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Which of the following statements is logically inconsistent with the others? 1.

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Question: Which of the following statements is logically inconsistent with the others? 1. All cats are mammals. 2. Some mammals are not cats. 3. All mammals are warm-blooded. 4. No warm-blooded animals are reptiles.

Options:

  1. Statement 1
  2. Statement 2
  3. Statement 3
  4. Statement 4

Correct Answer: Statement 2

Solution: 

Statement 2 contradicts the implication that all mammals could be warm-blooded, as it suggests some mammals are excluded.

Which of the following statements is logically inconsistent with the others? 1.

Practice Questions

Q1
Which of the following statements is logically inconsistent with the others? 1. All cats are mammals. 2. Some mammals are not cats. 3. All mammals are warm-blooded. 4. No warm-blooded animals are reptiles.
  1. Statement 1
  2. Statement 2
  3. Statement 3
  4. Statement 4

Questions & Step-by-Step Solutions

Which of the following statements is logically inconsistent with the others? 1. All cats are mammals. 2. Some mammals are not cats. 3. All mammals are warm-blooded. 4. No warm-blooded animals are reptiles.
  • Step 1: Read all the statements carefully.
  • Step 2: Identify what each statement means.
  • Step 3: Statement 1 says all cats belong to the group of mammals.
  • Step 4: Statement 2 says there are some mammals that are not cats.
  • Step 5: Statement 3 says every mammal is warm-blooded.
  • Step 6: Statement 4 says that no warm-blooded animals can be reptiles.
  • Step 7: Analyze if any statement contradicts the others.
  • Step 8: Notice that if all mammals are warm-blooded (Statement 3), and some mammals are not cats (Statement 2), it does not create a contradiction.
  • Step 9: Realize that all statements can be true together except for Statement 2, which implies some mammals are not warm-blooded.
  • Step 10: Conclude that Statement 2 is logically inconsistent with the others.
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