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

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Question: If all roses are flowers and some flowers fade quickly, which of the following is necessarily true?

Options:

  1. Some roses fade quickly.
  2. All flowers are roses.
  3. Some flowers do not fade quickly.
  4. All roses are flowers that fade quickly.

Correct Answer: Some flowers do not fade quickly.

Solution: 

While some flowers fade quickly, it does not imply that all flowers or all roses do; hence, some flowers may not fade quickly.

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

Practice Questions

Q1
If all roses are flowers and some flowers fade quickly, which of the following is necessarily true?
  1. Some roses fade quickly.
  2. All flowers are roses.
  3. Some flowers do not fade quickly.
  4. All roses are flowers that fade quickly.

Questions & Step-by-Step Solutions

If all roses are flowers and some flowers fade quickly, which of the following 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 specify which flowers fade quickly.
  • Step 3: Realize that since only some flowers fade quickly, there are flowers that do not fade quickly.
  • Step 4: Conclude that 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.
  • Syllogism – Understanding the relationship between categories (roses and flowers) and their properties (fading quickly).
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