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Statement-Conclusion - Advanced Level: logical entailment ADVANCED

Level up your statement-conclusion skills with this challenging mix. 20 advanced-level problems await in Worksheet 24 of 30. Focus area: logical entailment. Learn conclusion drawing, inference making, logical consequences through systematic practice. Designed for advanced learners seeking complex scenarios and multi-step problems.

📝 Worksheet 24 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Advanced level

What you'll learn in this worksheet:
Your progress through Statement-Conclusion
Worksheet 24 of 30 (80% complete)

Question 1

Statements: No student failed the test. Everyone who didn't study failed the test. Some students didn't study for the test. What can be concluded?
The statements present contradictory information, making 'The statements are logically inconsistent' the most logical conclusion.
conclusion, contradiction, logic

Question 2

Statements: No student failed the test. Everyone who didn't study failed the test. Some students didn't study for the test. What can be concluded?
The statements present contradictory information, making 'The statements are logically inconsistent' the most logical conclusion.
conclusion, contradiction, logic

Question 3

Statement: 90% of students who attend all classes pass the exam. Sarah attended all classes. What is the most reasonable conclusion?
Given the probabilistic nature of the statement, 'Sarah will likely pass the exam' is the most reasonable conclusion without overstating certainty.
conclusion, probability, likelihood

Question 4

Premises: All books in this library are catalogued. Some catalogued items are digital. All digital items are searchable. Which conclusion can be drawn with certainty?
Following the logical chain from the premises, 'Some books are searchable' is the only conclusion that can be drawn with certainty.
conclusion, syllogism, premises

Question 5

Premises: In a study of 10,000 people, 95% who exercised daily reported better sleep. 80% who exercised 3-4 times weekly reported better sleep. 30% who exercised rarely reported better sleep. Sarah exercises 5 times per week. 1. Sarah definitely has better sleep than someone who never exercises 2. Sarah is more likely to have better sleep than the average person 3. Exercise improves sleep quality for most people Which conclusion is the WEAKEST (most/least strongly supported by the premises)?
The weakest conclusion is: 'Sarah definitely has better sleep than someone who never exercises' because Correlation doesn't guarantee individual outcomes; individual variation exists.
conclusion, ranking, strength, support

Question 6

Premises: All students who passed the exam studied at least 10 hours. John studied 15 hours. Mary studied 5 hours. Sarah studied 10 hours exactly. Statement: Sarah passed the exam Based only on the premises, is this statement:
Could be true — She meets the study requirement, but passing isn't guaranteed
conclusion, classification, logic, necessity

Question 7

Statement: All birds have wings. Sparrows are birds. Which conclusion logically follows?
Based on the given statements, 'Sparrows have wings' is the only conclusion that logically follows without making additional assumptions.
conclusion, direct, logic

Question 8

Statement: 90% of students who attend all classes pass the exam. Sarah attended all classes. What is the most reasonable conclusion?
Given the probabilistic nature of the statement, 'Sarah will likely pass the exam' is the most reasonable conclusion without overstating certainty.
conclusion, probability, likelihood

Question 9

Premises: Some doctors are researchers. No researchers are lazy. All lazy people are unhappy. Statement: Some doctors are not lazy Based only on the premises, is this statement:
Must be true — Some doctors are researchers, and no researchers are lazy
conclusion, classification, logic, necessity

Question 10

Premises: No politician is honest. All honest people are trusted. Some trusted people are wealthy. Which conclusion can be drawn with certainty?
Following the logical chain from the premises, 'No politician is trusted' is the only conclusion that can be drawn with certainty.
conclusion, syllogism, premises

Question 11

Premises: No politician is honest. All honest people are trusted. Some trusted people are wealthy. Which conclusion can be drawn with certainty?
Following the logical chain from the premises, 'No politician is trusted' is the only conclusion that can be drawn with certainty.
conclusion, syllogism, premises

Question 12

Given: In a survey of 1000 people: 600 own cars, 400 own motorcycles, 200 own both cars and motorcycles. 100 people own neither. What conclusion can be drawn?
Using set theory and logical deduction from the given numbers, '800 people own at least one vehicle' is the accurate conclusion.
conclusion, quantitative, set-theory

Question 13

Statements: All employees must work from office. The company policy allows flexible remote work. John works entirely from home and follows company policy. What can be concluded?
The statements present contradictory information, making 'There's a contradiction in the policies' the most logical conclusion.
conclusion, contradiction, logic

Question 14

Statement: No metal is transparent. Glass is transparent. Which conclusion logically follows?
Based on the given statements, 'Glass is not metal' is the only conclusion that logically follows without making additional assumptions.
conclusion, direct, logic

Question 15

Premises: If it's raining, the ground is wet. The ground is not wet. Statement: It is not raining Based only on the premises, is this statement:
Must be true — If it were raining, ground would be wet (modus tollens)
conclusion, classification, logic, necessity

Question 16

Statement: If the new policy is implemented, efficiency will improve. If efficiency improves, costs will decrease. If costs decrease, profits will increase. The company has decided to implement the new policy. What can be concluded?
Following the chain of conditional logic (if-then statements), 'Company profits will increase' is the logical conclusion.
conclusion, conditional, chain-reasoning

Question 17

Premises: If it's raining, the ground is wet. The ground is not wet. Statement: It could be raining but the ground dried quickly Based only on the premises, is this statement:
Must be false — Premise says 'if raining → ground wet' with no time delay specified
conclusion, classification, logic, necessity

Question 18

Statement: All students in this class passed the exam. John is in this class. Which conclusion logically follows?
Based on the given statements, 'John passed the exam' is the only conclusion that logically follows without making additional assumptions.
conclusion, direct, logic

Question 19

Statements: All employees must work from office. The company policy allows flexible remote work. John works entirely from home and follows company policy. What can be concluded?
The statements present contradictory information, making 'There's a contradiction in the policies' the most logical conclusion.
conclusion, contradiction, logic

Question 20

Premises: All mammals have hair. Whales are mammals. Dolphins are mammals. Bats are mammals. Some mammals live in water. Some mammals fly. 1. Whales have hair 2. All animals with hair are mammals 3. Some flying animals are mammals Which conclusion is the WEAKEST (most/least strongly supported by the premises)?
The weakest conclusion is: 'All animals with hair are mammals' because The premises don't state this; other animals (e.g., some reptiles) could have hair.
conclusion, ranking, strength, support
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