ISI MS(QMBA) Previous Year Questions (PYQs)

ISI MS(QMBA) previous year questions (pyqs) organised chapter by chapter on MastersUp.

ISI MS(QMBA) Chapter-wise Previous Year Questions (PYQs) 2026

Algebra and Number Theory Past Year Questions

Sets, Relations and Functions

Set Operations, Power Sets and Counting: 2 questions with solutions
Functions: Injectivity, Surjectivity, Images and Preimages: 4 questions with solutions
Inverse Functions and Range of Real Functions: 2 questions with solutions
Fixed Points and Iterates of Continuous Functions: 2 questions with solutions

Sequences, Progressions and Series

Limits, Asymptotics and Convergence of Sequences: 8 questions with solutions
Series, Partial Sums and Cauchy Criteria: 5 questions with solutions
Arithmetic, Geometric and Harmonic Progressions: 9 questions with solutions
Recursive Sequences and Difference Equations: 4 questions with solutions
Geometric Series Applications and Growth Models: 4 questions with solutions
Special Iterative Means and Advanced Limits: 1 questions with solutions

Permutations, Combinations and Mathematical Induction

Basic Counting Principles and Selections: 5 questions with solutions
Permutations and Arrangements with Restrictions: 6 questions with solutions
Digit, Number and Code Formation: 6 questions with solutions
Distributions, Partitions and Integer Solutions: 3 questions with solutions
Binomial Coefficients and Identities: 4 questions with solutions
Geometric and Object Counting Applications: 3 questions with solutions

Inequalities and Continued Fractions

Solving Algebraic, Exponential and Absolute-Value Inequalities: 3 questions with solutions
AM-GM, Power and Classical Inequality Proofs: 5 questions with solutions
Harmonic-Sum and Binomial Coefficient Inequalities: 2 questions with solutions

Complex Numbers

Roots of Unity and Powers of Complex Numbers: 5 questions with solutions
Complex Polynomial Equations and Conjugate Root Conditions: 3 questions with solutions
Complex Plane Loci, Modulus and Straight Lines: 3 questions with solutions
Trigonometric Form and Argument Operations: 1 questions with solutions
Unit-Modulus Algebra and Complex Matrix Expressions: 2 questions with solutions

Polynomials and Theory of Equations

Polynomial Roots, Graphs and Intersections: 5 questions with solutions
Vieta Relations and Transformations of Roots: 4 questions with solutions
Polynomial Identities, Remainders and Functional Equations: 6 questions with solutions
Quadratic Equations and Parameter Conditions: 2 questions with solutions
Cubic and Higher-Degree Equation Solving: 6 questions with solutions
Polynomial Inequalities, Positivity and Extrema: 2 questions with solutions
Binomial Expansion and Algebraic Identities: 2 questions with solutions

Elementary Number Theory

Divisors, Factorials and Valuations: 4 questions with solutions
Modular Arithmetic, Remainders and Last Digits: 6 questions with solutions
Primes, GCD and Diophantine Equations: 5 questions with solutions
Integer Identities and Number-Theoretic Estimates: 2 questions with solutions

Group Theory

Group Axioms, Binary Operations and Subgroups: 3 questions with solutions
Cyclic Groups and Subgroup Structure: 4 questions with solutions
Group Homomorphisms: 1 questions with solutions
Finite Groups, Element Orders and Normal Subgroups: 3 questions with solutions

Geometry and Trigonometry Past Year Questions

Plane and Coordinate Geometry

Coordinate Regions, Areas and Loci: 3 questions with solutions
Transformations, Rotations and Reflections: 3 questions with solutions
Points, Lines, Polygons and Plane Figures: 4 questions with solutions
Plane Curves, Loops and Centroids: 2 questions with solutions
Three-Dimensional Coordinate Geometry: 2 questions with solutions

Straight Lines and Circles

Straight Lines, Distances and Linear Equations: 2 questions with solutions
Circle Equations, Tangency and Diameter Form: 4 questions with solutions
Circular Regions, Segments and Areas: 3 questions with solutions

Conic Sections

Classification and Standard Forms of Conics: 4 questions with solutions
Parabola: Focus, Tangents and Arc Length: 3 questions with solutions
Ellipse Geometry and Extremal Properties: 2 questions with solutions

Trigonometric Functions and Identities

Trigonometric Identities and Exact Values: 3 questions with solutions
Trigonometric Equations and Parameter Conditions: 3 questions with solutions
Extrema and Inequalities in Trigonometric Functions: 4 questions with solutions

Linear Algebra Past Year Questions

Matrices and Determinants

Unit 1 — Linear Algebra

Unit 2 — Linear Algebra

Systems of Linear Equations

Eigenvalues and Eigenvectors

Quadratic Forms

Linear Transformations

Vector Spaces

Calculus Past Year Questions

Limits, Continuity and Differentiability

Unit 1 — Calculus

Differentiation and Applications

Unit 2 — Calculus

Integral Calculus

Series Expansion and Convergence

Functions of Several Variables

Multiple Integrals

Ordinary Differential Equations

Laplace Transform

Probability, Statistics and Analytical Reasoning Past Year Questions

Probability

Basic Probability, Events and Independence: 2 questions with solutions
Combinatorial Probability and Arrangements: 8 questions with solutions
Sequential Trials, Random Experiments and Stopping Rules: 5 questions with solutions
Set Operations, Inclusion-Exclusion and Occupancy: 5 questions with solutions
Geometric Probability: 2 questions with solutions
Discrete Sampling with Algebraic and Number-Theoretic Conditions: 4 questions with solutions

Conditional Probability and Bayes Theorem

Conditional Probability and Given Information: 1 questions with solutions
Bayes Theorem and Posterior Probability: 3 questions with solutions
Law of Total Probability and Sequential Conditioning: 2 questions with solutions
Diagnostic Testing, Reliability and Decision Applications: 4 questions with solutions

Probability Distributions

Binomial Distribution and Repeated Bernoulli Trials: 2 questions with solutions
Geometric Distribution and Waiting Time: 1 questions with solutions
Poisson Distribution and Mean Deviation: 1 questions with solutions
Discrete Random Variables and Limiting Probabilities: 1 questions with solutions

Descriptive Statistics

Measures of Central Tendency and Dispersion: 1 questions with solutions
Variance and Linear Transformations of Variables: 1 questions with solutions
Applications of Averages in Business Data: 1 questions with solutions

Correlation and Simple Linear Regression

Analytical Reasoning and Graphical Interpretation

Logical Implication and Event Reasoning: 1 questions with solutions
Function Properties and Degeneracy: 1 questions with solutions

Why Practice PYQs?

Chapter-wise Classification

Hints & Solutions

Practice Mode

Exam Mode