How to Prepare for CAT 2025 Quantitative Ability: Syllabus, Important Topics, Expert Tips & Practice Questions

How to Prepare for CAT Quantitative Ability?

For many IIM CAT 2025 candidates, there are a lot of resources for CAT quantitative aptitude preparation online. However, one of the most challenging or difficult tasks is preparing for the CAT quantitative ability section. Most of the CAT toppers consider the QA section to be one of the most unpredictable and time-consuming as well. How to prepare for CAT quantitative ability is like a hard nut to crack for non-engineering candidates with an educational background.

However, it is necessary to know the tips that can flip the page and bring new differences to the overall preparation. With effective CAT quantitative aptitude tips, preparing for the CAT 2025 can be a lot easier. Careers360 brings to you what QA is all about, major topics covered in the QA section, resources for CAT 2025 quantitative aptitude preparation online, topper tips on how to prepare for CAT quantitative ability, and much more.

Here are some preparation strategy for clearing the CAT quantitative aptitude section:

• Focus on understanding the core concepts before attempting high-level problems.
• Make sure you allocate have a dedicated times lot for solving quant questions every day.
• Regularly take sectional and full-length mocks to identify your weak areas.
• You can also learn Vedic maths techniques and approximation methods to improve your speed.
• Lastly, 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 questions trends can be very beneficial for the candidates. This would help them understand the most important CAT quantitative aptitude topics and structure their CAT 2025 quantitative aptitude preparation effectively. Reviewing the CAT quantitative aptitude syllabus is also essential to ensure all topics are covered. Given below is the CAT analysis 2024 for quantitative aptitude, which can help students prepare better for the upcoming exam.

• The Number System had the highest weightage with 4 questions (18.18%).

• Quadratic Equations and Ratio & Proportion had 2 questions each, contributing 9.09% each.

• Topics like Time, Speed, and Distance, Geometry, Percentage, AP & GP, Simple Interest, Logarithm, Profit and Loss, Exponents, Mensuration, Inequality, Average, and Time and Work had 1 question each (4.55% weightage).

• The section covered a mix of arithmetic, algebra, and geometry, making a balanced paper.

• Candidates needed strong conceptual clarity, especially in the Number System and Algebra, to perform well.

Important Quantitative Aptitude Topics for CAT 2025

While analysing the CAT 2024 question paper, a few subtopics of the CAT quantitative aptitude can be shortlisted, which must be prioritised during the candidate's CAT 2025 quantitative aptitude preparation. Applying the CAT Quantitative Ability preparation tips in these topics can help candidates to stay ahead of the competition. The most important topics of the CAT quantitative aptitude section are:

Recommended eBooks

Related eBooks & Sample Papers

Past 10 years CAT Question Papers with Solutions

37367+ Downloads

Free Download

CAT 2025 Quantitative Aptitude Cheat Sheet

137+ Downloads

Free Download

CAT 2025 Syllabus and High-Weightage Topics Guide

1723+ Downloads

Free Download

CAT 2024 Official Question Paper with Solutions (Slot 1, 2 and 3)

2061+ Downloads

Free Download

CAT 2025 Arithmetic Important Concepts and Practice Questions

523+ Downloads

Free Download

CAT 2025 Algebra Important Concepts and Practice Questions

338+ Downloads

Free Download

Best Books for CAT 2025 Exam Preparation

534+ Downloads

Free Download

Ultimate DILR CAT 2025 Guide: Concepts, Practice Sets and Detailed Solutions

104+ Downloads

Free Download

CAT 2025 Number System Important Concepts & Practice Questions

58+ Downloads

Free Download

MBA Exams Computer Based Mock Test 2025 - CAT, MAT, XAT, SNAP, NMAT

1863+ Downloads

Free Download

CAT 2025 GD PI Preparation: Experts and Toppers Tips

1590+ Downloads

Free Download

CAT 2025 Exam's High Scoring Chapters and Topics (Just Study 27% Syllabus and Score upto 100%)

10284+ Downloads

Free Download

CAT 2024 Quantitative Aptitude Questions

A few CAT exam quantitative Aptitude questions are given below for the candidate's CAT quantitative aptitude preparation 2025. Going through these questions would help the candidates to have an idea on what to expect for the CAT 2025 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

Most Important MCQs for Quant Section of CAT 2025

Preparing for the Quant section of CAT 2025 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:

What is Quantitative Ability?

