NDA 2025 Syllabus

 NDA Mathematics Syllabus

Algebra

• Sets: Operations, Venn diagrams, De Morgan laws, Cartesian product, relations, equivalence relations.
• Real Numbers: Representation on a number line.
• Complex Numbers: Basic properties, modulus, argument, cube roots of unity.
• Number Systems: Converting between decimal and binary systems.
• Progressions: Arithmetic, geometric, and harmonic progressions.
• Quadratic Equations: Solving equations with real coefficients.
• Inequalities: Solving linear inequalities graphically.
• Permutations & Combinations: Counting methods.
• Binomial Theorem: Applications of binomial expansion.
• Logarithms: Basics and applications.
• Matrices & Determinants: Types of matrices, matrix operations, solving systems of equations using Cramer’s rule and matrix method.

Trigonometry

• Angles: Measures in degrees and radians.
• Trigonometric Ratios & Identities: Basic functions and their properties.
• Functions: Sum and difference formulas, multiple angles, inverse functions.
• Applications: Solving height and distance problems, properties of triangles.

Analytical Geometry (2D & 3D)

• 2D Geometry: Coordinate system, distance formula, equation of lines, angle between lines, circle, conics (parabola, ellipse, hyperbola).
• 3D Geometry: Distance between points, direction cosines, planes, lines, and spheres.

Differential Calculus

• Functions: Domain, range, graphing, composite functions.
• Limits & Continuity: Understanding limits and continuous functions.
• Derivatives: Basic rules of derivatives, applications in maxima and minima problems.
• Second-order Derivatives: Advanced derivatives.

Integral Calculus & Differential Equations

• Integration: Basic integration techniques (substitution, by parts), standard integrals.
• Definite Integrals: Finding areas bounded by curves.
• Differential Equations: Understanding order, degree, and solutions of first-order differential equations, including growth and decay problems.

Vector Algebra

• Vectors: Basics of vectors, vector addition, scalar and cross products.
• Applications: Work done by forces, geometrical problems.

Statistics & Probability

• Statistics: Data classification, frequency distribution, graphical representations (histogram, pie chart, etc.), measures of central tendency (mean, median, mode), variance, and standard deviation.
• Probability: Basic probability concepts, events, conditional probability, Bayes' theorem, binomial distribution.

NDA General Ability Test Syllabus

 The NDA General Ability Test Syllabus 2025 is split into two sections: English and General Knowledge. The English section aims to evaluate the candidate's understanding of the language and effective use of words. The syllabus includes key areas such as Grammar, Vocabulary, Comprehension, and the ability to maintain cohesion in extended texts, all designed to assess the candidate's proficiency in English.

 English (Maximum Marks – 200)

This section tests your understanding of English, including:

• Grammar and Usage: Sentence structure, parts of speech.
• Vocabulary: Word meanings and usage.
• Comprehension: Understanding and interpreting passages.
• Cohesion: Connecting ideas and maintaining flow in writing.

General Knowledge (Maximum Marks – 400)

This section covers a range of subjects:

Physics

• Matter & Motion: States of matter, mass, weight, force, momentum, motion, Newton’s Laws, and work.
• Heat & Sound: Effects of heat, temperature, heat transfer, sound waves, light, and reflection/refraction.
• Electricity: Static and current electricity, Ohm’s Law, simple circuits, X-rays, and common electrical devices.
• Magnets & Instruments: Properties of magnets, Earth’s magnetic field, and simple mechanical devices like levers, pulleys, and thermos flasks.

Chemistry

• Chemical Changes: Elements, mixtures, compounds, chemical equations.
• Air & Water: Properties of air and water, preparation of gases like hydrogen, oxygen, and carbon dioxide.
• Acids & Bases: Properties of acids, bases, salts, and common chemicals like soap, glass, and cement.
• Atoms & Elements: Atomic structure, molecular weights, and valency.

General Science

• Life Science: Differences between living and nonliving, cells, tissues, growth, and reproduction in plants and animals.
• Human Body: Basic knowledge of human organs and diseases.
• Food: Sources of energy, balanced diet, and epidemics.
• Astronomy: Solar system, meteors, comets, and eclipses.
• Famous Scientists: Achievements of important scientists.

History & Freedom Movement

• Indian History: Culture, civilization, and history of India.
• Freedom Struggle: Major events in India's independence movement.
• Indian Constitution: Basic structure and government.
• World History: Renaissance, American independence, French revolution, and Russian revolution.
• Impact of Science: Science and technology on society.
• Modern World Concepts: United Nations, democracy, socialism, and India's role globally.

 Geography

• Earth: Shape, size, and movements of the Earth.
• Climate & Weather: Temperature, atmospheric pressure, winds, and types of climate.
• India Geography: Natural resources, agriculture, industries, and important locations like sea ports and trade routes.

Current Events

• India: Major events in India in recent years.
• World: Important global events and personalities.
• Famous Personalities: Key people in politics, culture, and sports, both from India and internationally.

How To Prepare For NDA 2025

Candidates should review the latest NDA Syllabus 2025 before starting their exam preparation. Familiarizing themselves with the topics will help them understand the exam requirements clearly. Here are some tips and strategies for efficient preparation: For Personalized Guidence Book A FREE Call by clicking the link - FREE CALL

1. Understand the Syllabus: Get to know the complete NDA syllabus, including all subjects and subtopics. This will help in creating a structured study plan and allocating time for each section.

2. Study Material: Use recommended NDA books, reference guides, previous years’ question papers, and online resources. Choose reliable sources that cover the syllabus comprehensively.

3. Time Management: Develop a study schedule to ensure adequate time for each subject. Balance your time between Mathematics and General Ability Test (GAT) sections and set specific goals for each session.

4. Practice and Mock Tests: Regularly solve previous years’ question papers and take mock tests to get comfortable with the exam format. This will improve time management, speed, and accuracy while identifying areas for improvement.

5. Stay Updated and Stay Fit: Keep up with current affairs, national and international news, and important developments in subjects like history, geography, and science. Since the NDA also includes a physical fitness test, focus on regular exercise, running, and building stamina.

Additionally, make sure to revise all chapters and subtopics to retain concepts effectively. Practicing quizzes and mock tests will further enhance your speed and accuracy for the exam.