Is there any way of indentifying this file type?

I'm adding some very old work to my web site. One job is full of file types that I personally haven't used for years, EPS (Encapsulated Post Script) for example.

I've been through all of the files & added the correct file extension. Most of them actually said the file type in the finder, even though the icon the Mac used was a black "exec" file.

Some of them were a bit tricky but, going by the truncated file name, I guessed that they were Quark Xpress files, added the extension & was able to open them quite happily in InDesign.

I'm left with 2 files that I cannot identify & I'm wondering if anyone knows how I might "look into" those files & establish what file type they are?

This one tells me the file type under the icon:

This one doesn't:

Thanks in advance for any help.