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UPSC NDA Syllabus 2025, NDA Maths and GAT Syllabus

UPSC NDA Syllabus 2025: The UPSC has announced the NDA 1 2025 notification, which includes important details about the NDA syllabus for 2025. If you’re planning to appear for the NDA exam, it’s crucial to familiarize yourself with the syllabus. 

UPSC NDA Syllabus 2025

In this article, we’ve provided a comprehensive guide to the NDA Maths and GAT syllabuses, along with the latest updates. We also highlight the key topics you need to focus on to boost your chances of success in the exam.

UPSC NDA Syllabus 2025

The official UPSC NDA 2025 syllabus was released on December 11, 2024, and aligns closely with the Class 12 curriculum. It covers key subjects such as Maths, English, History, Politics, Economics, General Science, Physics, and Chemistry, offering a well-rounded foundation for the exam. 

To succeed, candidates should study each section carefully. A detailed syllabus guide is now available, outlining the crucial topics to focus on for effective exam preparation.

UPSC NDA Syllabus 2025
Name of the Exam NDA I & II 2025
Exam Conducting Body UPSC
Mode of Exam: Offline
Total Papers in NDA Exam
  • Paper 1: Mathematics
  • Paper 2: General Ability Test (GAT)
Total Marks for NDA Exam Mathematics and GAT 900 Marks
Total No. of Questions
  • Mathematics: 120
  • GAT: 150
Negative Marking
  • Mathematics: -0.83
  • GAT: -1.33 marks
Exam Duration
  • Mathematics: 2 Hours 30 Minutes
  • GAT: 2 Hours 30 Minutes
Official Website upsc.gov.in

UPSC NDA Exam Pattern 2025

The UPSC NDA 2025 exam consists of two main sections: Mathematics and the General Aptitude Test (GAT). These sections are created to evaluate your skills in problem-solving, logical reasoning, and general knowledge. 

If you pass the written exam, you’ll move on to the SSB interview, which assesses your leadership qualities, decision-making skills, and overall personality. Below, you’ll find detailed information about the UPSC NDA 2025 exam pattern.

UPSC NDA Exam Pattern 2025
Subject Duration Total Questions Maximum Marks
Mathematics 2½ Hours 120 300
General Ability Test 2½ Hours 150 600
SSB Test/Interview 5 Days 900
Total 1800

UPSC NDA Syllabus 2025 for Maths

The Mathematics syllabus for the UPSC NDA exam tests a candidate’s quantitative aptitude and problem-solving abilities. It focuses on key topics such as algebra, trigonometry, calculus, and analytical geometry. Understanding these areas and practicing consistently are vital to succeed in this section.

UPSC NDA Syllabus 2025 for Maths
Topic Subtopics
Algebra
  • Sets and Relations: Set operations, Venn diagrams, Cartesian product, relations
  • Real Numbers: Representation, complex numbers, binary conversions
  • Sequences and Series: Arithmetic, geometric, harmonic progressions
  • Quadratic Equations: Solutions and graphical methods
  • Permutations and Combinations: Counting principles, binomial theorem
  • Logarithms: Properties and equations
Matrices and Determinants
  • Types of matrices: Square, diagonal, identity
  • Operations: Addition, multiplication, inverse
  • Determinants up to 3×3, solving linear equations using matrices
Trigonometry
  • Angles and Measures: Degree and radian measurements
  • Trigonometric Ratios: Sine, cosine, tangent
  • Trigonometric Identities: Sum, difference, multiple angle formulas
  • Applications: Height, distance problems, triangle properties
Analytical Geometry (2D & 3D)
  • Cartesian coordinate system, distance formula
  • Equations of lines, circles, and conics
  • 3D Geometry: Points, planes, spheres
Differential Calculus
  • Functions: Domain, range, derivatives
  • Limits, continuity, higher derivatives
  • Applications: Maxima and minima problems
Integral Calculus and Differential Equations
  • Integration methods, definite integrals, area under curves
  • Differential equations, applications in growth and decay
Vector Algebra
  • Vector operations: Dot and cross products
  • Applications: Work done by a force
Statistics and Probability
  • Statistics: Data classification, frequency distribution, central tendency, variance, standard deviation, regression
  • Probability: Random experiments, sample space, binomial distribution

UPSC NDA Marking Scheme For Maths

The UPSC NDA Mathematics marking scheme is designed to assess candidates fairly and effectively. In this section, candidates earn 2.5 marks for each correct answer. However, there is a penalty for incorrect answers, with 0.83 marks deducted for each wrong response to discourage random guessing. 

The Mathematics section contains 120 questions, contributing to a total of 300 marks. Candidates have 2 hours and 30 minutes to complete this portion of the exam. Knowing this marking system is important for applicants, as it helps shape their approach and strategy during the test.

UPSC NDA Syllabus 2025 for GAT

The UPSC NDA Paper 2, or General Ability Test (GAT), encompasses a variety of subjects such as English, general knowledge (GK), chemistry, physics, geography, general science, and current affairs. 

The test consists of 150 questions, with 50 questions on English and 100 on general knowledge. The entire section is worth 600 marks. Below is an overview of the UPSC NDA GAT Syllabus 2025.

UPSC NDA GAT Syllabus 2025 Part A

The English syllabus for the UPSC NDA exam consists of various essential topics that help candidates prepare effectively.

