CMI — Syllabus, Exam Pattern, PYQs and Preparation
Chennai Mathematical Institute (CMI) is a UGC-recognised research
university in Siruseri, Tamil Nadu, offering B.S. (Honours), M.Sc.,
and Ph.D. programmes in Mathematics, Computer Science, and Physics.
Admission to every programme is decided solely through the CMI
Entrance Exam, held annually in May at centres across India, with
no other national exam accepted.
Short Description
Chennai Mathematical Institute (CMI) is a UGC-recognised research
university in Siruseri, Tamil Nadu, offering B.S. (Honours), M.Sc.,
and Ph.D. programmes in Mathematics, Computer Science, and Physics.
Admission to every programme is decided solely through the CMI
Entrance Exam, held annually in May at centres across India, with
no other national exam accepted.
Detailed Description
Founded in 1989 by mathematician C. S. Seshadri, Chennai
Mathematical Institute (CMI) has grown into one of India's most
respected centres for research and teaching in the mathematical
sciences. It was formally recognised as a university under Section
3 of the UGC Act in December 2006, and it directly awards its own
B.S., M.Sc., and Ph.D. degrees rather than routing them through a
parent university.
CMI runs three four-year B.S. (Honours) tracks — Mathematics;
Mathematics and Computer Science; and Mathematics and Physics —
alongside two-year M.Sc. programmes in Mathematics, Computer
Science, and Data Science, and doctoral programmes in all three
disciplines. The first two years of undergraduate study are common
to all B.S. students, after which they choose Computer Science or
Physics as a second subject, giving the curriculum a distinctly
mathematics-first structure compared to most Indian science
degrees. Faculty are active researchers with published work
spanning algebra, analysis, topology, algorithms, complexity
theory, and quantum field theory, and the institute maintains
active exchange partnerships with ENS Paris, ANU Canberra, and
CNRS in France.
Introduction
For a certain kind of student — the one solving contest problems
for fun rather than marks, who finds the school Maths syllabus too
slow — the CMI Entrance Exam is often the first exam that actually
asks them to think. Chennai Mathematical Institute (CMI) is a
small, research-intensive institute rather than a large university
campus, and it deliberately keeps its intake tight: undergraduate
offers are counted in the low hundreds each year, not thousands,
across all three B.S. (Honours) tracks combined.
Aspirants generally fall into two groups. The first, and larger,
is Class 12 students applying to the four-year B.S. (Honours)
programmes in Mathematics, Mathematics and Computer Science, or
Mathematics and Physics — many with an olympiad background, though
a strong olympiad record is not a prerequisite. The second is
graduating or graduate students applying to the two-year M.Sc.
programmes in Mathematics, Computer Science, or Data Science, or
to the Ph.D. tracks, often as a parallel or fallback option
alongside ISI, IISc, or IIT-JAM applications.
What distinguishes CMI's entrance exam from most Indian
competitive exams is its format: Part A is a screening section of
objective and numerical-answer questions, but Part B asks
candidates to write full mathematical proofs and solutions by
hand — the same style of thinking used in research mathematics,
not multiple-choice pattern recognition. This makes rote practice
less useful than genuine conceptual fluency and clear written
reasoning.
The exam is widely regarded, alongside the Indian Statistical
Institute's entrance test, as one of the most conceptually
demanding undergraduate mathematics exams in the country. A strong
Class 12 board record helps but does not guarantee selection; CMI
is explicit that the written exam, not board marks or a separate
aptitude score, is what decides admission for almost every
applicant.
Fees Scholarships
CMI's tuition for the B.S. (Honours) programmes and the M.Sc.
programmes in Mathematics and Computer Science is Rs 1,25,000 per
semester (two semesters a year), while M.Sc. Data Science is
priced higher at Rs 2,50,000 per semester, for the 2026–27 cycle.
Reported application fees for this cycle are around Rs 1,000 for
B.S. applicants and Rs 750 for M.Sc. applicants, paid online and
non-refundable.
Financial support is substantial and multi-layered. Around 30–35
full-tuition B.S. scholarships are awarded each year, covering all
four years plus a monthly fellowship of Rs 5,000 (continuation
depends on academic performance after the first semester). M.Sc.
Mathematics and Computer Science admits are eligible for a similar
two-year full-tuition scholarship with a Rs 6,000 monthly stipend.
Separately, income-based waivers apply regardless of scholarship
status: families earning up to Rs 8 lakh a year get a 100% B.S.
tuition waiver (40% for M.Sc.), and those up to Rs 12 lakh get 50%
(25% for M.Sc.). Ph.D. scholars pay no tuition and receive a
monthly research stipend of Rs 37,000 (first two years) rising to
Rs 42,000 (years three to five), plus a Rs 10,000 annual
contingency grant. Hostel and mess charges run around Rs 31,310
per semester.
