Moderate

Statements: Some fruits are red. All apples are fruits. Conclusions: I. Some apples are red. II. All red are apples. III. Some fruits are apples

Correct answer: A. Only III

  • A. Only III
  • B. Only I
  • C. none
  • D. I and III

Explanation

To evaluate the conclusions, consider the given statements: 'Some fruits are red' and 'All apples are fruits.' Conclusion III, 'Some fruits are apples,' follows directly since all apples are a subset of fruits. Conclusion I, 'Some apples are red,' cannot be confirmed because the statements do not specify that the apples overlap with the red fruits. Conclusion II, 'All red are apples,' is incorrect because there is no information to suggest that all red items are apples. Therefore, only Conclusion III is valid, making Option A the correct choice.

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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.

Practise Logical Deductions

200 free Logical Deductions MCQs from Analytical and Logical Reasoning, each with the correct answer and an explanation. Unlimited attempts, no account needed.

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