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For The Mathematically Inclined

Anil Saigal
01/21/2010

PROBLEM # 1
A rectangle has length 10 feet and width 7 feet. What is the area of largest circle that can fit in this rectangle?

PROBLEM #2
Four dogs occupy the four corners of a square with side of length 10 feet. At the same time each dog starts walking at the same speed directly toward the dog on his left. Eventually all four dogs will converge at the center of the square. What is the distance each dog walks until he reaches the center?


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Problems from 01/07/10

PROBLEM # 1

A painting job can be completed by 8 painters in 30 days. If 32 more painters join the team 5 days after starting work on the job, then how many more days are required to complete the job?

SOLUTION
5

PROBLEM #2

By replacing each alphabet with numbers(0 to 9)  make the following equation correct. Each letter can represent only one number, and every number can be represented by only one letter.
SHAKTI + SHIVA + VAAYU = VISHNU

SOLUTION
741259 + 74981 + 81163 = 897403

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Congratulations to Shailesh Goregaokar and Sitaram Chandawarkar who were the winners of the last set of puzzles.



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