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For The Mathematically Inclined

Anil Saigal
03/12/2012

PROBLEM # 1
Solve for x given x2 = 90 -x.


PROBLEM # 2
One mile upstream from his starting point, a rower passed a log floating with the current. After rowing upstream for one more hour, he rowed back and reached his starting point just as the log arrived. How fast was the current flowing??

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Please send your solutions to mr.asaigal@gmail.com.

Use Problem Solutions M-031512 as the subject line. Please include your full name in the text of the main message. Everyone with the right answer will be acknowledged 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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Problems from 03/01/12

PROBLEM #1
In how many ways, counting ties, can eight horses cross the finishing line?

SOLUTION 1
 69281.

PROBLEM #2
Find the area of the largest semicircle that can be inscribed in the unit square.

SOLUTION 2
0.539.

Congratulations to Aseem Chandawarkar and Vijay Aivalli, who were the winner of the last set of puzzles.



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