The episodes were snapped up at the BBC Worldwide Showcase 2013 event and will be shown on the satellite TV broadcaster's pan-Arabic children's channel JCC, which launched in 2005 and is based in Qatar.
The showcase is a four-day international TV market being held at ACC Liverpool. It started yesterday and is welcoming some 700 TV buyers from around the globe.
Paola Tonella, BBC Worldwide's sales and distribution territory manager for the Middle East and Africa, said:
Drama is topping the bill at this year's showcase and it's clear that BBC Worldwide's programming, with its quality scripts and first-class production values, are extremely attractive to global buyers.Among the star names at yesterday's gala opening were Eve Myles and Mark Williams.
The showcase will also be hosting special events to both celebrate the 50th anniversary of Doctor Who and to spotlight the natural-history documentary series Africa.
Steve Macallister, the president and managing director of sales and distribution at BBC Worldwide, said:
In another record-breaking year, we welcome our largest number of buyers to Liverpool - up by 10 per cent on last year - and we have two brilliant programme-themed evenings planned. Africa is certain to capture the imagination of our delegates, as it has the British public over the past few weeks. What a perfect opportunity to also celebrate the world's longest-running sci-fi series with Doctor Who in its 50th year.