[NEEDS VERIFICATION: exact 2026 application fee amounts — CMI's
own admissions pages describe fees as "fixed each year and
announced via the CMI Admissions webpage" without stating the
figure directly; the numbers above are consistently reported
across several independent exam-prep sources for this cycle.]
Preparation Tips
CMI's entrance exam rewards depth over speed, so a good prep plan
is built around proof-writing, not just problem count.
1. **Map the syllabus honestly.** Part A and Part B both draw
mostly from Class 11–12 mathematics — algebra, coordinate
geometry, trigonometry, calculus, combinatorics, number theory,
and sequences — but tested at a level of abstraction well
beyond board exams. Before doing anything else, go through each
topic and mark where your understanding is procedural ("I know
the steps") versus conceptual ("I could prove why the steps
work"). CMI's Part B specifically punishes the first kind of
preparation.
2. **Rebuild weak topics with proof-first material, not shortcut
tricks.** For each weak area, work through a proof-oriented
reference (see Recommended Books) rather than a formula-sheet
guide. Number theory, inequalities, and algebraic manipulation
deserve disproportionate time since they recur across both Part
A statement-style questions and Part B problems.
3. **Layer in daily problem-solving once the syllabus foundation is
stable** — aim for a mix of routine practice (to keep speed on
Part A-style questions) and 2–3 genuinely hard, multi-step
problems a day (to build Part B stamina). MastersUp's
chapter-wise CMI practice sets are organised this way, moving
from foundational to olympiad-adjacent difficulty within each
topic.
4. **Start previous year papers early, not at the end.** CMI's
official website has released papers going back to 2010 — work
through at least the last 6–8 years fully, timing yourself on
Part A and writing out full Part B solutions by hand, since the
exam format has stayed structurally consistent even as
individual questions change. Review not just whether your final
answer was right, but whether your written proof would have
earned full marks from a strict grader.
5. **Run full-length, timed mocks in the final 6–8 weeks.**
Simulate the real constraint: Part A on a computer-style
interface, Part B handwritten on paper, roughly 3 to 3.5 hours
total depending on your track. Because Part A uses a no-penalty
"No Attempt" option instead of traditional negative marking,
mocks should also train the judgment call of when to skip a
statement rather than guess.
6. **Revise by rebuilding proofs from memory, not rereading
notes.** In the last two weeks, close the book and try to
reconstruct key theorems and problem-solving templates from
scratch; this mirrors what the actual Part B exam demands under
time pressure.
**Time-allocation profiles**
- **Early starter (Class 11, 12+ months out):** ~1–1.5 hours/day on
syllabus depth and proof-writing practice for the first 6
months, rising to 2–3 hours/day (including one full-length PYQ a
week) in the final 3 months.
- **Focused six-month prep:** ~2 hours/day for the first 3 months
on topic-by-topic conceptual rebuilding, shifting to 3–4
hours/day for the last 3 months, split evenly between problem
sets, PYQs, and timed mocks.
- **Late starter (8–10 weeks):** Skip broad syllabus review; triage
to your 4–5 weakest topics first, then spend the remaining time
almost entirely on PYQs and mocks — at this stage, exposure to
CMI's actual question style matters more than covering every
topic.
Why Choose
CMI's biggest differentiator isn't the classroom — it's who else
is in it. Class sizes are small enough that undergraduates are
taught directly by active researchers, not primarily by teaching
assistants, and the same faculty who set the entrance exam also
teach the graduate-level courses students take from their third
year onward.
Outcomes back this up: CMI reports that essentially all students
seeking campus placement are placed, with average packages in the
Rs 18–20 lakh range in recent years, and alumni have gone on to
PhDs and faculty positions at Berkeley, MIT, Princeton, Stanford,
IISc, TIFR, and ISI, among others. For students aiming at research
rather than industry, CMI's formal exchange agreements with ENS
Paris and ENS Paris-Saclay, a joint CNRS research lab (IRL ReLaX)
since 2017, and an Australian National University internship
partnership give undergraduates real international research
exposure years before most Indian students get it.
It's also one of the few Indian institutes with a genuinely
diversified, largely non-state funding base — support from
NBHM/DAE, the Shriram Group, Infosys Foundation, and Microsoft
Research, among others — which shows up in a curriculum that
changes faster than most public university syllabi.
