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 Bangles are Bracelets.
All Chains are Rings.
Some Bracelets are Chains.
Conclusions:
(I) Some Bangles are Rings.
(II) Some Chains are Bangles.
(III) Some Rings are Bracelets.
Option 1: Only Conclusion III follows
Option 2: Both Conclusions I and II follow
Option 3: Both Conclusions I and III follow
Option 4: Only Conclusion I follows
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Correct Answer: Only Conclusion III follows
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
Some Bangles are Rings – From the Venn diagram, it is evident that there is no direct relation between bangles and rings. So, no definite relation can be drawn. Thus, this conclusion does not follow.
Conclusion (II):
Some Chains are Bangles – From the Venn diagram, it is evident that there is no direct relation between chains and bangles. So, no definite relation can be drawn. Thus, this conclusion does not follow.
Conclusion (III):
Some Rings are Bracelets – From the Venn diagram, it is evident that the two circles representing rings and bracelets overlap and have a part of their area in common. So, from this, it can be concluded that some rings are bracelets. Thus, this conclusion follows.
So, the only conclusion III follows. Hence, the first option is correct.
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