Govt Exam Syllabus

NDA Syllabus 2026, Check Mathematics & GAT Syllabus

The Union Public Service Commission (UPSC) releases the NDA Syllabus 2026 through the official notification. Candidates preparing for the NDA Exam 2026 should familiarize themselves with the syllabus for both NDA 1 and NDA 2 to understand the topics they need to study. The syllabus is divided into two main subjects: Mathematics and General Ability Test.

The NDA 2026 exam consists of objective-type questions, and candidates need to understand the format and requirements of the exam. Along with the syllabus, it’s essential to review the NDA Exam Pattern 2026 to better prepare for the test.

NDA 2026 Exam Details

Feature Details
Conducting Authority Union Public Service Commission (UPSC)
Exam Name National Defence Academy (NDA) 2026
Exam Frequency Twice a Year (NDA 1 and NDA 2)
Exam Mode Offline (Pen-and-Paper)
Subjects Mathematics, General Ability Test (GAT)
Maximum Marks 900 (Mathematics – 300, GAT – 600)
Negative Marking 1/3rd marks for incorrect answers
Duration 2.5 hours for each paper
Official Website upsc.gov.in

NDA Syllabus 2026

The NDA Syllabus is divided into Mathematics and General Ability Test (GAT). The General Ability Test further includes two parts: English and General Knowledge.

NDA Mathematics Syllabus 2026

The Mathematics section covers a wide range of topics, including algebra, geometry, calculus, and statistics. Here’s a breakdown of the key topics:

Topic Details
Algebra Set theory, complex numbers, quadratic equations, progressions, logarithms, permutation and combination
Matrices and Determinants Types of matrices, operations, Cramer’s rule, solving linear equations
Trigonometry Trig ratios, identities, inverse functions, height and distance
Analytical Geometry Cartesian coordinates, equations of lines, circles, conics, 3D geometry
Differential Calculus Limits, derivatives, maxima and minima, applications of derivatives
Integral Calculus Integration techniques, definite integrals, areas under curves, differential equations
Vector Algebra Vectors in 2D and 3D, dot and cross products, applications
Statistics and Probability Data classification, central tendency, probability theory, binomial distribution

1. Algebra & Vector Algebra (≈ 30–33%)

Marks: 90–100
Questions: 36–40

Topics:

  • Sets, Relations & Functions
  • Complex Numbers
  • Quadratic Equations
  • Logarithms
  • Sequences & Series (AP, GP)
  • Permutations & Combinations
  • Binomial Theorem
  • Matrices basics (sometimes overlaps)
  • Vector Algebra:
    • Vector operations
    • Dot & Cross Product
    • Applications

Most important topic of NDA Maths

2. Calculus (Differential + Integral) (≈ 18%)

Marks: 50–60
Questions: 20–25

Topics:

  • Limits & Continuity
  • Differentiation:
    • First principles
    • Rules (product, quotient, chain)
  • Applications of Derivatives:
    • Maxima & Minima
    • Increasing/Decreasing functions
  • Integration:
    • Substitution
    • By parts
  • Definite Integrals
  • Differential Equations

 High scoring + conceptual section

3. Trigonometry (≈ 15–17%)

Marks: 45–50
Questions: ~20

Topics:

  • Trigonometric Ratios
  • Identities
  • Trigonometric Equations
  • Inverse Trigonometry
  • Heights & Distances

Easy + scoring if concepts clear

4. Analytical Geometry (2D & 3D) (≈ 15–17%)

Marks: 45–50
Questions: ~20

Topics:

2D Geometry:

  • Straight Line
  • Circle
  • Parabola
  • Ellipse
  • Hyperbola

3D Geometry:

  • Distance formula
  • Direction cosines
  • Lines & Planes

5. Matrices & Determinants (≈ 8%)

Marks: 20–25
Questions: ~10

Topics:

  • Types of matrices
  • Matrix operations
  • Determinants
  • Adjoint & Inverse
  • Solution of linear equations

6. Statistics & Probability (≈ 8%)

Marks: 20–25
Questions: ~10

Topics:

Statistics:

  • Mean, Median, Mode
  • Variance & Standard Deviation

Probability:

  • Sample space
  • Conditional Probability
  • Bayes Theorem
  • Binomial Distribution

7. Complex Numbers (≈ 8–10%)

Marks: 25–30
Questions: 10–15

Topics:

  • Argand Plane
  • Modulus & Argument
  • Algebra of complex numbers
  • Cube roots of unity

NDA Maths Weightage Table (Quick Revision)

Topic Questions Marks Weightage
Algebra + Vectors 36–40 90–100 30–33%
Calculus 20–25 50–60 18%
Trigonometry ~20 ~50 15–17%
Analytical Geometry ~20 ~50 15–17%
Matrices & Determinants ~10 ~25 8%
Statistics & Probability ~10 ~25 8%
Complex Numbers 10–15 25–30 8–10%

Data based on recent exam trends

Most Important Topics (High Priority)

Focus first on:

  • Algebra
  • Calculus
  • Trigonometry
  • Coordinate Geometry

 These alone cover ~70% of paper

NDA General Ability Test (GAT) Syllabus 2026

1. NDA English Syllabus

The English section tests candidates’ proficiency in the English language, focusing on grammar, vocabulary, and comprehension.

