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For The Mathematically Inclined

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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Please send your solutions to anil@lokvani.com.

Use "Problem Solutions M-040804" as the subject line. Please include your full name in the text of the main message. The first one to submit the right answer will be profiled in the next issue of Lokvani.

Please do not post your solution in "Post Comments". No credit will be given for solutions not sent to anil@lokvani.com.

If you need clarification on any problem, please contact anil@lokvani.com.

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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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