How to Prepare for CAT 2026 Quantitative Aptitude: Strategy, Topics, Questions & Expert Tips

How to Prepare for CAT Quantitative Ability?

For many IIM CAT 2026 candidates, getting ready for the CAT Quantitative Ability section is one of the tougher things to do. Most CAT toppers say that QA is one of the most unpredictable, and also time-heavy sections, particularly for non-engineering candidates.

However, it is necessary to know the tips that can bring a difference to the overall preparation. Careers360 brings to you what QA is all about, major topics covered in the QA section, resources for CAT 2026 quantitative aptitude preparation online, topper tips on how to prepare for CAT quantitative ability, and much more.

Here are some preparation strategies for clearing the CAT Quantitative Aptitude section:

• Focus on understanding the core concepts before attempting high-level problems.

• Make sure you allocate a dedicated time slot for solving Quant questions every day.

• Regularly take sectional and full-length mocks to identify your weak areas.

• Learn Vedic Maths techniques and approximation methods to improve your speed.

• Review incorrect attempts to avoid repeating the same mistakes.

CAT Last Year Quantitative Aptitude Analysis

Having a good idea of the previous year's CAT Quantitative Aptitude question trends can be very beneficial for candidates. This helps them understand the most important CAT Quantitative Aptitude topics and structure their CAT 2026 Quantitative Aptitude preparation effectively. Reviewing the CAT Quantitative Aptitude syllabus is also essential to ensure all topics are covered.

CAT 2025 QA Topic-wise Comparison (Number of Questions)

Learn More in detail:

CAT 2025 Slot by Slot Master Weightage Matrix PDF

CAT Quantitative Aptitude Questions

A few CAT exam quantitative Aptitude questions are given below for the candidate's CAT quantitative aptitude preparation 2026. Going through these questions would help the candidates to have an idea on what to expect for the CAT 2026 exam.

Question 1:
Two places A and B are 45 kms apart and connected by a straight road. Anil goes from A to B while Sunil goes from B to A. Starting at the same time, they cross each other in exactly 1 hour 30 minutes. If Anil reaches B exactly 1 hour 15 minutes after Sunil reaches A, the speed of Anil, in km per hour, is

1. 12

2. 16

3. 18

4. 14

Question 2:
Consider two sets A = {2,3,5,7,11,13} and B = {1,8,27}. Let f be a function from A to B such that for every element b in B, there is at least one element a in A such that f(a) = b. Then, the total number of such functions f is

1. 537

2. 540

3. 665

4. 667

Question 3:
In September, the incomes of Kamal, Amal, and Vimal are in the ratio 8:6:5. They rent a house together, and Kamal pays 15%, Amal pays 12%, and Vimal pays 18% of their respective incomes to cover the total house rent in that month. In October, the house rent remains unchanged while their incomes increase by 10%, 12%, and 15%, respectively. In October, the percentage of their total income that will be paid as house rent is nearest to

1. 15.18

2. 14.84

3. 13.26

4. 12.75

Question 4:
An amount of Rs 10000 is deposited in bank A for a certain number of years at a simple interest of 5% per annum. On maturity, the total amount received is deposited in bank B for another 5 years at a simple interest of 6% per annum. If the interests received from bank A and bank B are in the ratio 10:13, then the investment period, in years, in bank A is

1. 5

2. 6

3. 4

4. 3

Question 5:
The sum of all four-digit numbers that can be formed with the distinct non-zero digits a, b, c, and d, with each digit appearing exactly once in every number, is 153310 + n, where n is a single-digit natural number. Then, the value of (a + b + c + d + n) is.

Important Topics for CAT Quantitative Ability

Given below are the most important topics for CAT preparation based on the CAT previous year’s papers and recent trends.

Number systems

The Number Systems topic in the CAT (Common Admission Test) exam often covers a variety of concepts. This section tests your understanding of numerical properties, divisibility rules, factors, multiples, and various number theories. Here are important CAT number systems questions.

1. How many three-digit numbers are greater than 100 and increase by 198, when the three digits are arranged in the reverse order?

