Question : Directions: In the following question below are given some statements followed by some conclusions based on those statements. Taking the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows the given statements.
Statements:
All N is K.
All K is P.
Conclusions:
I. Some P is not K.
II. No P is N.
Option 1: Only conclusion II follows
Option 2: Both conclusions I and II follow
Option 3: Only conclusion I follows
Option 4: Neither conclusion follows
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Correct Answer: Neither conclusion follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
Some P is not K –
It is a possibility that the circle representing P is completely overlapped by the circle that represents K. But, this is not definite. So, this conclusion does not follow.
Conclusion (II):
No P is N – From the Venn diagram, it is evident that some parts of the circle representing P lie outside the circle representing N while some lie inside. So, this conclusion does not follow.
So, neither conclusion follows. Hence, the fourth option is correct.
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