Question

Statement: All roses are flowers.
Conclusion: Some flowers are roses.
Is the conclusion valid?

• A. Yes
• B. No
• C. Partially valid
• D. Cannot determine

Hint:

For "some" conclusions, check if the statement implies the existence of the subset.

Answer 1

The Correct Option is A

- Step 1: Analyze the statement. "All roses are flowers" means every rose is a flower (R \rightarrow F).
- Step 2: Evaluate the conclusion. "Some flowers are roses" means there exist flowers that are roses.
- Step 3: Apply logical reasoning. If all roses are flowers, and assuming roses exist, then some flowers must be roses.
- Step 4: Test for validity. The conclusion holds as long as at least one rose exists, which is a reasonable assumption in context.
- Step 5: Check options. Option (1) "Yes" is correct. Option (2) "No" is incorrect as the conclusion follows. Option (3) "Partially valid" is not applicable. Option (4) "Cannot determine" is incorrect as the conclusion is determinable.
- Step 6: Conclusion. Option (1) is correct.