1. 70

2. 65

3. 72

4. 75

Solution:

Let the numbers be of the form 100a + 10b + c, where a, b, and c represent single digits.
According to the question,
(100c + 10b + a) – (100a + 10b + c) = 198
⇒ 99c – 99a = 198
⇒ c – a = 2
So, the difference between the hundreds place digit and the units place digit is 2.
Now, a can take the values 1–7.
a cannot be zero as the initial number has 3 digits and cannot be 8 or 9 as then, c would not be a single-digit number.
Thus, there can be 7 cases.
We have 10 numbers for each combination.
b can take the value of any digit from 0–9, as it does not affect the answer.
Therefore Total cases will be 7 × 10 = 70

Hence, the correct answer is 70.

2. A basket of 2 apples, 4 oranges, and 6 mangoes costs the same as a basket of 1 apple, 4 oranges, and 8 mangoes, or a basket of 8 oranges and 7 mangoes. Then the number of mangoes in a basket of mangoes that has the same cost as the other baskets is:

1. 11

2. 13

3. 10

4. 12

Solution:

Let the cost of an apple, an orange, and a mango be a, o, and m, respectively.
Then it is given that:
2a + 4o + 6m = a + 4o + 8m
⇒ a = 2m
Also, a + 4o + 8m = 8o + 7m
⇒ 10m – 7m = 4o
⇒ 3m = 4o
We can now express the cost of a basket in terms of mangoes only:
2a + 4o + 6m = 4m + 3m + 6m = 13m

Hence, the correct answer is 13.

Algebra

Algebra is a significant component of the Quantitative Ability section in the CAT exam. It involves solving equations, understanding functions, and manipulating algebraic expressions. Here are a few examples of algebra questions you should focus on:

1. The largest real value of a for which the equation |x + a|+|x – 1| = 2 has an infinite number of solutions for x is:

1. –1

2. 0

3. 1

4. 2

Solution:

In the question, it is given that the equation |x+a|+|x-1|=2 has an infinite number of solutions for any value of x. This is possible when x in |x + a| and x in |x - 1| cancel out.

Case 1:

x + a < 0, x ≥ 0

- a - x + x - 1 = 2

a = -3

Case 2:

x + a ≥ 0 and x - 1 < 0

x + a - x + 1 = 2

a = 1

The largest value of a is 1.

Hence, the correct answer is 1.

2. The quadratic polynomial whose zeros are 1 and –3 is:

1. x² + 2x - 3
2. x² - 3x + 2
3. x² + x + 3
4. x² + 3x - 2

Solution:

Let α = 1 and β = -3

Sum of zeros = (α + β) = 1 + (-3) = -2

Product of zeros = αβ = 1 × (-3) = -3

So, the required polynomial is:

x² - (α + β)x + αβ = x² - (-2)x + (-3) = x² + 2x - 3

Hence, the correct answer is x² + 2x - 3.

Geometry & Mensuration

Geometry and Mensuration are essential topics in the Quantitative Ability section of the CAT exam. These topics test your understanding of shapes, sizes, properties of figures, and their spatial relationships.

1. The lengths of all four sides of a quadrilateral are integer-valued. If three of its sides are of length 1 cm, 2 cm and 4 cm, then the total number of possible lengths of the fourth side is:

1. 3

2. 4

3. 6

4. 5

Solution:

Sum of the three sides of a quadrilateral is greater than the fourth side.
Therefore, let the fourth side be
1 + 2 + 4 > d or d < 7
1 + 2 + d > 4 or d > 1

Possible values of d are 2, 3, 4, 5 and 6.
Hence, the correct answer is 5.

