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For The Mathematically Inclined

Anil Saigal
12/03/2004

FOR CHILDREN

PROBLEM # 1
Observe the hexagonal Figure 1. 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.

FOR GROWNUPS

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

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Please send your solutions to anil@lokvani.com.

Use Problem Solutions M-121604 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 12/02/04

FOR CHILDREN

PROBLEM # 1
Find the least positive integer that is eleven times the sum of its digits.

SOLUTION
198.

FOR GROWNUPS

PROBLEM # 2
What number comes next in this silly sequence:
1, 8, 72, 46, 521, 612, _____

SOLUTION
343.

Congratulations to Giridhar Anand, Sandeep Bansal, Nidhi Bhargava, Pawan Deshpande, Dattaraya Joshi, Maharshi Mankad, Sarthak Pani, Mukund Seshadri and Ramya Tammisetti, who were winners of the last set of puzzles.



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Problem 1


Problem 2

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