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Directions to Solve
In each of the following questions there are three statements. Which are followed by three or four conclusions. Choose the conclusions which logically follow from the given statements.
Question - Statements: Some rats are cats. Some cats are dogs. No dog is cow.
Conclusions:
- No cow is cat.
- No dog is rat.
- Some cats are rats.
- a)Only (1)
- b)Only (1) and (2)
- c)Only (1) and (3)
- d)Only (2) and (3)
- e)Only (3)
Correct answer is option 'E'. Can you explain this answer?
Most Upvoted Answer
Directions to Solve ...
Logical Reasoning: Statement and Conclusion
Given statements:
- Some rats are cats.
- Some cats are dogs.
- No dog is cow.
Conclusions:
- No cow is cat.
- No dog is rat.
- Some cats are rats.
To determine which conclusions logically follow from the given statements, we need to analyze the relationships between the elements mentioned in the statements.
Conclusion 1: No cow is cat
This conclusion logically follows from the given statements, as there is no overlap between the sets of dogs and cows, and some cats are dogs, which means that they cannot be cows. Hence, it can be concluded that no cow is a cat.
Conclusion 2: No dog is rat
This conclusion also logically follows from the given statements, as some rats are cats, and no dog is a cow, which means that there is no overlap between the sets of dogs and rats. Hence, it can be concluded that no dog is a rat.
Conclusion 3: Some cats are rats
This conclusion does not follow logically from the given statements, as there is no direct or indirect relationship between cats and rats mentioned in the statements. While some cats are dogs, this does not imply that any cats are rats. Hence, this conclusion cannot be logically inferred from the given statements.
Therefore, the correct answer is option (E) Only (3).
Given statements:
- Some rats are cats.
- Some cats are dogs.
- No dog is cow.
Conclusions:
- No cow is cat.
- No dog is rat.
- Some cats are rats.
To determine which conclusions logically follow from the given statements, we need to analyze the relationships between the elements mentioned in the statements.
Conclusion 1: No cow is cat
This conclusion logically follows from the given statements, as there is no overlap between the sets of dogs and cows, and some cats are dogs, which means that they cannot be cows. Hence, it can be concluded that no cow is a cat.
Conclusion 2: No dog is rat
This conclusion also logically follows from the given statements, as some rats are cats, and no dog is a cow, which means that there is no overlap between the sets of dogs and rats. Hence, it can be concluded that no dog is a rat.
Conclusion 3: Some cats are rats
This conclusion does not follow logically from the given statements, as there is no direct or indirect relationship between cats and rats mentioned in the statements. While some cats are dogs, this does not imply that any cats are rats. Hence, this conclusion cannot be logically inferred from the given statements.
Therefore, the correct answer is option (E) Only (3).
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