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. All pens are sketches.
II. All sketches are books.
III. Some books are colours.
Conclusions:
I. Some books are pens.
II. Some colours are sketches.
- AOnly conclusion I follows
- BOnly conclusion II follows
- CNeither conclusion I nor II follows
- DBoth conclusions I and II follow
Solution & Step-by-step Explanation
Let's evaluate the conclusions based on the statements:
From statements I and II: "All pens are sketches" and "All sketches are books" implies that all pens are books. If all pens are books, then "Some books are pens" is definitely true. Thus, Conclusion I follows.
From statement III: "Some books are colours". This means there is an intersection between books and colours. However, this intersection does not necessarily have to overlap with sketches. Therefore, "Some colours are sketches" is possible but not definitely true. Thus, Conclusion II does not follow.
Hence, only conclusion I follows.
From statements I and II: "All pens are sketches" and "All sketches are books" implies that all pens are books. If all pens are books, then "Some books are pens" is definitely true. Thus, Conclusion I follows.
From statement III: "Some books are colours". This means there is an intersection between books and colours. However, this intersection does not necessarily have to overlap with sketches. Therefore, "Some colours are sketches" is possible but not definitely true. Thus, Conclusion II does not follow.
Hence, only conclusion I follows.