NDA Syllabus
NDA Syllabus 2019 is available on this page! Union Public Service Commission (UPSC) has scheduled the NDA I exam on 21 April 2019 and NDA II exam on 17 November 2019. Candidates who are going to appear in the said examination are suggested to download the exam pattern along with syllabus form this page.
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एनडीए सिलेबस की पूरी जानकारी यहाँ उपलब्ध है।
The NDA exam syllabus is divided into two papers that is Paper 1Mathematics and Paper 2 General Ability Test (GAT). The detailed topics of both papers from which the question paper will prepare have been provided on this page. For your convenience, we have also provided the table showing the subject wise marks distribution. So what are you waiting for? Just scroll down the page and acquire complete details of NDA Syllabus 2019.
NDA Syllabus 2019 Details
Organization Name

Union Public Service Commission (UPSC)

Exam Name

Naval Academy Examination (NDA)

Page Category

Syllabus and Exam Pattern

Status

Available!

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NDA Syllabus
NDA Mathematics Syllabus 2019:
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NDA General Ability Test Syllabus 2019:
NDA Exam Pattern:
NDA Syllabus
NDA Mathematics Syllabus 2019:
Topics

SubTopics

Algebra

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 decimal system to binary system and viceversa.
Arithmetic, Geometric and Harmonic progressions.
Quadratic 17 equations with real coefficients.
A solution of linear inequations of two variables by graphs.
Permutation and Combination.
Binomial theorem and its applications.
Logarithms and their applications.
Concept of set
Operations on sets
Venn diagrams.
De Morgan laws, Cartesian product, relation, equivalence relation.

Matrices and Determinant

Types of matrices, operations on matrices.
Determinant of a matrix, basic properties of determinants.
Adjoint and inverse of a square matrix, ApplicationsSolution of a system of linear equations in two or three unknowns by Cramer’s rule and by Matrix Method.

Trigonometry

Angles and their measures in degrees and in radians.
Trigonometrical ratios.
Trigonometric identities Sum and difference formulae.
Multiple and Submultiple angles. Inverse trigonometric functions.
ApplicationsHeight and distance, properties of triangles.

Analytical Geometry of two and three dimensions

Rectangular Cartesian Coordinate system. Distance formula.
Distance formula.
The equation of a line in various forms.
The angle between two lines.
The distance of a point from a line.
The equation of a circle in standard and in general form. Standard forms of
Standard forms of a parabola, ellipse and hyperbola. Eccentricity and axis of a conic. Point in a
Eccentricity and axis of a conic. Point in a threedimensional space, the distance between two points.
Direction Cosines and direction ratios.
Equation two points. Direction Cosines and direction ratios.
Direction Cosines and direction ratios.
Equation two points. Direction Cosines and direction ratios. The equation of a plane and a line in various forms. Angle between two lines and angle between two planes. Equation of a sphere.
Direction Cosines and direction ratios. The equation of a plane and a line in various forms. The angle between two lines and angle between two planes. The equation of a sphere.
The equation of a plane and a line in various forms. The angle between two lines and angle between two planes. The equation of a sphere.
The angle between two lines and angle between two planes. The equation of a sphere.

Differential Calculus

The concept of a realvalued function–domain, range and graph of a function.
Composite functions, one to one, onto and inverse functions.
The notion of limit, Standard limits—examples.
Continuity of functions—examples, algebraic operations on continuous functions.
Derivative of the function at a point, geometrical and physical interpretation of a derivative—applications
Derivatives of the sum, product, and quotient of functions, the derivative of a function with respect to another function, derivative of a composite function.
Second order derivatives.
Increasing and decreasing functions.
Application of derivatives in problems of maxima and minima.

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.
18 Definition of order and degree of a differential equation, formation of a differential equation by examples.
General and particular solution of differential equations, the solution of first order and firstdegree differential equations of various types—examples.
Application in problems of growth and decay.

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 was done by a force and moment of a force and in geometrical problems.

Statistics and Probability

Statistics: Classification of data, Frequency distribution, cumulative frequency distribution, Graphical representation Histogram, Pie Chart, frequency polygon, 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 Binominal distribution.