Faqs
## Eligibility & Applications
**Q: Who is eligible for CMI's B.S. (Honours) programmes?**
A: Students who have passed, or expect to pass in 2026, Class 12
(or an equivalent board exam) are eligible for all three B.S.
(Honours) tracks — Mathematics; Mathematics and Computer Science;
and Mathematics and Physics. There's no fixed subject-combination
requirement, but since the entrance exam tests mathematics up to
the Class 12 level, a strong background in the subject is
effectively necessary to clear it.
**Q: Is there an age limit to appear for the CMI Entrance Exam?**
A: CMI does not publish an upper or lower age limit for any of its
programmes. Eligibility is based entirely on academic
qualification — Class 12 completion for B.S., a relevant
bachelor's degree for M.Sc., and a relevant master's or bachelor's
degree for Ph.D. — rather than the candidate's age.
**Q: How many times can I attempt the CMI Entrance Exam?**
A: CMI does not publish a cap on the number of attempts. As long
as you meet the academic eligibility for the programme you're
applying to, you can reappear in a later year if you weren't
selected. There's also no rule barring current CMI students from
reapplying to a different programme.
**Q: Can international or NRI students apply to CMI?**
A: CMI does not operate a separate NRI or management quota — all
admissions, including for foreign nationals, go through the same
CMI Entrance Exam and merit process. If you're applying from
outside India or hold a foreign qualification, it's worth emailing
admissions@cmi.ac.in directly to confirm document equivalence
before the deadline. [NEEDS VERIFICATION: CMI's exact process for
foreign-qualified applicants.]
**Q: What documents do I need to apply?**
A: A valid email ID and mobile number, scanned copies of your
photograph and signature, and your Class 10/12 mark sheets (or
equivalent qualifying degree certificates for M.Sc./Ph.D.
applicants). Reserved-category candidates should also have their
caste/tribe, disability, or EWS certificate ready in CMI's
prescribed format, though these are submitted at admission rather
than at application.
**Q: Are there subject prerequisites for M.Sc. programmes?**
A: Yes — M.Sc. Mathematics requires a bachelor's degree with a
strong mathematics background; M.Sc. Computer Science requires a
strong computer science background; and M.Sc. Data Science accepts
backgrounds in mathematics, statistics, or computer science. A
B.A., B.Sc., B.Math, B.Stat, B.E., or B.Tech degree is acceptable
as long as the subject background matches.
## Exam Pattern & Syllabus
**Q: What is the CMI Entrance Exam pattern?**
A: The B.S. exam is typically 100 marks split into Part A (40
marks, screening — a mix of True/False/No-Attempt statement
questions and numerical-answer questions, answered on a computer)
and Part B (80 marks, six descriptive problems requiring full
written solutions on paper). Exact question counts vary slightly
year to year, but the 40/80 mark split has stayed consistent.
**Q: Is there negative marking in the CMI exam?**
A: Not in the traditional sense. Numerical-answer questions carry
no penalty for wrong answers. For the statement-based objective
questions, each has a "No Attempt" option: answering all parts
correctly earns full marks, but getting even one part wrong zeroes
out that entire question — so guessing is discouraged even without
a separate negative score.
**Q: Do I need to attempt every question in Part B?**
A: No — Part B typically has six problems, and a strong score
usually comes from solving a subset of them well rather than
attempting all six superficially. Many candidates only get Part B
graded at all if they clear a Part A screening threshold, so a
strong Part A performance matters even though it's worth fewer
total marks.
**Q: What topics does the CMI B.S. entrance exam cover?**
A: The exam draws mostly from Class 11–12 mathematics — algebra,
coordinate geometry, trigonometry, calculus, combinatorics, and
number theory — but questions are framed as genuine problem-solving
rather than formula recall. CMI doesn't publish a fixed
chapter-by-chapter list; recurring themes across past papers are a
better guide than any single syllabus document.
**Q: How is the M.Sc. Computer Science exam different from the
B.S. exam?**
A: It tests aptitude for computer science specifically — discrete
mathematics, logical reasoning, programming, formal languages and
automata theory, data structures and algorithms, probability
theory, calculus, and linear algebra — rather than the pre-calculus
Class 12 mathematics tested for the B.S. programmes.
## Fees, Scholarships & Reservation
**Q: How much does the CMI B.S. programme cost?**
A: Tuition is Rs 1,25,000 per semester (Rs 2,50,000 a year) for
the 2026–27 cycle, before any scholarship or waiver. With hostel
and mess charges of roughly Rs 31,310 per semester added in, the
sticker price for four years runs into several lakhs — though most
admitted students end up paying significantly less after
scholarships and income-based waivers.
