November 25, 2025
Overview: What are the Important formulas for CAT exam 2026? Is the Quantitative section of the CAT exam tough? Read on to know the complete details.
So, keep reading to explore all the CAT formula books list and important CAT formula sheet compiled in our CAT 2026 PDF below
| Number System Formula PDF | |
| Arithmetic Formula PDF | |
| Number Theory Formula PDF | |
| Quadratic Equation Formula PDF | |
| Inequalities Formula PDF | |
| Logarithms, Surds & Indices Formula PDF | |
| Time, Speed & Distance Formula PDF | |
| Linear Equations Formula PDF | |
| Ratio, Proportion & Variations Formula PDF | |
| Simple Interest - Compound Interest Formula PDF | |
| Profit & Loss Formula PDF |
The quantitative section of the CAT exam evaluates candidates' problem-solving abilities through topics such as Algebra, Arithmetic, Number Systems, Geometry, and Miscellaneous. It consists of 22 questions covering different topics.
While you may already be familiar with these CAT formula sheet from high school, revising them is crucial to enhance your CAT exam preparation. Here is the list of the most important formulas of CAT exam for quantitative aptitude.
Also Read | Data Interpretation Orientation and Shortcuts
Learning the CAT quant formulas can help you understand the basics. So, here are the CAT important formulas for the number system:
|
Description |
Formulas |
|
Difference of Squares |
(a + b)(a - b) = a² - b² |
|
Square of a Binomial (positive) |
(a + b)² = a² + 2ab + b² |
|
Square of a Binomial (negative) |
(a - b)² = a² - 2ab + b² |
|
Square of a Trinomial |
(a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca |
|
Sum of Cubes |
(a³ + b³) = (a + b)(a² - ab + b²) |
|
Difference of Cubes |
(a³ - b³) = (a - b)(a² + ab + b²) |
|
Factorization of a³ + b³ + c³ - 3abc |
(a³ + b³ + c³ - 3abc) = (a + b + c)(a² + b² + c² - ab - bc - ca) |
|
Special case for a + b + c = 0 |
When a + b + c = 0, then a³ + b³ + c³ = 3abc |
|
Sum of first n natural numbers |
1 + 2 + 3 + ... + n = n(n + 1) / 2 |
|
Sum of squares of first n natural numbers |
1² + 2² + 3² + ... + n² = n(n + 1)(2n + 1) / 6 |
|
Sum of cubes of first n natural numbers |
1³ + 2³ + 3³ + ... + n³ = (n(n + 1) / 2)² |
|
Sum of first n odd numbers |
Sum of first n odd numbers = n² |
|
Sum of first n even numbers |
Sum of first n even numbers = n(n + 1) |
Also Read | CAT 2026: Exam Pattern, Syllabus for Quantitative Aptitude
Understanding the CAT formulas for profit and loss can be a plus point to boost your preparation for the main day. Here are some CAT important formulas you should focus on:
|
S.No. |
Formulas |
|
1. |
Profit = Selling Price (SP) - Cost Price (CP) |
|
2 |
Loss = Cost Price (CP) - Selling Price (SP) |
|
3 |
Profit Percentage = (Profit / Cost Price) * 100 |
|
4 |
Loss Percentage = (Loss / Cost Price) * 100 |
|
5 |
Selling Price = (100 + Profit Percentage) / 100 * Cost Price |
|
6 |
Selling Price = (100 - Loss Percentage) / 100 * Cost Price |
|
7 |
Cost Price = 100 / (100 + Profit Percentage) * Selling Price |
|
8 |
Cost Price = 100 / (100 - Loss Percentage) * Selling Price |
|
9 |
Discount = Marked Price - Selling Price |
|
10 |
Discount Percentage = (Discount / Marked Price) * 100 |
Read More: SuperGrads CAT Toppers Interview
Check | How To Prepare For CAT Exam 2026?
Learning these Important Formulas for CAT can help you solve questions quickly and improve your overall accuracy in Time, Distance, Speed & Work.
|
Category |
Formulas |
|
Speed |
Speed = Distance / Time |
|
Distance |
Distance = Speed * Time |
|
Time |
