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For The Mathematically Inclined

Anil Saigal
01/18/2011

PROBLEM # 1
The area of the wall you are going to paint is 50 feet square. If the width is half the height what are the dimensions of the wall?


PROBLEM #2
Give two rectangles where the perimeter of the first is larger than the second but it has a smaller area?


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

Use Problem Solutions M-012011 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 01/06/11

PROBLEM # 1
The sum of five real numbers is 7; the sum of their squares is 10.  Find the minimum and maximum possible values of any one of the numbers.

SOLUTION 1



PROBLEM #2
Find all 8-digit natural numbers n such that n2 ends in the same 8 digits as n.  Numbers are written in standard decimal notation, with no leading zeroes.

SOLUTION 2





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