Question:

Four statements are given, followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
1. Some sheds are caves.
2. All sheds are nests.
3. Only a few nests are stables.
4. Some sheds are dens.
Conclusions:
I. Some caves are nests.
II. No shed is stable.

Show Hint

"Only a few A are B" means "Some A are B" AND "Some A are not B". It does not restrict subsets of A (like C, where All C are A) from being B, nor does it force them to be B.
Updated On: Feb 14, 2026
  • Only conclusion I follows
  • Neither conclusion I nor II follows
  • Either conclusion I or II follows
  • Only conclusion II follows
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The Correct Option is A

Solution and Explanation

Step 1: Understanding the Question:
This is a syllogism problem. We need to evaluate the conclusions based on the logical relationships defined in the statements.
Step 2: Detailed Explanation:
Let's analyze the connections:
Statements:

"Some sheds are caves": Intersection between Sheds and Caves.
"All sheds are nests": The entire circle of Sheds is inside Nests.
"Only a few nests are stables": Some Nests are Stables, and some Nests are NOT Stables.
"Some sheds are dens": Intersection between Sheds and Dens.
Evaluating Conclusion I: "Some caves are nests."

We know "Some sheds are caves". This means there is a common part between Sheds and Caves.
We also know "All sheds are nests". This means the entire group of Sheds sits inside Nests.
Therefore, the part of Sheds that overlaps with Caves must also be inside Nests.
Thus, "Some caves are nests" is definitely true.
Evaluating Conclusion II: "No shed is stable."

We know "All sheds are nests" and "Only a few nests are stables".
The statement "Only a few nests are stables" implies an overlap between Nests and Stables, but it does not specify \textit{where} that overlap occurs relative to the Sheds.
It is possible that the "Sheds" circle (inside Nests) is completely separate from the "Stables" circle.
However, it is also possible that the "Sheds" circle overlaps with the "Stables" circle. The statements do not forbid an overlap between Sheds and Stables.
Since a negative conclusion ("No shed is stable") requires proof that they \textit{cannot} intersect, and here they \textit{might} intersect, this conclusion does not logically follow.
Step 3: Final Answer:
Only Conclusion I follows.
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