Statements: I. All cakes are ice cream II. No ice cream is chocolate Conclusions: I. Some cakes are chocolate II. No cake is chocolate Choose the correct option:
Step-by-step Solution:
\[ \textbf{Statements:} \] \[ \text{I. All cakes are ice cream} \quad (\text{Cakes} \subseteq \text{Ice cream}) \] \[ \text{II. No ice cream is chocolate} \quad (\text{Ice cream} \cap \text{Chocolate} = \varnothing) \] \[ \textbf{Conclusions:} \] \[ \text{I. Some cakes are chocolate} \] This does not follow, because cakes are a subset of ice cream, and no ice cream is chocolate. So, cakes cannot be chocolate. \[ \text{II. No cake is chocolate} \] This follows, since cakes are ice cream and ice cream has no overlap with chocolate. \[ \textbf{Correct Option: Only Conclusion II follows.} \] ``` ✅