CMI BS Hons — Preparation, Tests and Notes
CMI: Bachelors in Science Honours
Placement Statistics
## Placement Snapshot
| Metric | 2025 cycle |
| --- | --- |
| Highest CTC | **₹ 47 LPA** |
| Average CTC | **₹ 18 LPA** |
| Median CTC | ₹ 17 LPA |
| Placement ratio | ~ 80 % (rest choose MS/PhD abroad) |
| Top recruiters | Google, Jane Street, Adobe, Tower Research, Morgan Stanley |
Course Overview
## CMI BS (Hons) – Entrance Guide 2026
A four-year honours programme that fuses deep mathematics with modern computer science.
This page answers the big five questions students ask:
1. **What is the CMI entrance exam?**
2. **Who can apply and what are the exact eligibility rules?**
3. **What is the paper pattern and marking scheme?**
4. **What topics appear in the syllabus?**
5. **How do I prepare effectively in 12 weeks?**
The information below reflects the official schedule published for the August 2026 intake.
Entrance Exam Details
## 2026 Application Calendar
| Milestone | Date |
| --- | --- |
| Online form opens | **2 Mar 2026** |
| Form & fee deadline | **4 Apr 2026 – 23:59 IST** |
| Admit card download | 25 Apr 2026 |
| **Exam day** | **2 May 2026 (14 : 00 – 17 : 00)** |
| Results | ≈ early June 2026 |
**Test centres (34 total)**
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, Visakhapatnam. :contentReference[oaicite:0]{index=0}
Exam Pattern
| Part | Section type | Questions | Marks | Negative | Notes |
| --- | --- | --- | --- | --- | --- |
| **A** | MCQ (single-correct) | 10 | 40 | –1 per wrong | Minimum 24 / 40 needed for Part B to be evaluated |
| **B** | Six long-answer proofs | 6 | 60 | 0 | Step-wise marking for rigour |
| **Total** | | **16** | **100** | | 3-hour pen-and-paper test |
*Paper date*: **2 May 2026 (14:00 – 17:00 IST)** :contentReference[oaicite:0]{index=0}.
Pattern remains unchanged from the 2025 cycle :contentReference[oaicite:1]{index=1}.
Skills Learning Outcomes
- Write rigorous proofs and communicate findings clearly.
- Analyse algorithmic complexity and optimise code.
- Model data sets and run statistical inference.
- Build production-ready programs in **Python/C++** with *Git* workflows.
- Collaborate on research projects and defend results in seminars.
Admission Procedure
1. **Register online** at apply2026.cmi.ac.in (₹ 1 000).
2. Fill personal + Class 12 details; upload photo/signature.
3. Pay fee → receive confirmation e-mail.
4. Download admit card from 25 Apr 2026.
5. Write exam on 2 May 2026 at chosen centre.
6. If selected (cut-off met), complete on-campus counselling and pay first-semester fee within 7 days. :contentReference[oaicite:1]{index=1}
Preparation Strategy
| Phase | Weeks | Focus | Deliverable |
| --- | --- | --- | --- |
| Concept Build | 1 – 4 | Finish theory; make flash cards | All core formulas memorised |
| Drill | 5 – 8 | Daily 30 MCQ + 1 proof | Error log & weekly recap |
| Mock Loop | 9 – 11 | Six full papers under 3-h timer | Analytics + topic-wise fix |
| Taper | 12 | Light revision, sleep hygiene, exam-day kit | Ready checklist |
**Tip**: aim for ≥ 24/40 in Part A by week 8—the gate to having Part B evaluated.
Syllabus
### Unit-wise list
| Unit | Key topics |
| --- | --- |
| Logic & Proofs | Statements, induction, contradiction |
| Algebra & Number Theory | Modular arithmetic, binomial theorem, inequalities |
| Geometry & Trigonometry | Euclidean geometry, coordinate geometry, trig identities |
| Calculus | Limits, continuity, derivatives, integrals, sequences & series |
| Combinatorics | Permutations, combinations, Pigeonhole principle, basic graph ideas |
| Probability | Random variables, expectation, basic distributions |
Notes
**Complete lecture notes (250 pages)** covering all six units, each with:
1. Concept exposition
2. Worked examples
3. “Checkpoint” quizzes
4. Proof templates
5. End-of-unit mixed drill
Short Notes
Cheat-sheets for last-week revision: formula tables, derivative ladders, binomial identities, common proof tricks, algorithm pseudocode snippets.
