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 conclusions logically follow the given statements.
Statements:
I. No N is A.
II. All A are T.
Conclusions:
I. Some T is A.
II. Some N is T.
III. No A is N.
Option 1: Both conclusions I and II follow
Option 2: All conclusion follows
Option 3: Both conclusions I and III follow
Option 4: Both conclusions II and III follow
Correct Answer: Both conclusions I and III follow
Solution : The possible Venn diagram according to the given statement is as follows –
Let's analyse the conclusions –
Conclusion I:
Some T is A – From the Venn diagram, it is evident that some parts of the circle representing T lie inside the circle representing A while some lie outside. Thus, it can be concluded that some T are A.
Conclusion II:
Some N is T – It is a possibility that the circles representing N and T overlap. But this is not definite. Thus, this conclusion does not follow.
Conclusion III:
No A is N – From the Venn diagram, it is evident that there is a negative relation between A and N. Thus, it can be concluded that no A is N.
So, both conclusions I and III follow. Hence, the third option is correct.
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