You can read them if you like tiny text.
The PRS-505 will display A4 sized PDFs, but they'll be shrunk down to that tiny screen. If they've got a 1" margin, and are in 12 pt or smaller type, they'll be hard to read. It will attempt to reflow them--but in many cases, this does odd things with line breaks (it sometimes keeps the original line breaks, and sometimes removes them between short paragraphs like in dialogue). And if there's a lot of images or charts or odd layouts, it may not reflow them at all. Some textbooks, the reflow/larger size function doesn't work on.
You can get free software that will crop out the white borders, and that will help some; that might be enough to make them comfortable to read with the landscape view that shows half a page at a time.
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