NDA Syllabus 2019
Before
start NDA preparation, it is very important to introduce yourself with the
overall syllabus from where the questions will be raised.
The NDA
Exam pattern comprises of Mathematics subject and General Ability. Below
we have mentioned the detailed UPSC NDA Syllabus 2019.
Mathematics Syllabus
The
Mathematics paper covers the following chapters and topics:
Trigonometry: Trigonometrical ratios,properties
of triangles, Angles and their measures in degrees and in radians, Inverse
trigonometric functions, Trigonometric identities Sum and difference formulae,
Applications – Height and distance, Multiple and Sub-multiple angles.
Algebra: Complex numbers – basic properties,
modulus, Conversion of a number in decimal system to binary system and
vice-versa, Arithmetic, argument, cube roots of unity, Geometric and Harmonic
progressions, Solution of linear inequations of two variables by graphs, Representation
of real numbers on a line, Binary system of numbers, Binomial theorem and its
application, Quadratic equations with real coefficients, Permutation and
Combination, Logarithms and their applications.
Differential Calculus: Composite
functions, one to one, onto and inverse functions, geometrical and physical
interpretation of a derivative – applications, increasing and decreasing
functions, Continuity of functions – examples, algebraic operations on
continuous functions, Application of derivatives in problems of maxima and
minima, Concept of a real valued function – domain, range and graph of a
function, Notion of limit, Standard limits – examples, geometrical and physical
interpretation of a derivative – applications, Derivative of a function at a
point, Derivatives of sum, product and quotient of functions, derivative of a
function with respect of another function, derivative of a composite function
and Second order derivatives.
Vector Algebra: Vectors in two and three
dimensions, scalar multiplication of vector, scalar product or dot product of
two-vectors, Applications-work done by a force and moment of a force, and in
geometrical problems, magnitude and direction of a vector, Unit and null
vectors, addition of vectors, Vector product and cross product of two vectors.
Integral Calculus and Differential equations: Integration
by substitution and by parts, trigonometric, Definition of order and degree of
a differential equation, formation of a differential equation by examples,
exponential and hyperbolic functions, solution of first order and first degree
differential equations of various types – examples, standard integrals
involving algebraic expressions, Evaluation of definite integrals –
determination of areas of plane regions bounded by curves – applications,
General and particular solution of a differential equation, Integration as
inverse of differentiation, Application in problems of growth and decay.
Matrices and Determinants: Types
of Matrices, Determinant of a matrix, adjoin and inverse of a square matrix,
operations on matrices, Applications – Solution of a system of linear equations
in two or three unknowns by Cramer’s rule and by Matrix Method, basic
properties of determinant.
Analytical Geometry of two and three dimensions: Distance
formula, Equation of a circle in standard and in general form, Ellipse and hyperbola,
Angle between two lines, Rectangular Cartesian Coordinate system, Equation of a
line in various forms, Standard forms of parabola, Distance of a point from a
line, Eccentricity and axis of a conic.
Point
in a three-dimensional space, distance between two points, Equation of a plane
and a line in various forms, Equation of a sphere, Direction Cosines and
direction ratios, angle between two lines and angle between two planes.
Statistics: Frequency distribution,
Classification of data, cumulative frequency distribution – examples Graphical
representation – Histogram, Measures of Central tendency – mean, median and
mode, Pie Chart, Frequency Polygon – examples, Variance and standard deviation
– determination and comparison, Correlation and regression.
Probability: outcomes and associated sample space,
Binomial distribution, Random experiment, examples of random experiments giving
rise to Binominal distribution, events, mutually exclusive and exhaustive
events, Bayes’ theorem – simple problems, impossible and certain events,
Complementary, elementary and composite events, Union and Intersection of
events, Definition of probability – classical and statistical – examples,
Conditional probability, Random variable as function on a sample space,
Elementary theorems on probability – simple problems, Binomial distribution,
examples of random experiments giving rise to Binominal distribution.
General Ability Syllabus
The general
ability section comprises of two
parts which are mentioned below:
Part A
English: The English syllabus
covers the topics like vocabulary, Grammar and usage, comprehension and
cohesion in extended text to test the candidate’s proficiency in English.
Part B
General
Knowledge: The question paper comprises of general knowledge and
covers the subjects that include Physics, Chemistry, Social Studies, General
Science, Geography and Current Events.
