Indian Statistical Institute Admission Test (ISI Admission Test)

What this exam is

The Indian Statistical Institute Admission Test is an independent national-level entrance examination conducted annually by the Indian Statistical Institute (ISI). ISI is a deemed university and institution of national importance established in 1931 in Kolkata, recognised globally for its contributions to statistics, mathematics, and quantitative sciences.

Unlike most Indian entrance tests, the ISI Admission Test is entirely designed and administered by ISI itself — not routed through NTA, CUET, or any centralised agency. It has its own registration portal, its own exam design, and its own interview process. This makes it one of the few remaining high-prestige independent entrance routes in Indian higher education.

The exam is conducted once a year, typically on the second Sunday of May (the 2026 test is scheduled for 10 May 2026). It covers both undergraduate and postgraduate admissions across ISI’s campuses in Kolkata, Delhi, Bangalore, Chennai, and Tezpur.

ISI’s flagship programmes and their test channels:

Programme	Level	Campus	Test Papers
B.Stat (Hons)	UG	Kolkata	UGA + UGB
B.Math (Hons)	UG	Bangalore	UGA + UGB
B.SDS (Hons) (Statistical Data Science)	UG	Kolkata, Delhi, Bangalore	Separate BSDS test
MStat	PG	Kolkata, Delhi, Chennai	PSA + PSB
MMath	PG	Kolkata, Bangalore	MMA + MMB
MS in Quantitative Economics (MSQE)	PG	Kolkata, Delhi	PEA + PEB
MTech Computer Science	PG	Kolkata	PCA + PCB / GATE channel
MTech Cryptology & Security	PG	Kolkata	PCA + PCB / GATE channel
MTech QROR	PG	Kolkata	GATE channel
PG Diploma in Statistical Methods & Analytics	PG	Delhi, Tezpur	PDA + PDB
JRF in Statistics / Mathematics / QE / CS	Research	Multiple	Separate JRF papers

The ISI Admission Test is considered one of the most mathematically rigorous entrance examinations in India. Selection rates are extremely low — typically fewer than 10% of applicants are shortlisted for interview, and final selection rates are well under 5% across most programmes. The test is a genuine screen for mathematical maturity and analytical ability, not rote knowledge.

Who should take this exam

B.Stat and B.Math (undergraduate): Class 12 students with strong performance in Mathematics — particularly those who have engaged with Olympiad-level problems, have gone beyond the standard school curriculum, and can handle rigorous mathematical reasoning. ISI B.Stat and B.Math are among the most sought-after statistics and mathematics undergraduate degrees in India, and they lead directly to automatic eligibility for MStat and MMath at ISI respectively. The stipend model (₹5,000/month for B.Stat and B.Math students) means these are effectively fully funded degrees.

MStat: Students finishing a Bachelor’s degree in Statistics (or related quantitative field) who want the most rigorous statistics master’s programme in India. B.Stat (Hons) graduates from ISI get direct admission without the test. Others must sit the exam and interview.

MMath: Students with a strong undergraduate Mathematics background seeking advanced training in pure and applied mathematics. B.Math (Hons) graduates from ISI get direct admission.

MS in Quantitative Economics (MSQE): Economics and mathematics graduates seeking a research-oriented programme at the intersection of economic theory and quantitative methods. This is the closest Indian analogue to graduate economics programmes at international research universities — it tests microeconomics, macroeconomics, and mathematical economics at a graduate level.

MTech CS and MTech Cryptology & Security: Engineers and science graduates seeking advanced specialisation in computer science and cryptology. These also have a GATE channel.

Who should NOT prioritise this exam: Students looking primarily for industry-oriented programmes, MBA-pathway training, or broad social science education. ISI programmes are narrowly focused on Statistics, Mathematics, Economics (quantitative), and Computer Science. The academic environment is intensely research-oriented.

Exam pattern and structure

The ISI Admission Test is held in offline (pen and paper) mode. Each programme has two papers on the same day — one in the morning (forenoon) session and one in the afternoon session.