Time = Distance / Speed |
|
Average Speed (constant distance) |
Average Speed = 2xy / (x + y) |
|
Work |
Work Done = Time Taken * Rate of Work |
|
Work |
Rate of Work = 1 / Time Taken |
|
Work |
Time Taken = 1 / Rate of Work |
Also Read | CAT Exam is for Which Stream: Exam Pattern & Syllabus
| Free CAT Mock Test -01 | |
| Free CAT Mock Test- 02 | |
| Free CAT Mock Test- 03 |
|
S.No. |
Formulas |
|
1 |
Percentage = (Part / Whole) * 100 |
|
2 |
Percentage Increase= [(New Value - Old Value) / Old Value] * 100 |
|
3 |
Percentage Decrease= [(Old Value - New Value) / Old Value] * 100 |
|
4 |
Profit Percentage = (Profit / Cost Price) * 100 |
|
5 |
Loss Percentage = (Loss / Cost Price) * 100 |
|
6 |
Markup Percentage = (Markup / Cost Price) * 100 |
|
7 |
Discount Percentage = (Discount / Marked Price) * 100 |
Also Read: CAT Total Marks and Distribution
|
S.No. |
Formulas |
|
1. |
Work Done = Time Taken × Rate of Work |
|
2. |
Rate of Work = 1 / Time Taken |
|
3. |
Time Taken = 1 / Rate of Work |
|
4. |
Total Work = Number of Days × Efficiency |
|
5. |
Efficiency = Work / Time |
|
6. |
M1D1H1W2 = M1D2H2W1 |
Also Read | How to download CAT Exam Admit Card 2026
|
S.No. |
Formulas |
|
1 |
Simple Interest = (P * R * T) / 100 |
|
2 |
Amount in Simple Interest = P + SI |
|
3 |
Compound Interest (Annual Compounding) = P [(1 + R/100)^T - 1] |
|
4 |
Amount in Compound Interest (Annual Compounding) = P (1 + R/100)^T |
|
5 |
Compound Interest (Periodic Compounding) = P [(1 + R/n)^(nt) - 1] |
|
6 |
Amount in Compound Interest (Periodic Compounding)= P (1 + R/n)^(nt) |
Know More: How to crack CAT exam in first attempt?
|
Shapes |
Formula for Area (A) |
Formula for Perimeter (P) |
|
Square |
A = s² |
P = 4s |
|
Rectangle |
A = lb |
P = 2(l + b) |
|
Triangle |
A = 1/2 bh |
P = a + b + c (where a, b, c are sides) |
|
Circle |
A = πr² |
P = 2πr or πd |
|
Parallelogram |
A = bh |
P = 2(l + b) |
|
Trapezium |
A = 1/2 (a + b)h |
P = a + b + c + d (where a, b are parallel sides) |
Read More | CAT Exam Subjects 2026
|
Shapes |
Formula for Volume (V) |
The formula for Total Surface Area (TSA) |
|
Cube |
V = s³ |
TSA = 6s² |
|
Cuboid |
V = lbh |
TSA = 2(lb + bh + lh) |
|
Cylinder |
V = πr²h |
TSA = 2πr(r + h) |
|
Sphere |
V = 4/3 πr³ |
TSA = 4πr² |
|
Cone |
V = 1/3 πr²h |
TSA = πr(l + r) (where l is slant height) |
|
Hemisphere |
V = 2/3 πr³ |
TSA = 3πr² |
Also Read | CAT Exam Eligibility 2026: Check Age Limit, Education
These are defined in relation to a right-angled triangle:
Check: CAT Exam Response sheet
Read More: CAT Exam QA Syllabus
Below is a neatly structured table listing popular formula books for CAT preparation, categorised by section
Formula Books for CAT 2026 Preparation
|
The Quantitative section of the CAT exam includes approximately 22 questions covering the mentioned topics. To excel in CAT 2026 with a good score and percentile, the CAT aspirants ensure to practice all the important Formulas For CAT exam described in this blog.
Remember. mastering these C AT important formulas will enhance your problem-solving speed and accuracy. Additionally, check out the preparation tips provided for the CAT entrance exam to refine your strategy and approach
Also Read | CAT Exam Scores
Frequently Asked Questions
What are the most important formulas for CAT Quantitative Ability?

How can I remember all the formulas for the CAT exam?

Are there shortcuts or tricks for using formulas in CAT?

Do I need to know formulas for all sections of CAT?

What is the formula for TSD in CAT?

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