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:
No toy is beautiful.
Some beautiful are actresses.
All actresses are rich.
Conclusions:
I. No toy is rich.
II. Some actresses are beautiful.
III. Some actresses are rich.
Option 1: Only conclusions II and III follow
Option 2: Only conclusions I and III follow
Option 3: All the conclusions follow
Option 4: Only conclusions I and II follow
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Correct Answer: Only conclusions II and III follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
No toy is rich – From the Venn diagram, it is evident that there is no direct relation between toy and rich. So, no definite relation can be drawn. Thus, this conclusion does not follow.
Conclusion (II):
Some actresses are beautiful – From the Venn diagram, it is evident that the circles representing actresses and beautiful overlap and have some parts of their area in common. So, it can be concluded that some actresses are beautiful. Thus, this conclusion follows.
Conclusion (III):
Some actresses are rich – From the Venn diagram, it is evident that all actresses are rich. Since all actresses are rich then some actresses will definitely be rich. Thus, this conclusion follows.
So, only conclusions II and III follow. Hence, the first option is correct.
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