UPSC NDA & NA Syllabus 2026 PDF – Maths & GAT Subject-Wise Syllabus

The Union Public Service Commission (UPSC) conducts the National Defence Academy (NDA) & Naval Academy (NA) Examination twice every year. Candidates preparing for the UPSC NDA & NA Examination 2026 must clearly understand the latest syllabus and exam pattern to score well in the written examination.

In this post, we have provided the complete and official NDA & NA syllabus 2026 for Mathematics and General Ability Test (GAT) as prescribed by UPSC.

UPSC NDA & NA Exam Overview

  • Exam Name: UPSC NDA & NA Examination
  • Conducting Authority: Union Public Service Commission (UPSC)
  • Exam Level: National
  • Mode of Exam: Offline (Pen & Paper)
  • Type of Questions: Objective (MCQs)
  • Total Marks (Written Exam): 900

NDA & NA Exam Pattern 2026

The written examination is common for both NDA and Naval Academy (NA) candidates and consists of two papers.

PaperSubjectMarksDuration
Paper IMathematics3002.5 Hours
Paper IIGeneral Ability Test (GAT)6002.5 Hours
Total900

⚠️ Negative marking is applicable for incorrect answers.

NDA & NA Syllabus – Are They Different?

Many candidates get confused between NDA syllabus and NA syllabus.

✔️ The NDA and Naval Academy (NA) have the SAME written examination syllabus.
✔️ There is no separate syllabus for NA.
✔️ Both candidates appear for Mathematics and GAT papers.

The difference between NDA and NA comes after the written exam, during:

  • SSB Interview
  • Medical examination
  • Final service and academy allocation

NDA & NA Syllabus 2026 – Mathematics (Paper I)

The Mathematics syllabus is based on Class 11 and Class 12 level concepts.

1. Algebra

  • Sets, relations, and functions
  • Complex numbers
  • Quadratic equations
  • Arithmetic, Geometric, and Harmonic Progressions
  • Permutations and combinations
  • Binomial theorem
  • Logarithms

2. Matrices and Determinants

  • Types of matrices
  • Determinants and their properties
  • Inverse of matrices
  • Solution of linear equations

3. Trigonometry

  • Trigonometric ratios and identities
  • Heights and distances
  • Inverse trigonometric functions

4. Analytical Geometry

  • Straight lines
  • Circles
  • Parabola, ellipse, and hyperbola

5. Differential Calculus

  • Limits and continuity
  • Differentiation
  • Applications of derivatives

6. Integral Calculus

  • Integration techniques
  • Definite integrals
  • Area under curves

7. Vector Algebra

  • Vectors and scalars
  • Dot and cross products

8. Statistics & Probability

  • Mean, median, and mode
  • Basic probability concepts

NDA & NA Syllabus 2026 – General Ability Test (GAT)

The GAT paper tests a candidate’s English language skills and general awareness.

Marks Distribution

  • English: 200 Marks
  • General Knowledge: 400 Marks

English Syllabus

  • Grammar and usage
  • Vocabulary
  • Comprehension passages
  • Sentence correction
  • Synonyms and antonyms

General Knowledge Syllabus

Physics

  • Motion and laws of motion
  • Work, energy, and power
  • Heat and thermodynamics
  • Sound and light
  • Electricity and magnetism

Chemistry

  • Physical and chemical changes
  • Acids, bases, and salts
  • Metals and non-metals
  • Carbon and its compounds

General Science

  • Human body and nutrition
  • Diseases and prevention
  • Environmental science

History

  • Ancient, medieval, and modern Indian history
  • Freedom struggle
  • Important historical events

Geography

  • Earth and universe
  • Climate and weather
  • Indian geography
  • Natural resources

Current Events

  • National and international events
  • Defence-related news
  • Sports, awards, and honours

NDA & NA SSB Interview (900 Marks)

Candidates who qualify the written examination are called for the SSB Interview, which includes:

  • Intelligence tests
  • Psychological tests
  • Group tasks
  • Personal interview

Final selection is based on written exam + SSB marks.


NDA & NA Preparation Tips

  • Focus on accuracy in Mathematics
  • Read newspapers daily for current affairs
  • Study NCERT Class 11 & 12 books thoroughly
  • Solve previous year NDA question papers
  • Take mock tests regularly

NDA & NA Syllabus 2026 PDF

Candidates are advised to download the official NDA & NA syllabus PDF down below or from the UPSC website for complete and authentic details.

Important Links

 Join our channels for latest govt job updates:


Frequently Asked Questions (FAQs)

Q1. Is NDA and NA syllabus the same?

👉 Yes, NDA and Naval Academy (NA) have the same written exam syllabus.

Q2. What is the total marks of NDA & NA written exam?

👉 The written examination is conducted for 900 marks.

Q3. Is NDA syllabus based on NCERT?

👉 Yes, the NDA & NA syllabus is mainly based on Class 11 and 12 NCERT level.

Q4. Is there negative marking in NDA & NA exam?

👉 Yes, negative marking is applicable for wrong answers.


Understanding the UPSC NDA & NA syllabus 2026 is the first and most important step for cracking the examination. Since the syllabus is common for both NDA and Naval Academy, candidates should prepare smartly by following the official exam pattern and topic-wise syllabus.


Leave a Comment

Your email address will not be published. Required fields are marked *

Scroll to Top