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 hens are cocks.
No cock is black.
Conclusions:
I. All cocks are hens.
II. No hen is black.
Option 1: Only conclusion I is valid
Option 2: Only conclusion II is valid
Option 3: Both the conclusions are valid
Option 4: Both the conclusions are invalid
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Correct Answer: Only conclusion II is valid
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
All cocks are hens – According to the Venn diagram, the circle of hens is completely inside the circle of cocks, therefore some cocks are hens is true but all cocks are hens is incorrect.
Conclusion (II):
No hen is black – According to the Venn diagram, no cocks are black and the circle of the hen is completely inside the circle of cocks, therefore, no hen is black is the correct conclusion.
So, the only conclusion II is the valid conclusion. Hence, the second option is correct.
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