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Machine Machinations (Posted on 2012-07-21) Difficulty: 3 of 5
A copy machine features 7 buttons for making copies, ranging from 10% to 625% in size. The buttons are: 10%, 80%, 100%, 125%, 128%, 512%, 625%.

If the 100% button breaks down, how can you make a 100% copy in a minimum number of steps using:

(i) Each of the buttons 10%, 80% and 625% at least once?

(ii) Each of the buttons 10%, 512% and 625% at least once?

(iii) Each of the buttons 10%, 80%, 512% and 625% at least once?

(iv) Each of the buttons 10%, 80%, 128%, 512% and 625% at least once?

(v) Each of the buttons 10%, 80%, 125%, 128%, 512% and 625% at least once?

Note: In each of the five cases only the specified buttons must be used. Utilization of any button(s) not included in a given case is not permissible.

No Solution Yet Submitted by K Sengupta    
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re: solution | Comment 3 of 5 |
(In reply to solution by Dej Mar)

The note excludes using any buttons not specified in the particular subsection of the problem being solved.
  Posted by Charlie on 2012-07-22 02:34:28

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