General structure

Session	Paper Type	Format	Purpose
Forenoon	Objective paper (MCQ)	Multiple choice	Screen for shortlisting
Afternoon	Descriptive paper (subjective)	Long-form solutions	Assess depth of understanding

Only candidates who achieve the minimum qualifying score in the objective paper are evaluated in the descriptive paper. Candidates who are not shortlisted based on the objective paper are not invited for interview.

Programme-specific exam details

B.Stat (Hons) and B.Math (Hons):

Paper	Type	Questions	Marks	Duration
UGA (Objective)	MCQs	~30	120	2 hours
UGB (Descriptive)	Subjective	8–10 problems	80	2 hours

The UGA marking scheme awards +4 for correct answers and 0 (no penalty) for unattempted questions. The exact penalty for wrong answers varies — candidates should refer to the current year’s paper for the operative scheme.

MStat:

Paper	Type	Format
PSA (Objective)	MCQs — statistics and mathematics	Screening
PSB (Descriptive)	Subjective — statistics problems	Depth assessment

MMath:

Paper	Type	Format
MMA (Objective)	MCQs — pure mathematics	Screening
MMB (Descriptive)	Subjective — proof-writing, analysis, algebra	Depth assessment

MS in Quantitative Economics (MSQE):

Paper	Type	Format
PEA (Objective)	MCQs — micro, macro, mathematical economics	Screening
PEB (Descriptive)	Subjective — economic theory and maths problems	Depth assessment

All papers are held at ISI’s examination centres across India. The test is not available online; candidates must appear in person.

Selection process

1. Written test (objective + descriptive papers)
2. Shortlisting — based on combined written test performance
3. Interview — at the relevant ISI campus (mandatory for most programmes)
4. Final merit list — based on combined written test + interview score; academic records may be considered at the institute’s discretion

For B.Stat and B.Math, INMO (Indian National Mathematics Olympiad) awardees may be directly invited to interview without sitting the written test.

Syllabus overview

B.Stat and B.Math (UGA + UGB)

The undergraduate test syllabus covers higher secondary mathematics but at a depth significantly beyond the standard board examination.

Algebra and number theory:

• Sets and their properties; relations and functions
• Polynomials: roots, factorisation, polynomial equations, Vieta’s formulas
• Inequalities: AM-GM, Cauchy-Schwarz, and related
• Complex numbers: arithmetic, De Moivre’s theorem, roots of unity
• Modular arithmetic, divisibility, prime numbers, elementary number theory

Calculus:

• Limits and continuity of functions
• Differentiation: rules, chain rule, implicit differentiation, higher derivatives
• Applications of derivatives: extrema, monotonicity, convexity
• Integration: definite and indefinite, techniques (substitution, by parts, partial fractions), areas and volumes

Geometry:

• Coordinate geometry: lines, circles, conics (parabola, ellipse, hyperbola)
• Vectors: dot product, cross product, projections
• Solid geometry

Combinatorics and discrete mathematics:

• Permutations and combinations
• Binomial theorem and its applications
• Principle of inclusion-exclusion
• Pigeonhole principle

Probability (basic):

• Classical probability, conditional probability, Bayes’ theorem
• Discrete distributions (Binomial, Poisson)

Trigonometry:

• Standard identities, inverse trigonometric functions, solution of triangles

The UGB descriptive paper requires writing out complete solutions to problem sets drawn from the same content areas, but with greater complexity. Olympiad-style problem solving — where intuition, creative approaches, and clean proof-writing matter — is the key skill being assessed.

MStat (PSA + PSB)

The MStat test presupposes a strong undergraduate-level Statistics and Mathematics background.