Chapter Wise Questions
430 previous-year questions sorted into 42 chapters + 820 fresh practice problems (difficulty graded Easy → Advanced).
Full Length Mocks
15 timed mocks that mimic the latest pattern (MCQ gate → long proofs) with instant analytics and percentile ranking.
Course Curriculum
## Eight-Semester Plan
| Sem | Core Papers | Lab / Seminar | Open Elective | Milestone |
| --- | --- | --- | --- | --- |
| **I** | Calculus I · Discrete Maths | Intro Python | – | Quiz-1 |
| **II** | Linear Algebra · Probability | DS & Algo Lab | – | Hackathon |
| **III** | Calculus II · Algorithms | C++ Lab | – | Mini-proj |
| **IV** | Abstract Algebra · Statistics | R Lab | 1 | Mini-thesis |
| **V** | Real Analysis · Combinatorics | ML Basics | 1 | Term Paper |
| **VI** | Graph Theory · Number Theory | Advanced Python | 1 | Internship |
| **VII** | Numerical Methods · Topology | Research Seminar | 2 | Thesis – Part 1 |
| **VIII** | Electives (2) | Thesis Workshop | 2 | Thesis – Defence |
Day In Life
| Time | Activity |
| --- | --- |
| 07 : 30 | Breakfast & daily puzzle |
| 09 – 13 | Lectures / tutorials |
| 14 – 16 | Lab / library research |
| 16 : 15 | Tea break & Ultimate Frisbee |
| 18 : 00 | Club meets / seminar talk |
| 21 : 00 | Self-study or gaming jam |
Campus Life
### Life at CMI
- **Housing** : Single rooms with 1 Gbps Wi-Fi; common lounges on every floor.
- **Library** : 24 × 7 access, 25 k+ titles, MathSciNet & JSTOR subscriptions.
- **Food** : Veg + non-veg mess, evening snack bar, late-night Maggi kiosk.
- **Clubs** : π-Club (puzzles), Coding-Nights, Carnatic-Music, Anime-Circle, Football.
- **Events** : “Infinity” math fest in September; ICPC regional coding prelims in December.
Alumni Stories
> **Rajiv ’19** → Quant Analyst, Jane Street
> “Proof drills in Part B prepared me for brain-teaser interviews.”
> **Sneha ’20** → PhD, MIT EECS
> “The research seminar in Sem VII gave me my first paper and a strong letter.”
Global Exposure
- 10 % of each batch secures funded *summer research* at EPFL, ENS-Paris, or Waterloo.
- Exchange MoUs with Uni of Bonn and NTU Singapore (one-semester swap, credit transfer).
- ACM-ICPC regionals participation every year since 2013.
Course Comparison
| Feature | CMI BS (Hons) | ISI BMath | IISc BSc (Research) |
| --- | --- | --- | --- |
| Intake | 60 | 50 | 120 |
| Fees / yr | ₹ 1.2 L | ₹ 20 k | ₹ 2 L |
| Core focus | Maths + CS | Pure Maths | Inter-disciplinary STEM |
| Entrance difficulty | High | Very High | Moderate |
| Avg CTC | ₹ 18 LPA | ₹ 12 LPA | ₹ 24 LPA |
| Research thesis | Mandatory (Sem VIII) | Optional | Optional |
Eligibility Criteria
- Passed (or appearing for) Class 12 or equivalent in 2024 / 2025 / 2026.
- Open to all streams, but **strong background in Mathematics expected**.
- No age limit.
- *Direct admission*: students who qualified for IMO/IOI/other listed National Olympiad camps may be exempted from the entrance exam—decided by the Admissions Committee.
