Some cars are red. All red things are fast. Therefore, some cars are fast. Is this conclusion valid? (2023)
Practice Questions
1 question
Q1
Some cars are red. All red things are fast. Therefore, some cars are fast. Is this conclusion valid? (2023)
Yes
No
Only if all cars are red
Only if some fast things are cars
The conclusion is valid. If some cars are red and all red things are fast, then it follows that some cars are fast.
Questions & Step-by-step Solutions
1 item
Q
Q: Some cars are red. All red things are fast. Therefore, some cars are fast. Is this conclusion valid? (2023)
Solution: The conclusion is valid. If some cars are red and all red things are fast, then it follows that some cars are fast.
Steps: 4
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 everything that is red 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), it means those red cars must also be fast.
Step 4: Conclusion: Therefore, it is valid to say that some cars are fast because the red cars are included in the group of fast things.
