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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 Â½ of 5 = 3. If the same proportion holds, what is the value of 1/3 of 10 ?

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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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