In the following question, two statements are given each followed by two conclusions I and II. You have to consider the statement to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements.
Statements:
(I) All birds are trees.
(II) Some trees are hens.
Conclusion:
(I) Some birds are hens.
(II) Some hens are trees.
- AConclusion I follows
- BConclusion II follows
- CNeither I nor II follows
- DBoth I and II follows
Solution & Step-by-step Explanation
Let's analyze the statements using Venn logic representation:
Statement I: All birds are trees. This means the circle of 'Birds' is entirely contained inside the circle of 'Trees'.
Statement II: Some trees are hens. This means the circle of 'Trees' and 'Hens' overlap with each other.
Now evaluating the conclusions:
Conclusion I: "Some birds are hens." Since the overlap of 'Trees' with 'Hens' does not necessarily require intersecting the inner 'Birds' circle, this conclusion is not definite. It does not follow.
Conclusion II: "Some hens are trees." Since Statement II explicitly declares "Some trees are hens", its converse "Some hens are trees" is definitively true. It follows.
Thus, only conclusion II follows.
Statement I: All birds are trees. This means the circle of 'Birds' is entirely contained inside the circle of 'Trees'.
Statement II: Some trees are hens. This means the circle of 'Trees' and 'Hens' overlap with each other.
Now evaluating the conclusions:
Conclusion I: "Some birds are hens." Since the overlap of 'Trees' with 'Hens' does not necessarily require intersecting the inner 'Birds' circle, this conclusion is not definite. It does not follow.
Conclusion II: "Some hens are trees." Since Statement II explicitly declares "Some trees are hens", its converse "Some hens are trees" is definitively true. It follows.
Thus, only conclusion II follows.