Statements: All students are intelligent. Some intelligent are scholars. Conclusions: I. Some students are scholars. II. All scholars are intelligent. III. Some scholars are students
Correct answer: D. None
- A. Only I
- B. Only II
- C. I and III
- D. None
Explanation
To evaluate the conclusions, consider the logical implications of the statements. 'All students are intelligent' means every student is part of the intelligent group, but it does not connect students to scholars. 'Some intelligent are scholars' indicates some overlap between intelligent individuals and scholars but provides no information about students being scholars.Conclusion I ('Some students are scholars') cannot be inferred due to the absence of a direct connection between students and scholars. Conclusion II ('All scholars are intelligent') is unsupported because 'some intelligent are scholars' does not mean all scholars are intelligent. Conclusion III ('Some scholars are students') is also invalid since there is no established link between students and scholars in the statements. Thus, the correct answer is 'None', as none of the conclusions can be logically derived from the provided 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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