HomeEntrance Exam SyllabusISI Admission Test Syllabus 2024 PDF: Check Exam Pattern

# ISI Admission Test Syllabus 2024 PDF: Check Exam Pattern

## ISI Admission Test Exam Pattern 2024

The ISI Admission Test question paper of the recruitment test will be 100 questions with a Maximum mark of 100 Marks and All questions carry equal marks. The Exam duration of the ISI Admission Test paper will be 240 minutes. for each wrong answer, a 0 mark will be deducted. Below the given table is for the ISI Admission Test Exam Pattern 2024.

• Total Question – 100 Questions
• Total Marks – 100 Marks
• Exam Duration –  240 Minutes
• Language –
• Mode of Exam –
• Negative Marking – No

## ISI Admission Test Syllabus 2024 – Subject Wise

• 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

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## ISI Admission Test Syllabus 2024 – FAQs

Q.1 Who is conducting the ISI Admission Test Exam?

Answer: Indian Statistical Institute (ISI) is conducting the ISI Admission Test Exam 2024.

Q.2 What is the Exam duration for the ISI Admission Test 2024?

Answer: The Exam duration for the ISI Admission Test 2024 is 240 minutes.

Q.3 How many questions will be in the ISI Admission Test 2024 Exam?

Q.4 What is the type of exam in ISI Admission Test 2024?

Answer: The type of exam is Multiple Choice Questions (MCQ).

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