Question : Directions: Three Statements are given followed by three conclusions numbered I, II, and III. 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:
Some clowns are artists.
All artists are smart.
All smarts are rich.
Conclusions:
I. All artists are rich.
II. Some clowns are smart.
III. All clowns are artists.
Option 1: All conclusions follow
Option 2: Both conclusions II and III follow
Option 3: Both conclusions I and II follow
Option 4: Both conclusions I and III follow
Correct Answer: Both conclusions I and II follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
All artists are rich – From the Venn diagram, it is evident that the circle representing artists lies inside the circle representing the rich. So, it can be concluded that all artists are rich.
Conclusion (II):
Some clowns are smart –
From the Venn diagram, it is evident that the two circles representing clowns and smart overlap and have a part of their area in common. So, it can be concluded that s
ome clowns are smart.
Conclusion (III):
All clowns are artists – From the Venn diagram, it is evident
that the two circles representing clowns and artists overlap and have a part of their area in common
. So, this conclusion does not follow.
So, both conclusions I and II follow. Hence, the third option is correct.
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