Important Formulas for CAT Exam 2025: Topic Wise Formulas for Quant, DI & LR

Preparing for CAT 2025 requires not just practice but also quick recall of essential formulas across multiple Quant, DI, LR, and Geometry topics. Mastering these formulas can significantly reduce calculation time and improve accuracy under exam pressure. Key areas include Number System, Profit & Loss, Time, Speed, Distance & Work, Percentage, Simple & Compound Interest, Mensuration, Geometry, and Trigonometry. For Geometry, formulas for triangles, circles, quadrilaterals, polygons, and 3D shapes are crucial. Understanding mensuration formulas for both 2D and 3D shapes allows efficient problem-solving in direct questions and DI sets. Trigonometry formulas, including ratios, identities, and angle sum/difference rules, help tackle high-weight Quant problems.

Additionally, referring to reputed formula books like Arun Sharma’s Quantitative Aptitude for CAT, Sarvesh Verma’s Quantum CAT, Nishit K. Sinha’s Logical Reasoning and Data Interpretation for CAT, and Norman Lewis’s Word Power Made Easy provides structured practice, shortcuts, and tricks to strengthen concepts and enhance speed.

Important Formulas for CAT 2025: Number System

Mastering the number system is a crucial step for success in CAT Quant. A clear understanding of these formulas not only saves time during problem-solving but also strengthens your basics. Below is a list of the most important formulas every aspirant should remember:

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)

Important Formulas for CAT 2025: Profit & Loss

Profit and Loss are a key topic in CAT Quant and are often tested in the exam. Knowing the essential formulas allows you to perform calculations faster and minimize mistakes under exam pressure. Below is a simple list of the most important formulas you should revise:

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) x 100
4	Loss Percentage = (Loss / Cost Price) x 100
5	Selling Price = (100 + Profit%) / 100 x Cost Price
6	Selling Price = (100 - Loss%) / 100 x Cost Price
7	Cost Price = 100 / (100 + Profit%) x Selling Price
8	Cost Price = 100 / (100 - Loss%) x Selling Price
9	Discount = Marked Price - Selling Price
10	Discount Percentage = (Discount / Marked Price) x 100

Crucial Formulas for CAT 2025: Time, Distance, Speed & Work

Time, Speed, Distance, and Work are fundamental areas in CAT Quant where accuracy and speed matter the most. Memorizing these formulas will help you tackle tricky problems quickly and with confidence. Below is a list of the most useful formulas to revise:

Category	Formulas
Speed	Speed = Distance ÷ Time
Distance	Distance = Speed x 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

Important Formulas for CAT 2025: Percentage

Percentage-based questions are a common feature in CAT Quant and Data Interpretation. A strong command of these formulas will help you solve problems faster and minimize calculation errors. Below are the key percentage formulas you should remember:

S.No.	Formulas
1	Percentage = (Part ÷ Whole) x 100
2	Percentage Increase = [(New Value - Old Value) ÷ Old Value] x 100
3	Percentage Decrease = [(Old Value - New Value) ÷ Old Value] x 100
4	Profit Percentage = (Profit ÷ Cost Price) x 100
5	Loss Percentage = (Loss ÷ Cost Price) x 100
6	Markup Percentage = (Markup ÷ Cost Price) x 100
7	Discount Percentage = (Discount ÷ Marked Price) x 100

CAT Important Formulas 2025: Time and Work

Time and Work is a scoring topic in CAT Quant. Questions usually involve efficiency, rate of work, or combined efforts of multiple people. By remembering the following formulas, you can solve such problems faster and with higher accuracy.

S.No.	Formulas
1	Work Done = Time Taken x 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 = M₂D₂H₂W₁ (Men–Days–Hours–Work relation)

Important Formulas for CAT Exam 2025: Simple and Compound Interest

Interest is one of the most common topics in CAT Arithmetic. It deals with how money grows over time, either in a simple linear manner (Simple Interest) or exponentially (Compound Interest). Knowing these formulas will help you solve problems faster and avoid lengthy calculations.