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NDA General Ability Test Syllabus 2019:
Sections

Topics

SubTopics

Section A

Physics

Physical Properties and States of Matter, Mass, Weight, Volume, Density, and Specific Gravity, Principle of Archimedes, Pressure Barometer
Motion of objects, Velocity and Acceleration, Newton’s Laws of Motion, Force and Momentum, Parallelogram of Forces, Stability and Equilibrium of bodies, Gravitation, elementary ideas of work, Power and Energy
Effects of Heat, Measurement of Temperature and Heat, change of State and Latent Heat, Modes of transference of Heat
Sound waves and their properties, Simple musical instruments
Rectilinear propagation of Light, Reflection, and refraction
Spherical mirrors and Lenses, Human Eye
Natural and Artificial Magnets, Properties of a Magnet, Earth as a Magnet
Static and Current Electricity, conductors and nonconductors, Ohm’s Law, Simple Electrical Circuits, Heating, Lighting and Magnetic effects of Current, Measurement of Electrical Power, Primary and Secondary Cells, Use of XRays
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; Lightening Conductors, Safety Fuses

Section B

Chemistry

Physical and Chemical changes
Elements, Mixtures and Compounds, Symbols, Formulae and simple Chemical Equations, Law of Chemical Combination (excluding problems)
Properties of Air and Water
Preparation and Properties of Hydrogen, Oxygen, Nitrogen and Carbon dioxide, Oxidation and Reduction
Acids, bases, and salts
Carbon – different forms
Fertilizers – Natural and Artificial
Material used in preparation of substances such as Soap, Glass, Ink, Paper, Cement, Paints, Safety Matches and GunPowder
Elementary ideas about the structure of Atom, Atomic Equivalent and Molecular Weights, Valency

Section C

General Science

Difference between living and nonliving
The basis of Life – Cells, Protoplasms, and Tissues
Growth and Reproduction in Plants and Animals
Elementary knowledge of Human Body and its important organs
Common Epidemics, their causes and prevention
Food – Source of energy for man
Constituents of food and Balanced Diet
Solar System – Meteors, Comets, and Eclipses
Achievements of Eminent Scientists

Section D

History, Freedom Movement etc.

A broad survey of Indian History with emphasis on Culture and Civilisation
Freedom Movement in India
Elementary study of Indian Constitution and Administration
Elementary knowledge of Five Year Plans of India
Panchayati Raj, Cooperatives and Community Development
Bhoodan, Sarvodaya, National Integration and Welfare State, Basic Teachings of Mahatma Gandhi
Forces shaping modern world; Renaissance, Exploration and Discovery; War of American Independence
French Revolution, Industrial Revolution and Russian Revolution
The impact of Science and Technology on Society
The concept of one World, United Nations, Panchsheel, Democracy, Socialism, and Communism
Role of India in the present world

Section E

Geography

Earth: Its shape and size
Latitudes and Longitudes, Concept of time
International Date Line
Movements of Earth and their effects
Origin of Earth
Rocks and their classification; Weathering – Mechanical and Chemical, Earthquakes and Volcanoes
Ocean Currents and Tides Atmosphere and its composition; Temperature and Atmospheric Pressure, Planetary Winds, Cyclones and Anticyclones; Humidity; Condensation and Precipitation; Types of Climate, Major Natural regions of the World
Regional Geography of India – Climate, Natural vegetation
Mineral and Power resources; location and distribution of agricultural and Industrial activities
Important Sea ports and main sea, land and air routes of India
Main items of Imports and Exports of India

Section F

Current Events

Knowledge of important events in India in recent years
Current important world events
Prominent personalities – Indian and International including those connected with cultural activities and sports

Relevant Links:
NDA Exam Pattern:
Code

Papers

Subject

Maximum
marks

Duration

1

Paper 1

Mathematics

300

2 ½ hours

2

Paper 2

General Ability Test (GAT)

600

2 ½ hours

Total

900

5 hours


SSB Interview

900




Grand Total

1800



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Distribution of marks (Subjectwise):
Note:
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Distribution of marks (Subjectwise):
Subjects

Marks

Maths

300

English

200

Physics

100

Chemistry

60

General Science

40

History, Freedom Movement, etc.

80

Geography

80

Curent Events

40

Note:
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