Two statements are given, followed by two conclusions, I and II. You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements.
Statement I: Some perfumes are incenses
Statement II: All perfumes are oils
Conclusion I: Some incenses are oils
Conclusion II: No oils are incenses
- AOnly conclusion I follows
- BOnly conclusion II follows
- CBoth conclusions I and II follow
- DNeither conclusion I nor conclusion II follows
Solution & Step-by-step Explanation
Let's analyze the statements using basic intersections or sets:
Statement I: "Some perfumes are incenses" → There is a common overlap region between the Perfumes circle and the Incenses circle.
Statement II: "All perfumes are oils" → The entire Perfumes circle is enclosed inside the larger Oils circle.
Since the entire set of Perfumes lies inside Oils, the portion of Perfumes that overlaps with Incenses must also be part of Oils. Therefore, some part of Oils will definitely overlap with Incenses.
Conclusion I: "Some incenses are oils" → This is definitely true based on the common overlap.
Conclusion II: "No oils are incenses" → This contradicts Conclusion I and is false.
Hence, only conclusion I follows.
Statement I: "Some perfumes are incenses" → There is a common overlap region between the Perfumes circle and the Incenses circle.
Statement II: "All perfumes are oils" → The entire Perfumes circle is enclosed inside the larger Oils circle.
Since the entire set of Perfumes lies inside Oils, the portion of Perfumes that overlaps with Incenses must also be part of Oils. Therefore, some part of Oils will definitely overlap with Incenses.
Conclusion I: "Some incenses are oils" → This is definitely true based on the common overlap.
Conclusion II: "No oils are incenses" → This contradicts Conclusion I and is false.
Hence, only conclusion I follows.