“So why have you decided to let us have our things now? Can’t you think of a pretext to keep them?”
-- Harry Potter (DH7)
Dumbledore left Ron the Deluminator, Hermione his copy of The Tales of Beedle the Bard in original runes, and Harry the sword of Gryffindor and the first snitch Harry ever caught. Scrimgeour is clearly curious why Dumbledore left these particular items to Harry, Ron, and Hermione, but he is forced to leave with his questions unanswered.