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For The Mathematically Inclined

Anil Saigal
06/14/2012

PROBLEM # 1
Is the number (2^58 + 1)/5 prime or composite?

PROBLEM # 2
A confused bank teller transposed the dollars and cents when he cashed a check for me, giving me dollars instead of cents and cents instead of dollars.  After buying a newspaper for 50 cents, I noticed that I had left exactly three times as much as the original check.  What was the amount of the check?

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

Use Problem Solutions M-062112 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 06/07/12

PROBLEM #1
What is the surface area of a cone 6" in diameter and 5" slant height?

SOLUTION 1

 

PROBLEM #2
I on a train. I see a truck that is going on a parallel road in the opposite direction and passes my window in 6 sec. since the first sight. Later on, I see the train passing through a bridge of 180 ft in 12 secs. If the length of the truck is 168 ft, what is the speed of the truck in mph?

SOLUTION 2
13 ft/s.


Congratulations to Suhas Joglekar, who was the winner of the last set of puzzles.



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