In the following question, three statements are given followed by four conclusions numbered I, II, III and IV. You have to take the given statements to be true even if they seem at variance with commonly known facts and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.
Statements: Some mountains are hillocks. some mountains are rivers. Some mountains are valleys.
Conclusions: I. All mountains are either hillocks or river or valleys. II. No valley is river. III. Some river are valleys.