Read the given statements and conclusions. Take the given statements to be true even if they seem to be at variance from commonly known facts. Decide which conclusion(s) logically follow from the statements given below:
Statements: Some papers are curtains. No radio is a curtain. All jugs are papers.
Conclusion I: All jugs are curtains.
Conclusion II: Some papers are jugs.
Conclusion III: No radio is a jug.
Read the given statements and conclusions. Take the given statements to be true even if they seem to be at variance from commonly known facts. Decide which conclusion(s) logically follow from the statements given below:
Statements: Some papers are curtains. No radio is a curtain. All jugs are papers.
Conclusion I: All jugs are curtains.
Conclusion II: Some papers are jugs.
Conclusion III: No radio is a jug.
Solution
Let's analyze each conclusion based on the given statements.
Given Statements:
- Some papers are curtains
- No radio is a curtain
- All jugs are papers
Testing Conclusion I: All jugs are curtains
From the statements, we know all jugs are papers. However, only some papers are curtains, not all papers. This means jugs could be in the part of papers that are curtains OR in the part that are not curtains. We cannot conclude that all jugs must be curtains.
Conclusion I does NOT follow.
Testing Conclusion II: Some papers are jugs
The statement says "All jugs are papers." This means every jug is a paper. If jugs exist, then at least some papers must be jugs (since the entire set of jugs is contained within papers).
Conclusion II FOLLOWS.
Testing Conclusion III: No radio is a jug
We know:
- No radio is a curtain
- All jugs are papers
- Some papers are curtains
Just because no radio is a curtain doesn't tell us anything about the relationship between radios and jugs. Radios could potentially be papers (and therefore jugs), or they could be completely separate. We don't have enough information to conclude that no radio is a jug.
Conclusion III does NOT follow.
Only Conclusion II logically follows from the statements.
Answer: Option 4