Probability and distributions:

• Probability axioms, conditional probability, independence, Bayes’ theorem
• Random variables: discrete and continuous distributions (Binomial, Poisson, Normal, Exponential, Gamma, Beta, etc.)
• Moments, moment generating functions, characteristic functions
• Multivariate distributions, joint and marginal densities, conditional expectations
• Convergence in probability, in distribution, and almost surely; laws of large numbers; central limit theorem

Statistical inference:

• Point estimation: unbiasedness, consistency, efficiency, sufficiency, completeness
• Methods: method of moments, maximum likelihood estimation
• Interval estimation and confidence intervals
• Hypothesis testing: Neyman-Pearson framework, UMP tests, likelihood ratio tests
• Nonparametric tests: sign test, Wilcoxon signed-rank test, Mann-Whitney U

Linear models and regression:

• Simple and multiple linear regression
• Least squares estimation; properties of OLS estimators
• Gauss-Markov theorem, residual analysis
• Analysis of variance (ANOVA): one-way and two-way

Sample surveys:

• Simple random sampling, stratified sampling, cluster sampling
• Systematic sampling; ratio and regression estimators

Real analysis:

• Sequences and series of real numbers; convergence
• Continuity, differentiation, Riemann integration
• Metric spaces (basic)

Linear algebra:

• Vector spaces, subspaces, basis and dimension
• Linear transformations; matrix algebra
• Eigenvalues and eigenvectors; diagonalisation
• Quadratic forms; positive definite matrices

Calculus (multivariable):

• Partial derivatives; gradient; Jacobian and Hessian
• Multiple integrals; change of variables

MMath (MMA + MMB)

The MMath test covers advanced undergraduate mathematics with significant rigour.

Real analysis and metric spaces:

• Sequences and series (including convergence tests)
• Continuous functions; uniform continuity; differentiability
• Riemann and Lebesgue integration (introductory)
• Metric spaces: open and closed sets, compactness, completeness

Abstract algebra:

• Groups: subgroups, cosets, Lagrange’s theorem, normal subgroups, quotient groups, homomorphisms
• Rings: ideals, quotient rings, polynomial rings, fields

Linear algebra:

• Vector spaces over arbitrary fields; linear independence, bases
• Linear maps; rank-nullity theorem
• Inner product spaces; orthogonality; spectral theorem
• Determinants; eigenvectors; Jordan canonical form (introductory)

Topology (basic):

• Topological spaces; open and closed sets; continuity
• Connectedness; compactness

Complex analysis (introductory):

• Analytic functions; Cauchy-Riemann equations
• Complex integration; Cauchy’s theorem

Number theory:

• Congruences; Chinese Remainder Theorem; quadratic residues

MS in Quantitative Economics (MSQE — PEA + PEB)

MSQE is the most directly economics-focused programme at ISI. The test combines graduate-level microeconomics and macroeconomics with mathematical economics.

Microeconomics:

• Consumer theory: utility maximisation, expenditure minimisation, duality, Slutsky equation
• Producer theory: cost minimisation, profit maximisation, duality
• Market structures: competitive equilibrium, monopoly, game theory (Nash equilibrium, dominant strategies, repeated games)
• General equilibrium: existence and efficiency; welfare theorems; Arrow-Debreu framework
• Information economics: adverse selection, moral hazard, signalling

Macroeconomics:

• Classical and Keynesian frameworks; AD-AS model
• Consumption: permanent income hypothesis, life-cycle hypothesis
• Investment theory; Tobin’s q
• IS-LM model; Mundell-Fleming; open economy macroeconomics
• Growth models: Solow, Ramsey-Cass-Koopmans model
• Business cycle theory (introductory)

Mathematical economics:

• Optimisation: unconstrained and constrained (Lagrangian, Kuhn-Tucker)
• Differential equations (ODE) and difference equations
• Linear algebra and matrix methods in economic models
• Fixed point theorems (introductory)
• Game theory: strategic form, extensive form, backward induction, Nash, subgame perfect equilibrium

Probability and statistics (foundational):

• Probability distributions; expected value; variance
• Regression models; hypothesis testing; basic econometrics

The MSQE syllabus at the descriptive level (PEB) requires writing rigorous economic proofs and solving mathematical models. It is comparable in difficulty to first-year PhD coursework at many international institutions.

