Three statements are given followed by two conclusions numbered I and II.  Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.

Statements:

All birds are crows.

Some crows are parrots.

No crow is a pigeon.

Conclusions:

(I) No parrot is a pigeon.

(II) Some birds are parrots.

Neither conclusions follow 

A Venn diagram based on the statements is:

1. There is no correlation established between parrot and pigeon, thus conclusion I does not follow.

2. There is no correlation established between birds and parrots, thus conclusion II does not follow.