In this question, three conclusions have been given after three statements. Considering the statement as truth, consider both the findings together and decide that based on the information given in the statement, which of these conclusions is logically logical beyond any doubt.

Statement: Some books are pens. All pen are pencils .  Some pencil are erasers.

Conclusion:

i) some pencils are books.

ii) some pens are erasers.

iii) Some books are erasers.

The least possible Venn diagram for the given statements is as shown below :

Conclusions:

I. Some pencils are books. → Follow (As some books are pens and all pen pencils are there. So, whole pens comes in pencils and some part of books is pens therefore some pencils are books is definitely true)

ii) Some pens are erasers.→  Does not follow (As all pen pencils are there and there are some pencil erasers. So, it is possible but not definitely true)

iii) Some books are erasers →  Does not follow (As some books are pens, all pen pencils are there and there are some pencil erasers. So, it is possible but not definitely true)

∴ Here, Only conclusions (i) is logical.​

Hence, the correct answer is "Option - (1)"