CAT Formula Sheet 2024 PDF: Download Here for Free

Updated On: August 14, 2024 06:25 pm IST

The CAT formula sheet 2024 PDF will comprise the most important formulas, equations, and concepts that will help you ace the quant section of the CAT 2024 exam. Candidates will be able to solve many questions effectively using these formulae and basic math aptitude.

Table of Contents

CAT Formula Sheet 2024 PDF
Important Formulas for CAT Quant 2024
Faqs

The CAT formula sheet 2024 PDF will enable the candidates aiming to take the CAT 2024 exam to master the formulas to gain an edge over others and make them efficient enough to tackle even the trickiest questions accurately. It is a comprehensive compilation of key mathematical formulas, equations, concepts, and shortcuts that serves as a quick reference guide for CAT aspirants, helping them to recall and apply important formulas effectively during their study or practice sessions and while taking the exam as well.

The difficulty level of the CAT quant section has been increasing consistently and this might be challenging for candidates who are weak in math. Hence, it is imperative for them to cover these concepts to strengthen your basics and then move on to the advanced-level questions. The CAT formula sheet PDF will cover important concepts from Linear equations and inequalities, Quadratic equations, Polynomials, Percentages, Averages, Ratio and Proportion, Logs, HCF & LCM, triangles, circles, polygons, probability, etc. among others.

Also Read:

CAT 2024 Weekly Schedule from Aug to Nov	CAT Predicted Question Paper 2024
50+ Important Formulas for CAT 2024 Preparation	Important Topics for CAT 2024

CAT Formula Sheet 2024 PDF

Important topics for CAT Quant 2024 include Percentages, Profit, Loss, and Discount, Simple and Compound Interest, Ratio and Proportion, Averages, etc. under Arithmetic; Linear Equations, Quadratic Equations, Logarithms, etc. under Algebra; Triangles, Circles, Polygons, Coordinate Geometry, etc. under Geometry and Mensuration; Permutation and Combination; HCF and LCM; Area and Perimeter, etc. among others. Go through the PDF provided below to learn the important formulas that will help you ace the CAT exam 2024.

CAT Formula Sheet 2024 PDF Download

Important Formulas for CAT Quant 2024

CAT formulas are an indispensable part of the exam since they help in enhancing their problem-solving skills, enhancing their accuracy, and ensure an overall better performance in the exam. Candidates can employ the formulas provided below to derive the answers to complex problems.

Topic	Formula
Number Systems	1 + 2 + 3 + 4 + 5 + … + n = n(n + 1)/2 (1² + 2² + 3² + ….. + n²) = n ( n + 1 ) (2n + 1) / 6 (1³ + 2³ + 3³ + ….. + n³) = (n(n + 1)/ 2)² Sum of first n odd numbers = n² Sum of first n even numbers = n (n + 1)
Algebra	(a – b)² = (a² + b² – 2ab) (a + b)² = (a² + b² + 2ab) (a + b)(a – b) = (a² – b²) (a + b + c)² = a² + b² + c² + 2(ab + bc + ca) (a³ – b³) = (a – b)(a² + ab + b²) (a³ + b³) = (a + b)(a² – ab + b²) (a³ + b³ + c³ – 3abc) = (a + b + c)(a² + b² + c² – ab – bc – ac) When a + b + c = 0, then a³ + b³ + c³ = 3abc (a + b)n = an + (nC1)an-1 b + (nC2)an-2 b² + … + (nCn-1)abn-1 + bn
Percentage	Percentage Change = New Value - Old Value ×100 Old Value Percentage Decrease = (Original value-Decreased Value)/Original Value × 100 What percentage of x is y: (y/x) × 100 Increase N by S % = N( 1+ S/100) Decrease N by S % = N (1 – S/100)
Profit, Loss & Discount	Profit (or) Gain = SP – CP Profit % = (Profit/CP) × 100 SP = (100 + gain % )/100 × CP CP = 100/(100 + gain %) × SP Loss = CP – SP Loss % = Loss/(CP) × 100 SP = (100 – loss %)/100 × CP CP = 100/(100 – loss %) × SP
HCF & LCM	HCF × LCM = Product of the two numbers LCM of co-prime numbers = Product of the numbers HCF of co-prime numbers = 1 HCF of two numbers a and b = HCF of (a-b, b) LCM of two numbers a and b = (a x b) / HCF(a, b). HCF of three numbers a, b, and c = HCF of (HCF(a, b), c)
Speed, Time, and Distance	Distance = Speed × Time Time = Distance/Speed Speed= Distance/Time Average Speed = (Total distance travelled) / (Total time taken)
Time and Work	If A can do a piece of work in n days, then A’s 1 day’s work = 1/n If A’s 1 day’s work =1/n, then A can finish the work in n days
Averages	Sum of observations / Number of observations
Mixture & Alligation	Rule of Alligation: If two ingredients are mixed, then (Quantity of cheaper / Quantity of dearer) = (C.P. of dearer – Mean Price / Mean price – C.P. of cheaper)
Trigonometry	cosec θ = 1/sin θ sec θ = 1/ cos θ cot θ = 1/tan θ sin θ = 1/cosec θ cos θ = 1/sec θ tan θ = 1/cot θ
Coordinate Geometry	Distance Between two Points A(x1, y1) and B(x2, y2): AB² = (x2 – x1)² + (y2 – y1)²
Probability	P(E) = n(E) / n(S)

Related Links:

How to Approach CAT 2024 Question Paper?	Importance of CAT 2024 Mock Test
How to Prepare for CAT 2024 QA	CAT 2024 Preparation Tips for Non Engineering Students

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FAQs

What is the formula for Mixture and Alligation in CAT?

The formula for Mixture and Alligation in CAT is the following:

Quantity of cheaper / Quantity of dearer) = (C.P. of dearer – Mean Price / Mean price – C.P. of cheaper)

What are some of the basic Logarithm formulas for CAT?

Some of the basic Logarithm formulas for CAT are as follows:

loga (xy) = loga x + loga y
loga (x/y) = loga x – loga y
logx x = 1
loga 1 = 0
loga (xn) = n(loga x)
loga x = 1/(logx a)

loga x = (logb x)/(logb a) = (log x)/(log a)

What is the advantage of using CAT formulas Cheat Sheet pdf?

You will be able to build a strong foundation in quantitative aptitude by understanding and memorizing formulas and answering questions rapidly by implementing the formulas without spending extra time deriving them.

What is the formula for Percentage for the CAT exam?

The formulas for Percentage for the CAT exam are as follows:

Percentage Change = New Value - Old Value ×100

Old Value

Percentage Decrease = (Original value-Decreased Value)/Original Value × 100
What percentage of x is y: (y/x) × 100
Increase N by S % = N( 1+ S/100)
Decrease N by S % = N (1 – S/100)

What are some Set Theory formulas for CAT?

Some Set Theory formulas for CAT are as follows:

n( A ∪ B ) = n(A) +n(B) – n (A ∩ B)
n(A∪B)=n(A)+n(B) {when A and B are disjoint sets}
n(U)=n(A)+n(B)–n(A∩B)+n((A∪B)c)
n(A∪B)=n(A−B)+n(B−A)+n(A∩B)
n(A−B)=n(A∩B)−n(B)
n(A−B)=n(A)−n(A∩B)
n(Ac)=n(U)−n(A)
n(PUQUR)=n(P)+n(Q)+n(R)–n(P⋂Q)–n(Q⋂R)–n(R⋂P)+n(P⋂Q⋂R)

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