In this question, three 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 conclusion(s) logically follow(s) from the statements.
Statements:
All bells are trees.
Some trees are leaves.
All leaves are flowers.
Conclusions:
I. All bells are leaves.
II. Some flowers are trees.
- ABoth conclusions I and II follow
- BOnly conclusion I follows.
- CNeither conclusion I nor II follows.
- DOnly conclusion II follows.
Solution & Step-by-step Explanation
Let's analyze the conclusions using Venn diagrams or logical deductions:
Conclusion I: "All bells are leaves."
From the statements, we know that "All bells are trees" and "Some trees are leaves". There is no direct or definite connection established between bells and leaves. Therefore, this conclusion does not definitely follow.
Conclusion II: "Some flowers are trees."
We know that "Some trees are leaves" and "All leaves are flowers". Since the entire set of leaves is inside flowers, the overlapping part between trees and leaves will definitely overlap with flowers. Thus, "Some flowers are trees" is a definite conclusion and logically follows.
Hence, only conclusion II follows.
Conclusion I: "All bells are leaves."
From the statements, we know that "All bells are trees" and "Some trees are leaves". There is no direct or definite connection established between bells and leaves. Therefore, this conclusion does not definitely follow.
Conclusion II: "Some flowers are trees."
We know that "Some trees are leaves" and "All leaves are flowers". Since the entire set of leaves is inside flowers, the overlapping part between trees and leaves will definitely overlap with flowers. Thus, "Some flowers are trees" is a definite conclusion and logically follows.
Hence, only conclusion II follows.