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Which of the following statements is logically valid based on the premises: All

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Question: Which of the following statements is logically valid based on the premises: All roses are flowers. Some flowers fade quickly.

Options:

  1. Some roses fade quickly.
  2. All flowers are roses.
  3. No roses fade quickly.
  4. Some flowers do not fade quickly.

Correct Answer: Some flowers do not fade quickly.

Solution: 

The premises do not provide information about all flowers, so it is valid to conclude that some flowers do not fade quickly.

Which of the following statements is logically valid based on the premises: All

Practice Questions

Q1
Which of the following statements is logically valid based on the premises: All roses are flowers. Some flowers fade quickly.
  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

Which of the following statements is logically valid based on the premises: All roses are flowers. Some flowers fade quickly.
  • Step 1: Understand the first premise: 'All roses are flowers.' This means every rose is included in the group of flowers.
  • Step 2: Understand the second premise: 'Some flowers fade quickly.' This means there are certain flowers that do fade quickly, but it does not say anything about all flowers.
  • Step 3: Analyze what we can conclude: Since we know that not all flowers are mentioned in the second premise, it is possible that some flowers do not fade quickly.
  • Step 4: Conclude that it is logically valid to say that some flowers do not fade quickly, based on the information given.
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