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For The Mathematically Inclined

Anil Saigal
04/19/2006

FOR CHILDREN

PROBLEM # 1
There is a number that is 2  times the sum of its digits. What is this number?

FOR GROWNUPS

PROBLEM # 2
In Figure 1, a cylinder 75 cm high has a circumference of 20 cm. A string makes exactly 5 complete turns round the cylinder while its two ends touch the cylinder's top and bottom. How long is the string in cm?
(do not worry that the figure shows only four complete turns)

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Please send your solutions to anil@lokvani.com.

Use Problem Solutions M-042006 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 04/06/06

FOR CHILDREN

PROBLEM # 1
Two dice are thrown, what is the probability that there is at least one 4 showing?

SOLUTION
11/36.

FOR GROWNUPS

PROBLEM # 2
In Figure 2, the rectangle at the corner measures 2 cm x 4 cm. What is the radius of the circle in cm?

SOLUTION
10 cm.

Congratulations to Sandeep Bansal, Sitaram Chandawarkar, Samik Chattopadhyay, Manan Domadia, Neha Iyer, Dattatrya Joshi, Mukkai Krishnamoorthy, Rahul Modi, Sarthak Pani, Hari Pillai and Raagini Rameshwar, who were winners of the last set of puzzles.



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Figure 1


Figure 2

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