S.No.	Formulas
1	Simple Interest (SI) = (P x R x T) ÷ 100
2	Amount in SI = P + SI
3	Compound Interest (Annual) = P [(1 + R/100) ᵀ - 1]
4	Amount in CI (Annual) = P (1 + R/100) ᵀ
5	Compound Interest (Periodic, n times a year) = P [(1 + R/n) ⁿᵗ - 1]
6	Amount in CI (Periodic) = P (1 + R/n) ⁿᵗ

Important Formulas for CAT Exam 2025: Mensuration

Mensuration is an important part of CAT Quant. It includes formulas for areas, perimeters, volumes, and surface areas of different shapes. These formulas are frequently tested in both direct geometry questions and Data Interpretation set.

CAT Important Formulas for 2D Shapes

2D mensuration questions in CAT often involve calculating areas and perimeters of basic shapes. Remembering these standard formulas will help you solve geometry and DI problems with speed and accuracy.

Shapes	Formula for Area (A)	Formula for Perimeter (P)
Square	A = s²	P = 4s
Rectangle	A = l x b	P = 2(l + b)
Triangle	A = ½ x b x h	P = a + b + c
Circle	A = πr²	P = 2πr or πd
Parallelogram	A = b x h	P = 2(l + b)
Trapezium	A = ½ (a + b) h	P = a + b + c + d

CAT Important Formulas for 3D Shapes

3D mensuration questions in CAT often involve calculating the volume and surface area of solids. Memorizing these formulas will help you solve geometry problems efficiently and accurately.

Shapes	Formula for Volume (V)	Formula for Total Surface Area (TSA)
Cube	V = s³	TSA = 6s²
Cuboid	V = l x b x h	TSA = 2(lb + bh + lh)
Cylinder	V = πr²h	TSA = 2πr (r + h)
Sphere	V = ⁴/₃ πr³	TSA = 4πr²
Cone	V = ⅓ πr²h	TSA = πr (l + r), l = slant height
Hemisphere	V = ⅔ πr³	TSA = 3πr²

Important Geometry Formulas for CAT Exam 2025

Geometry is a key component of CAT Quant. Questions can involve triangles, circles, quadrilaterals, polygons, and 3D shapes. Learning and remembering these formulas will enable you to solve questions efficiently and with greater accuracy.

CAT 2025 Triangle & Circle Formulas

In CAT Quant, geometry questions on triangles and circles are common, and having the key formulas ready can save valuable time during the exam. The table below summarizes the most important formulas related to triangles and circles that every CAT aspirant should memorize for quick and accurate problem-solving.

Topic	Formula
Area of Triangle	½ x Base x Height
Heron’s Formula	A = √ [s (s − a) (s − b) (s − c)], where s = (a + b + c)/2
Pythagoras Theorem	a² + b² = c² (for right-angled triangle)
Equilateral Triangle Area	(√3 / 4) x a²
Circumference of Circle	2πr
Area of Circle	πr²
Length of Arc	(θ / 360) x 2πr
Area of Sector	(θ / 360) x πr²

CAT 2025 Quadrilaterals Formulas

Quadrilaterals are a fundamental part of CAT Quant geometry questions. Knowing the essential formulas for their area and perimeter can help solve problems quickly and accurately. The following table presents the essential formulas for various quadrilateral shapes.

Topic	Formula
Area of Rectangle	Length x Breadth
Perimeter of Rectangle	2 x (L + B)
Area of Square	a²
Perimeter of Square	4a
Area of Parallelogram	Base x Height
Area of Rhombus	½ x d₁ x d₂

CAT 2025 Polygons Formulas

Polygons often appear in CAT Quant questions, and having a clear understanding of their angle properties can save time during calculations. The table below presents the essential formulas related to polygons that every CAT aspirant should know.

Topic	Formula
Sum of Interior Angles	(n − 2) x 180°
Each Interior Angle (Regular Polygon)	[(n − 2) x 180] / n
Each Exterior Angle (Regular Polygon)	360 / n

CAT 2025 3D Geometry Formulas

3D Geometry is an important topic in CAT Quant, and understanding the formulas for surface area and volume of solids can make solving questions much faster. The table below summarizes the key formulas for spheres, cylinders, and cones that every aspirant should memorize.

Topic	Formula
Surface Area of Sphere	4πr²
Volume of Sphere	⁴/₃ πr³
Surface Area of Cylinder	2πr (h + r)
Volume of Cylinder	πr²h
Surface Area of Cone	πr (l + r), l = slant height
Volume of Cone	⅓ πr²h

CAT Important Formulas 2025 for Trigonometry

Trigonometry is a crucial topic in the CAT exam, often carrying significant weight in the Quantitative Ability section. Understanding key formulas helps in solving problems quickly and accurately. Below is a concise list of essential trigonometric formulas you must remember for CAT 2025.

