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

Show Answer

Correct Answer :

Option A

If only conclusion I follows

Solution :

Step-by-step Explanation:

Let us analyze the given statements and check the validity of the conclusions one by one.

Statements Analysis:
1. "Only a few Tube is Well": This means "Some Tube is Well" AND "Some Tube is not Well".
2. "All Well is Pipe": The entire set of Well is inside the set of Pipe.
3. "Some Well is not Tank": There is at least some part of Well that cannot overlap with Tank.

Conclusion I: "All Tube being Tank is a possibility"
Let us check if we can place the entire set of Tube inside Tank without violating any statement:
- Placing all Tube inside Tank does not affect the relation "Only a few Tube is Well" (some Tube is Well, some Tube is not Well).
- It does not violate "All Well is Pipe".
- It does not violate "Some Well is not Tank", because we can still have a portion of Well (outside of the Tube-Well intersection, or even within it, as long as some Well is kept outside Tank) that is not Tank.
Since there is no restriction preventing all Tube from being inside Tank, this possibility is true. Therefore, Conclusion I follows.

Conclusion II: "All Pipe being Tank is a possibility"
Let us check if we can place the entire set of Pipe inside Tank:
- We are given that "All Well is Pipe". If we make "All Pipe being Tank" true, then all Pipe will be inside Tank, which also forces all Well (which is inside Pipe) to be inside Tank.
- However, the third statement clearly states: "Some Well is not Tank". This means it is impossible for all Well to be inside Tank.
- Since all Pipe being inside Tank forces all Well to be inside Tank, this directly contradicts the statement "Some Well is not Tank".
Therefore, all Pipe being Tank is NOT a possibility. Conclusion II does not follow.

Conclusion:
Only conclusion I follows.