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:
I. Some S are P
II. No P is L
Conclusion:
I. All S are P
II. All L are S
Option 1: Both conclusions I and II follows
Option 2: Neither conclusion follows
Option 3: Only conclusion I follows
Option 4: Only conclusion II follows
Correct Answer: Neither conclusion follows
Solution : According to the given statements, the Venn diagram is –
Let us analyse the conclusions –
Conclusion I:
All S are P – From the Venn diagram, it is evident that the circles representing S and P overlap and have a part of their area in common. So, it can be concluded that some S are P but all S are not P.
Conclusion II:
. All L are S – It is a possibility that the circle representing L is completely overlapped by the circle representing S. But this is not definite. So, this conclusion does not follow.
So, neither conclusion follows. Hence, the second option is correct.
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