Question : Directions: There are two statements followed by two conclusions I and II. Assuming the statements are true, decide which one of the conclusions logically follows, disregarding commonly known facts.
Statements:
All poets are intelligent.
All singers are intelligent.
Conclusions:
I. All singers are poets.
II. Some intelligent persons are not singers.
Option 1: Only conclusion I follows
Option 2: Only conclusion II follows
Option 3: Either conclusion I or II follows
Option 4: Neither conclusion I nor II follows
Correct Answer: Neither conclusion I nor II follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusion –
Conclusion (I):
All singers are poets – From the Venn diagram, there is no direct relation between poets and singers. So, no definite relation can be drawn. Therefore, this conclusion does not follow.
Conclusion (II):
Some intelligent persons are not singers – According to the given Venn diagram all singers are intelligent and there is no negative relation between intelligent and singers, therefore this conclusion does not follow.
So, neither conclusion I nor conclusion II follows. Hence, the fourth option is correct.
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