Directions: In each question below are given two/three statements foll...
Given Statements:
- Some katrina are deepika.
- Some priyanka are sonam.
- All sonam are deepika.
Conclusions:
I. All katrina being sonam is a possibility.
II. Some deepika are not priyanka is a possibility
Analysis:
To determine the logical conclusions that can be drawn from the given statements, we need to carefully analyze the relationships between the different elements mentioned.
From the given statements, we can infer the following relationships:
- Some katrina are deepika: This means that there is at least one element that is common to both the categories of katrina and deepika.
- Some priyanka are sonam: This means that there is at least one element that is common to both the categories of priyanka and sonam.
- All sonam are deepika: This means that all elements in the category of sonam are also a part of the category of deepika.
Conclusion I: All katrina being sonam is a possibility.
To determine the possibility of all katrina being sonam, we need to consider the relationships between the three categories mentioned.
From the given statements, there is no direct relationship mentioned between katrina and sonam. We only know that there is at least one element that is common to both katrina and deepika, and another element that is common to both priyanka and sonam. Therefore, we cannot conclude that all katrina being sonam is a possibility. Hence, Conclusion I does not follow.
Conclusion II: Some deepika are not priyanka is a possibility.
To determine the possibility of some deepika not being priyanka, we need to consider the relationships between the three categories mentioned.
From the given statements, there is no direct relationship mentioned between deepika and priyanka. We only know that there is at least one element that is common to both katrina and deepika, and another element that is common to both priyanka and sonam. Therefore, it is possible that some deepika are not priyanka, as they belong to different categories. Hence, Conclusion II follows.
Conclusion:
From the given statements, it can be concluded that:
- Conclusion I does not follow.
- Conclusion II follows.
Therefore, the correct answer is option 'E': If both conclusions I and II follow.