Eligibility and registration

Programme-specific eligibility

Programme	Minimum Eligibility
B.Stat (Hons)	Successful completion of 10+2 (or equivalent) with Mathematics and English
B.Math (Hons)	Successful completion of 10+2 (or equivalent) with Mathematics and English
B.SDS (Hons)	10+2 in 2025 or 2026 with Mathematics/Applied Mathematics and English; minimum 75% aggregate (65% for SC/ST/PwBD)
MStat	3-year Bachelor’s degree with Statistics as a subject OR BE/BTech OR B.Math (ISI) OR PG Diploma in Statistical Methods from ISI
MMath	3-year Bachelor’s degree with Mathematics as a subject OR BE/BTech with Mathematics OR B.Stat (ISI)
MS Quantitative Economics	3-year Bachelor’s degree in Economics, Mathematics, Statistics, or Physics OR B.Stat (ISI) OR BE/BTech
MS Quality Management Science	3-year Bachelor’s degree with Mathematics as a subject OR BE/BTech
MTech CS / Cryptology	Master’s degree in Mathematics/Statistics/Physics/CS or BE/BTech
PG Diploma in Statistical Methods & Analytics	Bachelor’s degree in any discipline with Mathematics as a subject OR BE/BTech
JRF	Master’s degree in relevant field with strong academic record

Candidates who are appearing in their qualifying examinations and whose results are awaited are eligible to apply, provided they complete the qualifying exam before the cut-off date specified by ISI (typically 20 July of the admission year).

Direct admission routes (no written test required):

• B.Stat (Hons) graduates from ISI are automatically admitted to MStat
• B.Math (Hons) graduates from ISI are automatically admitted to MMath
• INMO awardees may be directly shortlisted for interview for B.Stat/B.Math

Application and registration

Registration is done entirely online at https://admission.isical.ac.in/.

Typical registration window: February 12 – March 26 (for all programmes except B.SDS, which has a later window in April–May)

Application fee:

Category	Fee
General Male (Indian citizen)	₹1,500
General Female (Indian citizen)	₹1,000
SC/ST/PwBD/OBC-NCL/EWS (Indian citizen)	₹750
OCI	₹1,500

Candidates may apply for multiple programmes in a single application. The admission test is held in offline mode at centres distributed across India. There is no online test option.

Foreign nationals are treated as general category candidates for selection purposes, but must appear at Indian examination centres. No provision exists for overseas test administration.

Cutoffs and score interpretation

ISI does not publish official cutoff scores. Shortlisting is done at the institute’s discretion based on the overall performance distribution in a given year. The following are approximate thresholds observed from historical data and student reporting, for screening interview shortlists:

Programme	Approximate Qualifying Range (Objective Paper)
B.Stat / B.Math (UGA)	45–60 marks (out of ~120)
MStat (PSA)	55–65 marks
MMath (MMA)	50–60 marks
MSQE (PEA)	55–70 marks

These thresholds are for shortlisting to interview, not for final selection. Final selection depends heavily on interview performance. Candidates who score well in the written test but perform poorly in interview may not be selected.

Seat intake (approximate):

Programme	Approximate Seats
B.Stat (Hons)	~63 (Kolkata)
B.Math (Hons)	~50 (Bangalore)
MStat	~40 total across campuses
MMath	~35 total across campuses
MSQE	~35 total (Kolkata + Delhi)
MTech CS / CrS	~25–30 each

Total seats across all ISI programmes are approximately 300–350 per year. These numbers are modest relative to the applicant pool, which runs into several thousand for popular programmes. ISI follows central government reservation norms (SC 15%, ST 7.5%, OBC-NCL 27%, EWS 10%, PwBD 5%).

The ISI Prospectus 2025–26 provides the definitive seat matrix each year.

