Question

Statement: All Mangoes are Apples.
Conclusions: 1. Some Apples are Mangoes.
2. All Apples are Mangoes.
3. Some Mangoes are Apples.
4. Some Apples are not Mangoes.

• A.
• B.
• C.
• D.

Hint:

In logical reasoning, carefully analyze the relationship between the given statement and conclusions. Ensure that conclusions directly follow from the provided statement without assuming extra information.

Answer 1

The Correct Option is C

Based on the premise "All Mangoes are Apples," it is established that the set of Mangoes is a subset of the set of Apples. An examination of each conclusion follows:- Conclusion 1: "Some Apples are Mangoes" - This is true. If all Mangoes are Apples, then it logically follows that at least some Apples are Mangoes.- Conclusion 2: "All Apples are Mangoes" - This is false. The premise only establishes that Mangoes are a subset of Apples, not the other way around.- Conclusion 3: "Some Mangoes are Apples" - This is true. By definition of the premise, if all Mangoes are Apples, then it's a given that some (in fact, all) Mangoes are Apples.- Conclusion 4: "Some Apples are not Mangoes" - This is not necessarily true. The premise does not provide information about Apples that might fall outside the set of Mangoes. This statement cannot be confirmed.Therefore, only Conclusions 1 and 3 are valid. The correct option is (C).