Question 326013
The minute hand of a clock points directly at the 11. What number will the minute hand point at after 5,555 minutes?
<pre><b>
The minute hand takes 5 minutes to point to the next number, so
we divide

 <u> 1111</u>
5)5555

So it has pointed to a new number exactly 1111 times in those 5555 minutes.
 
Now every time it has pointed to 12 new numbers it has made a complete
revolution.  So we divide again, this time by 12: 

   <u>  92</u>
12)1111
   <u>108</u>
     31
     <u>24</u>
      7

So it has made 92 complete revolutions and ended up with
a remainder of 7 more numbers than those 92 complete
revolutions from where it started, and so it has ended up 7 
numbers past pointing to the 11, and that makes it point to the 
number 6.

Edwin</pre>