UPSC NDA English Syllabus 2025
Topic Subtopics
Grammar and Usage
    • Parts of Speech: Nouns, Pronouns, Adjectives, Verbs, Adverbs, Conjunctions, Prepositions, Interjections
  • Subject-Verb Agreement
    • Tenses: Present, Past, and Future
  • Active and Passive Voice
  • Coherence and Unity: Theme, ideas, paragraph structure
  • Vocabulary: Synonyms, Antonyms, One-word Substitutions, Idioms, Phrases, commonly confused words
Comprehension
  • Passage Interpretation: Extract meaning from passages
  • Inferences: Draw conclusions from the passage
  • Vocabulary in Context: Apply Synonyms, Antonyms, One-word Substitutions, Idioms, Phrases in context
Expression
  • Simple Sentence Structure
    • Punctuation: Commas, full stops, question marks, exclamation marks, apostrophes
    • Conjunctions: Coordinating and Subordinating conjunctions
  • Adverbs and Prepositions
  • Direct and Indirect Speech
  • Comparison: Degrees of Comparison for adjectives
  • Articles: Definite and indefinite articles
  • Verbs: Auxiliary, Modal, Regular, and Irregular verbs
  • Sentence Correction: Spot errors and sentence improvement

UPSC NDA GAT Syllabus 2025 Part B

The UPSC NDA 2025 General Ability Test (GAT) syllabus includes six key sections that candidates must prepare thoroughly. These sections cover a wide range of subjects: Physics, Chemistry, General Science, History, Geography, and Current Affairs. The exam will assess candidates’ knowledge in these areas, so a solid understanding of each topic is essential for success.

UPSC NDA Physics Syllabus 2025 (Section A)

This section tests knowledge on topics like mass, weight, pressure, and Newton’s laws of motion. The list of topics includes:

  • Physical Properties of Matter
  • Mass, Weight, Volume, Density, and Specific Gravity
  • Archimedes’ Principle
  • Pressure Measurement and Barometer
  • Motion, Velocity, and Acceleration
  • Newton’s Laws of Motion
  • Force, Momentum, and Stability
  • Gravitational Force
  • Energy, Work, and Power
  • Heat and Temperature
  • Light Reflection, Refraction, and Optics
  • Magnets and Electromagnetism
  • Electricity and Magnetism
  • Simple Machines and Electrical Principles

UPSC NDA Chemistry Syllabus 2025 (Section B)

In this section, questions focus on elements, mixtures, acids, bases, and more. Key topics include:

  • Physical and Chemical Changes
  • Elements, Compounds, and Mixtures
  • Chemical Formulae and Equations
  • Chemical Properties of Air and Water
  • Oxidation and Reduction
  • Acids, Bases, and Salts
  • Carbon, Fertilizers, and Materials in Manufacturing
  • Atomic Structure and Molecule Weight

UPSC NDA General Science Syllabus 2025 (Section C)

This section covers basic topics in biology and life sciences, such as:

  • Difference Between Living and Non-living Organisms
  • Human Body Functions and Common Diseases
  • Food and Nutrition, Balanced Diet
  • Solar System and Celestial Events

UPSC NDA History Syllabus 2025 (Section D)

History-related questions include movements, revolutions, and India’s political development, focusing on topics like:

  • Indian History and Freedom Movements
  • Indian Constitution and Administration
  • Impact of Modern Revolutions (French, Industrial, etc.)
  • Science, Technology, and Global Concepts (e.g., United Nations, Socialism, Democracy)

UPSC NDA Geography Syllabus 2025 (Section E)

Geography questions test knowledge of the earth’s structure, climate, and natural resources. Main topics include:

  • Earth’s Shape, Size, and Movements
  • Weather, Cyclones, and Earthquakes
  • Ocean Currents, Tides, and Climate
  • India’s Regional Geography and Resources

UPSC NDA Current Affairs Syllabus 2025 (Section F)

This section assesses knowledge on important national and international events, prominent personalities, and recent developments in various fields.

Note: The exam’s weighting for each section is as follows: Section A (Physics) – 25%, Section B (Chemistry) – 15%, Section C (General Science) – 10%, Section D (History) – 20%, Section E (Geography) – 20%, and Section F (Current Affairs) – 10%.

UPSC NDA Syllabus 2025 for Intelligence and Personality Test

The UPSC NDA SSB syllabus for 2025 includes a two-stage selection process: Stage I and Stage II. Candidates who successfully pass Stage I are eligible to take Stage II. Below is the detailed UPSC NDA Syllabus 2025 for the Intelligence and Personality Test.

UPSC NDA Syllabus 2025 for SSB
Subject Important Topics
Stage I
  • Officer Intelligence Rating (OIR) tests
  • Picture Perception Description Test (PP&DT)
Stage II
  • Interview
  • Group Testing Officer Tasks
  • Psychology Tests
  • Conference

UPSC NDA Syllabus 2025 FAQs

What is the UPSC NDA 2025 exam pattern?
The UPSC NDA 2025 exam consists of two papers: Mathematics (300 marks) and General Ability Test (600 marks).

How many questions are there in the UPSC NDA 2025 Mathematics paper?
The UPSC NDA 2025 Mathematics paper includes 120 questions.

What subjects are covered in the UPSC NDA 2025 General Ability Test (GAT)?
The GAT includes English, Physics, Chemistry, General Science, Geography, History, and Current Affairs.

What is the duration of the UPSC NDA exam?
Both the Mathematics and GAT papers are 2 hours and 30 minutes long.

What is the negative marking in the UPSC NDA 2025 exam?
In Mathematics, 0.83 marks are deducted for each wrong answer, and in GAT, 1.33 marks are deducted.

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