Question : Directions: In the following question below are given some statements followed by 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 H is G.
II. Some G is I.
Conclusions:
I. No I is H.
II. All I is G.
Option 1: Only conclusion II follows
Option 2: Both conclusions I and II follow
Option 3: Only conclusion I follows
Option 4: Neither conclusion follows
Correct Answer: Neither conclusion follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
No I is H –
From the Venn diagram, it is evident that there is no direct relation between I and H. So, no definite relation can be drawn. Thus, this conclusion does not follow.
Conclusion (II):
All I is G –
From the Venn diagram, it is evident that the circles representing I and G overlap and have some parts of their area in common. So, from this, it can be concluded that some I is G. Thus, this conclusion does not follow.
So, neither conclusion I nor conclusion II follows. Hence, the fourth option is correct.
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