50+ important formulas for CAT 2025 preparation mostly include formulas from common CAT QA topics like profit and loss, algebra, number system, percentages, etc. Learning these formulas can help you speed up your problem-solving skills for CAT 2025!
- Important Formulas in CAT 2025 Preparation
- Important CAT 2025 Formulas for Algebra
- Important CAT 2025 Formulas for Number System
- Important CAT 2025 Formulas for Permutation and Combination
- Important CAT 2025 Formulas for Percentages
- Important CAT 2025 Formulas for Averages
- Important CAT 2025 Formulas for Simple Interest and Compound Interest
- Important CAT 2025 Formulas for Profit, Loss and Discount
- Important CAT 2025 Formulas for HCF and LCM
- Important CAT 2025 Formulas for Set Theory & Function
- Important CAT 2025 Formulas for Logarithms
- Important CAT 2025 Formulas for Surds and Indices
- Important CAT 2025 Formulas for Time, Speed, and Distance
- Important CAT 2025 Formulas for Boats and Streams
- Important CAT 2025 Formulas for Mixtures and Alligations
- Important CAT 2025 Formulas for Trigonometry
- Important CAT 2025 Formulas for Mensuration
- Important CAT 2025 Formulas for Probability
- Important CAT 2025 Formulas for Coordinate Geometry
- How to Remember Important Formulas for CAT 2025?
- Faqs
50+ formulas for CAT 2025 preparation cover topics like profit and loss, algebra, number system, permutation & combination, percentages, etc. It is essential that every candidate be aware of several key CAT formulas aside from these topics for CAT 2025 exam preparation. CAT formulas are mostly relevant to the Quantitative Aptitude section, which includes Maths topics. Strategies mentioned in the CAT 2025 preparation tips in addition to these important formulas can help you perform better in the exam. There are many formula-based questions in CAT 2025 where all you need to do is use a formula to reach the answer. You must learn all the formulas mentioned here to the best of your abilities to ensure a stellar performance in CAT 2025!
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Important Formulas in CAT 2025 Preparation
There are a number of important formulas in CAT preparation 2025 that you must become fluent in. All of the formulas used in CAT are from up to the Class 12th level. You must already be familiar with these formulas from their school days. However, since there is at least a 3 to 4-year gap between Class 12th and CAT preparation, it becomes easy to forget these formulas. Hence, it makes sense to regularly revise and practice using formulas when solving CAT questions. Before moving on further, here is a quick glance at the revised exam pattern of CAT 2025.
Section | No. of Questions | Time |
|---|---|---|
Verbal Ability & Reading Comprehension | 24 | 40 minutes |
Data Interpretation & Logical Reasoning | 20 | 40 minutes |
Quantitative Ability | 22 | 40 minutes |
TOTAL | 66 | 120 minutes |
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The QA section of CAT 2025 includes many topics such as Percentages, Ratio & Proportion, Profit & Loss, HCF & LCM, Mensuration, Geometry, etc. Here are some important formulas to remember for each topic.
Important CAT 2025 Formulas for Algebra
Square of a + b
(a + b)(a – b) = (a 2 – b 2 )
(a + b) 2 = (a 2 + b 2 + 2ab)
(a – b) 2 = (a² + b² – 2ab)
Square of a + b + c
(a + b + c) 2 = a 2 + b 2 + c 2 + 2(ab + bc + ca)
Cube of a + b
(a + b) 3 = a 3 + 3a 2 b + 3ab 2 + b 3
(a – b) 3 = a 3 – 3a 2 b + 3ab 2 – b 3
(a 3 + b 3 ) = (a + b)(a 2 - ab + b 2 )
(a 3 – b 3 ) = (a – b)(a 2 + ab + b 2 )
(a 3 + b 3 + c 3 – 3abc) = (a + b + c)(a 2 + b 2 + c 2 – ab – bc – ac)
When a + b + c = 0, then a 3 + b 3 + c 3 = 3abc
Root Formula
(a+b) n = a n + n C 1 a n – 1 b + n C 2 a n – 2 b 2 + ..... n C x a n – x b x + ....... b n |
|---|
Important CAT 2025 Formulas for Number System
(1 2 + 2 2 + 3 2 + ….. + n 2 ) = n ( n + 1 ) (2n + 1) / 6
1 + 2 + 3 + 4 + 5 + … + n = n(n + 1)/2
(1 3 + 2 3 + 3 3 + ….. + n 3 ) = (n(n + 1)/ 2) 2
Sum of first n odd numbers = n 2
Sum of first n even numbers = n (n + 1)
Important CAT 2025 Formulas for Permutation and Combination
Combination: n C r = n! / (n-r)!r! = n P r / r!
