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For The Mathematically Inclined

Anil Saigal
08/12/2024

Problem 1

The four sides of a quadrilateral (in order) are 18, 10, 24 and 20. What is its area?

Problem 2

The sides of an isosceles triangle are 5, 5 and 6. What is the area of the largest square that you cab fit inside the triangle?

 
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Problems from 07/25/24

Problem 1

A palindrome reads the same forwards and backwards. The number 2017102 is a 7-digit palindrome. Let A represent the least palindrome greater than 2017102. Let B represents the greatest palindrome less than 2017102. Find A - B.

Problem 2

Reduce the complex fraction in lowest terms:

              2
     ----------------
      3    +.      4
                 --------
                  1.  -   1
                          ----
                           5



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