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For The Mathematically Inclined

Anil Saigal
12/04/2014

Problem #1
Which is the smallest number which, when divided by 2, 3, 4, 5 and 6 will give 1, 2, 3, 4 and 5 as remainders, respectively?


Problem #2
Find all five-digit numbers whose digits are  are reversed when multiplied by 4.
 


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

Use Problem Solutions M-120414 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 11/20/2014

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?


Congratulations to Kishore Balsara, Prem Kapoor and Gaurang Vaishnav, who were winners of the last set of puzzles. 



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