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We all know that G's site command is a useful tool to show how many pages our sites have listed in the index
Does the site: command show what pages G thinks are important on your site in the first positions?
we all know that it is broken. So very, very, very broken.
I think yes. I think it's PageRank order, descending.
the site:- operator is broken
It would make life much easier for webmasters if the site: results were listed in page trust/quality.
The one thing you can sort of depend on is that the domain root should be #1 - if it isn't, something is wrong somewhere. But what that may be (your problem or Google's) is not always clear. The only thing that is clear to me is that it is not a healthy sign.
site operator does not return domain root at # 1 for my site... can you please guide me what can i do to resolve this issue
1. Where does the homepage rank?
2. Do the pages that rank ahead of it have a large quantity/quality of incoming links?
What exactly do you mean by "broken"?
...Google will return the blocked URLs (and how many of them there are) when you use the site:- operator