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For The Mathematically Inclined

Anil Saigal
01/14/2016

Problem 1

From a book, a number of consecutive pages are missing. The sum of the page numbers of these pages is 9808. Which pages are missing?


Problem 2
You walk upwards on an escalator, with a speed of 1 step per second. After 50 steps, you are at the end. You turn around and run downwards with a speed of 5 steps per second. After 125 steps, you are back at the beginning of the escalator.How many steps do you need if the escalator stands still?
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Please send your solutions anil@lokvani.com. 

Use Problem Solutions M-011416 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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Problem from 12/31/15

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 ?


Congratulations to Amit Lele and Baldev Luhar, who ware the winners of last set of puzzles.



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