**Q: Who qualifies for a full scholarship at CMI?**
A: Around 30–35 B.S. entrants each year — typically the strongest
scorers — receive a full four-year tuition waiver plus a Rs
5,000/month fellowship. Separately, income-based waivers apply to
any admitted student regardless of scholarship status: families
earning up to Rs 8 lakh/year get a 100% tuition waiver, and up to
Rs 12 lakh get 50%.
**Q: Does CMI have quota-based reservation?**
A: Yes. CMI follows the Government of India's reservation policy
for SC, ST, OBC-Non-Creamy-Layer, Persons with Disabilities (40%+
impairment), and EWS (family income below Rs 8 lakh) categories,
with proportional representation among candidates who meet the
relaxed qualifying score for their category.
**Q: What documents do reserved-category candidates need?**
A: Original SC/ST/OBC-NCL certificates from a competent authority,
a disability certificate for the PwD category, or an
income-and-asset certificate for EWS — all in CMI's prescribed
formats, available on the admissions website — required at the
time of admission, not the application stage.
**Q: Is the application fee refundable?**
A: No. CMI explicitly states that application fees for admission
to any of its programmes are non-refundable, regardless of
whether you sit the exam or are later selected.
## Results, Selection & Counselling
**Q: Does CMI publish a rank list or cutoff marks?**
A: No. CMI does not rank admitted students — result lists are
ordered by Applicant ID, not by score — and it does not publish a
numeric qualifying or cutoff mark for any programme. [NEEDS
VERIFICATION: whether CMI discloses score information privately to
individual candidates on request.]
**Q: Is there a waiting list if I'm not selected initially?**
A: Historically, no — CMI's B.S. results pages have explicitly
stated there is no waiting list. If you aren't on the initial
selection list, there generally isn't a subsequent offer round for
that cycle.
**Q: Do all M.Sc. and Ph.D. applicants get an interview?**
A: Not uniformly. M.Sc. Mathematics admits and every Ph.D. track
go through an in-person interview in Chennai after the written
exam. M.Sc. Computer Science and M.Sc. Data Science admits are
typically selected directly from the written exam, with an
interview only triggered if you've applied to multiple M.Sc.
programmes under a different qualifying exam.
**Q: When does the CMI academic session start?**
A: Based on the current admissions cycle, the session for newly
admitted students begins in August, with the first semester
running August to November and the second running January to
April — a pattern that has held consistently across recent years.
## Logistics & Special Cases
**Q: Can Olympiad medalists skip the CMI B.S. entrance exam?**
A: Students with exceptionally strong performance in the National
Science Olympiads (Mathematics, Physics, or Informatics) may be
exempted from writing the B.S. entrance exam, at the discretion of
CMI's Admissions Committee — this isn't automatic, and CMI
evaluates each case individually.
**Q: Is the CMI campus residential?**
A: Yes, for most students. The B.S. (Honours) programmes and the
M.Sc. Mathematics and Computer Science programmes are fully
residential, with hostel accommodation on the Siruseri campus.
M.Sc. Data Science is the one programme without hostel
accommodation.
**Q: Can I apply to more than one CMI programme in the same
year?**
A: For M.Sc. programmes, yes, within limits — depending on which
entrance exam you sit, you can apply to some combination of M.Sc.
Mathematics, Computer Science, and Data Science. For Ph.D., you
can apply to only one of Ph.D. Mathematics, Ph.D. Computer
Science, or Ph.D. Physics per cycle, though Ph.D. Mathematics/
Computer Science can be combined with the corresponding M.Sc.
track under a shared entrance exam.
**Q: What should I carry to the exam centre?**
A: Your printed admit card (no photo or signature needed on it)
along with a valid government-issued photo ID, such as an Aadhaar
card or passport, or an attested school/college ID. Since Part A
is answered directly on a computer, it helps to familiarise
yourself with the format from CMI's official sample papers
beforehand.
**Q: Is offline (postal) application possible if I can't apply
online?**
A: CMI's process is primarily online, but candidates in genuinely
remote areas without reliable internet access have historically
been able to request a hard-copy application form by post or
email — handled case by case, so it's best to contact
admissions@cmi.ac.in well before the deadline.
Syllabus
CMI runs a genuinely different entrance exam for each programme
level, so "the CMI syllabus" is really four separate syllabi
stitched together by a shared testing philosophy: conceptual
problem-solving over formula recall.
For the four-year B.S. (Honours) programmes — Mathematics;
Mathematics and Computer Science; and Mathematics and Physics —
all applicants sit the same single B.S. entrance exam regardless
of which of the three tracks they eventually choose. It draws
mostly from Class 11–12 mathematics (algebra, coordinate geometry,
trigonometry, calculus, combinatorics, number theory), but the
actual choice between a Mathematics, Computer Science, or Physics
specialisation doesn't happen until after the first semester at
CMI itself — so there's no separate "CS-focused" or
"Physics-focused" version of the B.S. entrance syllabus to prepare
for.
