This expression "....Your huddled masses yearning to breathe free." implies that the people had got closely together - huddled- because they were tired and were yearning for freedom. Therefore, option D. Tired / yearning is the correct one. A. Give / your will not be helpful to infer the context since 'your' by itself conveys no meaning. B) Masses / free refer to the fact that the masses desired to be free , but they do not refer to the reason why the masses had got to be closely together. C) Breathe / me are not giving any hints; to breathe refers to the desire of the masses to be free and 'me' is a pronoum which by itself means nothing in this context.
