CAT Number Systems: A Guide to Integer Properties

Number Systems are a cornerstone of the CAT Quantitative Aptitude section, testing deep conceptual clarity and logical reasoning. This guided path will take you from the fundamental properties of integers to the advanced techniques required to solve the most challenging CAT problems.

Section 1: Foundations of Integers

The Building Blocks: Number Classification

Start with the fundamental types of numbers. This is the basic vocabulary for all Number Systems questions.

Integer Properties: Prime, Even & Odd

Dive deeper into integers. Learn what makes them Prime, Composite, Even, Odd, and more with our interactive examples.

Section 2: Divisibility and Factors

Core Skill: Divisibility Rules

Master the essential rules of divisibility. This is a critical time-saving skill for simplifying large numbers in CAT problems.

Core Skill: Factors & HCF/LCM

Learn about prime factorization and how to find the Highest Common Factor (HCF) and Lowest Common Multiple (LCM) of numbers.

Advanced Factors for CAT (NEW)

Go beyond the basics. Learn to calculate the sum and product of factors, and other advanced concepts frequently tested on the CAT.

Section 3: Remainders & Advanced Properties

Advanced Remainders for CAT (NEW)

Master the algebraic Remainder Formula and explore advanced concepts like cyclicity to solve the toughest CAT remainder problems.

Properties of Integers (Diophantine Equations)

Learn how to find integer solutions for linear equations, a classic advanced problem type that tests your logical framework for number properties.

Ask Mindy

Hi! I'm Mindy, your AI learning assistant. How can I help you today?