Welcome to Target Defence Academy here we have detailed syllabus for NDA. NDA written examination is divided into two papers namely Mathematics and General Ability Test (GAT). The boys and girls who are seeking to apply for NDA must begin their preparation for the written exam by following the detailed NDA Syllabus which has been discussed in this article.
Important Information about NDA Exam:
Name of the Exam
National Defence Academy (NDA)
Conducting Body
Union Public Service Commission, UPSC.
Frequency Of Exam
Twice in a Year (April & September)
Selection Process
Written Test consisting of Objective Type Questions Intelligence & Personality Test (SSB)
Mode of exam
Offline
Papers in NDA Exam
Mathematics & General Ability Test
Marks Segregation
Mathematics: 300 Marks, GAT: 600 Marks
Total No. of Questions
Mathematics: 120, GAT: 150
Negative Marking
Mathematics: -0.83, GAT: -1.33 marks
Exam Duration
2.5 Hours For Each Paper (5 hours total)
Language of Question Paper
English &Hindi English Language paper has to be attempted in English.
After getting to know the NDA Exam Pattern it is important for the candidates to know the Syllabus of NDA Exam. The NDA Syllabus is discussed below.
NDA Maths Syllabus:
The chapters covered for NDA Maths Syllabus are given in the table below.
Mathematics
Topic
Topic-wise Syllabus
Algebra
Sets, Venn diagrams, De Morgan laws, Cartesian product, relation, equivalence relation. Real numbers, Complex numbers, Modulus, Cube roots, Conversion of a number in Binary system to Decimals, and vice-versa. Arithmetic, Geometric and Harmonic progressions. Quadratic equations, Linear inequations, Permutation and Combination, Binomial theorem, and Logarithms.
Calculus
Concept of a real-valued function, domain, range, and graph of a function. Composite functions, one-to-one, onto, and inverse functions. The notion of limit, Standard limits, Continuity of functions, algebraic operations on continuous functions. Derivative of function at a point, geometrical and physical interpretation of a derivative-application. Derivatives of sum, product, and quotient of functions, a derivative of a function concerning another function, the derivative of a composite function. Second-order derivatives. Increasing and decreasing functions. Application of derivatives in problems of maxima and minima
Matrices and Determinants
Types of matrices, operations on matrices. Determinant of a matrix, basic properties of determinants. Adjoint and inverse of a square matrix, Applications-Solution of a system of linear equations in two or three unknowns by Cramer’s rule and by Matrix Method.
Integral Calculus and Differential Equations
Integration as inverse of differentiation, integration by substitution and by parts, standard integrals involving algebraic expressions, trigonometric, exponential, and hyperbolic functions. Evaluation of definite integrals—determination of areas of plane regions bounded by curves—applications.Definition of order and degree of a differential equation, formation of a differential equation by examples. General and particular solution of differential equations, solution of the first order, and first-degree differential equations of various types—examples. Application in problems of growth and decay.
Trigonometry
Angles and their measures in degrees and radians. Trigonometric ratios. Trigonometric identities Sum and difference formulae. Multiple and Sub-multiple angles. Inverse trigonometric functions. Applications-Height and distance, properties of triangles.
Vector Algebra
Vectors in two and three dimensions, magnitude, and direction of a vector. Unit and null vectors, the addition of vectors, scalar multiplication of a vector, scalar product, or dot product of two vectors. Vector product or cross product of two vectors. Applications—work done by a force and moment of a force and in geometrical problems.
Analytical Geometry Of Two and Three Dimension
Rectangular Cartesian Coordinate system. Distance formula. Equation of a line in various forms. The angle between two lines. Distance of a point from a line. Equation of a circle in standard and a general form. Standard forms of parabola, ellipse, and hyperbola. Eccentricity and axis of a conic. Point in a three-dimensional space, the distance between two points. Direction Cosines and direction ratios. Equation two points. Direction Cosines and direction ratios. Equation of a plane and a line in various forms. The angle between two lines and the angle between two planes. Equation of a sphere.
Statistics and Probability
Probability: Random experiment, outcomes, and associated sample space, events, mutually exclusive and exhaustive events, impossible and certain events. Union and Intersection of events. Complementary, elementary, and composite events. Definition of probability—classical and statistical—examples. Elementary theorems on probability—simple problems. Conditional probability, Bayes’ theorem—simple problems. Random variable as function on a sample space. Binomial distribution, examples of random experiments giving rise to Binomial distribution.
The topic-wise question distribution in Maths
Topic
Questions
Calculus
20-25
Quadratic equation
20-15
Geometry, Matrices & Determinants
30
Statistics & Probability
10
Trigonometry
30
Complex number
10-15
NDA General Ability Test Syllabus:
The General ability test comprises two papers English and General Knowledge. The English paper consists of 200 Marks while the General Knowledge is of 400 Marks.
