Question

In the following question below are given some statements followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statements? Statements:
1. All apples are oranges
2. Some oranges are papayas
Conclusions:
I. Some apples are papayas
II. Some papayas are oranges

• A. Only conclusion I follows
• B. Only conclusion II follows
• C. Neither conclusion I nor II follows
• D. Both conclusions follow

Hint:

Visualize sets using Venn diagrams to check overlaps.
A subset does not automatically overlap with another subset unless stated.

Answer 1

The Correct Option is B

Step 1: Analyze statements
- Statement 1 says all apples are oranges, so the set of apples is completely inside the set of oranges.
- Statement 2 says some oranges are papayas, meaning some members of the orange set overlap with papayas.
Step 2: Analyze conclusions
- Conclusion I: Some apples are papayas
This conclusion does not necessarily follow. Even though apples are inside oranges, it is not guaranteed that apples overlap with papayas. The "some oranges are papayas" might not include apples.
- Conclusion II: Some papayas are oranges
This conclusion logically follows because statement 2 explicitly says some oranges are papayas. The overlap exists.
Therefore, only conclusion II logically follows.