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.

(i) 10%, 80%, 2*(125%), 128%, 625%

(ii) 3*(10%), 80%, 512%, 3*(625%)

(iii) 3*(10%), 80%, 512%, 3*(625%)

(iv) 2*(10%), 80%, 5*(125%), 128%, 512%, 625%

(v)  2*(10%), 80%, 5*(125%), 128%, 512%, 625%

Posted by Dej Mar on 2012-07-22 00:18:11