For postgraduate applicants, the syllabus splits by subject
instead: the M.Sc./Ph.D. Mathematics exam tests algebra, real
analysis, complex analysis, and calculus at an undergraduate-degree
level; the M.Sc./Ph.D. Computer Science exam tests discrete
mathematics, programming, algorithms, automata theory,
probability, and linear algebra; and the M.Sc. Data Science exam
sits between the two, testing school-level mathematics, discrete
mathematics, probability theory, and programming. Ph.D. Physics
has its own separate physics-aptitude exam.
Because the B.S. exam is common across specialisations, the most
efficient sequencing for a Class 12 aspirant is to build broad
mathematical fluency first — proof-writing and problem-solving
across all core topics — rather than trying to guess which
specialisation-specific material might show up. Postgraduate
aspirants, by contrast, should sequence preparation tightly around
their target track's syllabus from day one, since the Mathematics,
Computer Science, and Data Science postgraduate exams share very
little topical overlap.
On MastersUp, CMI's chapter and topic breakdowns are organised to
mirror this structure: a single shared pool for B.S.-level topics,
and three separate tracks for the M.Sc./Ph.D. Mathematics,
Computer Science, and Data Science syllabi, so you're always
practising against the version of the exam you'll actually sit.
Campus
CMI's main campus sits inside the SIPCOT IT Park in Siruseri, on
the southern outskirts of Chennai — roughly an hour from the city
centre, in a tech-park setting rather than a traditional
university town. A second campus, built to host the Dr F. C.
Kohli Centre of Excellence and, eventually, a mathematics museum,
was acquired in 2022 and is expected to become operational in
2026.
The B.S. (Honours) programmes and the M.Sc. Mathematics and
Computer Science programmes are fully residential, with students
housed in on-campus hostels; M.Sc. Data Science is the exception,
without hostel accommodation. Hostel and mess charges run around
Rs 31,310 per semester, covering hostel fees, mess, and
establishment charges, revised periodically for inflation.
All students get access to a dedicated computer laboratory and a
campus-wide high-speed wireless network. Beyond academics, the CMI
Arts Initiative runs regular cultural programmes and seminars, and
the undergraduate curriculum includes compulsory humanities
electives — literature, economics, foreign languages, art, and
music — a deliberate counterweight to the otherwise math-heavy
coursework.
Admission Procedure
CMI runs one unified, chronological admission cycle each year
across all its programmes, entirely online except for rare,
case-by-case postal exceptions for remote applicants.
**Application window:** For the 2026–27 cycle, the online
application opened in early March 2026 and closed on April 4,
2026. Applicants create a login, fill in personal, academic, and
contact details, choose their programme and preferred exam city
(from roughly 37 centres nationwide), upload a photograph,
signature, and academic mark sheets, and pay a non-refundable
application fee online.
**Admit card:** Released a few weeks before the exam — for 2026,
this was April 25 — downloadable after logging back into the
application portal. No photo or signature is required on the
admit card itself, but candidates must carry a printed copy along
with a valid government-issued photo ID to the test centre.
**Entrance exam:** Held on a single day in a single afternoon
sitting at all centres simultaneously — May 2, 2026, starting at
14:00, with different programme tracks finishing at either 17:00
or 17:30 depending on Part B length. The exam runs on the TCS iON
platform: Part A is answered directly on a computer, and Part B is
written by hand in a paper answer booklet.
**Results and shortlisting:** CMI does not rank candidates —
results are posted on the admissions website ordered by Applicant
ID, generally within a few weeks of the exam. There's no published
cutoff score and, for the B.S. programmes, historically no waiting
list. Offer letters go out by email directly to selected
candidates.
**Interviews and counselling:** M.Sc. Mathematics admits and all
Ph.D.-track shortlisted candidates are called for an in-person
interview in Chennai, typically in June. M.Sc. Computer Science
and Data Science admits are usually finalised straight from the
written exam without an interview round.
**Reservation:** SC, ST, OBC-Non-Creamy-Layer, Persons with
Disabilities, and EWS candidates get a relaxed qualifying score
and proportional representation as per Government of India policy;
original category certificates are verified at the admission
stage, not the application stage.
**Session start:** The academic year for newly admitted students
begins in August, with the first semester running through
November.
