NDA & NA Syllabus

Post Name	National Defence Academy (NDA) & Naval Academy (NA)
NDA & NA Selection Phase:	NDA & NA is of Two Phases 1. Written Examination 2. Interview

Phase 01 (Written Examination)

Written Examination : Written Examination will be consisting of 900 Marks with time duration of 5 Hours in objective type

Objective Paper – 900 Marks and 300 Minutes,

Mathematics
General Ability Test

There will be negative marking of

Mathematics: -0.83
GAT: -1.33

SL	Name of test	No. of Questions	Marks	Duration
1.	Mathematics	120	300	2 Hrs. 30 Mins.
2.	General Ability Test	150	600	2 Hrs. 30 Mins.
	Total	270	900	5 Hrs.

National Defence Academy (NDA) & Naval Academy (NA) Examination Syllabus

Subject ( Mathematics)	Topics
Algebra	Concept of set, operations on sets, Venn diagrams. De Morgan laws, Cartesian product, relation, equivalence relation. Representation of real numbers on a line. Complex numbers—basic properties, modulus, argument, cube roots of unity. Binary system of numbers. Conversion of a number in a decimal system to a binary system and vice-versa. Arithmetic, geometric and harmonic progressions. Quadratic equations with real coefficients. The solution of linear inequations of two variables by graphs. Permutation and combination. Binomial theorem and its applications. Logarithms and their applications.
Matrices & Determinants	Types of matrices Operations on matrices Determinant of a matrix Basic properties of determinants Adjoint and inverse of a square matrix Applications of matrices Solution of a system of linear equations in two or three unknowns using Cramer’s rule Solution of a system of linear equations in two or three unknowns using Matrix Method
Trigonometry	Angles and their measures in degrees and radians Trigonometric ratios Trigonometric identities including sum and difference formulae Multiple and sub-multiple angles Inverse trigonometric functions Applications such as height and distance and properties of triangles.
Analytical Geometry of 2 & 3 Dimensions	Rectangular Cartesian Coordinate system Distance formula Equation of a line in various forms The angle between two lines The distance of a point from a line Equation of a circle in standard and general form Standard forms of parabola, ellipse, and hyperbola Eccentricity and axis of a conic A point in three-dimensional space and the distance between 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
Differential Calculus	Concept of a real-valued function including domain, range, and graph of a function. Composite functions and their properties including one-to-one, onto, and inverse functions. Understanding of the notion of limit and examples of standard limits. Continuity of functions and examples, including algebraic operations on continuous functions. Derivative of a function at a point, with geometrical and physical interpretation, and applications. Derivatives of sum, product, and quotient of functions, a derivative of a function with respect to another function, a derivative of a composite function, and second-order derivatives. Understanding increasing and decreasing functions. Application of derivatives in problems of maxima and minima.
Integral Calculus & Differential Equations	Integration as the inverse of differentiation. Methods of integration: 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 of integrals. Definition of order and degree of a differential equation. Formation of a differential equation by examples. General and particular solutions of differential equations. Solutions of the first-order and first-degree differential equations of various types. Applications in problems of growth and decay.
Vector Algebra	Vectors in two and three dimensions Magnitude and direction of a vector Unit and null vectors 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 in work done by a force and moment of a force and in geometrical problems
Statistics	Classification of data Frequency distribution Cumulative frequency distribution—examples Graphical representation—Histogram, Pie Chart, frequency polygon— examples Measures of Central tendency—Mean, median and mode Variance and standard deviation—determination and comparison Correlation and regression
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.

NDA Maths Syllabus Weightage

Topics	Mark Distribution
Algebra	40-45
Matrices and Determinants	10-15
Trigonometry	20-25
Analytical Geometry	30-35
Differential Calculus	25-30
Integral Calculus	20-25
Vector Algebra	15-20

NDA Syllabus for General Awareness

Physics Syllabus

1. Physical Properties and States of Matter
2. Mass, Weight, Volume, Density and Specific Gravity
3. Principle of Archimedes
4. Pressure Barometer
5. Motion of objects
6. Velocity and Acceleration
7. Newton’s Laws of Motion, Force and Momentum
8. Parallelogram of Forces
9. Stability and Equilibrium of bodies
10. Gravitation
11. Elementary ideas of Work, Power and Energy
12. Effects of Heat, Measurement of Temperature and Heat, Modes of transference of Heat
13. Sound waves and their properties
14. Simple musical instruments
15. Rectilinear propagation of Light, Reflection and refraction
16. Spherical mirrors and Lenses
17. Human Eye
18. Natural and Artificial Magnets, Properties of a Magnet
19. Earth as a Magnet
20. Static and Current Electricity
21. Conductors and Non-conductors
22. Ohm’s Law, Simple Electrical Circuits
23. Heating, Lighting and Magnetic effects of Current
24. Measurement of Electrical Power
25. Primary and Secondary Cells
26. Use of X-Rays
27. General Principles in the working of the following:
28. Simple Pendulum,
29. Simple Pulleys,
30. Siphon, Levers,
31. Balloon,
32. Pumps,
33. Hydrometer,
34. Pressure Cooker,
35. Thermos Flask,
36. Gramophone,
37. Telegraphs,
38. Telephone,
39. Periscope,
40. Telescope,
41. Microscope,
42. Mariners Compass;
43. Lightning Conductors,
44. Safety Fuses

