Statements: Some animals are tigers. No tiger is lazy. Conclusions: I. No animal is lazy. II. Some animals are not lazy
Correct answer: A. Only II
- A. Only II
- B. Only I
- C. Both
- D. None
Explanation
To determine the validity of the conclusions, consider each statement logically. The first statement, 'Some animals are tigers,' means there is an overlap between animals and tigers. The second statement, 'No tiger is lazy,' means there is no overlap between tigers and lazy beings. Conclusion I, 'No animal is lazy,' cannot be drawn because animals outside the subset of tigers can still be lazy. However, Conclusion II, 'Some animals are not lazy,' follows because the subset of animals that are tigers cannot be lazy. Therefore, only Conclusion II is correct.
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About Logical Deductions
Logical deductions require conclusions to be drawn from stated facts, conditions and relationships without adding outside information. The work includes handling all, some and none statements, necessary and sufficient conditions, ordering restrictions, true or false conclusions, and the difference between what must be true and what could be true.
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