If all birds can fly and some birds are penguins, which of the following stateme

Practice Questions

Q1
If all birds can fly and some birds are penguins, which of the following statements is true?
  1. Penguins can fly.
  2. Not all birds can fly.
  3. All penguins are birds.
  4. Some birds cannot fly.

Questions & Step-by-Step Solutions

If all birds can fly and some birds are penguins, which of the following statements is true?
  • Step 1: Understand the first part of the statement: 'All birds can fly.' This means every single bird has the ability to fly.
  • Step 2: Understand the second part of the statement: 'Some birds are penguins.' This means that there are birds that are specifically penguins.
  • Step 3: Recall what we know about penguins: Penguins are birds that cannot fly.
  • Step 4: Compare the two parts: If all birds can fly, then penguins, being birds, should also be able to fly.
  • Step 5: Identify the contradiction: Since penguins cannot fly, the statement 'All birds can fly' cannot be true if some birds are penguins.
  • Step 6: Conclude that the premise contradicts itself.
  • Logical Contradiction – Understanding that a statement cannot be true if it contains conflicting information.
  • Categorical Logic – Analyzing relationships between categories (e.g., birds and their ability to fly).
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