Topic Details
Spotting Errors Identifying grammatical errors in sentences
Comprehension Understanding and answering questions based on a passage
Vocabulary Synonyms, antonyms, word usage
Sentence Improvement Correcting sentence structure
Ordering Words in Sentences Arranging jumbled words to form meaningful sentences

2. NDA General Knowledge Syllabus

The General Knowledge section covers topics from various subjects like Physics, Chemistry, General Science, History, Geography, and Current Events. Below are the key topics:

Subject Key Topics
Physics Mechanics, motion, Newton’s laws, electricity, magnetism, heat, sound, light, optics
Chemistry Elements, compounds, chemical reactions, acids, bases, oxidation-reduction
General Science Life sciences, human body, diseases, food, energy, solar system
History and Freedom Movement Indian history, freedom struggle, constitutional developments, National Integration
Geography Earth’s structure, climate, minerals, natural resources, world geography, regional geography of India
Current Affairs Important events in India and worldwide, sports, awards, and personalities

Section 1: English (200 Marks)

Topics + Weightage

Topic Expected Questions Marks Weightage
Grammar (Tenses, Articles, Prepositions, Voice) 10–12 40–50 25%
Vocabulary (Synonyms, Antonyms, Idioms) 10–12 40–50 25%
Comprehension Passage 12–15 50–60 30%
Sentence Arrangement (Para Jumbles) 8–10 30–40 20%

Important Topics:

  • Error spotting
  • Fill in the blanks
  • One-word substitution
  • Sentence improvement
  • Cloze test

English is scoring if basics are strong.

Section 2: General Knowledge (400 Marks)

This is divided into multiple subjects

1. Physics (High Weightage)

Topics:

  • Physical properties & states of matter
  • Motion, Laws of Motion
  • Work, Energy & Power
  • Heat & Thermodynamics
  • Sound waves
  • Optics (reflection, refraction)
  • Electricity & Magnetism
  • Modern Physics

Weightage: ~20–25% (80–100 marks approx.)

2. Chemistry

Topics:

  • Physical & Chemical changes
  • Atomic structure
  • Acids, Bases, Salts
  • Metals & Non-metals
  • Carbon compounds
  • Periodic Table
  • Chemical reactions

Weightage: ~10–15% (40–60 marks)

3. General Science (Biology)

Topics:

  • Human body systems
  • Cell & tissues
  • Plant physiology
  • Nutrition & diseases
  • Ecology & environment

Weightage: ~10–15% (40–60 marks)

4. History (India & World)

Topics:

  • Ancient India (Indus Valley, Vedic Age)
  • Medieval India (Delhi Sultanate, Mughals)
  • Modern India (Freedom struggle)
  • World History basics

Weightage: ~15–20% (60–80 marks)

5. Geography

Topics:

  • Earth structure
  • Climate & weather
  • Rivers, mountains, resources
  • India geography (soil, agriculture)
  • World geography basics

Weightage: ~10–15% (40–60 marks)

6. Current Affairs

Topics:

  • National & International events
  • Defence exercises
  • Awards & honors
  • Sports
  • Important dates

Weightage: ~5–10% (20–40 marks)

Overall Weightage Summary

Section Marks Weightage
English 200 33.33%
GK (Science + Humanities + CA) 400 66.67%

 GK carries double weightage of English

Most Important Topics (High Scoring)

English:

  • Comprehension
  • Grammar rules
  • Vocabulary

Science:

  • Physics numericals & concepts
  • Basic Chemistry reactions
  • Biology (NCERT-based)

Humanities:

  • Modern History
  • Physical Geography

NDA Exam Pattern 2026

Understanding the NDA exam pattern helps candidates align their preparation strategy. Below is the detailed exam pattern for Mathematics and General Ability Test (GAT).

NDA Exam Pattern 2026: Mathematics & GAT

Subject Mathematics General Ability Test (GAT)
Number of Questions 120 150
Maximum Marks 300 600
Marks per Correct Answer 2.5 4
Marks per Incorrect Answer -0.83 -1.33
Duration 2.5 hours 2.5 hours

SSB Test and Interview (NDA 2026)

After the written exam, candidates who qualify will appear for the Service Selection Board (SSB) Test/Interview. The SSB assesses candidates’ intelligence and personality. It consists of two stages:

  • Stage I: Officer Intelligence Rating (OIR) Test, Picture Perception & Description Test (PP&DT)
  • Stage II: Interview, Group Testing Officer Tasks, Psychological Tests, and Conference

The SSB is an essential part of the NDA selection process, testing candidates’ overall suitability for a career in the Indian Armed Forces.

Brajesh

Brajesh (MCA, M.Tech (IT)) is a passionate education and career content creator with a strong academic background in Computer Applications (MCA) and Technology (M.Tech). With years of hands-on experience in exam preparation strategies, syllabus analysis, and government job updates, he helps students and aspirants navigate their academic and professional journeys with clarity and confidence.

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