Introduction to Number Theory for CAT Prep

Succeeding in competitive exams like the CAT requires a rock-solid grasp of quantitative aptitude, and number theory lies at the absolute heart of these tests. This written course is designed to help you build a deep, intuitive understanding of numbers and their properties from the ground up, transforming complex math puzzles into manageable, logical steps. You will start by learning foundational definitions, classification of numbers, and core arithmetic principles before progressing to advanced problem-solving techniques. By working through clear explanations and structured written practice problems, you will develop the speed and accuracy needed for exam day. What you'll learn: Understand core number systems, classification of numbers, and prime factorization; Apply divisibility rules and find the number of factors of any integer; Master modular arithmetic, remainders, and last digit finding techniques; Solve complex problems involving highest common factors (HCF) and lowest common multiples (LCM); Practice systematic algebraic reasoning to tackle word problems and numerical puzzles. This course begins with fundamental terminology and guides you through step-by-step mathematical reasoning, concluding with realistic practice scenarios modeled after competitive exam patterns. This course is designed specifically for beginners and aspirants starting their quantitative aptitude preparation, with no prior advanced mathematical training required. Start reading today to build a strong mathematical foundation and boost your exam score.