Exam-Oriented Question Bank: Discrete Mathematics for Computer Science

By Rohit Kumar Sain

Bridge the gap between complex mathematical theory and examination success with this targeted question bank. Specifically curated for MCA MSc CS and PGDCA students under the MGSU 2024-25 syllabus, this book is the ultimate companion for the 2026 Semester I examinations.

---

Overview

Discrete Mathematics is the backbone of computer science, yet it remains one of the most challenging subjects for students. Author Rohit Kumar Sain simplifies this journey by providing a performance-driven study aid that combines concise theoretical notes with high-probability Previous Year Questions (PYQs). This booklet is designed to help students master logic, sets, and algebraic structures while adhering to the latest university examination patterns.

---

Key Features

• Comprehensive Syllabus Coverage: Every unit—from Set Theory to Matrix Algebra—is covered in depth.

• Exam-Focused Content: Includes detailed answers to frequently asked questions and previous year problems (e.g., MSc CS 2021, 2022, 2023).

• Logical Mathematical Clarity: Complex proofs and theorems (such as Lagrange’s Theorem or Cayley-Hamilton Theorem) are broken down into easy-to-understand steps.

• Scannable Exam Formats: Organized into sections for Multiple Choice Questions (MCQs), Fill-in-the-blanks, and Descriptive Long-form answers.

• Technical Precision: All mathematical content is presented with rigorous accuracy using standard notation for sets, logic, and matrices.

---

Syllabus At a Glance

Unit	Core Topics Covered
Unit I	Set Theory ($A \cup B, A \cap B$), Cartesian Products, Relations, and Functions.
Unit II	Group Theory, Subgroups, Permutation Groups, Homomorphism, and Isomorphism.
Unit III	Mathematical Logic, Truth Tables, Boolean Algebra, and Logic Gates.
Unit IV	Graph Theory, Paths and Circuits, Trees, and Spanning Trees.
Unit V	Matrix Algebra: Rank, Inverse, Eigenvalues, and Eigenvectors.

---

Exam Strategy and Marks Distribution

This question bank aligns perfectly with the 100-mark evaluation system (80 External + 20 Internal). It provides specific guidance for:

• Section A: Quick-fire 1-mark questions (MCQs and Fill-in-the-blanks).

• Section B: 5-mark conceptual questions requiring 150-word explanations.

• Section C: High-weightage 15-mark descriptive problems and proofs.

   

“Designed not just to teach, but to help you score. This booklet focuses on the exact concepts, theoretical topics, and expected questions based on past trends.”