Is the Taiwanese Beta ahead of the Korean Version or is it at the same patch as the Korean Version is AT THIS MOMENT?

Ahead.

The current versions of each game are listed at the top of their respective forums and are automatically updated every 30 minutes. Each version of DBO also uses the same (or at least very similar) numbering for their patches.

Current Korean Game Version: 1.0.46
Current Taiwanese Game Version: 1.51.31

The last version to be released on the Korean test servers was 1.51.9.

So does that mean in the next korean update the taiwanese version will still be ahead

No we are ahead.

I think he means that next time they update there version will still be behind tai server.

Korean will be ahead.

Yes korean will
in taiwan is it only test server the same test they tested also in korea

Not exactly the same, there were a few things different from that test server.
but it was more or less the same.

now korean walks ahead :P