According to [thesaurus.com][1], *quick parts* is a synonym of *intelligence* or *wisdom*:

> **[Nouns]** intelligence, capacity, comprehension, understanding; cuteness, sabe [U.S.], savvy [U.S.]; intellect; nous, parts, sagacity, mother wit, wit, esprit, gumption, **quick parts**, grasp of intellect; acuteness; acumen, subtlety, penetration, perspicacy, perspicacity; discernment, due sense of, good judgment; discrimination; cunning; refinement (taste).


And the [Moby Thesaurus II][2] gives it as one of nearly 300 synonyms for *sharpness*.


An example from [1852][3]'s *Home and Social Philosophy*:

> A man of **quick parts** may, indeed, strike out new and correct ideas upon a subject concerning which he is generally ill-informed; but if he wish that his idea should be useful, he must place it in the hands of one of the world's workers, who has spared no pains to teach himself upon that special subject all that his brethren know. 

And from [1860][4]'s *Contributions to the Edinburgh Review*:


> The truth is that, though Barère was a man of **quick parts**, and could do with ease what he could do at all, he had never been a good writer. In the day of his power he had been in the habit of haranguing an excitable audience on exciting topics. 


  [1]: http://thesaurus.com/roget/IV/498.html
  [2]: http://onlinedictionary.datasegment.com/word/sharpness
  [3]: http://books.google.com/books?id=iDEWAAAAYAAJ&pg=PA20&dq=%22quick%20parts%22&hl=en&ei=lLuvToTyHcXMtAb6qZVd&sa=X&oi=book_result&ct=result&resnum=2&ved=0CDgQ6AEwAQ#v=onepage&q=%22quick%20parts%22&f=false
  [4]: http://books.google.com/books?id=mmAJAAAAQAAJ&pg=PA193&dq=%22quick%20parts%22&hl=en&ei=lLuvToTyHcXMtAb6qZVd&sa=X&oi=book_result&ct=result&resnum=1&ved=0CDMQ6AEwAA#v=onepage&q=%22quick%20parts%22&f=false