Permutation: n P r = n! / (n-r)!
Important CAT 2025 Formulas for Percentages
Percentage Change = {(Final Value – Initital Value) / Initial Value} x 100
Total Percentage Change for two successive changes of a% and b% = (a + b + ab/100)%
eg. for two successive changes of 10% and 20%, the total percentage change will be = (10 + 20 + 10*20/100)% = 32%
Important Fractions and Their Percentage Values
Fraction | Equivalent Percent | Decimal Value |
|---|---|---|
1/2 | 50% | 0.5 |
1/3 | 33 1 / 3 % | 0.333... |
2/3 | 66 2 / 3 % | 0.666... |
1/4 | 25% | 0.25 |
3/4 | 75% | 0.75 |
1/5 | 20% | 0.2 |
1/6 | 16 2 / 3 % | 0.1666.... |
5/6 | 83 1 / 3 % | .8333... |
1/8 | 12 1 / 2 % | 0.125 |
3/8 | 37 1 / 2 % | 0.375 |
5/8 | 62 1 / 2 % | 0.625 |
7/8 | 87 1 / 2 % | 0.875 |
1/9 | 11 1 / 9 % | 0.111... |
1/10 | 10% | 0.1 |
1/11 | 9 1 / 11 % | 0.999... |
5/11 | 45 5 / 11 % | 0.4545... |
1/12 | 8 1 / 3 % | 0.08333... |
1/16 | 6 1 / 4 % | 0.0625 |
1/25 | 4% | 0.04 |
1/32 | 3 1 / 8 % | 0.03125 |
1/50 | 2% | 0.02 |
Also Read : 15+ CAT 2025 Percentage Questions
Important CAT 2025 Formulas for Averages
Average = Total Sum / Total Number
Weighted Average = (w 1 x 1 + w 2 x 2 + w 3 x 3 .... + w n x n ) / (w 1 + w 2 + ..... + w n)
Important CAT 2025 Formulas for Simple Interest and Compound Interest
Amount = Principle + Interest
Simple Interest = P x r x n
Compound Interest = P(1 + r) n – P
Important CAT 2025 Formulas for Profit, Loss and Discount
Profit = SP – CP
Profit Percentage = (SP – CP)/CP x 100
Loss = CP – SP
Loss Percentage = (CP – SP)/CP x 100
Discount = MP – SP
Discount Percentage = (MP – SP)/MP x 100
Total Discount on successive discounts of a% followed by b% = (a + b – ab/100)%
If articles worth Rs. b are free along with articles worth Rs. a, Discount = y/(x+y) x 100
Important CAT 2025 Formulas for HCF and LCM
HFC of Fractions = (HCF of numerators) / (LCM of denominators)
LCM of Fractions = (LCM of numerators) / (HCF of denominators)
LCM x HCF = Product of Numbers
Also Read :
Important CAT 2025 Formulas for Set Theory & Function
Demorgan’s Law is the basic and most important formula for sets, which is defined as
(A ∩ B) ‘ = A’ U B’ and (A U B)’ = A’ ∩ B’
The relation R⊂A×AR⊂A×A is said to be called:
Reflexive Relation: If a R a ∀∀ a ∈∈ A.
Symmetric Relation: If aRb, then bRa ∀∀ a, b ∈∈ A.
Transitive Relation: If aRb, bRc, then aRc ∀∀ a, b, c ∈∈ A.
If any relation R is reflexive, symmetric, and transitive in a given set A, then that relation is known as an equivalence relation.
Important CAT 2025 Formulas for Logarithms
log x 1 = 0
log x x = 1
log x (mn) = log x m + log x n
log x (m/n) = log x m – log x n
log x a b = b log x a
log x a x = a
log x m = (log y n) x (log a n)
Important CAT 2025 Formulas for Surds and Indices
Important CAT 2025 Formulas for Time, Speed, and Distance
Speed = Distance / Time
1 km/h = 5/18 m/s
1 m/s = 18/5 km/h
Important CAT 2025 Formulas for Boats and Streams
S downstream = S boat + S stream
S upstream = S boat - S stream
Important CAT 2025 Formulas for Mixtures and Alligations
Alligation: It is the rule that enables us to find the ratio in which two or more ingredients at the given price must be mixed to produce a mixture of the desired price.
Mean Price: The cost of a unit quantity of the mixture is called the mean price.
