Source: http://labs.qt.nokia.com/2010/10/06/qt-sdk-2010-05-1-for-linux-released/
On Linux/Unix, you need to make the file executable in order to run it. You can either do this with your desktop's file manager or, at the command line, type:
chmod u+x qt-sdk-linux-x86-opensource-2010.05.1.bin
You should now be able to execute the file as normal. You can do this from the command line by typing:
./qt-sdk-linux-x86-opensource-2010.05.1.bin