Statements: 1. All cakes are ice cream 2. No ice cream is chocolate
Conclusions: 1. Some cakes are chocolate 2. No cake is chocolate Choose the correct option:
We are given the following statements: - All cakes are ice cream. - No ice cream is chocolate. From these statements, let's analyze the conclusions:
Conclusion 1: Some cakes are chocolate.
This conclusion would imply that there is an overlap between cakes and chocolate. However, from the given statements, we know that no ice cream (and thus no cakes) can be chocolate. Therefore, conclusion 1 does not follow.
Conclusion 2: No cake is chocolate.
Since all cakes are ice cream, and no ice cream is chocolate, it follows that no cake can be chocolate. Therefore, conclusion 2 follows. Thus, the correct answer is option (d).
Consider the following statements followed by two conclusions.
Statements: 1. Some men are great. 2. Some men are wise.
Conclusions: 1. Men are either great or wise. 2. Some men are neither great nor wise. Choose the correct option:
Statements: All apples are fruits. All fruits are tasty.
Conclusions: 1. All apples are tasty. 2. Some tasty things are apples.