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If the first two statements are true, is the final statement true? 1. All birds

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Question: If the first two statements are true, is the final statement true? 1. All birds can fly. 2. Penguins are birds. 3. Penguins can fly.

Options:

  1. True
  2. False
  3. Cannot be determined
  4. All birds cannot fly

Correct Answer: False

Solution:

The first statement is false as not all birds can fly, thus the conclusion about penguins is also false.

If the first two statements are true, is the final statement true? 1. All birds

Practice Questions

Q1
If the first two statements are true, is the final statement true? 1. All birds can fly. 2. Penguins are birds. 3. Penguins can fly.
  1. True
  2. False
  3. Cannot be determined
  4. All birds cannot fly

Questions & Step-by-Step Solutions

If the first two statements are true, is the final statement true? 1. All birds can fly. 2. Penguins are birds. 3. Penguins can fly.
  • Step 1: Read the first statement: 'All birds can fly.' This means every single bird should be able to fly.
  • Step 2: Check if the first statement is true. We know that not all birds can fly because some birds, like ostriches and penguins, cannot.
  • Step 3: Read the second statement: 'Penguins are birds.' This is true; penguins are indeed a type of bird.
  • Step 4: Read the third statement: 'Penguins can fly.' This statement claims that penguins can fly.
  • Step 5: Since the first statement is false (not all birds can fly), we cannot conclude that the third statement is true.
  • Step 6: Therefore, the final statement 'Penguins can fly' is also false.
  • Logical reasoning – The ability to evaluate the truth of statements based on given premises.
  • Syllogism – Understanding the structure of arguments and how conclusions are drawn from premises.
  • Critical thinking – Assessing the validity of statements and recognizing false premises.
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