Question : Directions: In the following question, two statements are given followed by three conclusions I, II, and III. You have to consider the two statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow from the given statements Statements: I. All men are hardworking. II. No advocate is hardworking. III. Some beautiful are men. Conclusions: I. Some beautiful are hardworking. II. Some advocates are not beautiful. III. Some beautiful are not advocates.
Option 1: Only conclusion III follows
Option 2: Only conclusion I and III follow
Option 3: Only conclusions II and III follow
Option 4: Only conclusions I and II follow
Correct Answer: Only conclusion I and III follow
Solution : The possible Venn diagram for the given statement according to the question –
Let's analyse the conclusions – Conclusion (I): Some beautiful are hardworking – From the Venn diagram, we can see that the circles representing beautiful and hardworking intersect each other and have some areas in common. So, some beautiful are hardworking is a true conclusion. Conclusion (II): Some advocates are not beautiful – From the Venn diagram, there is no definite relation between the circle of advocates and beautiful. So, this conclusion does not follow. Conclusion (III): Some beautiful are not advocates – From the Venn diagram the no advocates are hardworking and the circle of hardworking intersects the circle of beautiful. Therefore the part of the beautiful which is beautiful is definitely not advocates. So, this conclusion follows.
So, only conclusions I and III follow. Hence, the second option is correct.
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