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For The Mathematically Inclined

Anil Saigal
11/18/2014

Problem #1
The product of four consecutive whole numbers is 3024. What are these numbers?


Problem #2
 An eight-digit number contains two 1's, two 2's, two 3's, and two 4's. The 1's are separated by one digit, the 2's by two digits, the 3's by three digits, and the 4's by four digits. What is the number?
 



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Please send your solutions to mr.asaigal@gmail.com. 

Use Problem Solutions M-112014 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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Solutions from 11/06/2014

Problem #1
A chauffeur always arrives at the train station at exactly five o'clock to pick up his boss and drive her home. One day his boss arrives an hour early, starts walking home, and is picked up by the chauffeur on the way out to the train station. They arrive at home twenty minutes earlier than usual. How long did she walk before she met her chauffeur?


Problem #2
Write a ten-digit number so that the first digit tells how many zeros there are in the number, the second how many ones, the third how many twos, and so forth.


Congratulations to Abhimanyu Bhargava, who was the winner of the last set of puzzles.  



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