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).
"In order to be a teacher, one must graduate from college. All poets are poor. Some Mathematicians are poets. No college graduate is poor."
Which of the following is true?
Statements: All apples are fruits. All fruits are tasty.
Conclusions: 1. All apples are tasty. 2. Some tasty things are apples.
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:
Five friends A, B, C, D, and E are sitting in a row facing north, but not necessarily in the same order:
B is to the immediate left of C
E is not at any of the ends
D is to the right of E but not next to C
A is at one of the ends
Who is sitting in the middle?
How many triangles are there in the figure given below? 