Topic	Formulas / Details
1. Basic Trigonometric Ratios	Defined for a right-angled triangle: Sine (sin) = Opposite / Hypotenuse Cosine (cos) = Adjacent / Hypotenuse Tangent (tan) = Opposite / Adjacent Cosecant (csc) = Hypotenuse / Opposite Secant (sec) = Hypotenuse / Adjacent Cotangent (cot) = Adjacent / Opposite
2. Pythagorean Identities	sin²θ + cos²θ = 1 1 + tan²θ = sec²θ 1 + cot²θ = csc²θ
3. Trigonometric Functions of Negative Angles	sin(-θ) = -sinθ cos(-θ) = cosθ tan(-θ) = -tanθ csc(-θ) = -cscθ sec(-θ) = secθ cot(-θ) = -cotθ
4. Angle Sum and Difference Formulas	sin (A + B) = sinA cosB + cosA sinB sin (A - B) = sinA cosB - cosA sinB cos (A + B) = cosA cosB - sinA sinB cos (A - B) = cosA cosB + sinA sinB tan (A + B) = (tanA + tanB) / (1 - tanA tanB) tan (A - B) = (tanA - tanB) / (1 + tanA tanB)

Best Formula Books for CAT 2025 Preparation

For aspirants aiming to crack CAT 2025, having the right formula books can make a huge difference. These books not only cover essential formulas but also provide tricks, shortcuts, and practice questions to help strengthen your concepts. Below is a neatly structured table listing some of the most popular and effective formula books for CAT preparation, organized by section.

Section	Book Title	Author/Publisher	Highlights
Quantitative Aptitude	Quantitative Aptitude for CAT	Arun Sharma (TMH)	Detailed formula coverage with solved examples and practice questions.
Quantitative Aptitude	Quantum CAT	Sarvesh K. Verma	Advanced-level formulas, tricks, and shortcut techniques.
Data Interpretation & LR	Logical Reasoning and Data Interpretation for CAT	Nishit K. Sinha (Pearson)	Techniques and structured approach to DILR questions.
VARC / Vocabulary	Word Power Made Easy	Norman Lewis	Vocabulary building through word roots and practical usage.

Read More:

• CAT Exam 2025
• CAT Eligibility Criteria 2025
• CAT Exam Pattern

Frequently Asked Questions

Why are formulas important for CAT 2025 preparation? +

Ans: Formulas act as shortcuts that save time and reduce errors during the exam. In CAT Quant, DI, and LR sections, most problems can be solved faster if you remember the right formula instead of re-deriving it. For example, knowing the direct formula for the sum of cubes or compound interest avoids lengthy calculations. Since CAT is a time-bound exam, strong formula recall boosts both speed and accuracy, giving you an edge over competitors.

How should I memorize CAT formulas effectively? +

Ans: Simply reading formulas is not enough; you need an active learning strategy. Break formulas into topic-wise flashcards, revise them daily, and apply them to practice questions. Writing them repeatedly, solving problems directly with formulas, and linking them with real-life examples (like percentages in shopping discounts or speed-distance in travel) helps in retention. Many toppers also recommend creating a formula notebook to revise before mocks and the final exam.

What is the best way to revise CAT formulas before the exam? +

Ans: In the last 30–45 days before CAT, revision should be quick and structured. Maintain a formula sheet or notebook where you list all key formulas topic-wise. Revise them daily for 15–20 minutes and then apply them in practice questions. Mock tests are crucial for formula revision because they simulate exam pressure, forcing you to recall and apply formulas instantly.

Which formula books are best for CAT 2025 preparation? +

Ans: Some highly recommended books include:

• Arun Sharma’s Quantitative Aptitude for CAT – Covers almost all formulas with examples.
• Sarvesh Verma’s Quantum CAT – Best for advanced practice and shortcuts.
• Nishit K. Sinha’s DI & LR – Focuses on formula application in DI sets.
• Norman Lewis’s Word Power Made Easy – Helpful for VARC vocabulary building.
• These books not only list formulas but also provide tricks, solved problems, and practice sets for better application.

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