For The Mathematically Inclined
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Anil Saigal 03/29/2004
FOR CHILDREN
PROBLEM # 1
If the letters MATHEMATICSRULES endlessly repeats, what would be the 500th letter? PROBLEM # 2
What is the last digit of the number 2^20 - 1. FOR GROWNUPS
PROBLEM # 3
If N = 199819971996........54321 and one puts a comma
typically every three digits, how many commas will be there
in N? ----------------------------------------------------------------------------------------------------------------------
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--------------------------------------------------------------------------------------------------------------------- SOLUTIONS TO PROBLEMS ON 03/25/04
FOR CHILDREN
PROBLEM # 1
a. Is 0 an odd number or an even number.
b. Is 0 a positive number or a negative number.
SOLUTION
a. Even b. Neither.
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.
SOLUTION
2 seconds.
FOR GROWN UPS
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.
SOLUTION
35/128
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