Statements:Some blades are hammers. Some hammers are knives. Some knives are axes.Conclusions:i. Some axes are hammers.II. Some knives are blades.III. Some axes are blades.Which of the following is/are most appropriate in the above scenario?
Correct answer: A. I, ll and III inappropriate
- A. I, ll and III inappropriate
- B. Only I
- C. Only II
- D. Only III
Explanation
Let's check each conclusion:I. Some axes are hammers. This does not follow.We know "some hammers are knives" and "some knives are axes," but there's no direct or certain link between hammers and axes."Some hammers are knives" and "some knives are axes" doesn't guarantee overlap between hammers and axes.II. Some knives are blades. This does not follow.We have "some blades are hammers" and "some hammers are knives," but no direct connection between blades and knives.No strong relationship can be concluded between blades and knives.III. Some axes are blades. This does not follow.Similarly, there's no direct connection between blades and axes.Blades link to hammers, hammers to knives, and knives to axes - but "some" relationships don't allow chaining like that in syllogisms unless it's "all."Final Answer: None of the conclusions follow.
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Logical problems present several conditions about people, objects, events or choices and require their possible arrangements to be tested. They cover constraint-based reasoning, rankings, matching, grouping, scheduling and elimination, with attention to the difference between a complete solution and a possibility that merely satisfies one condition.
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