2. Suppose the medians BD and CE of a triangle ABC intersect at a point O. If area of triangle ABC is 108 sq. cm., then, the area of the triangle EOD, in sq. cm., is

1. 9

2. 7

3. 4

4. 5

Solution:

Area of ABD : Area of BDC =1: 1
Therefore, area of A B D=54
Area of A D E : Area of E D B=1: 1
Therefore, area of A D E=27
O is the centroid and it divides the medians in the ratio of 2:1
Area of BEO : Area of EOD =2: 1
Area of EOD =9

Section-wise Useful Resources, you must read:

Most Important MCQs for Quant Section of CAT 2026

Preparing for the Quant section of CAT 2026 can be challenging, but practising the most important MCQs can make a big difference. These questions help you understand key concepts, improve speed, and boost accuracy. Get the links of different MCQ practice questions below:

CAT 2026 Preparation Tips for Different Sections

Arithmetic

Arithmetic forms the backbone of the CAT QA section and directly influences your speed and accuracy. Below are five technically sound and exam-oriented preparation tips to help you solve Arithmetic questions more efficiently and consistently.

1. Build Formula Understanding, Not Formula Memory

Instead of memorising formulas, derive them at least once to understand where they come from and how they behave under different values.

Why this matters:

• CAT often tweaks conditions (changing base, time units, or ratios).

• Conceptual clarity helps you modify formulas on the fly.

Example:
In Time & Work, understand why

Work = Rate × Time

and how efficiencies add, instead of memorising shortcuts like “LCM method” blindly. This helps especially in questions involving changing work rates or partial completion.

2. Master Ratio Conversion Across Topics

Arithmetic topics are interconnected through ratios. Convert everything into ratios wherever possible.

• Percentages → ratios

• Averages → total = average × count

• Speed → distance : time

• Mixtures → quantity ratios

Once a question is in ratio form, calculation load reduces drastically, and estimation becomes easier—critical under CAT time pressure.

3. Strengthen Unit Consistency and Variable Mapping

Many CAT Arithmetic errors occur due to unit mismatch rather than conceptual gaps.

• Write units explicitly in rough work (km/hr, m/sec, rupees/day).

• Convert all quantities to one base unit before solving.

• Clearly define variables before forming equations.

Questions on Speed–Time–Distance, Pipes & Cisterns, and Ages often hide traps through unit shifts or incomplete information.

4. Learn to Identify the Core Model of Each Question

Every Arithmetic question belongs to a limited set of models. Your goal is to quickly identify the model and apply the correct framework.

Common Models:

• Percentage change → successive change model

• Profit & Loss → CP–SP–Margin model

• Time & Work → efficiency model

• Averages → deviation model

While practising, tag each question with its underlying model. Over time, model recognition becomes instinctive, cutting down interpretation time.

5. Optimise Equation Formation—Avoid Over-Engineering

Many students lose time by forming complex or unnecessary equations.

CAT-smart approach:

• Use options for back-solving when variables are too many.

• Apply value assignment (assume simple values like 100, 60, or LCMs).

• Prefer one-equation logic over simultaneous equations when possible.

Number System

The Number System section in CAT tests your logical clarity, divisibility sense, and comfort with integers rather than heavy calculations. Below are five technical and exam-oriented preparation tips to strengthen this area.

Strengthen Fundamental Properties of Integers

Go beyond definitions and focus on how integers behave under operations.

Key properties to master:

• Even ± Even = Even, Odd ± Odd = Even, Even ± Odd = Odd

• Odd × Odd = Odd, but any number × Even = Even

• Sign changes in multiplication and division

CAT frequently checks reasoning through options, especially in questions on remainders, parity, and divisibility, where elimination works faster than direct computation.

Master Divisibility Rules and Factor Logic

Divisibility is the backbone of Number System questions.

• Prime factorisation

• Highest power of a prime dividing a number

• Trailing zeros in factorials

• HCF–LCM relationships

Instead of calculating large numbers, express values as products of primes. This makes problems involving factorials, powers, and divisors significantly easier and faster.

Develop Strong Remainder Concepts (Modular Arithmetic)

Remainders are often asked in tricky formats.

Key skills required:

• Understanding cyclicity of remainders

• Breaking numbers into manageable parts

• Applying modulo properties correctly

Example idea:
If a number is expressed as a power or a large expression, reduce each part modulo the divisor instead of evaluating the whole number.

Learn Standard Models for Special Question Types

Most Number System questions fall into fixed models.

