ISI Admission Test Syllabus 2025 & Exam Pattern

ISI Admission Test Syllabus 2025 & Exam Pattern: The Indian Statistical Institute will conduct the ISI Admission Test 2025 to provide admissions in various undergraduate and postgraduate courses for candidates including statistics, science, and technology. All the candidates who have successfully submitted the ISI Admission Test Application Process must read this article to get the detailed ISI Admission Test Syllabus 2025. Through this web page, aspirants will get the complete info of the Indian Statistical Institute Test Syllabus 2025 PDF.

So, start preparing for the ISI Admission Test 2025 by using the given information. For the sake of the candidates, we have also provided the ISI Admission Test Pattern 2025. At the end of this page, the direct link for the ISI Admission Test Syllabus & Exam Pattern PDF download is attached. Go through the complete page and then start preparing for the Indian Statistical Institute Admission Test 2025. The ISI Admission Test Pattern is different for each post. So, check this complete page, and have complete knowledge of the ISI Admission Test Pattern.

ISI Admission Test Syllabus 2025 – Details

ISI Admission Test Pattern 2025

• Mode of exam: Offline mode.
• Session: There are two sessions Forenoon session (MCQ) and the Afternoon session (Descriptive type)
• Marking scheme: For the correct answer, 1 mark is awarded and for no or incorrect answer 0 marks are awarded.
• Types of questions: (i) Multiple Choice Questions (MCQ) – There is a total of 30 questions in the exam.
  (ii) Descriptive type: In this candidates have to write the answers.

ISI Admission Test Syllabus 2025

B.Stat, B Math

• Algebra
• Geometry
• Trigonometry
• Calculus

M.Stat

Mathematics

• Arithmetic, geometric and harmonic progressions. Trigonometry. Two-dimensional coordinate geometry: Straight lines, circles, parabolas, ellipses, and hyperbolas.
• Elementary set theory. Functions and relations. Elementary combinatorics: Permutations and combinations, Binomial and multinomial theorem.
• Theory of equations.
• Complex numbers and De Moivre’s theorem.
• Vector spaces. Determinant, rank, trace, and inverse of a matrix. System of linear equations. Eigenvalues and eigenvectors of matrices.
• Limit and continuity of functions of one variable. Differentiation and integration. Applications of differential calculus, maxima, and minima.

Statistics and Probability

• Notions of sample space and probability. Combinatorial probability. Conditional probability and independence. Bayes Theorem. Random variables and expectations. Moments and moment-generating functions. Standard univariate discrete and continuous distributions. Distribution of functions of a random variable. Distribution of order statistics. Joint probability distributions. Marginal and conditional probability distributions. Multinomial distribution. Bivariate normal and multivariate normal distributions.
• Sampling distributions of statistics. Statement and applications of Weak law of large numbers and Central limit theorem.
• Descriptive statistical measures. Pearson product-moment correlation and Spearman’s rank correlation. Simple and multiple linear regression.
• Elementary theory of estimation (unbiasedness, minimum variance, sufficiency). Methods of estimation (maximum likelihood method, method of moments). Tests of hypotheses (basic concepts and simple applications of Neyman-Pearson Lemma). Confidence intervals. Inference related to regression.
• Basic experimental designs such as CRD, RBD, LSD, and their analyses. ANOVA. Elements of factorial designs. Conventional sampling techniques (SRSWR/SRSWOR) include stratification.

M. Math

Analysis and metric spaces

• Countable and uncountable sets
• Equivalence relations and partitions
• Convergence and divergence of sequences and series
• Cauchy sequence and completeness
• Bolzano‐Weierstrass theorem
• Continuity, uniform continuity, differentiability, Taylor Expansion
• Partial and directional derivatives, Jacobians
• Sequence and series of functions
• Elements of ordinary differential equations
• Integral calculus of one variable – the existence of Riemann integral
• Fundamental theorem of calculus, change of variable, improper integrals
• Elementary topological notions for metric spaces – open, closed, and compact sets of continuous functions, completeness of metric spaces.

Linear algebra and abstract algebra

• Vector spaces, subspaces, basis, dimension, direct sum
• Matrices, systems of linear equations, determinants
• Diagonalization, triangular forms
• Inner product spaces
• Linear transformations and their representation as matrice
• Groups, subgroups, quotient groups, homomorphisms, products
• Lagrange’s theorem, Sylow’s theorems
• Rings, ideals, maximal ideals, prime ideals, quotient rings
• Integral domains, Chinese remainder theorem, polynomial rings, fields.

Elementary probability theory

• Combinatorial probability, events, random variables, independence, expectation, and variance

M.S (QE)

Mathematics

• Algebra
• Linear Algebra
• Calculus
• Elementary Statistics

Microeconomics

Theory of consumer behavior, Theory of production, Market structure under perfect competition, Monopoly, Price discrimination, Duopoly with Cournot and Bertrand competition, Public goods, Externalities, General equilibrium, Welfare economics, Ricardian trade model, Heckscher-Ohlin trade model (factor price equalization theorem, Stolper-Samuelson theorem, and Rybczynski theorem).

Macroeconomics

National income accounting, the Simple Keynesian model of income determination and the multiplier, the IS-LM Model, models of aggregate demand and aggregate supply, Money, Banking and inflation, the Phillips curve, Elementary open economy macroeconomics, the Harrod-Domar Model, and the Solow Model.

M.S.(QMS)

• Algebra
• Matrix Algebra
• Calculus

M.S.(LIS)

Paper I (Forenoon): Test Code: PLA

There will be 30 objective-type questions. These are given to test quantitative skills (at 10 +2 level) and reasoning skills (at the undergraduate level), knowledge of mathematics, and ability to read and understand graphs & statistical tables (preferably 10+2 level).

PLA test consists of two parts: Part I: Test of Quantitative Ability and Part II: Test of Reasoning Ability. The candidates are expected to answer all 30 questions.

Paper II (Afternoon): Test Code: PLB

This paper will test critical thinking, language proficiency, and writing skills. The broad pattern of the question paper will be as below:

• Part I: Comprehension Ability Test. The candidate is expected to go through the text and understand its content, to answer the questions in sentences.
• Part II: Test of English Language Proficiency. Questions are given to test the knowledge of antonyms, analogies, synonyms, and elementary English grammar.
• Part III: Test of writing skills. The candidate is expected to write an essay on given topics.

M.S. (CS & CrS) & M.TECH (QROR)

• Analytical Reasoning
• Algebra
• Coordinate geometry
• Calculus
• Elementary discrete probability theory
• Trigonometric functions and identities

PG DIPLOMA in Statistical Methods & Analytics, Applied Statistics (Online)

• Algebra
• Coordinate geometry
• Calculus
• Probability

PG DIPLOMA in Agricultural and Rural Management with Statistical Methods & Analytics

• Mathematics (up to 10+2 level)
• Logical Reasoning
• English Comprehension of short passages
• Basic Notions of Agricultural Sciences

Note: Check the below PDF and have the complete information about the Syllabus.

ISI Admission Test Syllabus 2025 – Download Link

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