Read the given statements and conclusions carefully.

Solution

Given Statements:  Some houses are trees. All flowers are houses. No vegetable is a flower.  The possible Venn diagram for the given statement is:   Conclusions:  I. Some vegetables are houses is a possibility - True (Because, some houses are not vegetables, but no information is given about the remaining part between vegetables and houses, so it can be possible). II. Some flowers are trees is a possibility - True (Because, no definite relation is given between flowers and trees, so it can be possible).  III. No vegetable is a house - False (Because, some vegetables are definitely not houses, but no information is given about the remaining part, so it can be possible).  So, both conclusions I and Il follow. Hence, the correct answer is option (C).