Exam Topic & Syllabus
NDA Exam Pattern, Topic & Syllabus
Today Discussing About The NDA Examination Pattern And Topic & Syllabus.
EXAM PATTERN
* Examination Conducted On Offline At Various Exam Center.
* Exam Total Marks : 900
* Examination Divide Into Two Papers.
~ Mathematics
~ General Ability Test
* All Candidates Must Be Attend Both Section.
* Both Section Questions Are In Objective Type.
*The Questions Are In Bilingually Hindi As Well As English.
* For each question for which a wrong answer
has been given by the candidate. One third (0.33) of the
marks assigned to that question will be deducted as
penalty.
* The candidates are not permitted to use calculator or
Mathematical or logarithmic table for answering objective type
papers (Test Booklets).
STUDY MATERIALS
Text book number 1 ;- CLICK HERE
Text book number 2 ;- CLICK HERE
Text book number 3 ;- CLICK HERE
Text book number 4 ;- CLICK HERE
Paper -I (Mathematics)
Total Marks : 300
Time Duration : 2½ Hours
SYLLABUS OF THE EXAMINATION
1. 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
decimal system to binary system and vice-versa. Arithmetic,
Geometric and Harmonic progressions. Quadratic equations with
real coefficients. Solution of linear inequations of two variables by
graphs. Permutation and Combination. Binomial theorem and its
applications. Logarithms and their applications.
2. 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.
3. TRIGONOMETRY
Angles and their measures in degrees and in radians.
Trigonometrical ratios. Trigonometric identities Sum and difference
formulae. Multiple and Sub-multiple angles. Inverse trigonometric
functions. Applications-Height and distance, properties of
triangles.
4. ANALYTICAL GEOMETRY OF TWO AND THREE DIMENSIONS
Rectangular Cartesian Coordinate system. Distance formula.
Equation of a line in various forms. Angle between two lines.
Distance of a point from a line. Equation of a circle in standard
and in general form. Standard forms of parabola, ellipse and
hyperbola. Eccentricity and axis of a conic. Point in a three
dimensional space, 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.
Angle between two lines and angle between two planes. Equation
of a sphere.
5. DIFFERENTIAL CALCULUS
Concept of a real valued function–domain, range and
graph of a function. Composite functions, one to one, onto and
inverse functions. Notion of limit, Standard limits—examples.
Continuity of functions—examples, algebraic operations on
continuous functions. Derivative of function at a point, geometrical
and physical interpretation of a derivative—applications.
Derivatives of sum, product and quotient of functions, 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.
6. 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 a differential equations, solution of first order
and first degree differential equations of various types—examples.
Application in problems of growth and decay.
7. 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—work done by a force and moment of a force and in
geometrical problems.
8. STATISTICS AND PROBABILITY
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 Binominal distribution.
Paper -II General Ability Test
Total Marks : 600
Time Duration : 2½ Hours
General Ability Test Paper Divided Into Two Parts
~ English (Maximum Marks—200)
~ General Knowledge (Maximum Marks—400)
English
The question paper in English will be designed to test the
candidate’s understanding of English and workman like use of
words. The syllabus covers various aspects like : Grammar and
usage, vocabulary, comprehension and cohesion in extended text
to test the candidate’s proficiency in English.
General Knowledge
General Knowledge Part Divided Into Different Sections.
Section ‘A’ (Physics)
Section ‘B’ (Chemistry)
Section ‘C’ (General Science)
Section ‘D’ (History, Freedom Movement etc.)
Section ‘E’ (Geography)
Section ‘F’ (Current Events)
NOTE : Out of maximum marks assigned to part ‘B’ of this paper,
questions on Sections ‘A’, ‘B’, ‘C’, ‘D’, ‘E’ and ‘F’ will carry
approximately 25%, 15%, 10%, 20%, 20% and 10% weightages
respectively.
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 X-Rays.
General Principles in the working of the following:
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 Carbondioxide, Oxidation and Reduction. Acids,
bases and salts. Carbon—different forms. Fertilizers—Natural and
Artificial. Material used in the preparation of substances like 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 the living and non-living. 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, Balanced
Diet. The Solar System—Meteors and Comets, 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, Co-operatives and Community
Development. Bhoodan, Sarvodaya, National Integration and
Welfare State, Basic Teachings of Mahatma Gandhi.
Forces shaping the modern world; Renaissance, Exploration
and Discovery; War of American Independence. French Revolution,
Industrial Revolution and Russian Revolution. Impact of Science
and Technology on Society. Concept of one World, United Nations,
Panchsheel, Democracy, Socialism and Communism. Role of India
in the present world.
Section ‘E’ (Geography)
The Earth, its shape and size. Lattitudes 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 Anti-cyclones; 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 that have happened in
India in the recent years. Current important world events.
Prominent personalities—both Indian and International including
those connected with cultural activities and sports.
