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:
I. All chains are circles.
II. No chain is square.
Conclusions:
I. Some circles are square.
II. Some circles are chains.
Option 1: Neither conclusion I nor II follows
Option 2: Only conclusion II follows
Option 3: Both conclusions I and II follow
Option 4: Only conclusion I follows
Correct Answer: Only conclusion II follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
Some circles are square – It is a possibility that the circles representing circles and squares overlap. But this is not definite. So, this conclusion does not follow.
Conclusion (II):
Some circles are chains – From the Venn diagram, it is evident that some parts of the circle representing circles lie inside the circle representing chains while some lie outside. So, this conclusion follows.
So, the only conclusion II follows. Hence, the second option is correct.
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