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For The Mathematically Inclined


Anil Saigal 05/01/2006
FOR CHILDREN
PROBLEM # 1 Divide
$155 (in whole $ increments) into a number of bags so that I can ask
for any amount between $1 and $155, and you can give me the proper
amount by giving me a certain number of these bags without opening
them. What is the minimum number of bags you will require? FOR GROWNUPS
PROBLEM # 2 A
group of four people has to cross a bridge. It is dark, and they have
to light the path with a flashlight. No more than two people can cross
the bridge simultaneously, and the group has only one flashlight. It
takes different time for the people in the group to cross the bridge: A crosses the bridge in 1 minute, B crosses the bridge in 2 minutes, C crosses the bridge in 5 minutes, D crosses the bridge in 10 minutes. How can the group cross the bridge in 17 minutes?

Please send your solutions to anil@lokvani.com.
Use Problem Solutions M050406
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.
 SOLUTIONS TO PROBLEMS ON 04/20/06
FOR CHILDREN
PROBLEM # 1 There is a number that is 2 times the sum of its digits. What is this number? SOLUTION 18.
FOR GROWNUPS 125 cm.
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) SOLUTION Congratulations to S.
Balabhadrapatruni, S. Bansal, S. Chandawarkar, S. Choudhury, N. Deboo,
P. Deshpande, M. Domadia, D. Joshi, P.Manjunath, T. Manjunath, N.
Minocha, K. Muralidharan, M. Muralidharan, P. Nalamati, S. Pani, B.
Parekh, H. Pillai, S. Rao, V. Shah, V. Sivaswami, G. Sudhir, S. Tenneh,
B. Venkatraman and N. Yerneni, who were winners of the last set of puzzles.

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