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 songs are snow.
Some snow is shoes.
Conclusions:
I. Some shoes are snow.
II. Some snow is songs.
Option 1: Only conclusion I follows
Option 2: Neither conclusion I nor II follows
Option 3: Only conclusion II follows
Option 4: Both conclusions I and II 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):
Some shoes are snow –
From the Venn diagram, it is evident that the circles representing shoes and snow overlap and have some parts of their area in common. So, it can be concluded that some shoes are snow. Thus, this conclusion follows.
Conclusion (II):
Some snow is songs –
From the Venn diagram, it is evident that the circles representing snow and songs overlap and have some parts of their area in common. So, it can be concluded that some snow is songs.
So, both conclusions I and II follow. Hence, the fourth option is correct.
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