Three statements are given followed by three conclusions numbered I, II and…
2024
Three statements are given followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements
Statements:
Some tears are drops.
Some drops are streams.
All streams are rivers.
Conclusions:
I. All tears can never be rivers.
II. Some drops are rivers.
III. All tears being streams is a possibility.
- A.
Both I and II conclusion follow
- B.
Only conclusion I follows
- C.
Only conclusion III follows
- D.
Both II and III conclusion follow
Attempted by 3 students.
Show answer & explanation
Correct answer: D
Statement Analysis
Some tears are drops. (Intersection between Tears and Drops)
Some drops are streams. (Intersection between Drops and Streams)
All streams are rivers. (Streams set is entirely inside Rivers)
Evaluating Conclusions
Conclusion I: All tears can never be rivers. This is not necessarily true. While we don't have a direct link between tears and rivers, there is no information in the premises that forces all tears to stay outside the river category. Therefore, this does not logically follow.
Conclusion II: Some drops are rivers. We know "some drops are streams" and "all streams are rivers." Because the intersection of drops and streams is entirely inside the river category, those specific drops must also be rivers. This conclusion logically follows.
Conclusion III: All tears being streams is a possibility. There is no information that contradicts the possibility of all tears being contained within the stream category (as long as it doesn't violate the "Some tears are drops" premise). Since it is not impossible, this possibility follows.