Question : Directions: Two statements are given, followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
All kids are small.
Some funny are kids.
Conclusions:
I) Some funny are small.
II) Some small are kids.
Option 1: Only Conclusion I follows
Option 2: Both Conclusions I and II follow
Option 3: Only Conclusion II follows
Option 4: Neither Conclusion I nor II follows
Correct Answer: Both Conclusions I and II follow
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyze the conclusions –
Conclusion (I):
Some funny are small – From the Venn diagram, it is evident that the circles representing funny and small overlap and have some parts of their area in common. Thus, it can be concluded that some funny are small.
Conclusion (II):
Some small are kids –
From the Venn diagram, it is evident that some parts of the circle representing small lie inside the circle representing kids while some lie outside. Thus, it can be concluded that some
small are kids.
So, both conclusions I and II follow. Hence, the second option is correct.
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