Placement
Graduates land roles in **quantitative finance, software engineering, data science and research-oriented positions**. About 20 % of the class proceeds directly to funded MS/PhD programmes at institutes such as MIT, ETH Zürich, CMU and IISc. On-campus recruitment typically happens in January, with resume workshops and mock interviews run by the alumni network.
Course Outcome
Graduates exit with deep mathematical rigour plus practical coding skill, ready for top MS/PhD programmes or high-impact tech roles.
Course Outcomes
1. Abstract reasoning & problem formalisation
2. Algorithmic thinking & software engineering discipline
3. Quantitative data analysis competency
4. Scientific communication—LaTeX papers & oral defence
5. Independent research capability
Industry Applications
- **Quantitative trading & finance**
- **Machine learning & data analytics**
- **Cryptography & cyber-security**
- **Optimisation & operations research**
- **Scientific computing & simulation**
Tools And Technologies
Python · C++ · R · MATLAB · Git · LaTeX · Linux
Learning Pathway
**Concept → Practice → Mock → Review → Revise**
> Master each unit, drill with chapter-wise sets, sit full mocks, analyse gaps, then do targeted revision.
Syllabus Key Takeaway
Proof-centric exam: Calculus + Linear Algebra dominate Part A; discrete-maths proofs headline Part B. Master fundamentals, then practise timed proofs for speed & clarity.
Unit Test Keys
Logic,Algebra,Geometry,Calculus,Combinatorics,Probability
Question Pattern Analysis
| Part | Marks | Typical topic mix (last 3 yrs) |
| --- | --- | --- |
| **A (40 marks)** | MCQ + NAT | Calculus 40 % · Linear Algebra 30 % · NT/Combinatorics 30 % |
| **B (60 marks)** | Long proofs | Proof-based problems drawn roughly 1 each from calculus, combinatorics, number theory, geometry, algebra, inequalities |
**Key rule**: Part B is *checked only if you score ≥ 24 / 40 in Part A*. :contentReference[oaicite:3]{index=3}
Placement Analysis
### Year-on-Year CTC Trend
| Year | Highest (₹ L) | Average (₹ L) | Median (₹ L) |
| --- | --- | --- | --- |
| 2025 | 47 | 18 | 17 |
| 2024 | 62 | 18 | 16 |
| 2023 | 20 | 16 | 15 |
*Insight*: Highest offers fluctuate with quant-firm intake, but **average has held between ₹ 16-18 LPA** for three years, signalling stable market demand.
Cutoff Analysis
### Historical Cut-offs (out of 120 marks)
| Year | Part A screen (40) | Overall cut-off – *No scholarship* | Overall cut-off – *With scholarship* |
| --- | --- | --- | --- |
| **2025** | 16 | 47 (Gen) · 44 (Others) | 59 (Gen) · 49 (Others) |
| **2024** | 11 | 47 (Gen) · 39 (Others) | 58 (Gen) · 47 (Others) |
| **2023** | 8 | 36 (Gen M) · 33 (Others) | — |
*Sources*: cmientranceexam.in cut-off archive :contentReference[oaicite:0]{index=0} and student-shared data matched by MathDigiLab :contentReference[oaicite:1]{index=1}.
#### What this means for 2026
- The **overall cut-off hovers around 40 %** of the paper.
- The 2026 paper has been reduced to **100 marks** (40 MCQ + 60 proof). Scaling the trend → **expect ≈ 40/100** for a general-category offer.
- Part A gate is likely to remain at **~ 10–12 / 40**.
We will update this table on result day for real numbers.
Test Instructions
**Exam-day checklist**
- Reach centre by **13 : 15 IST** with printed admit card & photo ID
- Allowed stationery: HB pencil, blue/black pen, eraser—**no calculators**
- Part A: darken bubbles fully; rough work in margins
- Part B: start each proof on a fresh page; box final answers
- Transparent water bottle permitted; follow 2026 safety advisory
Related Course Ids
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- fb8c4106-1127-4086-b86f-a41da2dd07f7
- 6f443d8f-4bc9-4498-b066-2f3b57d99124
CMI BS Hons preparation resources