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For The Mathematically Inclined

Anil Saigal
04/22/2015

Problem #1
In a race Josh was not last. Wally was neither first or last. Josh beat Mark. Ted beat Wally and Chuck. Wally beat Chuck. Mark beat Ted. Who was last?


Problem #2
In a certain Math contest, ten contestants competed. There were numerous judges who made sure that the results were accurate, from their notes can you determine who finished where?

Ivor Bigfoot finished before May Eye and Mick Stup whilst Leigh Vamessage was victorious over May Eye and Laura DeLand. Jack Pott was beaten by Jerry Atric, Mick Stup and Al Beback. Laura DeLand was beaten by Mick Stup, May Eye and Ivor Bigfoot, whereas Joe King beat Jerry Atric and Jack Pott but lost to Laura DeLand and Inga Hootz. Leigh Vamessage was beaten by Ivor Bigfoot and Inga Hootz. Inga Hootz was beaten by Al Beback, who, in turn, lost to Ivor Bigfoot, but beat Jerry Atric and Jack Pott. May Eye finished ahead of Mick Stup and Jerry Atric, who lost to Leigh Vamessage and Inga Hootz.
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Please send your solutions to mr.asaigal@gmail.com. 

Use Problem Solutions M-042315 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 04/09/2015

Problem #1
John learned how to count in a base different from 10, so that, for instance, instead of writing 136, he writes 253. In what base does he count?
 
Solution:
Base 7. 

Problem #2
The product of four consecutive whole numbers is 3024. What are these numbers?
 
Solution:
 6,7,8,9.

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



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