Question : Directions: In the following question, two statements are given followed by two conclusions I and II. You have to consider the two statements 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, follow from the given statements.
Statements:
All crows are birds.
All peacocks are crows.
Conclusions:
I. All peacocks are birds.
II. All birds are peacocks.
Option 1: Both I and II follow
Option 2: Neither I nor II follows
Option 3: Only I follows
Option 4: Only II follows
Correct Answer: Only I follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
All peacocks are birds – From the Venn diagram, it is evident that the circle representing peacocks completely lies inside the circle representing birds. So, from this, it can be concluded that all peacocks are birds. Therefore, this conclusion follows.
Conclusion (II):
All birds are peacocks –
From the Venn diagram, it is evident that some parts of the circle representing birds lie outside the circle representing peacocks while some lie inside. So, from this, it can be concluded that some birds are peacocks. Therefore, this conclusion does not follow.
So, the only conclusion I follows. Hence, the third option is correct.
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