CAT 2025 is expected to be held in November 2025 in an online mode. The quantitative ability section of CAT 2025 aims to test three things, namely- numerical ability, mathematical skills, and problem-solving skills. The quantitative ability or aptitude section is a part of almost all MBA entrance exams. In general, the questions in the quantitative ability section of the CAT exam are related to elementary mathematics.

In order to score good marks and clear the CAT cutoff, one needs to be completely acquainted with the fundamental concepts of solving questions. As per the exam pattern of CAT 2025 , the quantitative ability is a separate section and will have 40 minutes of sectional timing to solve the related questions.

Major Topics Covered Under CAT Quantitative Ability

How to Prepare for CAT Arithmetic?

Preparing for CAT quantitative aptitude, Arithmetic involves a few key strategies. Start by understanding the basics thoroughly, as a strong foundation is essential for tackling complex problems. Focus on topics like percentages, profit and loss, ratios, and time and work, as these are frequently tested in CAT quantitative aptitude questions. Practice regularly by solving a variety of problems to improve your speed and accuracy. Make sure to review and analyse your mistakes to learn from them. Use quality study materials aligned with the CAT quantitative aptitude syllabus and take mock tests to get a feel for the actual exam. Additionally, time management is crucial, so practice solving questions within a set time limit. This will help you manage your time effectively during the CAT quantitative aptitude section.

How to Prepare for CAT Number System?

Preparing for the CAT Number System requires a systematic approach. Begin by understanding the basic concepts such as divisibility rules, prime numbers, factors, multiples, and remainders. Ensure you have a clear grasp of fundamental operations like addition, subtraction, multiplication, and division as they form the basis for more complex problems. Practice solving problems related to topics like HCF and LCM, integers, and rational and irrational numbers. Regular practice is key, so solve a variety of problems to build your confidence and speed. Use study materials that explain concepts clearly and provide ample practice questions. Take mock tests to simulate the exam environment and improve your time management skills. Review your mistakes and understand where you went wrong to avoid repeating them. Stay consistent with your preparation and revise regularly to retain the concepts.

How to prepare for CAT Geometry?

Preparing for the CAT quantitative aptitude Number System requires a systematic approach. Begin by understanding the basic concepts such as divisibility rules, prime numbers, factors, multiples, and remainders. Ensure you have a clear grasp of fundamental operations like addition, subtraction, multiplication, and division as they form the basis for more complex problems in CAT quantitative aptitude questions. Practice solving problems related to topics like HCF and LCM, integers, and rational and irrational numbers. Regular practice is key, so solve a variety of problems to build your confidence and speed. Use study materials that align with the CAT quantitative aptitude syllabus and provide ample practice questions. Take mock tests to simulate the exam environment and improve your time management skills. Review your mistakes and understand where you went wrong to avoid repeating them. Stay consistent with your preparation and revise regularly to retain the concepts for the CAT quantitative aptitude section.

How to Prepare for CAT Algebra?

Preparing for CAT quantitative aptitude Algebra involves building a strong understanding of fundamental concepts and practising regularly. Start with the basics such as linear equations, quadratic equations, inequalities, and functions. Ensure you grasp these core concepts well, as they form the foundation for more complex problems in CAT quantitative aptitude questions. Focus on understanding the underlying principles rather than just memorising formulas. Practice a wide range of problems to become comfortable with different question types and improve your problem-solving skills. Use study materials aligned with the CAT quantitative aptitude syllabus to ensure comprehensive preparation.

How to Prepare for Quantitative Aptitude for CAT 2025

CAT Topper Kumar Sai Vishnu, on how to prepare for CAT quantitative aptitude, says that her approach was to practice a lot of basic arithmetic questions like percentage, profit, and loss. Along with that, geometry and number systems have been the key areas of focus for the CAT exam. Given below are some of the tips suggested by experts and toppers for preparing for CAT 2025. The following will help ace the CAT 2025 and score better.

