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Statement-Conclusion - Advanced Level: certain conclusions ADVANCED

Master statement-conclusion concepts through this hard problem set practice set. Worksheet 26 of 30 contains 20 advanced-level problems. Deep dive into certain conclusions while learning logical consequences, necessary conclusions, possible conclusions. Recommended for advanced learners aiming for complex scenarios and multi-step problems.

📝 Worksheet 26 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Advanced level

What you'll learn in this worksheet:
Your progress through Statement-Conclusion
Worksheet 26 of 30 (86% complete)

Question 1

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 2

Given: Of 200 job applicants: 120 have experience, 80 have certifications, 50 have both experience and certifications. 30 have neither. What conclusion can be drawn?
Using set theory and logical deduction from the given numbers, '170 applicants have at least one qualification' is the accurate conclusion.
conclusion, quantitative, set-theory

Question 3

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 STRONGEST (most/least strongly supported by the premises)?
The strongest conclusion is: 'Exercise improves sleep quality for most people' because Large study shows clear dose-response relationship across population.
conclusion, ranking, strength, support

Question 4

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 5

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: Mary did not pass the exam Based only on the premises, is this statement:
Could be true — She studied less than 10 hours, so she cannot have passed given the premise
conclusion, classification, logic, necessity

Question 6

Given: A school has 500 students. 60% are in sports, 40% are in music, 20% are in both activities. How many students are in neither activity? What conclusion can be drawn?
Using set theory and logical deduction from the given numbers, '100 students are in neither activity' is the accurate conclusion.
conclusion, quantitative, set-theory

Question 7

Statements: All cats are independent. Some cats are very social and need constant companionship. Fluffy is a cat who loves being around people all the time. What can be concluded?
The statements present contradictory information, making 'The statements contain contradictory information' the most logical conclusion.
conclusion, contradiction, logic

Question 8

Premises: If interest rates rise, bond prices fall. If bond prices fall, investors lose money. The Federal Reserve announced a rate hike yesterday. Bond prices dropped 5% today. 1. The rate hike caused bond prices to drop 2. Some investors lost money today 3. All investors lost money Which conclusion is the WEAKEST (most/least strongly supported by the premises)?
The weakest conclusion is: 'All investors lost money' because Only bond investors lost money; other investments may have gained.
conclusion, ranking, strength, support

Question 9

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 STRONGEST (most/least strongly supported by the premises)?
The strongest conclusion is: 'Exercise improves sleep quality for most people' because Large study shows clear dose-response relationship across population.
conclusion, ranking, strength, support

Question 10

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 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

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 13

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 14

Given: Of 200 job applicants: 120 have experience, 80 have certifications, 50 have both experience and certifications. 30 have neither. What conclusion can be drawn?
Using set theory and logical deduction from the given numbers, '170 applicants have at least one qualification' is the accurate conclusion.
conclusion, quantitative, set-theory

Question 15

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 16

Statement: If unemployment rises, consumer spending decreases. If consumer spending decreases, GDP growth slows. If GDP growth slows, government revenue falls. Unemployment has increased significantly. What can be concluded?
Following the chain of conditional logic (if-then statements), 'Government revenue will fall' is the logical conclusion.
conclusion, conditional, chain-reasoning

Question 17

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 18

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: John passed the exam Based only on the premises, is this statement:
Could be true — Studying 15 hours meets the requirement, but the premise doesn't say studying guarantees passing
conclusion, classification, logic, necessity

Question 19

Statement: Companies that invest in R&D usually outperform their competitors. XYZ Corp has doubled its R&D budget this year. What is the most reasonable conclusion?
Given the probabilistic nature of the statement, 'XYZ Corp will likely outperform competitors' is the most reasonable conclusion without overstating certainty.
conclusion, probability, likelihood

Question 20

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
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