Question 1192533
.


I managed to solve the problem with the lesser number of colored squares, 6.



<pre>
   +---+---+---+---+---+ 
   |   |   | X |   |   | 
   +---+---+---+---+---+ 
   |   | X |   |   |   | 
   +---+---+---+---+---+ 
   | X |   |   |   | X | 
   +---+---+---+---+---+  
   |   |   |   | X |   | 
   +---+---+---+---+---+ 
   |   |   | X |   |   | 
   +---+---+---+---+---+ 
</pre>


<U>ANSWER</U>. &nbsp;&nbsp;&nbsp;&nbsp;6.