Exam Pattern
Across every CMI programme, the entrance exam follows the same
broad structure: a computer-based screening section (Part A)
followed by a handwritten, proof-based section (Part B), sat in a
single afternoon session at test centres nationwide.
For the B.S. (Honours) programmes, the exam totals 100 marks —
Part A worth 40 marks and Part B worth 80 marks. Part A mixes
True/False/No-Attempt statement questions (where getting even one
part of a multi-part statement wrong zeroes out that entire
question, but leaving a part unattempted doesn't) with
numerical-answer questions that carry no penalty for a wrong
answer. Part B consists of six descriptive problems requiring full
written solutions — though grading of Part B is typically only
guaranteed for candidates who clear a minimum Part A score or rank
among the top few hundred applicants by Part A performance, making
Part A a genuine screening gate rather than just the first
section.
The M.Sc./Ph.D. Mathematics and Computer Science exams, and the
M.Sc. Data Science exam, follow an analogous two-part
objective-plus-descriptive structure, with subject matter drawn
from their respective syllabi rather than Class 12 mathematics.
Total exam duration runs roughly 3 hours for the Mathematics and
Computer Science postgraduate tracks and 3 to 3.5 hours for the
B.S. and Data Science tracks. There is no conventional
single-mark-per-wrong-answer negative marking scheme anywhere in
the exam; the "No Attempt" design instead makes careless guessing
self-defeating without imposing a separate penalty score.
[NEEDS VERIFICATION: exact current-year question counts within
Part A, which have varied slightly across recent years even as the
40/80 mark split has stayed fixed.]
Pyqs
CMI is unusually transparent about its past papers — official
question papers (and, for most years, full solutions) are
available directly on CMI's admissions website going back to 2010
for the B.S. exam and the M.Sc./Ph.D. Computer Science and
Mathematics exams, and back to 2018 for M.Sc. Data Science.
A few patterns hold up across years: Part A's statement-based
(True/False/No Attempt) questions and numerical-answer questions
recur as the dominant format even as individual topics rotate;
Part B consistently favours problems that combine two or three
ideas (say, number theory with combinatorics, or calculus with
algebraic manipulation) over single-concept questions; and
difficulty within Part B tends to escalate roughly in question
order, though this isn't a strict rule.
On MastersUp, CMI's PYQs are organised year-by-year and
cross-tagged by topic, so you can either work through a full
historical paper under timed conditions or drill a single
recurring theme — like inequalities or functional equations —
across every year it's appeared, whichever better fits where you
are in your prep.
Cutoff Trends
CMI is one of the few major Indian entrance exams that doesn't
publish a numeric cutoff or qualifying score for any programme,
and it doesn't rank selected candidates either — official result
lists are ordered by Applicant ID, not score — which makes CMI's
admission outcomes harder to benchmark against exams like JEE or
CUET that publish percentile cutoffs.
What is verifiable is the shape of selection each year, which
gives a rough sense of competitiveness. In the 2026 cycle, CMI's
official results page listed 132 total offers across the two B.S.
(Honours) tracks combined (82 with scholarship, 50 without), with
no waiting list — a small number relative to the tens of thousands
of applicants competitive Indian science exams typically draw.
Among the postgraduate tracks in the same cycle, M.Sc. Data
Science had by far the largest intake, M.Sc. Computer Science a
mid-sized one, and M.Sc. Mathematics and the various Ph.D. tracks
each had single-digit interview shortlists — reflecting genuinely
small cohort sizes for the more research-focused postgraduate
programmes rather than any dramatic shift in difficulty.
Anecdotally, CMI's Part B (the handwritten, proof-based section)
is consistently described by past candidates and coaching
resources as harder to clear than Part A, since a candidate can
score reasonably on Part A's objective questions through pattern
familiarity but still struggle to write a complete, rigorous proof
under time pressure.
[NEEDS VERIFICATION: exact year-over-year qualifying marks,
applicant volume, and any directional trend in competitiveness,
since CMI does not publish this data and third-party estimates
vary widely.]
Short Notes
**Exam essentials**
- 100 marks total for the B.S. exam: Part A = 40 marks
(screening), Part B = 80 marks (six descriptive problems).
- Part A mixes True/False/No-Attempt statement questions with
numerical-answer questions; a wrong sub-part zeroes the whole
statement question, but "No Attempt" costs nothing — never guess
blindly.
- Part B grading is typically gated: you need a minimum Part A
score, or a top-few-hundred Part A rank, for Part B to even be
evaluated.
- No traditional negative marking anywhere in the exam.
- Single afternoon sitting, roughly 3–3.5 hours depending on
programme track.
- Part A is answered on a computer (TCS iON platform); Part B is
handwritten on paper.
