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241 (Posted on 2011-02-02) Difficulty: 3 of 5
Solve one - get one free.

I. Crazy bank

I have not a penny in my pocket and the only money available to me is $500, deposited in a crazy bank with some very strange rules:

a. There is no interest on money deposited.
b. There are no charges for withdrawal, but one can only draw exactly $300,- no overdraft and no other amounts allowed.
c. There is only one specific amount of money one can deposit - $198 to be exact, happily enough no charges for this .

Using only those operations, what is the biggest amount I can rescue from this bank?

II. Shift a token.

On a ruler, marked from 0 to 147 cm, a token is placed on one of the marked places.
You can move this token any time:
either 100cm to the right or 47 cm to the left.
Prove that after 147 permissible moves the token is at its starting point.


If I were you I would start with the token story first.

No Solution Yet Submitted by Ady TZIDON    
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Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: solutionsbroll2011-02-02 15:39:51
Solution, Pt. 1 (using Excel)hoodat2011-02-02 15:17:15
SolutionsolutionsCharlie2011-02-02 14:40:24
Some Thoughtspossible solution part 1.broll2011-02-02 14:27:39
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