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?
 Please send your solutions to mr.asaigal@gmail.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 8digit natural numbers n such that n^{2} 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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