Three statements are given, followed by three conclusions numbered I, II and III. 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 pages are diaries.
Some diaries are books.
All books are notebooks.
Conclusions:
I. No page is a notebook.
II. All pages are notebooks.
III. All diaries being notebooks is a possibility.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. Only conclusion III follows.
The least possible Venn diagram is as follows:
Conclusions:
I. No page is a notebook. - Does not follow (Because there is no direct relation between page and notebook. So it can be possible)
II. All pages are notebooks. - Does not follow (Because there is no direct relation between page and notebook. So it can be possible)
III. All diaries being notebooks is a possibility. - Follows (Because Some diaries are books and All books are notebooks. So, All diaries being notebooks it is possible)