Syllogism – What follows logically? Premises: 1) All books written by Prabhakar are textbooks. 2) Some of his books are published by ABC Publishing Company.

Introduction / Context:
This is a basic syllogism problem about set relations. We are told that every book by Prabhakar falls inside the set “textbooks,” and that a subset of Prabhakar’s books are published by ABC Publishing Company. We must determine what conclusion necessarily follows.

Given Data / Assumptions:

• P1: If a book is written by Prabhakar, then it is a textbook.
• P2: Some of Prabhakar’s books are published by ABC.
• No other information about ABC’s overall catalogue is given.

Concept / Approach:
Translate to sets: Let P = {Prabhakar’s books}. Let T = {textbooks}. Let A = {books published by ABC}. P is a subset of T (P ⊆ T). P ∩ A is non-empty (because “some of his books are published by ABC”). Therefore, the intersection P ∩ A consists of textbooks (since P ⊆ T).

Step-by-Step Solution:

Verification / Alternative check:

Why Other Options Are Wrong:

Common Pitfalls:

Final Answer:
Some textbooks written by Prabhakar are published by ABC Publishing Company.