Question : Directions: Three 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 books are pens.
Some books are copies.
All copies are pencils.
Conclusions:
I. Some pencils are pens.
II. Some pencils are books.
Option 1: Both conclusions I and II follow
Option 2: Only conclusion I follows
Option 3: Only conclusion II follows
Option 4: Neither conclusion I nor II 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 pencils are pens –
From the Venn diagram, it is evident that there is no definite relation between pencils and pens. Thus, this conclusion does not follow.
Conclusion (II):
Some pencils are books –
From the Venn diagram, it is evident that the circles representing pencils and books overlap and have some parts of their area in common. Thus, it can be concluded that some pencils are books.
So, the only conclusion II follows. Hence, the third option is correct.
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