Question : Directions: In the following question, two statements are given, followed by two conclusions, I and II. You have to consider the two statements to be true, even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow from the given statements.
Statements:
No book is a notebook.
All diaries are books.
Conclusions:
I. No notebook is a diary.
II. All diaries are notebooks.
Option 1: Only Conclusion I follows
Option 2: Only Conclusion II follows
Option 3: Both Conclusions I and II follow
Option 4: Neither Conclusion I nor Conclusion II follows
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Correct Answer: Only Conclusion I follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
No notebook is a diary – According to the Venn diagram, all diaries are books and no book is a notebook. So, from this, it can be concluded that no notebook is a diary. Therefore, this conclusion follows.
Conclusion (II):
All diaries are notebooks – According to the Venn diagram, all diaries are books and no book is a notebook. So, from this, it can be concluded that no notebook is a diary. Therefore, this conclusion does not follow.
Therefore, the only conclusion I follows. Hence, the first option is correct.
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