For The Mathematically Inclined
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Anil Saigal 03/12/2004
FOR CHILDREN
PROBLEM # 1
a. Is 0 an odd number or an even number.
b. Is 0 a positive number or a negative number. PROBLEM # 2
A car is moving at 60 miles per hour. How long will it take the car to move
a distance of 176 feet. FOR GROWNUPS
PROBLEM # 3
Coin A is flipped tree times and coin B is flipped 4 times. What is the probability that the
number of heads obtained from flipping the two fair coins is the same.
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--------------------------------------------------------------------------------------------------------------------- SOLUTIONS TO PROBLEMS ON 03/11/04
FOR CHILDREN
1,2,3,6,2,8,16,2,18,36,2... What are the next 6 numbers in the sequence?
SOLUTION
38, 76, 2, 78, 156, 2 FOR GROWN UPS
Three mutually tangent spheres of radius 1 rest on a horizontal plane.
A sphere of radius 2 rests on them. What is the distance from the plane
to the top of the larer sphere?
SOLUTION
3 + sqrt (23/3) Congratulations to R. Dhillon, R. Kulkarni, R. Mirchandani, P. Mutalik, A. Shah and S.
Shah who were winners of the last set of puzzles.
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