Chemistry Syllabus

1. Preparation and Properties of Hydrogen, Oxygen, Nitrogen, and Carbon Dioxide, Oxidation and Reduction.
2. Acids, bases and salts.
3. Carbon— different forms
4. Fertilizers—Natural and Artificial
5. The material used in the preparation of substances like Soap, Glass, Ink, Paper, Cement, Paints, Safety Matches and Gunpowder
6. Elementary ideas about the structure of Atom
7. Atomic Equivalent and Molecular Weights
8. Valency
9. Physical and Chemical Changes
10. Elements
11. Mixtures and Compounds
12. Symbols, Formulae and simple Chemical Equation
13. Law of Chemical Combination (excluding problems)
14. Properties of Air and Water

General Science Syllabus

1. Common Epidemics, their causes and prevention
2. Food-Source of Energy for man
3. Constituents of food
4. Balanced Diet
5. The Solar System-Meteors and Comets, Eclipses. Achievements of Eminent Scientists
6. Difference between the living and non-living
7. Basis of Life—Cells, Protoplasms and Tissues
8. Growth and Reproduction in Plants and Animals
9. Elementary knowledge of the Human Body and its important organs

NDA History Syllabus

1. Forces shaping the modern world: The Renaissance
2. Exploration and Discovery; War of American Independence, French Revolution, Industrial Revolution and Russian Revolution
3. Impact of Science and Technology on Society
4. Concept of one World
5. United Nations, Panchsheel, Democracy, Socialism and Communism
6. Role of India in the present world
7. A broad survey of Indian History, with emphasis on Culture and Civilization
8. Basic Teachings of Mahatma Gandhi
9. Freedom Movement in India
10. Elementary study of the Indian Constitution and Administration
11. Elementary knowledge of Five Year Plans of India
12. Panchayati Raj
13. Co-operatives and Community Development
14. Bhoodan, Sarvodaya, National Integration and Welfare State

NDA Geography Syllabus

1. Latitudes and Longitudes
2. The Earth, its shape and size
3. Ocean Currents and Tides
4. Concept of time
5. International Date Line
6. Movements of Earth and their effects
7. Origin of Earth, Rocks and their classification
8. Weathering—Mechanical and Chemical,
9. Earthquakes and Volcanoes
10. Earth’s Functioning – Ocean Currents, Tides, Atmosphere and its composition, Temperature and Atmospheric Pressure, Planetary Winds, Cyclones and Anticyclones, Humidity, Condensation and Precipitation
11. Types of Climates
12. Major Natural regions of the World
13. Regional Geography of India—Climate, Natural vegetation. Mineral and Power resources; location and distribution of agricultural and Industrial activities
14. Important Sea ports and main sea, land and air routes of India
15. Main items of Imports and Exports of India

NDA Current Affairs Syllabus

1. Important events in India in recent years
2. Prominent personalities
3. Current important world events

Topic-wise Weightage for English and General Awareness
Sections	Topics and Subjects	Mark Distribution
English	Grammar and Usage	25-30
	Vocabulary	20-25
	Comprehension	40-50
	Cohesion and Coherence	10-15
General Awareness	Physics	25-30
	Chemistry	15-20
	General Science	25-30
	History and Geography	20-25
	Current Events	30-40

UPSC NDA Syllabus for Intelligence and Personality Test

Stage I: This stage comprises Officer Intelligence Rating (OIR) tests are Picture Perception and Description Test (PP&DT).
Stage II: This stage comprises Interview, Group Testing Officer Tasks, Psychology Tests and the Conference.

NDA Exam Syllabus for Personality Test
Stages	Tests	Types of tests
Stage 1	Screening Test	Verbal and non-verbal tests.PPDT
Stage 2	Psychological Test	Thematic Apperception Test (TAT) Word Association Test (WAT) Situation Reaction Test (SRT) Self-Description Test (SD)
Stage 2	Group Testing Officer Tasks	Group Discussion(GD) Group Planning Exercise(GPE) Progressive Group Task(PGT) Half Group Task(HGT) Individual Obstacles Task(IOT) Command Task Snake Race/Group Obstacle Race Individual lecture Final Group Task(FGT)

NDA Exam Pattern

Paper	Subject	Maximum Marks	Duration	Marking per Question	Negative marking per Question
Paper 1	Mathematics	300	150 minutes	2.5	1/3 of the marks allotted for the question
Paper 2	General Ability Test	600	150 minutes	4	1/3 of the marks allotted for the question

Phase 03 (Interview)

After the completion of two phase the candidates have to appear in Phase 3 interview round

Eligibility for NDA & NA

Age Limit	Only Unmarried Male Candidates born not earlier than 2nd Jul 2005 and not later than 1st Jul, 2008 are eligible.
Physical Qualification	Candidates must be physically fit according to physical standards for admission to National Defence Academy and Naval Academy Examination (I), 2024 as per guidelines given in Appendix-IV
Educational Qualification:	(i) For Army wing of National Defence Academy: 12th Class pass of the 10+2 pattern of School Education or equivalent examination conducted by a State Education Board or a University. (ii) For Air Force and Naval Wings of National Defence Academy and for the 10+2 Cadet Entry Scheme at the Indian Naval Academy: 12th Class pass of the 10+2 pattern of School Education or equivalent with Physics and Mathematics conducted by a State Education Board or a University. Candidates who are appearing in the 12th Class under 10+2 Pattern of School Education or equivalent examination can also apply for this examination.