@Srivatsan I know slightly more ;-)
I think that I am an exception in "how type three" I am. I can really see the big picture. I see it very very good. I often understand how the detail work just by seeing the big picture so well that I can see portions of it to a very fine resolution. However I find it hard sometimes to even deal with "level two details" by hand.
Most of my exams, works, whatever have similar remarks - that I have a very impressive attitude to math, but I do badly handling the details.