NDA & NA Syllabus:For admission to Indian Navy, Army, and Air Force Wings, the Union Public Service Commission administers the National Defense Academy (NDA) and Naval Academy (NA) exams twice a year. The minimum educational need is a 10+2 pattern 12th class pass. There are two phases to the exam: a written exam and an interview.The following are the specifics of the syllabus:
Syllabus of the Examination:
PAPER-I: MATHEMATICS (Maximum Marks- 300)
1. ALGEBRA: Set concept, set operations, and Venn diagrams. Laws de Morgan. Equivalency relation, Cartesian product, and relation. real numbers displayed on a line. Basic characteristics, modulus, argument, and cube roots of unity of complex numbers. Number system in binary. number conversion from the binary system to the decimal system and vice versa. progressions in arithmetic, geometry, and harmony. real coefficient quadratic equations. Graphs are used to solve linear equations involving two variables. Combination and Permutation. The binomial theorem and its uses. Logarithmic Functions and Their Applications.
2. MATRICES AND DETERMINANTS: Matrix types and matrix operations. matrix determinant; fundamental characteristics of determinants. Inverse and next to a square matrix, Utilization – solution of a system of linear equations with the matrix method and Cramer’s rule in two or three unknowns.
3.TRIGONOMETRY: Angles and the degrees and radians they are measured in. ratios of trigonometry. Trigonometric formulas Formulas for sum and difference. Angles that are multiple or sub-multiple. Trigonometric functions in reverse. Applications: Triangle properties; height and distance.
4. ANALYTICAL GEOMETRY OF TWO AND THREE DIMENSIONS:Square-shaped Cartesian Sync up the system. Distance equation. several variants of a line’s equation. An angle formed by two lines. A point’s separation from a line. Circle equation in both standard and general form. standard ellipse, hyperbola, and parabola shapes. A conic’s eccentricity and axis. Point: The separation between two points in three dimensions. Direction ratios and cosines of direction. equation in many forms of a plane and a line. the angle formed by two lines and two planes. formula for a sphere.
5. DIFFERENTIAL CALCULUS: Domain, range, and graph of a function are concepts related to real valued functions. One to one, onto, inverse, and composite functions are all possible. Concept of limit; Examples of standard limits. Function continuity: illustrations and algebraic procedures on continuous functions. Function derivative at a point, applications of a derivative in geometry and physics, etc. Function derivatives include those of a sum, product, and quotient as well as those of a function with regard to another function and a composite function. derivatives of second order. Functions that increase and decrease. Utilizing derivatives in maxima and minima issues.
6. INTEGRAL CALCULUS AND DIFFERENTIAL EQUATIONS:Integration is the opposite of differentiation, typical integrals including algebraic equations, trigonometric, exponential, and hyperbolic functions, as well as integration by substitution and by parts. Applications: evaluation of definite integrals; area calculation of flat regions enclosed by curves. The development of a differential equation through instances, along with the definition of its order and degree. Examples of differential equation solutions include general and specific solutions, as well as first order and first degree solutions of various kinds. application to growth and degradation issues.
7. VECTOR ALGEBRA: Vectors in two and three dimensions, as well as their magnitude and direction. Vector addition, scalar multiplication of a vector, scalar product, and dot product of two vectors are examples of unit and null vectors. product of two vectors, or cross product. Applications are tasks carried out using forces and their moments as well as in geometric issues.
8. STATISTICS AND PROBABILITY: Statistics: Examples include cumulative frequency distribution, frequency distribution, and data classification. Examples of graphical representation include frequency polygons, histograms, and pie charts. Central tendency measurements include mean, median, and mode. Calculating and comparing variance and standard deviation. regression and correlation. Probability includes occurrences, mutually exclusive and exhaustive events, impossible and certain events, random experiments, and associated sample spaces. intersection and union of the happenings. Events that are complementary, basic, and composite. Examples of probability defined using classical and statistical methods. Elementary theorems on probability – simple problems. Basic issues: Bayes’ theorem, conditional probability. The random variable as a function on the space of samples. Examples of random experiments leading to the Binomial distribution are provided.
PAPER-II: GENERAL ABILITY TEST (Maximum Marks-600)
Part ‘A’ – ENGLISH (Maximum Marks 200)
The purpose of the English question paper is to assess the candidate’s command of the language and ability to apply words in a practical manner. To assess a candidate’s English ability, the syllabus includes a variety of topics, including grammar and usage, vocabulary, comprehension, and coherence in extended texts.
