Statements: Some watches are digital. All digital are gadgets. Conclusions: I. Some watches are gadgets. II. All watches are digital.
Correct answer: C. Only I
- A. None
- B. Only II
- C. Only I
- D. Both
Explanation
To determine the validity of the conclusions, we analyze the given statements:Statements: Some watches are digital. All digital are gadgets.- Conclusion I: 'Some watches are gadgets' is correct. If some watches are digital and all digital are gadgets, then it logically follows that some watches are also gadgets.- Conclusion II: 'All watches are digital' is incorrect. The statement 'Some watches are digital' does not imply that every watch falls into the digital category. Therefore, this conclusion is not supported by the given statements.Thus, the correct answer is Only I.
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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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