Statements: All schools are institutions. Some institutions are buildings. Conclusions: I. Some buildings are schools. II. Some schools are buildings. III. Some institutions are schools.
Correct answer: D. Only III
- A. None
- B. Only I
- C. I and II
- D. Only III
Explanation
The statements provided establish that 'All schools are institutions' and 'Some institutions are buildings.' Conclusion III, 'Some institutions are schools,' is valid because it directly follows from the statement that all schools are within the set of institutions. Conclusion I, 'Some buildings are schools,' and Conclusion II, 'Some schools are buildings,' cannot be confirmed because the overlap between institutions and buildings does not necessarily involve schools. Therefore, only Conclusion III 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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