The statements below are followed by two conclusions labeled I and II. Assuming that the information in the statements is true, even if it appears at variance with generally established facts, decide which conclusion (s logically and definitely follow(s from the information given in the statements. Statements: 1) All hens are lions. 2) All lions are cats. Conclusion: I. All cats are hens. II. Some cats are hens.
The statements below are followed by two conclusions labeled I and II. Assuming that the information in the statements is true, even if it appears at variance with generally established facts, decide which conclusion (s logically and definitely follow(s from the information given in the statements. Statements: 1) All hens are lions. 2) All lions are cats. Conclusion: I. All cats are hens. II. Some cats are hens. Correct Answer Only conclusion II follows.
The least possible venn diagram is:
I. All cats are hens. → False
It is possible but not definite. As there is no condition in given statements that prevents all cats to be hens. Also, there is no condition in given statements that ensures that all cats are hens. Hence, "All cats are hens" and "All cats are not hens" both cases are possible.
Possibility of "All cats are hens" where all given statements are satisfied:
When a conclusion case is only a possibility but not definite, we consider such conclusions as False.
Hence, "All cats are hens" is a false conclusion.
II. Some cats are hens. → True
As 'All hens are lions' and 'All lions are cats'. So, some cats are definitely hens.
Hence, only conclusion II follows.