Strategic fast track practice for statement-conclusion: 20 beginner-intermediate-level problems. Worksheet 9 of 30 - Focus: logical entailment. Develop expertise in deductive reasoning, conclusion drawing, inference making with step-by-step solutions. Ideal for developing learners targeting building on fundamentals with moderate challenges.
Develop analytical thinking for conclusion drawing problems
Learn step-by-step fast track practice approaches
Understand the logic behind inference making solutions
Apply critical thinking to logical entailment challenges
Your progress through Statement-Conclusion
Worksheet 9 of 30 (30% complete)
Question 1
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.
Question 2
Premises: All managers are leaders. Some leaders are innovative. No innovative person is conservative.
Which conclusion can be drawn with certainty?
Following the logical chain from the premises, 'Some managers are not conservative' is the only conclusion that can be drawn with certainty.
Question 3
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.
Question 4
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.
Question 5
Statement: Some doctors are researchers. All researchers publish papers.
Which conclusion logically follows?
Based on the given statements, 'Some doctors publish papers' is the only conclusion that logically follows without making additional assumptions.
Question 6
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.
Question 7
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.
Question 8
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.
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.
Question 10
Premises: All managers are leaders. Some leaders are innovative. No innovative person is conservative.
Which conclusion can be drawn with certainty?
Following the logical chain from the premises, 'Some managers are not conservative' is the only conclusion that can be drawn with certainty.
Question 11
Statement: Most people who exercise regularly live longer. Most people who eat healthy food live longer. Tom exercises regularly and eats healthy food.
What is the most reasonable conclusion?
Given the probabilistic nature of the statement, 'Tom will likely live longer than average' is the most reasonable conclusion without overstating certainty.
Question 12
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.
Question 13
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.
Question 14
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.
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)
Question 16
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.
Question 17
Statement: If the interest rates rise, then housing prices will fall. If housing prices fall, then construction activity will decrease. Interest rates are expected to rise next month.
What can be concluded?
Following the chain of conditional logic (if-then statements), 'Construction activity will decrease next month' is the logical conclusion.
Question 18
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.
Question 19
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.
Question 20
Statement: Some doctors are researchers. All researchers publish papers.
Which conclusion logically follows?
Based on the given statements, 'Some doctors publish papers' is the only conclusion that logically follows without making additional assumptions.
🎯 Milestone unlocked! 27% of Statement-Conclusion mastered. The finish line approaches!