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If all roses are flowers and some flowers fade quickly, which of the following s

Practice Questions

Q1
If all roses are flowers and some flowers fade quickly, which of the following statements is necessarily true?
  1. Some roses fade quickly.
  2. All flowers are roses.
  3. No roses fade quickly.
  4. Some flowers do not fade quickly.

Questions & Step-by-Step Solutions

If all roses are flowers and some flowers fade quickly, which of the following statements is necessarily true?
  • Step 1: Understand that all roses are included in the category of flowers.
  • Step 2: Recognize that the statement says some flowers fade quickly, but it does not say that all flowers fade quickly.
  • Step 3: Conclude that since not all flowers fade quickly, there must be some flowers that do not fade quickly.
  • Step 4: Since roses are flowers, it is possible that some roses do not fade quickly.
  • Logical Deduction – The ability to draw conclusions based on given premises.
  • Categorical Logic – Understanding relationships between categories (e.g., roses and flowers).
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