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. All A is T.
II. No T is N.
Conclusions:
I. Some N is T.
II. All N is A.
III. Some T is A.
Option 1: Only conclusion I follows
Option 2: Only conclusion III follows
Option 3: Only conclusion II follows
Option 4: All conclusions follow
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Correct Answer: Only conclusion III follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
Some N is T – From the Venn diagram, it is evident that there is a negative relation between N and T. So, from this, it can be concluded that no N is T. Thus, this conclusion does not follow.
Conclusion (II):
All N is A – From the Venn diagram, it is evident that all A is T and no T is N. So, from this, it can be concluded that no A is N. Thus, this conclusion does not follow.
Conclusion (III):
Some T is A – From the Venn diagram, it is evident that some parts of the circle representing T lie outside the circle representing A while some lie inside. So, it can be concluded that some T is A. Thus, this conclusion follows.
So, the only conclusion III follows. Hence, the second option is correct.
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