Question : Directions: In the following question below are given some statements followed by some conclusions. Taking the given statements to be true even if they seem at variance from commonly known facts, read all conclusions and then decide which of the given conclusions logically follows from the given statements.
Statements:
Some men are hardworking.
No blue is an advocate.
Some blue are men.
Conclusions:
I. Some blue are hardworking.
II. Some men are advocates.
III. Some blue are not hardworking.
IV. Some men are not advocates.
Option 1: Only conclusion IV follows
Option 2: Only conclusions II and IV follow
Option 3: Only conclusions I, II, and IV follow
Option 4: Only conclusion III follows
Correct Answer: Only conclusion IV follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion I:
Some blue are hardworking – From the Venn diagram, it is evident that there is no direct relation between blue and hardworking. So, this conclusion does not follow.
Conclusion II:
Some men are advocates – From the Venn diagram, it is evident that there is no direct relation between men and advocates. So, this conclusion does not follow.
Conclusion III:
Some blue are not hardworking – From the Venn diagram, it is evident that there is no direct relation between blue and hardworking. So, this conclusion does not follow.
Conclusion IV:
Some men are not advocates – From the Venn diagram, it is evident that some men are blue and no blue is an advocate. So, it can be concluded that some men who are blue are not advocates.
So, the only conclusion IV follows. Hence, the first option is correct.
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