Concept:Syllogism with possibility and definite conclusions requires checking the given relationships using a Venn diagram.
Explanation:All Rose are Lily. So Rose is inside Lily.
Only a few Lily is Lotus means: some Lily are Lotus and some Lily are not Lotus.
No Lotus is Daisy, so Lotus and Daisy are separate.
Conclusion I: Some Daisy can be Rose. This is a possibility. Since there is no direct link between Daisy and Rose, and Rose is inside Lily which is partly not Lotus, it is possible for some Daisy to be Rose. Hence it follows.
Conclusion II: Some Lily is not Daisy. Since some Lily are Lotus and no Lotus is Daisy, those Lily cannot be Daisy. So definitely some Lily are not Daisy. Hence it follows.
Both conclusions logically follow from the statements.
Answer:Both I and II follow. (Option E)