Statements: All trains are fast. No bus is train. Conclusions: I. No bus is fast. II. Some fast are not buses
Correct answer: A. Only II
- A. Only II
- B. Both
- C. Only I
- D. None
Explanation
The correct answer is Option A. Conclusion II follows because if all trains are fast and no bus is a train, then some fast entities (the trains) are not buses. Conclusion I does not follow because the statements do not provide information about all fast entities, only those that are trains. The presence of other fast entities that could be buses cannot be ruled out based on the information provided. Therefore, conclusion I cannot be definitively established.
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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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