50+ Important Formulas for CAT 2025 Preparation: Topic-Wise Formulas
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!
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!
Also Read:
Important CAT 2025 Formulas for Algebra
Topic | Formula |
Square of a + b |
|
Square of a + b + c | (a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca) |
Cube of a + b |
|
Root Formula | (a+b)n = an + nC1 an – 1 b + nC2 an – 2 b2 + ..... nCx an – x bx + ....... bn |
Important CAT 2025 Formulas for Number System
(12 + 22 + 32 + ….. + n2) = n ( n + 1 ) (2n + 1) / 6 | 1 + 2 + 3 + 4 + 5 + … + n = n(n + 1)/2 |
(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) |
Important CAT 2025 Formulas for Permutation and Combination
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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
Topic | Formula |
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
Topic | Formula |
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
Topic | Formula |
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
Topic | Formula |
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: |
|
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
Topic | Formula |
| 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
|
Important CAT 2025 Formulas for Trigonometry
Topic | Formula |
| Trigonometric Formulas |
|
| Trigonometric Identities |
|
| The reciprocal identities |
|
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)]
Best Formula Books for CAT Preparation 2025
The best formula books for CAT 2025 preparation have been tabulated below.
Section | Book Title | Author/Publisher |
Data Interpretation & LR | Logical Reasoning and Data Interpretation for CAT | Nishit K. Sinha (Pearson) |
Quantitative Aptitude | Quantitative Aptitude for CAT | Arun Sharma (TMH) |
VARC / Vocabulary | Word Power Made Easy | Norman Lewis |
Quantitative Aptitude | Quantum CAT | Sarvesh K. Verma |
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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