NDA Syllabus- English
The question paper in English will be designed to test the candidate’s understanding of English. The syllabus covers various aspects like as given below:
Topic
No. of Questions
No. of Marks
Spotting Errors
5
20
Comprehension
6
24
Selecting Words
10
40
Ordering of Words in a Sentence
9
36
Sentence Improvement
10
40
Antonyms
5
20
Synonyms
5
20
Total
50
200
NDA Syllabus- General Knowledge
Check the topic-wise number of questions and marks distribution in the table below.
Topic
No. of Questions
No. of Marks
Physics
23
92
Chemistry
16
64
General Science
11
44
History & Freedom Movement
16
64
Geography
17
68
Current Events
17
68
Total
100
400
NDA Syllabus- Physics
NDA Syllabus For Physics
Physical Properties and States of Matter Modes of transference of Heat Mass, Weight, Volume, Sound waves and their properties Simple musical instruments Rectilinear propagation of Light Density and Specific Gravity Reflection and refraction Principle of Archimedes Spherical mirrors and Lenses Pressure Barometer Human Eye Motion of objects Natural and Artificial Magnets Velocity and Acceleration Properties of a Magnet Newton’s Laws of Motion Earth as a Magnet Force and Momentum Static and Current Electricity Parallelogram of Forces Conductors and Non-conductors Stability and Equilibrium of bodies Ohm’s Law Gravitation Simple Electrical Circuits Elementary ideas of work Heating, Lighting, and Magnetic effects of Current Power and Energy Measurement of Electrical Power Effects of Heat Primary and Secondary Cells Measurement of Temperature and Heat Use of X-Rays General Principles in the working of Simple Pendulum, Simple Pulleys, Siphon, Levers, Balloon, Pumps, Hydrometer, Pressure Cooker, Thermos Flask, Gramophone, Telegraphs, Telephone, Periscope, Telescope, Microscope, Mariner’s Compass; Lightning Conductors, Safety Fuses.
NDA Syllabus- Chemistry
NDA Syllabus For Chemistry
Preparation and Properties of Hydrogen, Oxygen, Nitrogen and Carbon Dioxide, Oxidation and Reduction. Acids, bases and salts. Carbon— different forms Physical and Chemical Changes Fertilizers—Natural and Artificial Elements Material used in the preparation of substances like Soap, Glass, Ink, Paper, Cement, Paints, Safety Matches, and Gunpowder Mixtures and Compounds Elementary ideas about the structure of Atom Symbols, Formulae, and simple Chemical Equation Atomic Equivalent and Molecular Weights Law of Chemical Combination (excluding problems) Valency Properties of Air and Water
NDA Syllabus- General Science
NDA Syllabus For General Science
Common Epidemics, their causes, and prevention Difference between the living and non-living Food—Source of Energy for man Basis of Life—Cells, Protoplasms, and Tissues Constituents of food Growth and Reproduction in Plants and Animals Balanced Diet Elementary knowledge of the Human Body and its important organs The Solar System—Meteors and Comets, Eclipses. Achievements of Eminent Scientists
NDA Syllabus- History, Freedom Movement
NDA Syllabus For History
Forces shaping the modern world; Renaissance Exploration and Discovery; A broad survey of Indian History, with emphasis on Culture and Civilisation Freedom Movement in India French Revolution, Industrial Revolution, and Russian Revolution War of American Independence, Impact of Science and Technology on Society Elementary study of Indian Constitution and Administration Concept of one World Elementary knowledge of Five Year Plans of India United Nations, Panchsheel, Panchayati Raj, Democracy, Socialism and Communism Role of India in the present world Co-operatives and Community Development Bhoodan, Sarvodaya, National Integration and Welfare State Basic Teachings of Mahatma Gandhi
NDA Syllabus- Geography
NDA Syllabus For Geography
The Earth, its shape and size Ocean Currents and Tides Atmosphere and its composition Latitudes and Longitudes Temperature and Atmospheric Pressure, Planetary Winds, Cyclones, and Anticyclones; Humidity; Condensation and Precipitation Concept of time Types of Climate International Date Line Major Natural Regions of the World Movements of Earth and their effects Regional Geography of India Climate, Natural vegetation. Mineral and Power resources; Location and distribution of agricultural and Industrial activities Origin of Earth. Rocks and their classification Important Sea ports and main sea, land, and air routes of India Weathering—Mechanical and Chemical, Earthquakes and Volcanoes Main items of Imports and Exports of India
Current Events
NDA Syllabus For Current Events
Knowledge of Important events that have happened in India in recent yearsProminent personalities of both Indian and International level, Cultural activities and sports activities, Current important world events.
Intelligence and Personality Test
The SSB procedure consists of two stages. Only those candidates who clear written exam are permitted to appear for SSB round. The details of SSB exam are given below:
NDA SSB Personality Test
Stage I
Officer Intelligence Rating (OIR) Picture Perception Description Test (PP&DT).
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