Stipend and funding:

• B.Stat and B.Math students receive a monthly stipend of ₹5,000 (subject to academic performance)
• MStat/MMath/MSQE students receive ₹8,000/month stipend
• JRF fellowships carry higher stipends per DST norms
• B.SDS is a fee-based programme (₹1,00,000 per semester) with full waivers for SC/ST/PwBD and income-based partial waivers

Colleges and programmes that accept this exam

The ISI Admission Test is exclusively for admission to ISI Kolkata (Indian Statistical Institute) programmes. It is not accepted by any other institution.

Undergraduate programmes:

• B.Stat (Hons) — BSc Statistics equivalent, 3 years, Kolkata campus only
• B.Math (Hons) — BSc Mathematics equivalent, 3 years, Bangalore campus only
• B.SDS (Hons) (Bachelor of Statistical Data Science) — 4 years, Kolkata + Delhi + Bangalore campuses (hybrid mode)

Postgraduate programmes:

• MStat (Master of Statistics) — MSc Statistics equivalent, 2 years, Kolkata/Delhi/Chennai
• MMath (Master of Mathematics) — MSc Mathematics equivalent, 2 years, Kolkata/Bangalore
• MSQE (MS in Quantitative Economics) — MSc Economics equivalent with heavy quantitative orientation, 2 years, Kolkata/Delhi
• MS QMS (Quality Management Science) — 2 years, Bangalore/Hyderabad
• MS LIS (Library and Information Science) — 2 years, Bangalore
• MTech CS — 2 years, Kolkata
• MTech Cryptology & Security — 2 years, Kolkata
• MTech QROR — 2 years, Kolkata
• PG Diploma in Statistical Methods & Analytics — 1 year, Delhi/Tezpur
• PG Diploma in Applied Statistics (PGDAS — online via Coursera) — separate channel

Research programmes:

• JRF (Junior Research Fellowship) — in Statistics, Mathematics, Quantitative Economics, Computer Science, Physics, Geology, Linguistics, and Biological Sciences — leads to PhD enrolment at ISI

Related institutions sometimes considered alongside ISI:

• Presidency University Kolkata — for Statistics and Mathematics undergraduate programmes
• Chennai Mathematical Institute (CMI) — for BSc and MSc Mathematics and Computer Science

How to prepare

Undergraduate (B.Stat / B.Math)

The ISI UG test is not based on board exam syllabi. It tests mathematical depth and maturity.

Core preparation:

• The ISI official syllabus and sample questions are the starting point. Sample papers from 2015–2026 are available on the official site and are the best preparation resource.
• Standard reference: Hall and Knight’s Algebra, S.L. Loney’s Trigonometry and Coordinate Geometry, Apostol’s Calculus (for serious candidates)
• For combinatorics and discrete mathematics: Arthur Engel’s Problem Solving Strategies, Vilenkin’s Combinatorics
• For probability: Feller’s Introduction to Probability Theory and Its Applications (Volume 1)

Preparation approach:

• Practice previous years’ UGA and UGB papers under timed conditions
• Work through ISI sample questions systematically
• For UGB, develop the habit of writing clean, complete mathematical proofs — partial credit is given but sloppy notation costs marks
• Candidates with Olympiad (RMO/INMO) preparation have a natural advantage — their problem-solving training overlaps heavily with what ISI tests

Timeline: Minimum 6–12 months of focused preparation beyond Class 12 boards is typical for serious candidates.

MStat

The MStat test requires a solid undergraduate Statistics and Mathematics foundation.

Core preparation:

• Real analysis: Rudin’s Principles of Mathematical Analysis (Baby Rudin) or Apostol’s Mathematical Analysis
• Probability: Billingsley’s Probability and Measure or Feller (both volumes); ISI lecture notes
• Statistics: Casella & Berger’s Statistical Inference; Lehmann’s Theory of Point Estimation
• Linear algebra: Strang’s Linear Algebra and Its Applications; Hoffman & Kunze

Previous years’ PSA and PSB papers (2015–2026) from the official ISI site are essential. The descriptive paper (PSB) particularly rewards candidates who have practiced writing rigorous statistical proofs, not just computing answers.

MSQE

The MSQE test combines graduate microeconomics, macroeconomics, and mathematical methods.

