# Important Formulas For CAT Exam 2024: Topic Wise Formulas

Author : Lalita Vishwakarma

August 29, 2024

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Overview: What are the essential formulas for CAT exam 2024? Is the Quantitative section of the CAT exam tough? Read on to know the complete details.

• The Common Admission Test, or CAT 2024, is the toughest MBA entrance exam and a major gateway to the top management colleges in India
• The quantitative section of the CAT exam covers various topics, such as Arithmetic, Algebra, Geometry, Number Systems, and Miscellaneous.
• It is very important to learn the Important Formulas for CAT Exam 2024, along with tricks and tips.

So, continue reading to learn the most important formulas for CAT Exam 2024 with us!

Also Read | CAT 2024 Registration Begins: Apply Before 13 September 2024

## What are the Important Formulas for CAT Exam 2024?

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 formulas 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

## Important Formulas for CAT Exam 2024: Number System

 Description Formula 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 2024: Exam Pattern, Syllabus for Quantitative Aptitude

## Important Formulas for CAT Exam 2024: Profit & Loss

 S.No. Formula 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

Check | How To Prepare For CAT Exam 2024?

## Important Formulas for CAT Exam 2024: Time, Distance, Speed & Work

 Category Formula 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

## Important Formulas for CAT Exam 2024: Percentage

 S.No. Formula 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

## Important Formulas for CAT Exam 2024: Time and Work

 S.No. Formula 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 2024

Also Read | CAT Exam Eligibility 2024: Check Age Limit, Education

## Important Formulas for CAT Exam 2024: Simple and Compound Interest

 S.No. Formula 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)

## Important Formulas for CAT Exam 2024: Mensuration

### Formulas for 2D Shapes

 Shape 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 2024

Formulas for 3D Shapes

 Shape 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 | What is the CAT Exam Success Rate?

## Important Formulas for CAT Exam 2024: Trigonometry

### 1.Basic Trigonometric Ratios

These are defined in relation to a right-angled triangle:

• Sine (sin): Opposite side / Hypotenuse
• Cosine (cos): Adjacent side / Hypotenuse
• Tangent (tan): Opposite side / Adjacent side
• Cosecant (csc): Hypotenuse / Opposite side
• Secant (sec): Hypotenuse / Adjacent side
• Cotangent (cot): Adjacent side / Opposite side

### 2. Pythagorean Identities

• sin²θ + cos²θ = 1
• 1 + tan²θ = sec²θ
• 1 + cot²θ = csc²θ

Check: CAT Exam Response sheet

### 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) = sinAcosB + cosAsinB
• sin(A - B) = sinAcosB - cosAsinB
• cos(A + B) = cosAcosB - sinAsinB
• cos(A - B) = cosAcosB + sinAsinB
• tan(A + B) = (tanA + tanB) / (1 - tanA tanB)
• tan(A - B) = (tanA - tanB) / (1 + tanA tanB)

## Conclusion

The Quantitative section of the CAT exam asks about 22 questions from the above-mentioned sections. Practice all the formulas described in this blog to ace CAT 2024 with a good score and percentile. Further, check out the preparation tips for the CAT entrance exam here!

Also Read | Important Formulas For CAT Exam 2024

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