Some students are diligent. All diligent people succeed. Therefore, some students succeed. Is this conclusion valid? (2023)
Practice Questions
1 question
Q1
Some students are diligent. All diligent people succeed. Therefore, some students succeed. Is this conclusion valid? (2023)
Yes
No
Only if all students are diligent
Only if some diligent people are students
The conclusion is valid. If some students are diligent and all diligent people succeed, then it follows that some students succeed.
Questions & Step-by-step Solutions
1 item
Q
Q: Some students are diligent. All diligent people succeed. Therefore, some students succeed. Is this conclusion valid? (2023)
Solution: The conclusion is valid. If some students are diligent and all diligent people succeed, then it follows that some students succeed.
Steps: 4
Step 1: Identify the first statement: 'Some students are diligent.' This means there is at least one student who is diligent.
Step 2: Identify the second statement: 'All diligent people succeed.' This means every person who is diligent will succeed.
Step 3: Combine the two statements: Since some students are diligent and all diligent people succeed, it means that the diligent students will also succeed.
Step 4: Conclusion: Since there is at least one diligent student and all diligent students succeed, it follows that at least one student (the diligent one) succeeds.
