Read the given statements and conclusions carefully. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. You have to decide which conclusion/s logically and definitely follow/s from the given statements.
Statements:
Some Bagels are Eggs.
Some Bagels are Cheese.
Some Cheese are Smiles.
Conclusions:
(I) Some Cheese are Eggs.
(II) Some Bagels are Smiles.

Correct option is C

Conclusion I: Some Cheese are Eggs.

The statements do not provide any direct or indirect relationship between Cheese and Eggs. We only know that some Bagels are Eggs, and some Bagels are Cheese, but this does not imply that there is any overlap between Cheese and Eggs. Therefore, this conclusion does not logically follow from the given statements.

Conclusion II: Some Bagels are Smiles.

The statements do not establish any direct connection between Bagels and Smiles. We know that some Bagels are Cheese and some Cheese are Smiles, but this does not mean that Bagels and Smiles are directly related. Therefore, this conclusion does not logically follow from the given statements.

Final Answer:

Neither Conclusion I nor Conclusion II logically and definitely follows from the given statements.

Venn Diagram: