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For The Mathematically Inclined

Anil Saigal

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!


Please send your solutions anil@lokvani.com. 

Use Problem Solutions M-022819 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. 


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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