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For The Mathematically Inclined

Anil Saigal
08/28/2014

Problem #1
Alfred, Brian, Christopher and Damon play with a deck of 32 cards. Damon deals them out unequally, then says: "If you want us to have the same number of cards, do exactly as I say. You, Alfred, divide half of your cards between Brian and Christopher. Then, Brian, you do the same with Christopher and Alfred. Finally, Christopher, you follow suit with Alfred and Brian." How did Damon distribute the cards?

Problem #2
The product of three consecutive odd numbers is 357,627. What is the smallest of the three?

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

Use Problem Solutions M-082814 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 8/14/2014

Problem #1
Can you find the fifth term in the following series?
77, 49, 36, 18

Problem #2
The product of four consecutive whole numbers is 3024. What are these numbers?


Congratulations to Kishore Balsara, Lalit Doshi, Saroj Gandhi, Shailesh Goregaokar, Saba Lateef and Riya Misra, who were the winners of the last set of puzzles.



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