Mathematics · Syllogism

Three statements are followed by three conclusions numbered I, II and III. Deciding the statements to be true even if they seem to be at variance with commonly known facts, which of the conclusions logically follow(s)? Statements: All lamps are lanterns. All lanterns are torches. All torches are candles. Conclusions: I. Some candles are lamps. II. All lanterns are lamps. III. No lantern is a lamp.