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For The Mathematically Inclined

Anil Saigal
12/08/2004

FOR CHILDREN

PROBLEM # 1
After a census was taken in 2000 it was found that compared to 1995 the population of Newtonville increased by 20 percent while the population of Kepler City decreased by 10 percent. Also, it was discovered that in 2000 that the two populations were equal. What percent of the 1995 population of Kepler City was the 1995 population of Newtonville?

FOR GROWNUPS

PROBLEM # 2
Observe the cube (Figure 1). Find the measure of angle ABC that is formed by the dashed segments.


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Please send your solutions to anil@lokvani.com.

Use Problem Solutions M-123004 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 TO PROBLEMS ON 12/16/04

FOR CHILDREN

PROBLEM # 1
Observe the hexagonal figure on right. If you begin at Start and Finish at End, how many different paths can you trace such that you are always traveling in a downward movement.

SOLUTION
11.

FOR GROWNUPS

PROBLEM # 2
A convex polygon has 324 diagonals. How many sides does this polygon have?

SOLUTION
27.

Congratulations to Anirudh Arun, Prabha Baid, Dattatraya Joshi, Nidhi Krishnan, Rohan Kulkarni, Prathisha Nalama, Pandari Sami, Mukund Seshadri, Neha Sharma and Ramya Tammisetti, who were winners of the last set of puzzles.



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Figure 1


Problem from last week

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