Question : Directions: Three statements are given, followed by four conclusions numbered I, II, III, and IV. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
Some trees are leaves.
Some leaves are flowers.
Some flowers are branches.
Conclusions:
I. Some trees are flowers.
II. Some leaves are branches.
III. Some branches are flowers.
IV. Some branches are leaves.
Option 1: Only conclusions II and III follow
Option 2: Only conclusions I and II follow
Option 3: Only conclusion III follows
Option 4: None of the conclusions follow
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Correct Answer: Only conclusion III follows
Solution : The possible Venn diagram according to the given statements –
Let's analyse the conclusions –
Conclusion I:
Some trees are flowers – From the above Venn diagram, it is evident that there is no direct relation between trees and flowers. So, no definite relation can be drawn between them. Therefore, this conclusion does not follow.
Conclusion II:
Some leaves are branches – From the above Venn diagram, it is evident that there is no direct relation between leaves and branches. So, no definite relation can be drawn between them. Therefore, this conclusion does not follow.
Conclusion III:
Some branches are flowers – From the above Venn diagram, it is evident that the circles representing branches and flowers overlap each other and have a part of their areas in common. So, this conclusion follows.
Conclusion IV:
Some branches are leaves – From the above Venn diagram, it is evident that there is no direct relation between leaves and branches. So, no definite relation can be drawn between them. Therefore, this conclusion does not follow.
So, only conclusion III follows. Hence, the third option is correct.
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