Common CAT models include:

• Remainder when a number is divided by n

• Finding last digit or last two digits

• Counting number of factors

• Numbers expressed in factorial or exponential form

Practice strategy:
After solving a question, identify which model it belongs to. Over time, this builds pattern recognition and drastically reduces solving time.

Use Smart Substitution and Case Analysis

Some Number System questions cannot be solved by direct algebra.

Effective techniques:

• Assume simple values that satisfy given conditions

• Check edge cases (smallest or largest possible values)

• Eliminate options using contradictions

Questions involving constraints, digit properties, or conditional statements are best tackled with structured case analysis rather than long calculations.

Geometry

Geometry in CAT tests conceptual clarity, visualisation, and logical deduction, rather than advanced theorems. With the right technical approach, it becomes a high-accuracy scoring area. Below are five important and exam-oriented preparation tips for Geometry.

Master Basic Properties and Theorems—Avoid Advanced Shortcuts

CAT questions rely heavily on fundamental geometric properties, not complex formulas.

• Angle sum and exterior angle properties

• Triangle inequality and side–angle relationships

• Parallel lines and transversal properties

• Basic circle theorems (angles in a semicircle, chord properties)

CAT tests whether you can apply basic rules in unfamiliar configurations, not whether you remember obscure theorems.

Learn Diagram Translation and Redrawing Techniques

Most Geometry questions become easier when the diagram is redrawn or simplified.

• Redraw figures to scale whenever possible

• Extend lines or complete shapes to expose hidden angles

• Mark all given and derived angles immediately

Many solutions become visually obvious once the figure is reconstructed correctly, reducing the need for algebraic manipulation.

Identify the Underlying Geometry Model Quickly

Every Geometry question follows a specific structural pattern.

Common CAT geometry models:

• Similar triangles

• Right-angled triangle with ratios

• Circle with tangent and chord relations

• Quadrilateral angle and diagonal properties

While practising, label each question by model. This trains your mind to instantly recall the right set of properties during the exam.

Prefer Ratios Over Absolute Measurements

CAT Geometry rarely requires exact values. Ratios are more powerful and flexible.

Where ratios help:

• Similar triangles

• Area comparisons

• Height–base relationships

• Combination of geometry with algebra

Assuming convenient values (like side = 1 or height = 2) simplifies calculations without affecting correctness when ratios alone determine the answer.

Combine Geometry with Logical Elimination

Sometimes direct solving is unnecessary.

Smart techniques:

• Check feasibility using triangle inequality

• Eliminate impossible angle combinations

• Use approximate drawing to reject wrong options

Options are often designed so that only one is geometrically possible, making intelligent elimination a faster route than full calculation.

How to Solve CAT Quant Questions Faster

Speed in CAT Quantitative Aptitude is not about calculating quickly—it is about solving questions intelligently. The objective is to minimise unnecessary calculations, identify the shortest solution path, and manage time efficiently. By combining strong concepts with smart problem-solving techniques, you can attempt more questions with higher accuracy.

Learn Mental Calculation Techniques

Strong calculation skills can save several minutes during the exam. Instead of relying on rough calculations for every question, practise mental maths techniques regularly.

Focus on:

• Memorising multiplication tables up to at least 30.

• Learning squares up to 50 and cubes up to 20.

• Quickly calculating percentages, fractions, decimals, and ratios.

• Using divisibility rules for Number System questions.

• Estimating square roots and cube roots whenever exact values are unnecessary.

Spending just 15–20 minutes daily on calculation practice can significantly improve your solving speed over time.

Use Elimination & Approximation

Not every CAT Quant question requires a complete solution. Since most questions are multiple-choice, you can often eliminate incorrect options or estimate the answer to save valuable time.

Some useful techniques include:

• Eliminating options that violate the conditions given in the question.

• Substituting answer choices into the equation instead of solving it completely.

• Using approximation for percentage, ratio, and algebra-based questions where exact values are unnecessary.

• Comparing the relative size of options to identify the most reasonable answer.

• Skipping lengthy calculations if a smarter shortcut is available.

