Question Details

In each question below, some statements are given followed by two conclusions numbered I and II. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusion logically follows from the given statements, disregarding commonly known facts. Giveanswer-

Statements:
Only a few Tube is Well.
All Well is Pipe.
Some Well is not Tank.
Conclusions:
I. All Tube being Tank is a possibility.
II. All Pipe being Tank is a possibility.

Options

If only conclusion I follows

If only conclusion II follows

If either conclusion I or II follows

If neither conclusion I nor II follows

If both conclusions I and II follow

Show Answer

Correct Answer :

Option A

If only conclusion I follows

Solution :

Step-by-step Explanation:

Let us analyze the given statements using Venn diagrams and logical deduction:

1. Analyze the Statements:
- "Only a few Tube is Well": This means "Some Tube is Well" AND "Some Tube is not Well". Therefore, there is a part of Tube that must intersect with Well, and another part of Tube that can never be part of Well.
- "All Well is Pipe": The entire set of Well is inside the set of Pipe.
- "Some Well is not Tank": There is at least a portion of Well that cannot overlap with Tank. Since all Well is Pipe, this also implies that some Pipe (the part that is Well) is not Tank.

2. Analyze Conclusion I: "All Tube being Tank is a possibility"
- We are given that some Well is not Tank. However, there is no direct negative restriction between Tube and Tank.
- The only constraint on Tube is that it intersects with Well ("Only a few Tube is Well"), and some Tube is not Well. This does not prevent the entire set of Tube from being inside Tank, because even if Tube is entirely inside Tank, we can still have some Well outside Tank (which satisfies "Some Well is not Tank").
- Therefore, there is no contradiction in placing all of Tube inside Tank. Conclusion I is a possibility, so it follows.

3. Analyze Conclusion II: "All Pipe being Tank is a possibility"
- We are given that "All Well is Pipe" and "Some Well is not Tank".
- Since all Well is part of Pipe, and a portion of Well can never be Tank, that same portion of Well (which is inside Pipe) can never be Tank.
- Thus, at least some part of Pipe (specifically, the portion of Well that is not Tank) can never be Tank. Therefore, it is impossible for all Pipe to be Tank.
- Conclusion II does not follow.

Conclusion:
Only conclusion I follows.