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Family name Onai (Onai , Онай , Онаи ) , worldwide, is a rare last name. The cognomen Onai is habitual in Ghana, where it is quite a rare surname, Tanzania, where it is a rare surname, and Ukraine, where it is a very rare surname. Not in comparison with a country's population, it is commonest in Ghana, Tanzania, and China. Likewise, Onai is the forename as well as the last name.