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For The Mathematically Inclined

Anil Saigal
06/06/2011

PROBLEM # 1
A car travels downhill at 72 mph (miles per hour), on the level at 63 mph, and uphill at only 56 mph  The car takes 4 hours to travel from town A to town B.  The return trip takes 4 hours and 40 minutes.

Find the distance between the two towns.


PROBLEM #2

The sum of three numbers is 6, the sum of their squares is 8, and the sum of their cubes is 5.  What is the sum of their fourth powers?

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

Use Problem Solutions M-060911 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 05/26/11

PROBLEM # 1
Is 2011 a prime number?

SOLUTION 1
Yes. 

PROBLEM #2

There are 4 cards on a table. Each has a number on one side and a letter on the other. The cards show A,B,1 and 2. Which 2 cards would you turn over to test the rule that "All cards with a vowel on one side have an even number on the other"

SOLUTION 2
A and 2.


Congratulations to Kishore Balsara, Aseem Chandawarkar, Akshay Gowrishankar and Mrs. Pankaj Patel, who were winners of the last set of puzzles.



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