I wouldn't be able to write a bubble-sort specifically.
But if I were asked to "sort" a set of numbers, I'm sure I'd come up with some unholy combination of bubble, selection, and insertion sort that got the job done.
I always have to consult the books to remember the difference between bubble, insertion, and selection sorts. But even without documentation, surely people can write a list of numbers (ex: 9, 4, 5, 3, 2, 6, 0, 1, 8, 7), and then tinker with an algorithm until that list was in order? (0 1 2 3 4 5 6 7 8 9)
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Here's the thing about programming: you don't have to travel very far before you get into the "nobody knows the answer". The internet provides enough information for the first ~2 months on the job. Specialized books on your topic (ex: GPUs, HPC, OpenMP, etc. etc.) may cover another 1 or 2 months of training on the job.
After that? Nobody in the world is doing what you do. Nobody has to work with your particular configuration of tools, your particular problems (performance? Bugs? Architecture?). Your particular office politics. Literally no one else in the world. And yet, you'll be responsible for coming up with a solution that works, even without any guides.
That's why people like testing people "without the internet". Because in most cases, there's no guide to tell you how to progress a real project in the real world.