Section
A – Physics
Motion of
objects, Newton’s Laws of Motion, Force and Momentum, Parallelogram of Forces,
Stability and Equilibrium of bodies, Gravitation, elementary ideas of work,
Velocity and Acceleration, Power and Energy, Sound waves and their properties,
Simple musical instruments, Natural and Artificial Magnets, Properties of a
Magnet, Earth as a Magnet, Siphon, Levers, Balloon, Pumps, Hydrometer, Pressure
Cooker, Thermos Flask, Gramophone, Telegraphs, Telephone, Periscope, Telescope,
Microscope, Mariner’s Compass; Lightening Conductors, Safety Fuses, Simple
Pendulum.
Simple Pulleys,
Physical Properties and States of Matter, Mass, Weight, Volume, Density and
Specific Gravity, Principle of Archimedes, Pressure Barometer, Effects of Heat,
change of State and Latent Heat, Modes of transference of Heat, Rectilinear
propagation of Light, Reflection and refraction. Spherical mirrors and Lenses.
Human Eye, Static and Current Electricity, Measurement of temperature and heat,
conductors and Non-conductors, 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.
Section
B – Chemistry
Preparation and
Properties of Hydrogen, Oxygen, Nitrogen and Carbon-Di-oxide, Oxidation and
Reduction, Material used in the preparation of substances like soap, Glass,
Ink, Paper, Cement, Paints, Safety Matches, and Gun-Powder, Carbon – different
forms, Physical and Chemical changes. Symbols, Formulas and simple Chemical
Equations, Law of Chemical Combination (excluding problems). Properties of Air
and Water, Acids, bases and salts, Elements, Mixtures and Compounds,
Fertilizers – Natural and Artificial, Elementary ideas about the Structure of
Atom, Atomic, Equivalent and Molecular Weights, Valency.
Section
C – General Science
Basis of Life –
Cells, Protoplasms and Tissues, Constituents of food, Balanced Diet,
Achievements of Eminent Scientists, Difference between the living and
non-living, Elementary knowledge of human Body and its important organs,
Food – Source of Energy for man, Growth and Reproduction in Plants and Animals,
Common Epidemics, their causes and prevention, The Solar System – Meteors and
Comets, Eclipses.
Section
D – History
Freedom Movement
in India, Bhoodan, Sarvodaya, National Integration and Welfare State, Basic
Teachings of Mahatma Gandhi, A broad survey of Indian History, with emphasis on
Culture and Civilisation, Elementary knowledge of Five Year Plans of India,
Elementary study of Indian Constitution and Administration, Panchayati Raj,
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, Co-operatives
and Community Development, Role of India in the present world.
Section
E – Geography
Origin of Earth,
Weathering – Mechanical and Chemical, Earthquakes and volcanoes, Atmosphere and
its composition, Temperature and Atmospheric Pressure, Rocks and their classification,
Planetary Winds, cyclones and Anti-cyclones, Humidity, Condensation and
Precipitation, Major Natural regions of the World, Important Sea ports
and main sea, land and air routes of India. Main items of Imports and Exports
of India, Types of Climate, The Earth, its shape and size, Lattitudes and
Longitudes, Concept of time, International Date Line, Movements of Earth and
their effects, Ocean Currents and Tides, Regional Geography of India – Climate,
Natural vegetation. Mineral and Power resources, location and distribution of
agricultural and industrial activities.
Section
F – Current Events
Current
important world events, Knowledge of Important events that have happened in
India in the recent years, prominent personalities – both Indian and International
including those connected with cultural activities and sports.
It is not
compulsory that the topics mentioned above will surely come in the examination.
The question paper does not remain consistent, it changes every year. It may
happen that the question paper will consists of the topic not discussed here.
CDS Syllabus for
Elementary Mathematics
Mathematics section is
thought-out as a scoring CDS Exam. To score good marks, candidates should know
its complete syllabus. Mathematics paper consists of questions from arithmetic,
algebra, mensuration, geometry, trigonometry and statistics. Given below is the
detailed syllabus, on which questions are based on:
- Algebra: Basic Operations, simple factors, Remainder
Theorem, H.C.F., L.C.M. Set language and set notation, rational
expressions and conditional identities, Laws of indices. Theory of
polynomials, solutions of quadratic equations, relation between its roots
and coefficients (Only real roots to be considered). Simultaneous linear
inequations in two variables and their solutions. Simultaneous linear
equations in two unknowns-analytical and graphical solutions. Practical
problems leading to two simultaneous linear equations or inequations in
two variables or quadratic equations in one variable & their
solutions.
