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:
Some kings are rich.
Some rich are proud.
Conclusions:
I. Some kings are not proud.
II. Some rich are not proud.
Option 1: Only conclusion II follows
Option 2: Neither conclusion I nor II follows
Option 3: Both conclusions I and II follow
Option 4: Only conclusion I follows
Correct Answer: Neither conclusion I nor II follows
Solution : The possible Venn diagram according to the given statement is as follows –
Let's analyse the conclusions –
Conclusion I:
Some kings are not proud – From the Venn diagram, it is evident that there is no definite relation between kings and proud. Thus, this conclusion does not follow.
Conclusion II:
Some rich are not proud – It is a possibility that some parts of the circle representing rich are not overlapped by the circle representing proud. But this is not definite. Thus, this conclusion does not follow.
So, neither conclusion I nor II follows. Hence, the second option is correct.
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