Statements: No car is bike. Some bikes are fast. Conclusions: I. Some fast things are not cars. II. Some fast things are bikes.
Correct answer: B. Both
- A. Only II
- B. Both
- C. Only I
- D. None
Explanation
The correct answer is 'Both.' Conclusion I is valid because if some bikes are fast and no car is a bike, then the fast bikes cannot be cars, meaning some fast things are not cars. Conclusion II is valid because it directly states that some fast things are bikes, supported by the statement 'Some bikes are fast.' Option A is incorrect because it disregards Conclusion I, which logically follows. Option C is incorrect because it disregards Conclusion II, which is directly supported by the statement. Option D is incorrect because both 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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