If all roses are flowers and some flowers fade quickly, what follows?
Problem Statement
Answer
D) None of the above can be concluded with certainty
Step-by-Step Explanation
- 1
The first statement tells us that roses are a subset of flowers. Every rose is a flower, but not every flower is a rose.
- 2
The second statement tells us that at least some flowers have the property of fading quickly.
- 3
However, we are not told which flowers fade quickly. It could be roses, tulips, daisies, or any other type of flower.
- 4
We cannot conclude that all roses fade quickly (option A) because we only know that some flowers fade quickly, not all.
- 5
We cannot conclude that some roses fade quickly (option B) because the flowers that fade quickly might not include roses at all.
- 6
We cannot conclude that no roses fade quickly (option C) for the same reason - we simply don't have information about roses specifically.
- 7
Therefore, the correct answer is D - we cannot draw any certain conclusion about whether roses fade quickly or not.