- Trigonometry: Simple cases of heights and distances. Use of
trigonometric tables. Sine x, cosine x, Tangent x when fn< x < 90°
Values of sin x, cos x and tan x, for x = 0°, 30°, 45°, 60° and 90° Simple
trigonometric identities.
- Geometry: Lines and angles, Plane and plane figures, Sides
and angles of a triangle, Similar triangles, Concurrence of medians and
altitudes, Congruency of triangles, Theorems on Properties of angles at a
point Parallel lines, Properties of angles, rectangle and square Circles
and its properties including tangents and Normals, sides and diagonals of
a parallelogram, Loci.
- Mensuration: Areas of squares, parallelograms, rectangles,
triangle and circle. Surface area and volume of cuboids, Areas of figures
which can be split up into these figures (Field Book), lateral surface and
volume of right circular cones and cylinders, surface area and volume of
spheres.
- Statistics: Collection and tabulation of statistical data,
Graphical representation, pie charts, histograms, bar charts,
frequency polygons, etc. Measures of central tendency.
Topics
|
Topics
|
Topics
|
Topics
|
Number System
|
Simple interest
|
HCF&LCM of polynomials
|
Area
|
HCF & LCM of numbers
|
Compound interest
|
Linear Equations in one and two
Variables
|
Surface area and volume of solids
|
Decimal fraction
|
Ratio and proportion
|
Quadratic Equations and
Inequations
|
Lines and angles
|
Square roots and cube roots
|
Average
|
Set theory
|
Triangles
|
Time and distance
|
Profit and loss
|
Measurement of angles and
trigonometric measurement
|
Quadrilateral and polygon
|
Time and Work
|
logarithm
|
Height and distance
|
Circle
|
percentage
|
Basic operations and factorization
|
Ratio Expressions
|
Statistical Data Analysis
|
SYLLABUS FOR SOLDIER GENERAL DUTY
1. PATTERN. Ser No Subject Questions Marks Pass Marks
Remarks
(a) General Knowledge 15 30 32 NCC ‘C’ Cert holders are
exempted
(b) General Science
20 40
(c) Maths 15 30
2. SYLLABUS. GENERAL KNOWLEDGE Abbreviations - National and
International. Sports - National and International. Awards & Prizes -
National awards, Gallantry awards, Nobel Prizes. History - Important dates
& battles in Indian and World History and land marks of Indian History,
national movement. Geography - Solar System Space exploration, The earth
principal peaks, Deserts, Rivers, Lakes and famous waterfalls, Geographical
Tallest, Biggest and Longest etc. Terminology - Geographical terms, Economic
terms, Astronomical terms, Legal terms and Misc terms. UNO Indian Armed Forces.
Indian Towns, States and Uts. Institutions and Research Stations, International
space Stations and Festivals of India and World. Indian News Agencies and
Dailies. Continents and Sub Continents. Inventions and Discoveries.
Environment. The Constitution of India.
2 Religious communities and Principal Languages. National
and International Days. International Organizations. Books and Authors. The
world of Plants and animals. Current Affairs and “Who’s Who”. Note:- The above
syllabus is not a comprehensive list of topics pertaining to the subject. At
times questions may be asked other than the above topics but definitely within
the syllabus of CBSE. GENERAL SCIENCE Human Body - Food and nutrition, diseases
and prevention, vitamins and their uses. Question of General Science consisting
of topic related to Physics, Chemistry and Biology. based on fundamentals and
day to day activities. Medical Terms. Scientific Terms. Scientific and Research
Institutes in India. IO/Numeral Ability. The questions will be based on the
ability of the candidates of age group ranging between 16 & 20 years.
MATHEMATICS Arithmetic Consisting of numbers, HCF, LCM,
Decimal fraction, square roots, percentage, Average, Ratio and proportion,
partnership, profit & loss, unitary method, time work and distance, simple
interest. Algebra Basic operations and factorization, HCF and LCM, quadratic
equations. 3 Geometry Lines and angles, triangles quadrilaterals,
parallelograms and circles Mensuration Area and perimeters of Squares,
rectangles parallelograms and circles, volume and surface area of cube,
cuboids, cone, cylinders and sphere. Note : The above syllabus is not a
comprehensive list of topics pertaining to the subject. At times questions may
be asked other than the above topics but definitely within the syllabus of
CBSE.
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