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?

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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
 

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