Read the given statements and conclusions carefully.
Assuming that the given information in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follows from the statements.
Statements:
(A) All birds are trees.
(B) Some trees are hens.
Conclusions:
I. Some birds are hens.
II. Some hens are trees.
Read the given statements and conclusions carefully.
Assuming that the given information in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follows from the statements.
Statements:
(A) All birds are trees.
(B) Some trees are hens.
Conclusions:
I. Some birds are hens.
II. Some hens are trees.
Solution
Given statements:
(A) All birds are trees.
(B) Some trees are hens.
Need to determine which conclusions logically follow.
Analyzing Statement A: All birds are trees
This means the entire set of birds is contained within the set of trees. Every bird is necessarily a tree.
Analyzing Statement B: Some trees are hens
This means there exists an overlap between trees and hens. At least some members belong to both sets.
Evaluating Conclusion I: Some birds are hens
From the statements:
- All birds are within the tree set
- Some trees are within the hen set
However, this does not guarantee that the trees which are hens are the same trees that are birds. The birds could occupy a portion of the tree set that does not overlap with hens.
Conclusion I does NOT necessarily follow.
Evaluating Conclusion II: Some hens are trees
Statement B directly states: "Some trees are hens"
This is logically equivalent to "Some hens are trees" - they express the same relationship between the two sets. If some trees belong to the hen category, then those same hens must belong to the tree category.
Conclusion II DOES follow.
Only conclusion II follows from the given statements.
Therefore, the answer is Option 3.
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