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)
Important CAT 2025 Formulas for Trigonometry
sin A = Perpendicular / Hypoteneuse = a / c
cos A = Base / Hypoteneuse = b / c
tan A = Perpendicular / Base = a / b
cot A = 1 / tan A
sec A = 1 / cos A
cosec A = 1 / sin A
Trigonometric Identities:
Sine=Opposite/Hypotenuse
Cosine=Adjacent/Hypotenuse
Tangent=Opposite/Adjacent
Secant=Hypotenuse/Adjacent
Co−Secant=Hypotenuse/Opposite
Co−Tangent=Adjacent/Opposite
The reciprocal identities:
sinΘ=1/CosecΘ
cosΘ=1/secΘ
tanΘ=1/cotΘ
CosecΘ=1/sinΘ
secΘ=1/cosΘ
cotΘ=1/tanΘ
Important CAT 2025 Formulas for Mensuration
Check out the important formulae for mensuration mentioned below:Plane Figures
Solids
NOTE: (3.14) is an approximation of pi.
Important CAT 2025 Formulas for Probability
Event: Any subset of a sample space is called an event.
The probability of Occurrence of an Event: Let S be the sample and let E be an event.
Therefore, P(E) =n(E) / n(S)
Important CAT 2025 Formulas for Coordinate Geometry
The Distance Between Two Points A and B:
AB 2 = (Bx – Ax) 2 + (By – Ay) 2
The Equation of a Line Using One Point and the Gradient
The equation of a line that has gradient m and which passes through the point (x1, y1) is:
y – y1 = m(x – x1)
The Midpoint of a Line Joining Two Points
The midpoint of the line joining the points (x1, y1) and (x2, y2) is:
- [½(x1 + x2), ½(y1 + y2)]
How to Remember Important Formulas for CAT 2025?
There are various methods, mnemonics, and learning tricks you can use to remember the important formulas. If your basic mathematical concepts are clear, you may even be able to figure out some of the formulas used in CAT 2025 without the need to learn them.
As an example , if we imagine a Cylinder as infinite disks stacked on top of each other, the Curved Surface Area of a Cylinder becomes equal to the Perimeter of the Base Circle times Height. Hence, 2 (3.14) r multiplied by h.
However, the best way to remember important formulas for CAT is to use them in solving questions. Practicing will help you become familiar with important formulas. It will also train you to use these formulas with more speed and accuracy.
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FAQs
Some of the important formulas in CAT algebra include the following:
- (a+b)2=a2+2ab+b2
- (a−b)2=a2−2ab+b2(a - b)^2 = a^2 - 2ab + b^2(a−b)2=a2−2ab+b2
- (a+b)(a−b)=a2−b2(a + b)(a - b) = a2 - b2(a+b)(a−b)=a2−b2
- (a+b+c)2=a2+b2+c2+2ab+2bc+2ca(a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca(a+b+c)2=a2+b2+c2+2ab+2bc+2ca
- ax2+bx+c=0
- log(ab)=log a+log b
While formulas are an integral part of CAT 2025 preparation, it is also crucial to develop logical reasoning, critical thinking, and analytical skills. Understanding the concepts and their applications will allow you to solve problems even if you momentarily forget a specific formula.
Set aside dedicated time for CAT 2025 formula revision regularly. Use flashcards, practice problems, and solve mock tests to reinforce your understanding and memorization of the formulas.
It is essential to not solely rely on memorizing CAT formulas but also develop problem-solving techniques. Understanding the logic and approach behind different types of questions will allow you to apply the appropriate formulas effectively.
Yes, there are several online resources and CAT preparation books that provide comprehensive formula compilations. Some popular books include Arun Sharma's "How to Prepare for Quantitative Aptitude for CAT" and Nishit Sinha's "The Pearson Guide to Quantitative Aptitude for CAT."
Yes, creating a personalized formula sheet can be helpful for CAT preparation 2025. Include formulas that you find particularly important or difficult to remember. Writing them down and reviewing them regularly will aid in reinforcement and familiarity.
Solve a variety of CAT-level problems that require the application of these formulas. Practice from previous years' question papers and CAT preparation books. Additionally, take mock tests to simulate exam-like conditions and enhance your speed and accuracy in utilizing the formulas.
It is crucial to strike a balance between memorizing CAT formulas and understanding their applications. While memorizing helps in quick recall during exams, understanding the underlying concepts and applications will enable you to apply the formulas effectively in problem-solving.
Yes, there are certain mnemonic techniques and patterns that can help in remembering CAT formulas. For example, creating acronyms or using visual imagery can make it easier to recall the formulas during exams.
To memorise and retain CAT formulas, practice regularly and apply the formulas in solving various types of problems. Create flashcards or cheat sheets to revise the formulas frequently. Understand the derivation and logic behind each formula to enhance comprehension and retention.
Some important formulas for CAT preparation 2025 include those related to arithmetic, algebra, geometry, number systems, percentages, profit and loss, time and work, probability, and permutations and combinations.
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