You can guess from the content and style. For example, I could easily see today's quote was Old Testament even though its not one I know, although I did not guess the book, successfully.
I do not know the Bible particularly well compared to many other people, and I know the New Testament better than the Old (not uncommon - its both smaller and more important to Christians).
I do not know the Bible particularly well compared to many other people, and I know the New Testament better than the Old (not uncommon - its both smaller and more important to Christians).