Two statements are given, followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
* All tablets are medicines.
* Some medicines are ointments.
Conclusions:
* I. Some tablets are ointments.
* II. All ointments are medicines.
- ANeither conclusion I nor II follows
- BBoth conclusions I and II follow
- COnly conclusion I follows
- DOnly conclusion II follows
Solution & Step-by-step Explanation
Let's evaluate the conclusions using a Venn diagram approach:
1. "All tablets are medicines" means the circle of 'Tablets' is entirely inside the circle of 'Medicines'.
2. "Some medicines are ointments" means the circle of 'Ointments' overlaps with 'Medicines'. However, it is not specified whether this overlap includes 'Tablets' or not.
Evaluating Conclusions:
* Conclusion I: "Some tablets are ointments" is a possibility but not a definite certainty, as the 'Ointments' circle might intersect 'Medicines' without touching 'Tablets'. Hence, it does not follow logically.
Conclusion II: "All ointments are medicines" is incorrect because the statement only confirms that some* medicines are ointments. We cannot definitively state that all ointments are medicines. Hence, it does not follow.
Therefore, neither conclusion I nor II follows.
1. "All tablets are medicines" means the circle of 'Tablets' is entirely inside the circle of 'Medicines'.
2. "Some medicines are ointments" means the circle of 'Ointments' overlaps with 'Medicines'. However, it is not specified whether this overlap includes 'Tablets' or not.
Evaluating Conclusions:
* Conclusion I: "Some tablets are ointments" is a possibility but not a definite certainty, as the 'Ointments' circle might intersect 'Medicines' without touching 'Tablets'. Hence, it does not follow logically.
Conclusion II: "All ointments are medicines" is incorrect because the statement only confirms that some* medicines are ointments. We cannot definitively state that all ointments are medicines. Hence, it does not follow.
Therefore, neither conclusion I nor II follows.