Ever here is 'at any time'. It's similar to 过 I think.
I think that it would usually be used to express a doubt about whether someone had really read it.
2017년 11월 14일
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Yes, Gary is right. It means, "Have you at any time read that book?" Implying that you most likely have not. It is a negative connotation.
2017년 11월 14일
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2017년 11월 14일
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I think it means " did you even try to read the book? "