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For The Mathematically Inclined

Anil Saigal
02/14/2019

March 14th (3/14) is celebrated as Pi Day.

It is said that you can find any sequence of numbers in Pi. Pi starts with 3.1415....

Problem 1

When is the second occurrence of sequence '314' in the number Pi?

Problem 2
When do we see 03142019 for the first time in Pi?

Happy Pi Day!

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Problems from 02/14/19

Problem 1

The barrel is filled with water up to 57% of its capacity. When we add two buckets will be filled to 73% of its capacity. What is the volume of a barrel, if the volume of the bucket is 12 liters?

Problem 2
A square is inscribed a square so that its vertices lie at the centers of the sides of the square (see figure on right). The procedure of inscribing square is repeated this way. What is the sum of areas all the squares if the side of the outer square is 10m.

Congratulations to Ramachandran Balakrishna and Padmapriya Gurusamy, who were the winners of the last set of puzzles.

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