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Q1. All prime factors of 12 are prime. Some prime numbers are even. What can be definitively concluded?
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Q2. Statements: Some cars are vehicles. No vehicle is a bicycle. All bicycles are two-wheeled.
Conclusions: I. Some cars are not bicycles. II. Some two-wheeled things are not vehicles.
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Q3. What can be concluded from the syllogism 'All humans are mortal; Peter is a human'?
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Q4. In a syllogism, if the major premise is 'All birds can fly' and the minor premise is 'Eagles are birds', what can be concluded?
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Q5. The distribution of terms in the statement 'All S are P' is:
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Q6. Premise 1: All critical thinkers analyze information. Premise 2: Some individuals who analyze information are prone to bias. What can be validly concluded?
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Q7. Which of the following syllogistic moods is generally considered valid?
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Q8. Premise 1: All successful people are disciplined. Premise 2: Some disciplined people are not ambitious. Conclusion: Therefore, some successful people are not ambitious. The fallacy in this syllogism is:
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Q9. Which strategy focuses on identifying a term that is distributed in the conclusion but not in the premises?
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Q10. If 'Some passengers missed the flight' is false, then the complementary proposition is:
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Q11. The Medieval period saw the formalization of mnemonic devices and rules for identifying valid syllogistic figures and moods. Which of these is NOT a recognized Aristotelian syllogistic figure?
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Q12. What is the logical equivalence of ¬(P ∨ Q)?
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Q13. If one proposition in a complementary pair is true, then the other proposition must be ________.
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Q14. If a syllogism has premises 'Some S are P' and 'No M are P', what is the valid conclusion, if any?
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Q15. Which of the following is a fundamental form of deductive reasoning often used in AI?
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Q16. Which of the following statements is true regarding the validity of syllogisms?
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Q17. In a syllogism, the conclusion follows from the:
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Q18. Consider the disjunctive syllogism: 'Either A is true or B is true.' and 'A is not true.' What is the valid conclusion?
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Q19. Which pair of propositions are complementary?
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Q20. The propositions 'All good decisions are risky' and 'Some good decisions are not risky' are related as: