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:
All diaries are books.
Some bags are diaries.
Conclusions:
I. All bags are books.
II. Some books are bags.
Option 1: Only conclusion II follows
Option 2: Neither conclusion I nor II follow
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 for the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
All bags are books - From the above diagram, it is clear that all bags can never be books as there is no relation given between bags and books. Some diaries which are bags are also books. Therefore, some bags are books is true but all bags are books is not correct. Thus, this conclusion doesn't follow.
Conclusion (II):
Some books are bags - From the above diagram it is clear that some bags are diaries and all diaries are books. So, bags which are diaries are also bags. Therefore, some books are bags is true.
So, the only conclusion II follows. Hence, the first option is correct.
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