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 conclusions logically follow the given statements.
Statements:
I. Some boys are strong.
II. No strong is weak.
Conclusions:
I. All strong are boys.
II. All weak are boys.
III. All weak are strong.
Option 1: None of the conclusions follows
Option 2: All conclusions follow
Option 3: Both conclusions I and III follow
Option 4: Both conclusions II and III follow
Correct Answer: None of the conclusions follows
Solution : The possible Venn diagram according to the given statement is as follows –
Let's analyse the conclusions –
Conclusion I:
All strong are boys – From the Venn diagram, it is evident that the circles representing strong and boys overlap and have some parts of their area in common. So, from this, it can be concluded that some strong are boys. Thus, this conclusion does not follow.
Conclusion II:
All weak are boys – From the Venn diagram, it is evident that there is no direct relation between weak and boys. So, no definite relation can be drawn. Thus, this conclusion does not follow.
Conclusion III:
All weak are strong – From the Venn diagram, it is evident that there is a negative relation between weak and strong. Thus, this conclusion does not follow.
So, none of the conclusions follows. Hence, the first option is correct.
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