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CAT Formula Sheet 2024 PDF: Download Here for Free

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.

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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.
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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.

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)

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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:

  1. loga (xy) = loga x + loga y
  2. loga (x/y) = loga x – loga y
  3. logx x = 1
  4. loga 1 = 0
  5. loga (xn) = n(loga x)
  6. 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:

  1. Percentage Change = New Value - Old Value ×100

                                                          Old Value

  1. Percentage Decrease = (Original value-Decreased Value)/Original Value × 100
  2. What percentage of x is y: (y/x) × 100
  3. Increase N by S % = N( 1+ S/100)
  4. 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:

  1. n( A ∪ B ) = n(A) +n(B) – n (A ∩ B)
  2. n(A∪B)=n(A)+n(B) {when A and B are disjoint sets}
  3. n(U)=n(A)+n(B)–n(A∩B)+n((A∪B)c)
  4. n(A∪B)=n(A−B)+n(B−A)+n(A∩B)
  5. n(A−B)=n(A∩B)−n(B)
  6. n(A−B)=n(A)−n(A∩B)
  7. n(Ac)=n(U)−n(A)
  8. 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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