• Plan Preparation Schedule

• Start With The Basics

• Work on Shortcut Techniques

• Focus on Weak Areas

• Practice with sectional time

• Solve Mock Tests and Previous Year Papers

Draw a Preparation Schedule

A solid preparation starts with a clear-cut timetable. So draw a timetable for CAT preparation and strictly follow it. When it comes to QA, try to devote at least three hours to this section. According to the previous toppers, it is good to start with the basics. Check out the previous year's question papers of CAT to know which topics are covered under the quantitative ability section. Do not make a monthly planner, as it will be difficult to follow in the beginning. So you better start with a weekly planner on how to prepare for quantitative ability, accompanied by CAT quantitative aptitude preparation online materials, and break it into a daily strategy.

Start With The Basics

Abraham Lincoln said, “Give me six hours to chop down a tree, and I will spend the first four sharpening the axe.”. This better applies here to CAT 2025 preparation. Candidates preparing for CAT 2025 should start with the basics instead of wasting time on complex topics. Once the conceptual clarity of each topic is there, candidates must start practicing and solving more and more questions. Solving simple examples at first and then gradually moving towards the difficult questions would be helpful.

The key to success in the QA section is getting your concepts right. Candidates who are preparing for CAT without coaching can consider CAT quantitative aptitude preparation online and make online study groups with like-minded people and put up their queries to find basic concepts clearly. The Quantitative Ability section is about how much time and practice candidates can put in. The more they practice, the better their chances of success. CAT quantitative aptitude preparation online gives them the freedom to access the group anytime from anywhere and get their doubts cleared.

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

Work on Shortcut Techniques

On how to prepare for the CAT quantitative ability, the very first thing that comes to mind is how to solve the questions accurately within the given time. To better and more effective time management for CAT, candidates should focus on learning speed tricks. The online group for CAT quantitative aptitude preparation can be tremendously helpful in this regard. You will learn the formula to solve QA questions quickly and accurately. While preparing and solving questions in the QA section, it is not advisable to attempt too many questions based on guesswork due to negative marking.

Focus on Weak Areas

The thumb rule for CAT 2025 in the initial months of practice is to focus on the areas of improvement and overcome the mistakes with more practice. At the time of preparing the QA section, weaker sections must be given due weightage. However, if candidates start their preparation for CAT 2025 in 3 months, it is better to focus on the main areas rather than spending time on weaknesses. As per the toppers of CAT, a fairly good score can be obtained by answering even half a number of questions (correctly) in QA.

Practice with Sectional Time

As mentioned above, CAT 2025 will have a sectional time of 40 minutes to answer one section. As a solution to "How to Prepare for CAT Quantitative Ability (QA)," candidates should try to solve the entire section by keeping an eye on the time. It is better to move ahead of time, as having a buffer time of a minimum of 5 to 10 minutes will leave room for revision on exam day. CAT toppers suggest that candidates should mark important questions and concepts in order to have a quick revision during the final leg.

Note: For questions in the QA section, candidates should follow and stick to the two-minute rule, i.e., if a question cannot be solved within two minutes of its duration, it is better to move on to the next one. Solving and practising a good number of questions will give results in the quantitative ability section.

Solve Mock Tests and Previous Year's Papers

One of the strategies on how to prepare for the quantitative aptitude CAT is to solve more and more CAT mock tests and CAT quantitative aptitude preparation online practice tests. To test where they stand initially, candidates can go for pre-mocks and get a sense of what to study. Once they are done with the practice and revision, they can go to the post-mocks of CAT. To get a command over the QA section, it is better to practice it on a regular basis.

Take at least one mock exam a day as CAT 2025 gets near. Through CAT mock tests, candidates will encounter variations in questions, and this will help them improve themselves. Solving CAT 2025 mock tests and online practice tests for CAT quantitative aptitude preparation will also acquaint candidates with the simulated exam day ambience. IIMs also provide the facility for official mock tests. The previous year's CAT exam papers are very useful for analysing the paper pattern and difficulty level of questions.

CAT Quantitative Aptitude Ebooks by Careers360

CAT Quantitative Aptitude eBooks by Careers360 are a great resource for exam preparation. They cover important topics with clear explanations, tips, and practice questions. These eBooks help you understand concepts easily and improve your problem-solving skills. They’re perfect for daily practice and building confidence for the CAT exam.