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Some cars are red. All red things are fast. Therefore, some cars are fast. (2023

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Question: Some cars are red. All red things are fast. Therefore, some cars are fast. (2023)

Options:

  1. True
  2. False
  3. Cannot be determined
  4. None of the above

Correct Answer: True

Exam Year: 2023

Solution:

The conclusion logically follows from the premises.

Some cars are red. All red things are fast. Therefore, some cars are fast. (2023

Practice Questions

Q1
Some cars are red. All red things are fast. Therefore, some cars are fast. (2023)
  1. True
  2. False
  3. Cannot be determined
  4. None of the above

Questions & Step-by-Step Solutions

Some cars are red. All red things are fast. Therefore, some cars are fast. (2023)
  • Step 1: Identify the first statement: 'Some cars are red.' This means there are at least a few cars that are red.
  • Step 2: Identify the second statement: 'All red things are fast.' This means if something is red, it is also fast.
  • Step 3: Combine the information: Since some cars are red (from Step 1) and all red things are fast (from Step 2), those red cars must also be fast.
  • Step 4: Conclusion: Therefore, we can say that some cars (the red ones) are fast.
  • Logical Deduction – The ability to derive a conclusion from given premises using logical reasoning.
  • Quantifiers in Logic – Understanding the implications of 'some' and 'all' in logical statements.
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