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

Analyze the statements:
- "All roses are flowers": Roses are a subset of flowers.
- "Some flowers are red": At least one flower is red, but it may or may not be a rose.
Now, evaluate the options:
- (1) All roses are red: Not necessarily true, as red flowers may not include roses.
- (2) Some roses are red: Not necessarily true, as no information confirms roses are red.
- (3) Some flowers are not roses: Not necessarily true, as all flowers could be roses.
- (4) None of the above: Since none of the statements are definitively true, this is correct.
Thus, option (4) is correct.