Statements:No leopard is a cheetah.Some cheetahs are tigers.All tigers...
No leopard is a cheetah. Some cheetahs are tigers. All tigers are lions.
Let's evaluate the given statements and conclusions:
Statements:
1. No leopard is a cheetah: This statement implies that there is no overlap between the categories of leopards and cheetahs. In other words, there are no leopards that can be classified as cheetahs.
2. Some cheetahs are tigers: This statement suggests that there is a subset of cheetahs that can also be classified as tigers. It does not imply that all cheetahs are tigers, but it indicates that there is an overlap between these two categories.
3. All tigers are lions: This statement states that every tiger can be classified as a lion. It implies that there is no distinction between tigers and lions, and all tigers can be considered as lions.
Conclusions:
I. Some leopards are not tigers: This conclusion can be derived from the first statement, which states that there is no overlap between leopards and cheetahs. Since there are no leopards that are cheetahs and some cheetahs are tigers, it can be inferred that there are leopards that are not tigers.
II. All leopards are tigers: This conclusion cannot be logically derived from the given statements. The first statement clearly states that there is no overlap between leopards and cheetahs, and there is no information provided about the relationship between leopards and tigers. Therefore, it is not possible to conclude that all leopards are tigers.
Based on the above analysis:
- Conclusion I follows as it can be logically derived from the given statements.
- Conclusion II does not follow as there is no information provided to support this conclusion.
Therefore, the correct answer is option 'C' - if either conclusion I or II follows.