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 G are N.
II. No A is N.
Conclusion:
I. Some G are A.
II. Some N are G.
III. All A are G.
Option 1: Both conclusions II and III follow
Option 2: All conclusion follows
Option 3: Only conclusion I follows
Option 4: Only conclusion II follows
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Correct Answer: Only conclusion II follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
Some G are A – From the Venn diagram, it is evident that the circle representing G lies inside the circle representing N and no N is A, it can be concluded that no G is A. So, this conclusion doesn't follow.
Conclusion (II):
Some N are G – From the Venn diagram, it is evident that the circle representing G lies inside the circle representing N, so it is clear that some N is G. So, this conclusion follows.
Conclusion (III):
All A is G – According to the given statement, all G are N and no N is A, G is a part of N. So, no G are A. Therefore, this conclusion does not follow.
So, the only conclusion II follows. Hence, the fourth option is correct.
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