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 G.
II. Some M is G.
Conclusion:
I. Some G is A.
II. Some G is M.
III. All M is A.
Option 1: Both conclusions I and III follow
Option 2: Both conclusions I and II follow
Option 3: Only conclusion II follows
Option 4: All conclusions follow
Correct Answer: Both conclusions I and II follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
Some G is A – From the Venn diagram, it is evident that some parts of the circle representing G lie inside the circle representing A while some lie outside. So, from this, it can be concluded that some G is A. Thus, this conclusion follows.
Conclusion (II):
Some G is M – From the Venn diagram, it is evident that the circles representing G and M overlap and have a part of their area in common. So, from this, it can be concluded that some G is M. Thus, this conclusion follows.
Conclusion (III):
All M is A – From the Venn diagram, it is evident that there is no direct relation between A and M. So, no definite relation can be drawn. Thus, this conclusion does not follow.
So, the conclusions I and II follow. Hence, the second option is correct.
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