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For The Mathematically Inclined

Anil Saigal
06/09/2009

PROBLEM # 1
What is the largest x such that x^2 divides 24 x 35 x 46 x 57?

PROBLEM #2
What is the sum of all integers such that abolute value of x+10 is less than or equal 10?

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Please send your solutions to anil@lokvani.com.

Use Problem Solutions M-061109 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 05/28/09

PROBLEM # 1

What is the height of a pentagon with side length of 1?

Solution:

PROBLEM #2

What is the volume of a dodecahedron with side (of pentagon) equal to 1? Dodecahedron is a polyhedron with 12 faces.

Solution:
 

Congratulations to Aseem Chandawarkar, Sitaram Chandawarkar and Ranganath Nayak, who were the winner of the last set of puzzles.



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1.mdIuVXnRzIOs January 30, 2013Evgenya 

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