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For The Mathematically Inclined

Anil Saigal
04/16/2008

FOR STUDENTS

PROBLEM # 1
Find the slope of the line:
5x - 5y = 7.

FOR GROWNUPS 

PROBLEM # 2
A regular dodecahedron is a solid with 12 pentagonal faces. There are two fair dice that are regular dodecahedrons whose face cotain numbers from 1 to 12. A third die is a cube on which a multiplication symbol lies on four faces and an addition symbol lies on the other two faces. All three dice are rolled. What is the probability that the result given by the two numbers combined by the operation on the tops of the tree dice is 16?

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Please send your solutions to anil@lokvani.com.

Use Problem Solutions M-041708 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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Problem Solutions 04/03/08

PROBLEM # 1
A mixture containing 6% salt is to be mixed with 2 ounces of a mixture which is 15% salt, in order to obtain a solution which is 12% salt. How much of the first solution must be used?

Solution: 
1 oz.

FOR
GROWNUPS 

A plane is approaching your home, and you assume that it is traveling at approximately 550 miles per hour. If the angle of elevation of the plane is 16 degrees at one time and one minute later the angle is 57 degrees, approximate the altitude..

Solution: 
17,055 feet.

Congratulations to Sitaram Chandawarkar, Manish Goregaokar and Shailesh Goregaokar, who were winners of the last set of puzzles.



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