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Answer: E



The first 12 dots - which repeat:   

2007$\div$12 = 167 remainder 3 so 2004 is a multiple of 12 $\therefore$ will be a 12th dot:
2007 - 2011 section begins with a double line diagonally downwards
$\therefore$ it is E


 
This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.