Read the given statements and conclusions carefully. 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:
I. Some roses are pink.
II. All pink are pigs.
III. Some pigs are birds.
Conclusions:
I. Some birds are pink.
II. Some pigs are pink.
III. Some pigs are roses.
IV. Some birds are roses.

Correct option is C

From the statement following Venn diagram can be –

Conclusions:
I. Some birds are pink.
· From statement II, "All pink are pigs," it means pink is a subset of pigs. From statement III, "Some pigs are birds," we know that only some pigs are birds, but we cannot confirm that any of those pigs (birds) are pink.
· Conclusion I does not follow.
II. Some pigs are pink.
· From statement II, "All pink are pigs," it is clear that pink is a subset of pigs. Therefore, some pigs are definitely pink.
· Conclusion II follows.
III. Some pigs are roses.
· From statement I, "Some roses are pink," and statement II, "All pink are pigs," it can be deduced that some roses are pigs (via pink).
· Conclusion III follows.
IV. Some birds are roses.
· There is no direct or indirect connection between birds and roses in the statements provided.
· Conclusion IV does not follow.
Correct answer is (c) Only II and III follow.