In each of the questions below are given four statements followed by four conclusions numbered I, II, III and IV. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.
Statements
All parrots are pigeons.
Some crows are pigeons.
Some sparrows are crows.
All sparrows are koels.
Conclusions
I. Some koels are crows.
II. Some parrots are crows.
III. Some sparrows are pigeons.
IV. No crow is a parrot.