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

Given the statement "All Mangoes are Apples," this means that the set of Mangoes is a subset of the set of Apples. Now, let's analyze each conclusion: - Conclusion 1: "Some Apples are Mangoes" - This conclusion is true because, as per the statement, all Mangoes are Apples, so it's possible that some Apples are Mangoes. - Conclusion 2: "All Apples are Mangoes" - This conclusion is false because the statement only says that all Mangoes are Apples, not that all Apples are Mangoes. - Conclusion 3: "Some Mangoes are Apples" - This conclusion is true because all Mangoes are part of the set of Apples, so it follows that some Mangoes are Apples. - Conclusion 4: "Some Apples are not Mangoes" - This conclusion is not supported by the given statement, as it does not say that there are Apples that are not Mangoes. Hence, only Conclusions 1 and 3 are true. Therefore, the correct answer is (C).