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 short.
Some shorts are good.
Conclusions:
I. Some songs are good.
II. Some shorts are songs.
Option 1: Both conclusions I and II follow
Option 2: Only conclusion II follows
Option 3: Neither conclusion I nor II follows
Option 4: Only conclusion I follows
Correct Answer: Only conclusion II follows
Solution : The possible Venn diagram for the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
Some songs are good – From the Venn diagram, it is evident that there is no direct relation between songs and good. So, no definite relation can be drawn. Thus, this conclusion does not follow.
Conclusion (II):
Some shorts are songs – From the Venn diagram, it is evident that the circles representing songs and short overlap and have a part of their area in common. So, from this, it can be concluded that some shorts are songs. Thus, this conclusion follows.
So, only the conclusion II follows. Hence, the second option is correct.
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