**Syllabus at a glance**
- B.S. exam: Class 11–12 mathematics — algebra, coordinate
geometry, trigonometry, calculus, combinatorics, number theory —
tested as problem-solving, not recall.
- M.Sc./Ph.D. Mathematics: algebra, real analysis, complex
analysis, calculus (degree-level).
- M.Sc./Ph.D. Computer Science: discrete mathematics, programming,
algorithms, automata theory, probability, linear algebra.
- M.Sc. Data Science: school-level math, discrete math,
probability, programming.
**Eligibility quick-check**
- B.S.: Class 12 pass/appearing, any board.
- M.Sc.: relevant bachelor's degree, subject background matching
the track applied to.
- Ph.D.: relevant master's (or, for some tracks, a strong
bachelor's with research aptitude).
- No age limit, no publicised attempt cap.
- Olympiad medalists may get a B.S. entrance exemption at the
Admissions Committee's discretion — not automatic.
**Fees and money, in one line each**
- B.S./M.Sc. Math/CS tuition: Rs 1,25,000/semester. M.Sc. Data
Science: Rs 2,50,000/semester.
- ~30–35 full B.S. scholarships/year + Rs 5,000/month fellowship.
- Income-based waivers: family income ≤Rs 8L → 100% (BS) / 40%
(MSc) waiver; ≤Rs 12L → 50% (BS) / 25% (MSc).
- Ph.D.: zero tuition, Rs 37,000–42,000/month stipend + Rs
10,000/year contingency.
- Hostel/mess: ~Rs 31,310/semester.
**Admissions timeline shape (recurring pattern)**
- Notification: February. Applications open: early March.
Applications close: early April.
- Admit card: ~3 weeks before exam. Exam: early-to-mid May.
- Results: within weeks of the exam; no rank, no cutoff published,
no waiting list (B.S.).
- Interviews (Chennai, in person): M.Sc. Math + all Ph.D. tracks
only, typically mid-June.
- Session starts: August.
**Night-before reminders**
- Carry: printed admit card + government photo ID.
- Prioritise Part A first — it gates whether Part B even gets
graded.
- In Part B, a complete, correct solution to 3–4 problems beats a
rushed, incomplete attempt at all six.
- Reservation-category candidates: category certificates are
needed at admission, not application.
Important Dates
| Event | Date |
|---|---|
| Notification released | February 2026 |
| Application window opens | ~March 1–2, 2026 |
| Application window closes | April 4, 2026 |
| Admit card release | April 25, 2026 |
| Entrance exam | May 2, 2026 |
| Results declared | ~June 2026 (exact date not fixed by CMI) |
| M.Sc. Mathematics / Ph.D. interviews (Chennai) | Mid-June 2026 (reported) |
| Academic session begins | August 2026 |
Note: these are the confirmed dates for the 2026–27 admission
cycle, sourced from CMI's own admissions portal. CMI has not yet
announced 2027–28 dates at the time of writing; historically, the
cycle repeats on a similar February-notification /
March-application / May-exam pattern each year. [NEEDS
VERIFICATION: precise 2027–28 cycle dates, once announced.]
Eligibility Criteria
Eligibility at CMI is set entirely by academic qualification, with
no age limit and no published cap on the number of attempts for
any programme.
**B.S. (Honours) — Mathematics; Mathematics and Computer Science;
Mathematics and Physics:** open to students who have passed, or
expect to pass in the admission year, Class 12 or an equivalent
board examination. There's no fixed subject-combination
requirement, but the exam itself assumes strong Class 12-level
mathematics.
**M.Sc. Mathematics:** a bachelor's degree (B.A., B.Sc., B.Math,
B.Stat, B.E., B.Tech, or equivalent) obtained or expected in the
admission year, with a strong mathematics background.
**M.Sc. Computer Science:** a similar bachelor's degree with a
strong computer science background.
**M.Sc. Data Science:** a bachelor's degree with a background in
mathematics, statistics, or computer science.
**Ph.D. Mathematics:** an M.Sc. in Mathematics or equivalent, or a
bachelor's in Engineering/Science with strong research aptitude.
**Ph.D. Computer Science:** a B.E./B.Tech/M.Sc./M.C.A., or a
bachelor's in Science with strong research aptitude.
**Ph.D. Physics:** an M.Sc. in Physics or equivalent.
**Nationality:** CMI runs no separate NRI or management quota —
all applicants, Indian or foreign, go through the same entrance
exam and merit process; foreign-qualified applicants should
confirm document equivalence with admissions directly. [NEEDS
VERIFICATION: any distinct process for foreign nationals.]
