Question : Directions: Two 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 conclusions logically follow(s) from the statements.
Statements:
All flowers are trees.
All leaves are flowers.
Conclusions:
I. All trees are flowers.
II. All leaves are trees.
Option 1: Only Conclusion I follows
Option 2: Neither Conclusion I nor II follows
Option 3: Only Conclusion II follows
Option 4: Both Conclusions I and II follow
Correct Answer: Only Conclusion II follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyze the conclusions –
Conclusion I:
All trees are flowers –
From the Venn diagram, it is evident that some parts of the circle representing trees lie inside the circle representing leaves while some lie outside. Thus, this conclusion doesn't follow.
Conclusion II:
All leaves are trees –
From the Venn diagram, it is evident that the circle representing leaves is completely overlapped by the circle representing trees. Thus, it can be concluded that a
ll leaves are trees.
So, the only conclusion II follows. Hence, the third option is correct.
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