Three statements are followed by three conclusions numbered I, II and III. You have to consider these statements to be true, even if they seem to be at variance with commonly known facts. Decide which of the given conclusions logically follow(s) from the given statements.

Statements:
All peacocks are pigeons.
Some pigeons are pinks.
Some pinks are birds.

Conclusions:
(I) Some pinks are peacocks.
(II) Some birds are pigeons.
(III) Some peacocks are birds.