Question

If all roses are flowers, and some flowers are red, which of the following must be true?

• A. Some roses are red
• B. All flowers are roses
• C. Some red things are roses
• D. None of these

Hint:

For “must be true” questions, ensure the conclusion is guaranteed by the statements.

Answer 1

The Correct Option is D

We need to determine which statement must be true.
- Step 1: Analyze statements:
- All roses are flowers (All R are F).
- Some flowers are red (Some F are Red).
- Step 2: Use Venn diagrams:
- R is a subset of F.
- Some F overlap with Re(d)
- Step 3: Check options:
- (a) Some roses are red: Possible, but not guaranteed, as R may not overlap Re(d)
- (b) All flowers are roses: Incorrect, as R is a subset of F.
- (c) Some red things are roses: Possible, but not necessary.
- (d) None of these: Correct, as no option must be true.
Thus, the answer is d.