Statements:
Only a few cylinder are fuel
Some fuel are gas
All gas are pipes
Conclusions:
I. Some fuel is pipes
II. All cylinder being fuel is possibility
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 conclusions logically follows from the given statements, disregarding commonly known facts. Give answer-
Correct Answer :
If only conclusion I follows
Solution :
Correct Option / Answer:
The correct answer is If only conclusion I follows.
Step-by-step Explanation:
Let us analyze the given statements and check the validity of each conclusion step-by-step using logical set relations (syllogism principles).
1. Analysis of Statements:
• Statement 1: "Only a few cylinder are fuel"
This statement means that some cylinders are fuel AND some cylinders are NOT fuel. Thus, a full overlap where "All cylinders are fuel" is not possible.
• Statement 2: "Some fuel are gas"
This indicates an intersection/partial overlap between the set of Fuel and the set of Gas.
• Statement 3: "All gas are pipes"
This means the entire set of Gas is completely contained inside the set of Pipes (Gas ⊆ Pipes).
2. Evaluating Conclusion I:
Conclusion I: Some fuel is pipes
From Statement 2, we know that some portion of Fuel is Gas. From Statement 3, every element of Gas is inside Pipes. Therefore, the portion of Fuel that is Gas MUST also be inside Pipes. Hence, there is definitely an overlap between Fuel and Pipes.
Thus, Conclusion I logically follows.
3. Evaluating Conclusion II:
Conclusion II: All cylinder being fuel is possibility
From Statement 1, "Only a few cylinder are fuel" explicitly implies that there are some cylinders that can NEVER be fuel. Because of this restriction, the possibility of "All cylinders being fuel" is false / impossible.
Thus, Conclusion II does not follow.
Conclusion:
Since only Conclusion I logically follows from the given statements, the correct choice is If only conclusion I follows.
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