Question : Directions: Three statements are given followed by four conclusions I, II, III, and IV. You have to consider these statements to be true, even if they seem at variance from commonly known facts. Decide which of the given conclusions logically follow/s from the given statement.
Statements:
I. All parrots are crows.
II. All crows are robins.
III. All robins are swan.
Conclusions:
I. All parrots are swans.
II. All swans are crows.
III. All robins are parrots.
IV. All crows are swans.
Option 1: Only conclusions II and III follow
Option 2: Only conclusions I and IV follow
Option 3: All the conclusions follow
Option 4: Only conclusions I and II follow
Correct Answer: Only conclusions I and IV follow
Solution : The possible venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
All parrots are swans – From the given Venn diagram, the circle of parrots is completely inside the circle of swans. Therefore, this conclusion is true.
Conclusion (II):
All swans are crows – From the given Venn diagram, the circle of crows is completely inside the circle of swans. So, this means all crows are swans or some swans are crows. Therefore, this conclusion is false.
Conclusion (III):
All robins are parrots – From the given Venn diagram, the circle of parrots is completely inside the circle of robbins. This means all parrots are robins or some robins are parrots. Therefore, this conclusion is false.
Conclusion (IV):
All crows are swans – From the given Venn diagram, the circle of crows is completely inside the circle of swans. Therefore, this conclusion is true.
So, only conclusions I and IV follow. Hence, the second option is correct.
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