Part ‘B’ – GENERAL KNOWLEDGE (Maximum Marks-400)
The general knowledge question paper will touch on the following topics: general science, chemistry, physics, social studies, geography, and current events. The following syllabus aims to provide an overview of the range of topics covered in this paper. Questions on related subjects not covered in detail in the curriculum are welcome, and the topics included should not be viewed as exhaustive. The responses provided by candidates are supposed to demonstrate their subject-matter expertise and thoughtful comprehension.
Section ‘A’ (Physics): Physical attributes and states of matter, including density, specific gravity, mass, weight, and volume Archimedes principle, Barometer for pressure. Motion of things, acceleration and velocity, Newton’s Laws of Motion, force and momentum, force parallelogram, body equilibrium and stability, gravity, fundamental concepts of work, power, and energy. The effects of heat, temperature and heat measurement, latent heat and state change, and heat transmission modes. sound waves’ characteristics, simple instruments for music. Light propagation by rectilinear reflection, refraction, and reflection. lens and mirror spherical. Human Sight. Magnets: Natural and Man-made, Magnet Properties, Earth as a Magnet.Ohm’s Law, conductors and non-conductors, static and current electricity, basic electrical circuits, lighting, heating, and the magnetic effects of current Utilizing X-rays, measuring electrical power, and primary and secondary cells. Basic Pendulum, Simple Pulleys, Siphon, Levers, Balloon, Pumps, Hydrometer, Pressure Cooker, Thermos Flask, Gramophone, Telegraphs, Telephone, Microscope, Telescope, Periscope, Mariner’s Compass, Lighting Conductors, Safety Fuses… are some general principles that govern how these devices operate.
Section ‘B’ (Chemistry): Both chemical and physical changes. Symbols, Formulas and Basic Chemical Equations, Elements, Mixtures and Compounds, Law of Chemical Combination (apart from issues). characteristics of water and air. Hydrogen preparation, oxygen, nitrogen, and carbon dioxide properties, as well as oxidation and reduction. salts, bases, and acids. Different types of carbon. Natural and artificial materials called fertilizers are used to make items like soap, glass, paints, paper, glue, safety matches, and gunpowder. Basic concepts about Atomic Structure, Atomic, Equivalent, and Molecular Weights, and Valency.
Section ‘C’ (General Science): The distinction between living and non-living things. The components of life are tissues, protoplasm, and cells. Development and Procreation in Animals and Plants. basic understanding of the human body and its vital organs. Causes, prevention, and common epidemics. Man’s source of energy is food. components of food, a diet that is balanced. Eclipses, comets, and meteors in the solar system. The accomplishments of renowned scientists.
Section ‘D’ (History, Freedom Movement etc.):An extensive examination of Indian history with a focus on cultures and civilizations. The Indian Freedom Movement. An introduction to the Constitution and Administration of India. basic understanding of India’s five-year plans. Cooperatives, Community Development, and Panchayati Raj. Mahatma Gandhi’s Basic Teachings: Bhoodan, Sarvodaya, National Integration and Welfare State. Modern world-shaping factors include the War of American Independence, Renaissance, and Exploration and Discovery. Russia, the Industrial Revolution, and the French Revolution. Science and technology’s effects on society. notions of democracy, panchsheel, the United Nations, and one world. Communism and socialism. India’s place in the modern world.
Section ‘E’ (Geography): The dimensions and form of the Earth. Concept of time, latitudes and longitudes. Line of International Date. Earth’s movements and their consequences. Earth’s beginnings. The categorization of rocks Earthquakes, volcanoes, and mechanical and chemical weathering. Ocean Tides and Currents The composition of the atmosphere, temperature, atmospheric pressure, cyclones, anti-cyclones, planetary winds, humidity, precipitation, condensation, and types of climate. World’s major natural regions. India’s regional geography: climate and native plants. Resources for minerals and electricity; the placement and allocation of industrial and agricultural activity. Major seaports and India’s primary land, sea, and aviation routes. principal products that India imports and exports.
Section ‘F’ (Current Events): Awareness of significant events that have occurred recently in India. current, significant global occurrences. notable individuals, both domestically and abroad, including those involved in sports and culture.
NOTE : Questions on Sections A, B, C, D, E, and F will carry roughly 25%, 15%, 10%, 20%, 20%, and 10% weight ages out of the maximum marks allotted to Part B of this paper, respectively.
