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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


Team Careers360 15th Jan, 2024
Answer (1)
Team Careers360 24th Jan, 2024

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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