The diagram shows some of the vertical lines drawn for values of x between 0 and 1 as 
described in the question. The lines are of height 1 unit at x = 0 and 1, of height ½ unit 
at x= ½ , of height ¼ units at x = ¼ and x= ¾ and so on up to height 1/25 at x=k/25  where 
k is an odd positive integer. 




    


<p><img src="mcprob4/ruler.gif" alt=
"Large scale image of a ruler" /></p>
<p>&nbsp;</p>
Imagine drawing more sets of vertical lines half way between the
existing lines, each successive set being half the height of the
previous set. This question is now a tough nut. The question asks
about how many lines a horizontal bar would cut as you make it
lower and lower, in other words you have to decide how many lines
there are at the nth stage. You also have to decide what happens to
the heights of the lines as you draw more and more sets and what
happens to the number of lines as you draw in more and more sets.