Question

If all roses are flowers and some flowers are red, which statement must be true?

• A. All roses are red.
• B. Some roses are red.
• C. Some flowers are not roses.
• D. None of the above.

Hint:

In logical reasoning, only conclusions that must follow from the premises are true.

Answer 1

The Correct Option is D

Statement Analysis:
- "All roses are flowers": Roses constitute a subset of flowers.
- "Some flowers are red": This implies the existence of at least one red flower. Such a flower might or might not be a rose.
Evaluation of Options:
- (1) All roses are red: This conclusion is not guaranteed, as the set of red flowers may not encompass roses.
- (2) Some roses are red: This is not necessarily true; there is no information to confirm that any roses are red.
- (3) Some flowers are not roses: This is not necessarily true; it is possible that all flowers are roses.
- (4) None of the above: As none of the preceding statements can be definitively confirmed as true, this option is correct.
Therefore, option (4) is the correct selection.