In this question, 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 follows/follow from the statements.
Statements:
I. Some digits are alphabets.
II. All alphabets are books.
III. Some books are novels.
Conclusions:
I. All novels are digits.
II. Some digits are books.
- ANeither conclusion I nor II follows
- BOnly conclusion I follows
- COnly conclusion II follows
- DBoth conclusions I and II follow
Solution & Step-by-step Explanation
Let's analyze the statements using Venn diagrams or logical deductions:
From Statements I and II: "Some digits are alphabets" and "All alphabets are books". This implies that the portion of digits that are alphabets must also be books. Therefore, "Some digits are books" is definitely true. Thus, Conclusion II logically follows.
From Statement III: "Some books are novels". There is no direct or definitive connection given between novels and digits. Therefore, we cannot definitively conclude that "All novels are digits". Thus, Conclusion I does not follow.
Hence, only conclusion II follows.
From Statements I and II: "Some digits are alphabets" and "All alphabets are books". This implies that the portion of digits that are alphabets must also be books. Therefore, "Some digits are books" is definitely true. Thus, Conclusion II logically follows.
From Statement III: "Some books are novels". There is no direct or definitive connection given between novels and digits. Therefore, we cannot definitively conclude that "All novels are digits". Thus, Conclusion I does not follow.
Hence, only conclusion II follows.