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For The Mathematically Inclined

Anil Saigal
06/01/2016

Problem 1

What comes next in the following sequence: 

B, G, L, Q, ...

Problem 2

What  comes next in the following sequence: 

AC, GH, MM, SR, ...


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Please send your solutions anil@lokvani.com. 

Use Problem Solutions M-060216 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. 

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Problems from 05/19/16

Problem 1

A 12 by 25 by 36 cm cereal box is lying on the floor on one of its 25 by 36 cm faces.  An ant, located at one of the bottom corners of the box, must crawl along the outside of the box to reach the opposite bottom corner.  What is the length of the shortest such path?

Problem 2

Find all 8-digit natural numbers n such that n2 ends in the same 8 digits as n.  Numbers are written in standard decimal notation, with no leading zeroes.


Congratulations to Amit Lele, who was the winner of the last set of puzzles



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