Question

Given below are two statements and four conclusions drawn based on the statements.
Statement 1: Some soaps are clean.
Statement 2: All clean objects are wet.
Conclusion I: Some clean objects are soaps.
Conclusion II: No clean object is a soap.
Conclusion III: Some wet objects are soaps.
Conclusion IV: All wet objects are soaps.
Which one of the following options can be logically inferred?

• A. Only conclusion I is correct
• B. Either conclusion I or conclusion II is correct
• C. Either conclusion III or conclusion IV is correct
• D. Only conclusion I and conclusion III are correct

Hint:

When inferring conclusions from given statements, ensure that you focus on the logical relationship between the premises and conclusions while avoiding assumptions not explicitly supported by the statements.

Answer 1

The Correct Option is D

We are given two statements and four conclusions, and we need to determine which conclusion logically follows. Step 1: Analyzing Statement 1.
Statement 1 says that "some soaps are clean." This means that there is a possibility that some soaps belong to the category of clean objects. However, this does not make all soaps clean.
Step 2: Analyzing Statement 2.
Statement 2 says that "all clean objects are wet." This indicates that every clean object is also wet, but it does not imply that every wet object is clean.
Step 3: Checking the Conclusions.
- Conclusion I: "Some clean objects are soaps." This is a reasonable conclusion because Statement 1 suggests that some soaps are clean. Hence, Conclusion I is valid.
- Conclusion II: "No clean object is a soap." This contradicts Statement 1, so Conclusion II is not correct.
- Conclusion III: "Some wet objects are soaps." Based on the given statements, we cannot confirm this directly, but it’s possible because some soaps could be wet. Therefore, Conclusion III is a potential inference.
- Conclusion IV: "All wet objects are soaps." This is incorrect because Statement 2 only tells us that all clean objects are wet, not that all wet objects are soaps.

Step 4: Conclusion.
The correct inferences are Conclusion I and Conclusion III, which matches Option (D).