Core preparation:

• Microeconomics: H. Varian, Intermediate Microeconomics; Osborne & Rubinstein (for game theory); Kreps or Mas-Colell for advanced readers
• Macroeconomics: Blanchard, Macroeconomics; Mankiw, Macroeconomics; Romer, Advanced Macroeconomics (for growth models)
• Mathematical economics: Chiang & Wainwright, Fundamental Methods of Mathematical Economics; Simon & Blume, Mathematics for Economists
• Previous years’ PEA and PEB papers are the best guide to the level and format

Note on MSQE vs. CUET PG Economics for DSE: The MSQE test is significantly harder than the CUET PG Economics paper (COQP10 used for DSE admission). MSQE tests graduate-level microeconomics including general equilibrium, game theory, and information economics. DSE’s CUET PG test is largely at the intermediate undergraduate level. Candidates who are serious about ISI MSQE should prepare substantially beyond what is sufficient for CUET PG.

General advice

• All programmes: ISI publishes 10+ years of sample papers on its official website. Practising these papers is non-negotiable.
• The interview is a genuine academic discussion. Candidates who barely pass the written test but perform brilliantly in interview may still be selected. Equally, strong written performance does not guarantee selection without a solid interview.
• ISI does not release answer keys or result breakdowns. Results are announced as a merit list without individual scores disclosed.

Key dates and timeline

The ISI admission cycle runs from February to July–August each year.

Stage	Approximate Timing
Official notification and prospectus published	February
Online application opens (except B.SDS)	Second week of February
Application deadline (except B.SDS)	Late March
B.SDS application window	April–May
Admit card release	Third–fourth week of April
ISI Admission Test	Second Sunday of May (May 10, 2026)
Results and shortlists for interview	June
Interviews	June–July (at respective campuses)
Final merit lists and admission	July
Classes commence	Late July – August

For 2026: The test is confirmed on 10 May 2026. Registration closed on 26 March 2026. B.SDS applications open 28 April 2026.

Always verify current-year dates at the official portal: https://admission.isical.ac.in/

Related exams

Students preparing for ISI programmes often also consider:

• DSE Entrance (CUET PG) — For MA Economics at Delhi School of Economics. CUET PG Economics (COQP10) is at a lower level of mathematical difficulty than ISI MSQE but is the primary route to India’s other flagship economics master’s programme.
• IIT JAM — Joint Admission Test for MSc Mathematics, Statistics, and Economics at IITs. Conducted by IIT/IISc; offers access to IIT MSc Statistics (IIT Kanpur, IIT Mumbai, IIT Delhi, IIT Kharagpur) and MSc Mathematics. The difficulty is broadly comparable to ISI MStat/MMath for the objective portion, though ISI is generally considered harder at the descriptive level.
• GRE — For PhD programmes in Economics, Statistics, or Mathematics at international universities, particularly the United States and Europe. ISI MStat and MSQE graduates routinely proceed to PhD programmes in the US.

BSc Statistics programmes that produce strong ISI applicants include those at Presidency University Kolkata and St. Xavier’s College (Kolkata/Mumbai).

Related programmes on this site:

• MSc Statistics
• MSc Mathematics
• BSc Statistics
• MSc Economics

Sources Used

1. Indian Statistical Institute, Admissions Portal (official) — https://admission.isical.ac.in/
2. Indian Statistical Institute, Admissions 2026 Homepage — https://admission.isical.ac.in/admission2026/home
3. Indian Statistical Institute, Undergraduate Programmes — https://isru.isical.ac.in/static/academics/academic_programmes/undergraduate
4. Indian Statistical Institute, B.Stat (Hons) Programme Brochure — https://www.isical.ac.in/~deanweb/brochure/brochure_bstat.pdf
5. Indian Statistical Institute, Main Website — https://web.isical.ac.in/
6. Indian Statistical Institute, Syllabus and Sample Questions Page — https://www.isical.ac.in/~admission/Syllabus-And-QP.html