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For The Mathematically Inclined

Anil Saigal
06/23/2009

PROBLEM # 1
What is the mean distance between two random points on a line of unit length?

PROBLEM #2

What is the mean distance between two random points in a unit square?

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Please send your solutions to anil@lokvani.com.

Use Problem Solutions M-062509 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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Problem Solutions 06/11/09

PROBLEM # 1

What is the largest x such that x^2 divides 24 x 35 x 46 x 57?

Solution:
12.

PROBLEM #2

What is the sum of all integers such that absolute value of x+10 is less than or equal 10?

Solution:
-210.

Congratulations to Aseem Chandawarkar, who was the winner of the last set of puzzles.



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