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. Some men are weak.
II. No weak is strong.
Conclusions:
I. Some weak are men.
II. All strong are men.
III. Some strong are weak.
Option 1: Only conclusion II follows
Option 2: Both conclusions I and III follow
Option 3: Only conclusion I follows
Option 4: All conclusions follow
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 weak are men –
From the Venn diagram, it is evident that the circles representing weak and men overlap and have some parts of their area in common. So, it can be concluded that some weak are men. Thus, this conclusion follows.
Conclusion (II):
All strong are men –
From the Venn diagram, it is evident that there is no direct relation between strong and men. So, no definite relation can be drawn. Thus, this conclusion does not follow.
Conclusion (III):
Some strong are weak –
From the Venn diagram, it is evident that there is a negative relation between strong and weak. Thus, this conclusion does not follow.
So, the only conclusion I follows. Hence, the third option is correct.
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