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Cognomen Monroig (Monroig ) , in the entire world, is quite a rare last name. The last name Monroig is habitual in Puerto Rico, where it is quite a rare surname, Bolivia, and Spain, where it is a rare surname. Measured by absolute frequency, it most frequently occurs in the United States, Bolivia, and Spain. Very seldom, Monroig is the forename as well as the last name.