Level up your statement-conclusion skills with this comprehensive review. 20 intermediate-level problems await in Worksheet 14 of 30. Focus area: indefinite conclusions. Learn possible conclusions, conclusion validity, logical entailment through systematic practice. Designed for mid-level learners seeking moderate complexity with mixed patterns.
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Worksheet 14 of 30 (46% complete)
Question 1
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.
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.
Question 3
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.
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.
Question 5
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 STRONGEST (most/least strongly supported by the premises)?
The strongest conclusion is: 'Some investors lost money today' because Directly follows: bond prices dropped 5%, so bond investors lost value.
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: 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
Question 7
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 8
Premises: Some doctors are researchers. No researchers are lazy. All lazy people are unhappy.
Statement: Some unhappy people are not doctors
Based only on the premises, is this statement:
Must be true — Lazy people are unhappy, but they aren't researchers; they could be doctors or not
Question 9
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 10
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.
Question 11
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.
Question 12
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.
Question 13
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 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.
Question 15
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.
Question 16
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 17
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 18
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 19
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 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.
🎓 Level up your skills with Worksheet 14. Focus: indefinite conclusions