**Reservation:** SC, ST, OBC-Non-Creamy-Layer, Persons with
Disabilities (40%+ impairment), and Economically Weaker Section
(family income below Rs 8 lakh, not otherwise reserved) candidates
get a relaxed qualifying score and proportional representation
under Government of India policy, verified via category
certificates at admission.
Exam Centers
CMI's entrance exam is held offline at test centres in 37 cities
across India, spanning nearly every region — from Srinagar and
Chandigarh in the north to Trivandrum and Coimbatore in the south,
Ahmedabad and Goa in the west, and Agartala, Guwahati, Imphal,
Shillong, and Silchar in the northeast. The full 2026 city list
includes Agartala, Ahmedabad, Allahabad, Bangalore, Bhubaneswar,
Calicut, Chennai, Cochin, Coimbatore, Durgapur, Goa, Gurgaon,
Guwahati, Hyderabad, Imphal, Indore, Jaipur, Kanpur, Kolkata,
Madurai, Mohali, Mumbai, Nagpur, New Delhi, Noida, Paschim
Medinipur, Patna, Pune, Raipur, Ranchi, Shillong, Silchar,
Siliguri, Srinagar, Tiruchi, Trivandrum, and Visakhapatnam.
Candidates choose a preferred exam city while filling out the
application form; the exact venue address within that city is
confirmed only on the admit card, released a few weeks before the
exam. Centre allocation isn't guaranteed to match every applicant's
first choice — CMI reserves the right to assign an alternate
nearby city depending on how many candidates opt for a given
centre, though this is uncommon for the larger metro cities.
Scholarships Stipends
CMI layers three distinct types of financial support on top of
each other, and admitted students can potentially benefit from
more than one simultaneously.
**Merit scholarships:** ~30–35 B.S. entrants a year (roughly the
strongest scorers) get a full four-year tuition waiver plus a Rs
5,000/month fellowship, contingent on maintaining satisfactory
academic performance after the first semester. M.Sc. Mathematics
and Computer Science admits are eligible for an equivalent
two-year full-tuition scholarship with a Rs 6,000/month stipend,
awarded to a number of students roughly matching each programme's
typical batch size.
**Need-based waivers:** independent of merit scholarships, any
admitted student whose family earns up to Rs 8 lakh/year gets a
100% tuition waiver for B.S. (40% for M.Sc.), and up to Rs 12
lakh/year gets 50% (25% for M.Sc.); M.Sc. Data Science waivers
follow the same income bands as other M.Sc. tracks, with larger
waivers considered case by case for significantly lower-income
families.
**Ph.D. stipends:** all Ph.D. scholars, regardless of merit
ranking, receive Rs 37,000/month for the first two years and Rs
42,000/month for years three to five, plus a Rs 10,000 annual
contingency grant and hostel access in year one (or a 30% housing
allowance if living off-campus).
Private contributors backing CMI's scholarship pool include
Shriram General Insurance, the Cognizant Foundation, Trumpf
Metamation, and Laxmi Charities, alongside CMI's own institutional
funds.
Recommended Books
1. **Higher Algebra — Hall & Knight.** The standard reference for
polynomial theory, theory of equations, and algebraic
manipulation that recur throughout CMI's Part A statement
questions.
2. **Plane Trigonometry — S.L. Loney.** Builds the trigonometric
identity and equation-solving fluency CMI's Part A frequently
tests, beyond what most Class 12 boards cover in depth.
3. **Challenge and Thrill of Pre-College Mathematics — V.
Krishnamurthy et al.** An olympiad-style problem book that
closely mirrors the non-routine, multi-step reasoning CMI's
Part B demands, across combinatorics, number theory, and
geometry.
4. **Problem-Solving Strategies — Arthur Engel.** A denser, more
advanced companion once foundational topics are solid — useful
for candidates aiming to comfortably clear the higher-difficulty
end of Part B.
5. **Problems in Calculus of One Variable — I.A. Maron.** Pushes
calculus practice well past board-exam level, directly useful
for both the B.S. exam and M.Sc. Mathematics applicants.
6. **Introduction to Real Analysis — Bartle & Sherbert.** The
standard first analysis text for M.Sc. Mathematics applicants
moving from calculus to rigorous, proof-based analysis.
7. **Discrete Mathematics and Its Applications — Kenneth Rosen.**
Matches CMI's own published M.Sc./Ph.D. Computer Science
syllabus almost topic-for-topic — discrete math, logic, and
combinatorics.
8. **Introduction to the Theory of Computation — Michael Sipser.**
Covers automata theory and formal languages, an explicitly
listed topic in CMI's Computer Science entrance syllabus.