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