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For The Mathematically Inclined

Anil Saigal
04/26/2018

Problem 1 

How many four digit numbers have no repeat digits, do not contain zero, and have a sum of digits equal to 28?

Problem 2

A page from the book is torn and the sum of remaining pages is 20000. What are the numbers on torn page. 
 

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Please send your solutions anil@lokvani.com. 

Use Problem Solutions M-042618 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 4/12/18

Problem 1 
If water flows into the pool by two inlets, fill the whole for 18 hours. First inlet filled pool 10 hour longer than second. How long will it take to fill the pool if only second inlet is open?

Problem 2
 In the workshop are three machines that manufacture same parts. They produces 250 parts in 4.7 hours,  1.9 hours and  4.2 hours respectively. Each machines needs a break of 10 minutes after manufacturing 250 parts. How long will take to manufacture 50000 parts from these machine?


Congratulations to Ramachandran Balakrishna who was the winner of the last set of puzzles.



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