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For The Mathematically Inclined

Anil Saigal
12/31/2015

Problem 1

What digit is the most frequent between the numbers 1 and 1,000 (inclusive)?

Problem 2
In a certain country ½ of 5 = 3. If the same proportion holds, what is the value of 1/3 of 10 ?

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Please send your solutions anil@lokvani.com. 

Use Problem Solutions M-123115 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. 

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Problem from 12/17/15

Problem 1
There is a water-cask with three different water-taps. With the smallest tap, the water-cask can be filled in 20 minutes. With the middle tap, the water-cask can be filled in 12 minutes. With the largest tap, the water-cask can be filled in 5 minutes. What is the time required to fill the water-cask if all three taps are open simultaneously? 

Problem 2
With all the numbers 0 up to 9 (using each number exactly once), find two fractions that add up to exactly 1.


Congratulations to Baldev Luhar and RK Sambangi, who ware the winners of last set of puzzles.



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