles, you get 1,
if outside, you get 0. how/where should you focus to throw?
You have two glass balls and a 100-story building. You would like to
determine the lowest floor from which a glass ball will break when dropped.
What is the strategy that will minimize the worst case scenario for number of
drops? What is your strategy if you have 100 glass balls?
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