Statement: Some pens are books. All... - Solved

Question 34

Logical Reasoning Syllogism Easy

Statement:

Some pens are books.

All schools are Books.

Some Colleges are Schools.

Consider the following conclusions based on above statements.

(A) Some Colleges are pens.

(B) Some Pens are Schools.

Choose the correct conclusions from the options given below:

(A) (A) and (B)

(B) (A), (B) and (C)

(C) (C) only

(D) (B) and (C) only

✓ Correct Answer: Option C Verified Solution

Syllogism Solution

To determine the correct option, let's analyze each conclusion based on the given statements.

(A) Some Colleges are pens.
From the statements, we know some colleges are books and some pens are books. However, there is no guaranteed overlap between the 'colleges that are books' and the 'pens that are books'. Therefore, this conclusion does not necessarily follow.
(B) Some Pens are Schools.
We know that all schools are books, and some pens are books. This means the 'Schools' circle is completely inside the 'Books' circle, and the 'Pens' circle overlaps with the 'Books' circle. This overlap does not have to be in the area where 'Schools' are. Therefore, this conclusion does not necessarily follow.
(C) Some Colleges are books.
We can directly combine the statements "Some Colleges are Schools" and "All Schools are Books." If some colleges are schools, and all of those schools are books, then it is certain that Some Colleges are books. This conclusion logically follows.

Only conclusion (C) can be logically derived from the statements.

Therefore, the correct option is C.