Statements:
All cats are dogs. Some cats are tigers. No tiger is a lion.
Conclusions:
(I) Some dogs are tigers.
(II) No cat is a lion.
Analyzing the Statements
We are given the following statements:
- Statement 1: All cats are dogs.
- Statement 2: Some cats are tigers.
- Statement 3: No tiger is a lion.
We need to determine if the conclusions logically follow from these statements.
Evaluating Conclusion (I): Some dogs are tigers
Reasoning:
- From Statement 2, we know that there is an overlap between the group 'cats' and the group 'tigers'. This means at least one cat is a tiger.
- From Statement 1, all cats belong to the group 'dogs'.
- Since the cats mentioned in Statement 2 are also dogs (due to Statement 1), it logically follows that these specific cats, which are tigers, are also dogs.
- Therefore, there exists a group of individuals who are both dogs and tigers.
Result: Conclusion (I) logically follows.
Evaluating Conclusion (II): No cat is a lion
Reasoning:
- Statement 3 states that the groups 'tigers' and 'lions' are mutually exclusive (no overlap).
- Statement 2 states only 'some' cats are tigers. This implies that there might be cats that are *not* tigers.
- The statements do not provide any information linking the group 'cats' (specifically those that are not tigers) to the group 'lions'. It is possible, based on the given information, for a cat that is not a tiger to potentially be a lion.
- Therefore, we cannot definitively conclude that 'No cat is a lion'.
Result: Conclusion (II) does not logically follow.
Final Conclusion
Based on the logical analysis, only Conclusion (I) necessarily follows from the given statements.
Important Questions from Syllogism (Notes)
Which conclusion would follow the given statements.
Statement:
Some Apples are Banana.
Some bananas are Grapes.
No Grape is Book.
Conclusion:
(I) Some Apples are Book is a possibility.
(II) All Bananas are Book.
In light of the above statements, choose the most appropriate answer from the options given below.- Disregard commonly known facts. Which conclusion would follow on the basis of given statements only.
Statement: Some bottles are car. some cars are cycle.
Conclusion:
(I) Some bottles are cycle is a possibility
(II) All bottles are cycle
In light of the above statements, choose the most appropriate answer from the options given below. - Statements :
All books are cakes.
All cakes are apples.
Conclusions:
I. Some cakes are books
II. No cake is books
III. Some apple are books
IV. All apples are books
Choose the correct option: - All household pets are domestic animals. NO unicorns are domestic animals. Therefore some Unicorns are not household pets. Which type of formal fallacy committed in the above argument ?
- Statements:
Some bags are purses. All purses are containers all containers are suitcases.
Conclusions :
I. Some suitcases are bags
II. All purses are bags
III. All Purses are suitcases
(IV) Some containers are purses
