CAT 2025 Important Quant Formulas: Preparing for the CAT 2025 Quant section can feel challenging with so many formulas spread across different topics. To help you revise smarter, we have compiled all the important CAT Quant formulas- from Arithmetic and Algebra to Geometry and Modern Maths- in one place.
This blog is your one-stop guide to all the essential formulas you’ll need during preparation and mocks. It’s simple, concise, and designed to help you solve faster and avoid calculation errors in the exam.
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Table of Contents
CAT 2025 Quant Formula PDFs – All Topics in One Place
To make your preparation easier, we have compiled all the important CAT Quant formulas topic-wise, so you can download, revise, and practice them anytime with a single click.
| CAT Quant Topic-wise Formulas | Download Link |
| Geometry & Mensuration | Download Now |
| Time, Speed, Distance & Work | Download Now |
| Number System | Download Now |
| Ratio & Proportion | Download Now |
| Logarithms, Surds & Indices | Download Now |
| Permutation & Combination | Download Now |
| Simple & Compound Interest | Download Now |
| Profit, Loss & Discount | Download Now |
| Algebra & Progressions | Download Now |
| Probability & Set Theory | Download Now |
For a complete overview of key topics and weightage in CAT Quant, check out our detailed CAT Quantitative Aptitude Syllabus 2025 page.
Also Read – CAT 2025 Quant Last Minute Strategies
Important Quant Formulas for CAT 2025 – Arithmetic, Algebra, Geometry & More
Here is a complete list of CAT 2025 Quant formulas, organised topic-wise for quick and effective revision.
Number System Formulas
- (aⁿ × bⁿ) = (ab)ⁿ
- aⁿ ÷ aᵐ = aⁿ⁻ᵐ
- a⁰ = 1 (for a ≠ 0)
- Divisibility rule for 2, 3, 4, 5, 6, 8, 9, 11 – must-know for CAT basic arithmetic.
- HCF × LCM = Product of the numbers
Ratio & Proportion
- a : b = x : y ⇒ a/b = x/y
- a : b = m : n ⇒ a = km, b = kn
- Compound Ratio = (a × c) : (b × d)
- Componendo & Dividendo: (a + b)/(a – b) = (c + d)/(c – d)
Percentages
- Percentage = (Value / Total Value) × 100
- Increase/Decrease:
Final Value = Initial × (1 ± R/100) - Successive change = a + b + (ab/100)
- A is R% more than B ⇒ B is (100R / (100 + R))% less than A
Profit, Loss & Discount
- Profit = SP – CP
- Loss = CP – SP
- Profit % = (Profit / CP) × 100
- Discount % = (Discount / MP) × 100
- SP (with profit) = CP × (1 + P/100)
- SP (with loss) = CP × (1 – L/100)
- Equal gain and loss % on same CP ⇒ Overall Loss % = (x² / 100)
Simple & Compound Interest
- SI = (P × R × T) / 100
- CI = P × (1 + R/100)ᵗ – P
- Population formula: Pₙ = P × (1 + R/100)ⁿ
- Difference between CI & SI (for 2 years) = P × (R/100)²
Time, Speed & Distance
- Speed = Distance / Time
- Distance = Speed × Time
- Time = Distance / Speed
- Average speed (equal distances) = (2xy) / (x + y)
- Relative speed (same direction) = x – y
- Relative speed (opposite direction) = x + y
- Boat and Stream:
Downstream speed = B + R
Upstream speed = B – R
Time & Work
- Work = Rate × Time
- If A can do a job in x days ⇒ A’s 1 day work = 1/x
- Combined work:
(A + B)’s 1 day work = (1/x + 1/y) - Total time = xy / (x + y)
- Work efficiency ∝ 1 / Time
Algebra & Equations
- (a + b)² = a² + 2ab + b²
- (a – b)² = a² – 2ab + b²
- (a + b + c)² = a² + b² + c² + 2(ab + bc + ca)
- (a³ + b³) = (a + b)(a² – ab + b²)
- Quadratic Equation: ax² + bx + c = 0
- Roots = [–b ± √(b² – 4ac)] / 2a
- Sum of roots = –b/a, Product of roots = c/a
Progressions
- AP nth term = a + (n–1)d
- Sum of n terms of AP = (n/2)[2a + (n–1)d]
- GP nth term = arⁿ⁻¹
- Sum of n terms of GP = a(rⁿ – 1)/(r – 1)
- HP nth term = 1 / [a + (n–1)d]
Geometry
Triangles
- Area = ½ × base × height
- Heron’s formula = √[s(s–a)(s–b)(s–c)]
- Pythagoras: a² + b² = c²
Circle
- Area = πr²
- Circumference = 2πr
Rectangle/Square
- Area = l × b, Perimeter = 2(l + b)
- Area (square) = a²
Polygon
- Sum of interior angles = (n – 2) × 180°
Mensuration
- Cube: Volume = a³ ; TSA = 6a²
- Cuboid: Volume = l × b × h ; TSA = 2(lb + bh + hl)
- Cylinder: Volume = πr²h ; CSA = 2πrh
- Cone: Volume = (1/3)πr²h ; Slant height = √(r² + h²)
- Sphere: Volume = (4/3)πr³ ; CSA = 4πr²
Logarithms & Indices
- logₐ(xy) = logₐx + logₐy
- logₐ(x/y) = logₐx – logₐy
- logₐxᵇ = b × logₐx
- logₐ1 = 0 ; logₐa = 1
- Change of base: logₐb = log_cb / log_ca
Permutation, Combination & Probability
Permutation: nPr = n! / (n–r)!
Combination: nCr = n! / [r!(n–r)!]
Relationship: nCr + nC(r–1) = n+1Cr
Probability:
P(E) = (Favourable outcomes) / (Total outcomes)
P(E’) = 1 – P(E)
Also Read: CAT 2023 Question Paper PDF | CAT 2024 Question Paper PDF
How to Use These Formulas
Don’t just memorise, practice applying them in mocks.
Create a one-page cheat sheet for every major topic and revise it weekly. Over time, these formulas will come naturally, saving you valuable seconds in the exam.
Conclusion
Quant formulas are the backbone of CAT problem-solving. Knowing them will help you recall concepts faster and apply them confidently during the exam.
Keep revising these formulas regularly and focus your practice around the High Weightage QA Topics to get the best results in CAT 2025.
Also Check – CAT 2025 Admit Card Release Date
Frequently Asked Questions
Q: How many formulas should I remember for CAT Quant?
A: Around 100-120 key formulas across Arithmetic, Algebra, and Geometry are enough. Focus on application, not just memorisation.
Q: Is memorising formulas enough for CAT?
A: No. Understand how and when to use them; CAT tests logic more than rote learning.
Q: What’s the best way to revise Quant formulas?
A: Keep a formula notebook, or you can use our PDF, revise in short bursts daily, and test them through sectional quizzes or mocks.
