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Cognomen Daj (Dozen , Daj , Dayik ) , in the world, is a common last name. The surname Daj is habitual in Japan, where it is quite a common surname, Iran, where it is quite a rare surname, and Romania, where it is a rare surname. Not in comparison with a country's population, the name is most common in Japan, Iran, and Indonesia. Much less frequently, Daj is the forename as well as the last name.