These techniques are especially effective in Arithmetic, Algebra, and Modern Mathematics questions.

Manage Time Effectively During the Exam

Time management can be the difference between a good percentile and an exceptional one. Instead of attempting questions sequentially, prioritise those you can solve confidently.

Follow these strategies:

1. Scan the section quickly and begin with your strongest topics.

2. Avoid spending more than 2–3 minutes on a single question during the first attempt.

3. Skip difficult questions immediately and return to them later if time permits.

4. Maintain a balance between speed and accuracy—incorrect answers carry negative marking.

5. Reserve the final few minutes to review flagged questions instead of rushing through new ones.

Remember, attempting fewer questions accurately is often more rewarding than attempting many with low accuracy.

CAT Quant Preparation Plan

A structured study plan helps you complete the syllabus systematically while leaving enough time for revision and mock tests. Your preparation strategy should evolve as the exam approaches.

3-Month CAT Quant Preparation Plan

If you have three months left before CAT 2026, divide your preparation into three phases.

Month 1: Build Concepts

• Complete Arithmetic and Algebra fundamentals.

• Revise Number System basics.

• Solve 30–40 topic-wise questions daily.

• Start one sectional test every week.

Month 2: Strengthen Application

• Complete Geometry, Mensuration, and Modern Mathematics.

• Begin mixed-topic practice sets.

• Increase sectional tests to two per week.

• Start analysing mistakes and maintaining an error log.

Month 3: Mock Test & Revision Phase

• Attempt 2–3 full-length CAT mocks every week.

• Revise formulas and frequently used shortcuts.

• Focus on question selection and time management.

• Solve previous year CAT Quant questions to understand the exam pattern.

• Prioritise accuracy over the number of attempts.

How to Prepare for Quantitative Aptitude for CAT 2026

CAT topper Kumar Sai Vishnu says that the key to CAT Quant preparation is practising basic Arithmetic topics like Percentage, Profit and Loss, while giving special attention to Geometry and Number System. Here are some expert and topper-recommended tips to score well in CAT 2026.

Draw a Preparation Schedule

A solid preparation starts with a clear-cut timetable. Devote at least three hours daily to Quantitative Aptitude and begin with the basics. Follow a weekly planner instead of a monthly one, and use previous years' CAT question papers along with online preparation materials to build a daily study strategy.

Start With The Basics

Candidates should begin with the basics before moving to complex topics. Once the concepts are clear, gradually progress from simple to difficult questions through regular practice.

The key to success in the QA section is conceptual clarity and consistent practice. Candidates preparing without coaching can use online study materials and discussion groups to clear doubts and strengthen their understanding.

Best Books on How to Prepare for CAT Quantitative Ability Section:

Work on Shortcut Techniques

One of the biggest challenges in CAT Quant is solving questions accurately within the given time. Focus on learning shortcut techniques and speed tricks to improve time management. Avoid guesswork while attempting questions, as incorrect answers attract negative marking.

Focus on Weak Areas

During the initial months of preparation, identify your weak areas and improve them through consistent practice. However, if you are preparing for CAT 2026 in just three months, prioritise high-weightage topics instead of spending too much time on weaker sections. Even attempting fewer questions accurately can fetch a good score.

Practice with Sectional Time

Since the CAT Quant section has a 40-minute sectional time limit, practise solving questions within this duration. Keep a buffer of 5–10 minutes for revision and follow the two-minute rule—if a question takes longer than two minutes, skip it and move to the next one.

Solve Mock Tests and Previous Year's Papers

Regular mock tests and previous years' CAT papers are essential for improving speed, accuracy, and exam temperament. Start with topic-wise and sectional mocks, then move to full-length mock tests as the exam approaches. Analysing your performance after every mock is equally important for identifying mistakes and improving your strategy.

CAT Quantitative Aptitude eBooks by Careers360

CAT Quantitative Aptitude eBooks by Careers360 cover important topics with clear explanations, preparation tips, and practice questions. They are useful for strengthening concepts, improving problem-solving skills, and supporting regular CAT Quant preparation.