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For The Mathematically Inclined

Anil Saigal

Problem 1

A cow is tied with a rope of length 120m  at a corner of a square field with side 100m. The field has a fence enclosing from all four sides. If the cow is outside the fence then what is maximum area the cow can graze?

Problem 2
If the cow is tied inside the fence then what is the maximum area the cow can graze?

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Problems from M-12/03/20

Problem 1:
A screen is 1680 x 1050 pixels.  What is the diameter of a circle on the screen  whose  area  is exactly 33% of the screen size?

Problem 2:
An ant is at one corner of match box. The dimensions of match box are 6inch * 2inch * 1inch. Assuming that the can't fly or jump, what is the minimum distance it has to crawl to reach the opposite corner? 

Congratulations Ramachandran Balakrishna.

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