1. Master the Basics

CAT doesn’t test definitions but will leave you struggling if you don’t have a solid understanding of the fundamentals. Knowing the types of numbers, divisibility rules, LCM-HCF, and odd and even numbers properties is non-negotiable. These aren’t just theoretical concepts but essential tools that make tougher problems solvable.

2. Use Shortcuts to Save Time

CAT isn’t about doing lengthy calculations but solving maths problems smartly and efficiently. Shortcuts are your secret weapon. Learning tricks like unit digit cycles, calculating trailing zeroes in factorials, and using digital roots can help you solve questions quickly without getting bogged down in unnecessary calculations.

These techniques aren’t just clever; they’re time-savers that can make a big difference in a high-pressure exam. Practice them consistently, and you’ll find yourself solving quickly and accurately.

3. Simplify Complex Problems

One of CAT’s favorite tricks is presenting you with problems that look more intimidating than they are. The solution? Simplify. Whether it’s breaking down large numbers into factors, using modular arithmetic to handle remainders, or spotting recurring patterns, the goal is to strip away the complexity and focus on the logic underneath.

Many questions rely on simple mathematical structures that, once recognised, make the problem straightforward. If a problem feels overwhelming, break it into smaller, more manageable parts.

4. Approximation Works Wonders

While precision is important, approximation can simplify your approach. For instance, when solving large powers or factorials, use modular arithmetic or rules around trailing zeroes instead of brute force calculations. Approximations let you skip irrelevant details and focus on the logic.

5. Visualise When Stuck

For tough questions, try thinking visually. Imagine a number line when working with consecutive integers or ranges or make mental diagrams to conceptualise factors, divisors, or groupings. Visualisation simplifies abstract problems and can help uncover hidden patterns.

6. Don’t Fear Advanced Concepts

Advanced topics like Euler’s Theorem and power properties may seem daunting at first, but they become simpler with practice. These tools can simplify remainder problems or divisibility checks in a way that feels almost magical.

While they aren’t needed for every question, understanding them gives you the flexibility to tackle more challenging problems without hesitation. Approach them step by step, and you’ll soon see how they fit into your overall strategy.

7. Practice with Purpose

It’s not about solving hundreds of questions—it’s about solving the right ones. Target various question types, including factorization, cyclicity, remainders, and patterns. The goal is to prepare for different scenarios rather than endlessly repeating the same type of problems. Analyse your mistakes to identify weak spots, then focus on those areas until they feel natural. Remember, consistency matters more than quantity. Practice smart, not hard.

The CAT Quant section isn’t about doing endless calculations—it’s about recognising patterns, breaking problems into manageable steps, and solving them strategically. Practice things right, and success will be within your reach.