SSC MTS 6 Oct 2021 Shift 2 Paper

Two statements are given followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
All pigeons are crows.
No crow is a bird.
Conclusions:
I. Some crows are pigeons.
II. Some pigeons are birds.
III. No pigeon is a bird.