The last Qatar Airways SO scheme was back in 2005 (read back through this thread), and was advertised in Flight International in Jan or Feb 2005. I have not seen the scheme advertised since. So I have no idea if they are still running a SO scheme.
At my interview group the three main nationalities were Canadian, English and Brazilian; therefore middle Eastern citizenship was not required.
I applied in Feb 2005 and was interviewed in November 2005, at the time I applied I was low houred modular (270 hours), however I did hold an aero engineering degree and I was also under the 29 yr age limit at the time. Obvioulsy I wasn't succesful because I am now a flight instructor.
One batch was interviewed in London and another in Doha, but I hardly heard about anyone that actually started the scheme. The requirements are already stated in this thread, but I will repeat them here for clarity.
It simply said frozen ATPL from recognised school, with preference for those with a tertiary education in a science or engineering, under 29 years of age. Possibility it may have mentioned management subjects as acceptable as well.