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For The Mathematically Inclined

Anil Saigal
11/19/2003

FOR CHILDREN

PROBLEM # 1

A little green frog is sitting at the bottom of the stairs. She wants to get to the tenth step, so she leaps up 2 steps and then back 1. Then she leaps another 2 steps and back 1. How many leaps will she have to take, if she follows this same pattern, till she reaches the tenth step?

PROBLEM # 2

If you were given the choice between taking 5000 dollars or 1 penny a day doubled each day for 20 days, which one would you choose and why?

FOR GROWNUPS

PROBLEM # 3

Two vertical poles 12 ft apart are 6 ft and 12 ft in height. A rope is stretched from top of each pole to the bottom of the other. How far above the ground do the ropes cross?

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Please send your solutions to both problems to anil@lokvani.com.

Use "Problem Solutions M-112003" as the subject line. Please include your full name in the text of the main message. The first one to submit the right answer will be profiled in the next issue of Lokvani.

Please do not post your solution in "Post Comments". No credit will be give 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 11/06/03

PROBLEM # 1

The mean weight of a class of 34 students is 46.5 kg. If the weight of the teacher be included, the mean rises by 500g. Find the weight of the teacher.

SOLUTION

64 kg

PROBLEM # 2

The diameter of a roller 120 cm long is 84 cm. If it takes 500 complete revolutions to level a playground, determine the cost of leveling it at the rate of 30 cents per sq meter.

SOLUTION

$475.20

PROBLEM # 3

1
11
21
1211
111221
312211

SOLUTION

13112221
1113213211

Congratulations to Shankar Hegde, Neelkanth Mishra, Rekha R., Sumanth Shankar and Dharmesh Thakkar, who were all winners of the last puzzle. In this issue we bring you yet another challenge, one for children and one for adults.



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