Course Content
Number System
This module focuses on Number System concepts through authentic CAT Previous Year Questions (PYQs), helping students build a strong foundation in one of the most frequently tested areas of Quantitative Aptitude. Learners will understand the behavior of numbers, identify common CAT traps, and apply concepts efficiently under exam conditions. The module covers core topics such as properties of numbers, divisibility, factors and multiples, LCM & HCF, remainders, base system, and cyclicity, all mapped directly to CAT PYQs from the last 15 years. Questions are arranged from easy to difficult, enabling a gradual increase in conceptual depth and problem-solving confidence. Special emphasis is given to pattern recognition, shortcut logic, and elimination techniques, which are crucial for saving time in the CAT exam. By the end of this module, students will be able to quickly assess number-based questions, decide whether to attempt or skip, and solve them with greater accuracy and speed.
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Properties of Numbers
Properties of Number
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Divisibility Divisibility – Core Concept
Divisibility-Core Concept
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Divisibility
1️⃣ Divisibility – Core Concept A number A is divisible by B if division of A by B leaves remainder 0. 🔹 CAT Insight: Divisibility is often tested indirectly through conditions, options elimination, or constraints, not direct rule-based questions. 2️⃣ Important Divisibility Rules (CAT-Relevant) Divisible by 2 Last digit is even (0, 2, 4, 6, 8) Divisible by 3 Sum of digits divisible by 3 Divisible by 4 Last two digits divisible by 4 Divisible by 5 Last digit is 0 or 5 Divisible by 6 Divisible by both 2 and 3 Divisible by 9 Sum of digits divisible by 9 Divisible by 11 Difference of sum of digits in alternate positions is 0 or a multiple of 11
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Percentage
Percentage
00:15:00
CAT Quant PYQs (2023-2025)- 3 years: Complete Practice Course

Percentages is one of the most important and frequently tested topics in the Quantitative Ability section of the CAT examination. It serves as a base for several other Arithmetic topics such as Profit & Loss, Ratio & Proportion, Averages, Simple & Compound Interest, and Data Interpretation.

In CAT, percentage questions focus on conceptual understanding and application, rather than direct formula-based calculations. Commonly tested areas include percentage increase and decrease, successive percentage changes, comparison of quantities, percentage conversion to fractions/ratios, and real-life applications like discounts, population growth, and price changes.

Most questions are context-driven and calculation-heavy, requiring candidates to use approximation, fraction–percentage equivalence, and logical shortcuts to save time. The difficulty level generally ranges from easy to moderate, making this a high-scoring topic if mastered well.

A strong command over percentages helps candidates:

  • Quickly analyze changes in quantities

  • Solve complex arithmetic and DI problems efficiently

  • Improve calculation speed and accuracy

Overall, mastering percentages is essential for building confidence in CAT Arithmetic and significantly enhances overall performance in the exam.

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