IIMB UG Admission Test (IIMB UGAT) is the gateway to the IIMB UG programs. Out of 3 sections in the exam, the quantitative aptitude section of the test is what a candidate must focus on as it is the main part of the test and it checks mathematically the candidate's knowledge about the NCERT Class XII syllabus school-level mathematics. The syllabus includes topics like arithmetic, algebra, geometry, data interpretation, and reasoning-based quantitative application.
IIMB UG Quantitative Aptitude Overview
The syllabus of the test is framed according to the NCERT curriculum of Classes X to XII, which integrates the important subjects of arithmetic, algebra, and geometry as well as modern mathematics like statistics and functions.
IIMB UG Formulas PDF
The IIMB UG formula sheet is a quick-reference guide that summarizes all the most important and theory-based quantitative aptitude formulas of the IIMB Bangalore UG Admission Test syllabus. Though IIMB does not publish an official formula PDF, candidates preparing for the test can still use the compiled material based on the NCERT mathematics for Classes 10 to 12 to master the fundamentals of arithmetic, algebra, and data interpretation.
Topic | PDF Link |
IIMB UG Ratio & Proportion Formulas | |
IIMB UG Mixtures and Alligations Formulas | |
IIMB UG Profit and Loss, Discount Formulas | |
IIMB UG Simple Interest & Compound Interest Formulas | |
IIMB UG Time, Speed, Distance & Work Formulas | |
IIMB UG Linear Equations Formulas | |
IIMB UG Quadratic Equations Formulas | |
IIMB UG Progressions & Series Formulas | |
IIMB UG Logarithms, Surds & Indices Formulas | |
IIMB UG Geometry Formulas | |
IIMB UG Set Theory and Venn Diagrams Formulas | |
IIMB UG Number System Formulas | |
IIMB UG Remainder Theorems Formulas | |
IIMB UG Permutations and Combinations Formulas | |
Bayes Theorem (Conditional Probability) for IIMB UG | |
IIMB UG Functions Formulas | |
IIMB UG Matrices and Determinants Formulas |
IIMB UG Arithmetic Formulas
1. Ratio and Proportion Formula
Ratio and proportion are fundamental concepts tested in the IIMB UG Admission Test, forming the base for solving problems in mixtures, partnerships, and scaling.
| Concept | Formula |
|---|---|
| Ratio | Ratio of a and b = a/b or a : b |
| Proportion | If a : b = c : d, then a/b = c/d |
| Cross Multiplication | If a : b = c : d, then a × d = b × c |
| Compound Ratio | (a : b) and (c : d) ⇒ (a × c) : (b × d) |
2. Mixtures and Alligations Formula
Mixtures and alligations involve combining two or more ingredients with different values or concentrations.
The rule of alligation helps determine the ratio in which items of different costs or concentrations are mixed.
| Concept | Formula |
|---|---|
| Alligation Rule | Mean Price = (Sum of all quantities × respective prices) ÷ Total quantity |
| Ratio of Quantities (Alligation Rule) | Ratio = (C₂ − M) : (M − C₁) |
3. Profit and Loss Formula
Profit occurs when Selling Price (SP) > Cost Price (CP), and loss occurs when CP > SP.
| Concept | Formula |
|---|---|
| Profit | Profit = SP − CP |
| Loss | Loss = CP − SP |
| Profit % | (Profit ÷ CP) × 100 |
| Loss % | (Loss ÷ CP) × 100 |
| Selling Price (SP) | SP = CP × (1 + Profit% ÷ 100) |
| Cost Price (CP) | CP = (SP × 100) ÷ (100 + Profit%) |
4. Simple and Compound Interest Formula
| Concept | Formula |
|---|---|
| Simple Interest (SI) | SI = (P × R × T) ÷ 100 |
| Amount (A) | A = P + SI |
| Compound Interest (CI) | A = P × (1 + R ÷ 100)^T |
5. Time, Speed, Distance, and Work Formula
| Concept | Formula |
|---|---|
| Speed | Speed = Distance ÷ Time |
| Distance | Distance = Speed × Time |
| Time | Time = Distance ÷ Speed |
| Relative Speed (Same Direction) | ∣S1−S2∣ |
| Relative Speed (Opposite Direction) | S₁ + S₂ |
| Work Relation | Work = Rate × Time |
Also Read, IIMB UG Sample Papers 2025, Exam Pattern, Download PDF
IIMB UG Algebra Formulas
1. Linear Equations Formula
Linear equations contain one or two variables and form the foundation for algebraic reasoning in motion, cost, and relation-based problems.
| Concept | Formula |
|---|---|
| One-Variable Equation | ax + b = 0 ⇒ x = −b ÷ a |
| Two-Variable Equation | a₁x + b₁y = c₁ and a₂x + b₂y = c₂ (Solved using substitution or elimination methods) |
| Graph Form | y = mx + c, where m is the slope and c is the intercept |
2. Inequalities Formula
Inequalities deal with “greater than” or “less than” relationships.
They test reasoning over ranges, ages, and data-based limits.
| Concept | Formula / Rule |
|---|---|
| Sign Rule | Multiplying or dividing both sides of an inequality by a negative number reverses the inequality sign |
| Example | If 3x + 5 > 11 ⇒ x > 2 → multiply by −1 ⇒ −3x − 5 < −11 ⇒ x < 2 |
3. Quadratic Equations Formula
Equations in which variables are raised to the second power.
| Concept | Formula |
|---|---|
| General Form | ax² + bx + c = 0 |
| Roots | x = (−b ± √(b² − 4ac)) ÷ 2a |
| Sum & Product of Roots | α + β = −b ÷ a, αβ = c ÷ a |
| Nature of Roots | If D = b² − 4ac: D > 0 → Real & unequal, D = 0 → Real & equal, D < 0 → Imaginary |
Also Take, Free IIMB UG Mock Tests
IIMB UG Geometry Formulas
Geometry forms a vital part of the Quantitative Aptitude section, testing spatial understanding, shape properties, and problem-solving skills using geometric relations.
| Shape / Concept | Key Formulas |
|---|---|
| Rectangle | Area = l × b ; Perimeter = 2(l + b) |
| Square | Area = a² ; Perimeter = 4a |
| Triangle | Area = (1/2) × base × height |
| Equilateral Triangle | Area = (√3 / 4) × a² |
| Circle | Area = πr² ; Circumference = 2πr |
| Parallelogram | Area = base × height |
| Trapezium | Area = (1/2) × (a + b) × h |
| Pythagoras Theorem | Hypotenuse² = Base² + Height² |
IIMB UG Modern Maths Formulas
Modern Maths includes topics like permutations, combinations, probability, and set theory — essential for analytical reasoning.
| Topic | Key Concepts / Formulas |
|---|---|
| Permutations | nPr = n! ÷ (n − r)! |
| Combinations | nCr = n! ÷ [r!(n − r)!] |
| Probability | P(E) = Favorable outcomes ÷ Total outcomes |
| Set Theory | n(A ∪ B) = n(A) + n(B) − n(A ∩ B) |
| Functions | If f(x) = ax + b → linear ; If f(x) = ax² + bx + c → quadratic |
Also Read, IIM Bangalore UG Eligibility Criteria 2026, Age Limit, Reservation
IIMB UG Quant Preparation and Study Material
To master the IIMB UG quantitative aptitude section, aspirants should revise all NCERT mathematics chapters up to Class 12 and complement them with targeted practice using IIM-type test sets. Begin with concept reinforcement, then transition into speed-based problem-solving.
For IIMB UG study material free aspirants can check out the 5 free IIMB UG Mock test that the aspirants can give to improve their chances to get into the top B school.
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