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 H.
II. No B is A.
Conclusions:
I. Some A is not B.
II. No B is H.
Option 1: Only conclusion II follows
Option 2: Both conclusions I and II follow
Option 3: Neither conclusion follows
Option 4: Only conclusion I 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):
Some A is not B
– From the Venn diagram, it is evident that there is a negative relation between A and B. Since no A is B, so some A will definitely not be B. Therefore, this conclusion follows.
Conclusion (II):
No B is H
– From the Venn diagram, there is no definite relation between B and H. Therefore, this conclusion does not follow.
So, the only conclusion I follow. Hence, the fourth option is correct.
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