Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if
it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow from the
statements.

Statements:
All papers are pencils.
All pencils are erasers.
All erasers are pens.

Conclusions:
I. All pens are papers.
II. Some papers are erasers.
III. Some pens are pencils.

Question

Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if
it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow from the
statements.

Statements:  
All papers are pencils.  
All pencils are erasers.  
All erasers are pens.

Conclusions:  
I. All pens are papers.  
II. Some papers are erasers.  
III. Some pens are pencils.

Accepted Answer

Given statements: All papers are pencils, All pencils are erasers, All erasers are pens.

From these, we can infer:
- Since all papers are pencils and all pencils are erasers, all papers are erasers (transitive property).
- Since all erasers are pens, all papers are also pens.

Now, analyze each conclusion:

I. All pens are papers.
- This is not necessarily true because while all papers are pens, the reverse (all pens are papers) is not given or implied.

II. Some papers are erasers.
- Since all papers are erasers (from the transitive relation), this conclusion is true.

III. Some pens are pencils.
- Since all pencils are erasers and all erasers are pens, pencils are a subset of pens. Therefore, some pens are pencils is true.

Hence, only conclusions II and III logically follow.

Answer

Answer

Answer