Statements: No apple is banana. Some bananas are mangoes. Conclusions: I. Some apples are mangoes. II. No apple is mango. III. All mangoes are bananas.
Correct answer: A. None follow
- A. None follow
- B. Only III
- C. Only II
- D. Only I
Explanation
The correct answer is 'None follow'. Let's analyze each conclusion: Conclusion I: 'Some apples are mangoes.' This cannot be concluded as there is no direct or indirect relationship established between apples and mangoes based on the given statements. Conclusion II: 'No apple is mango.' This conclusion cannot be drawn because the statements do not provide any information about the relationship between apples and mangoes. Conclusion III: 'All mangoes are bananas.' This conclusion is incorrect because the statement 'Some bananas are mangoes' does not imply that all mangoes are bananas. Therefore, none of the conclusions logically follow from the given statements.
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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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