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Directions to Solve
In each of the following questions two statements are given. Which are followed by four conclusions (1), (2), (3) and (4). Choose the conclusions which logically follow from the given statements.
Question - Statements: No door is dog. All the dogs are cats.
Conclusions:
- No door is cat.
- No cat is door.
- Some cats are dogs.
- All the cats are dogs.
- a)Only (2) and (4)
- b)Only (1) and (3)
- c)Only (3) and (4)
- d)Only (3)
- e)All the four
Correct answer is option 'D'. Can you explain this answer?
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Directions to Solve ...
Statements:
- No door is dog.
- All the dogs are cats.
Conclusions:
1. No door is cat.
2. No cat is door.
3. Some cats are dogs.
4. All the cats are dogs.
Explanation:
To determine which conclusions logically follow from the given statements, we need to analyze the statements and conclusions.
Statement 1: No door is dog.
This statement implies that there is no overlap between the set of doors and the set of dogs. In other words, there are no doors that are dogs.
Statement 2: All the dogs are cats.
This statement implies that every dog is also a cat. In other words, the set of dogs is completely contained within the set of cats.
Now, let's evaluate each conclusion:
Conclusion 1: No door is cat.
This conclusion cannot be logically inferred from the given statements. While it is true that there are no doors that are dogs, it is not necessarily true that there are no doors that are cats. There could be doors that are neither dogs nor cats.
Conclusion 2: No cat is door.
This conclusion can be logically inferred from the given statements. Since there are no doors that are dogs and all dogs are cats, it follows that there are no cats that are doors.
Conclusion 3: Some cats are dogs.
This conclusion can be logically inferred from the given statements. Since all dogs are cats, it is evident that there must be some cats that are dogs.
Conclusion 4: All the cats are dogs.
This conclusion cannot be logically inferred from the given statements. While all the dogs are cats, it does not necessarily mean that all the cats are dogs. There could be cats that are not dogs.
Therefore, the conclusions that logically follow from the given statements are:
- Conclusion 2: No cat is door.
- Conclusion 3: Some cats are dogs.
Hence, the correct answer is option D) Only (3).
- No door is dog.
- All the dogs are cats.
Conclusions:
1. No door is cat.
2. No cat is door.
3. Some cats are dogs.
4. All the cats are dogs.
Explanation:
To determine which conclusions logically follow from the given statements, we need to analyze the statements and conclusions.
Statement 1: No door is dog.
This statement implies that there is no overlap between the set of doors and the set of dogs. In other words, there are no doors that are dogs.
Statement 2: All the dogs are cats.
This statement implies that every dog is also a cat. In other words, the set of dogs is completely contained within the set of cats.
Now, let's evaluate each conclusion:
Conclusion 1: No door is cat.
This conclusion cannot be logically inferred from the given statements. While it is true that there are no doors that are dogs, it is not necessarily true that there are no doors that are cats. There could be doors that are neither dogs nor cats.
Conclusion 2: No cat is door.
This conclusion can be logically inferred from the given statements. Since there are no doors that are dogs and all dogs are cats, it follows that there are no cats that are doors.
Conclusion 3: Some cats are dogs.
This conclusion can be logically inferred from the given statements. Since all dogs are cats, it is evident that there must be some cats that are dogs.
Conclusion 4: All the cats are dogs.
This conclusion cannot be logically inferred from the given statements. While all the dogs are cats, it does not necessarily mean that all the cats are dogs. There could be cats that are not dogs.
Therefore, the conclusions that logically follow from the given statements are:
- Conclusion 2: No cat is door.
- Conclusion 3: Some cats are dogs.
Hence, the correct answer is option D) Only (3).
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Question Description
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