NDA
Online Course Staring From 15 june 2020 to 15 Aug 2020 50% Discount for Old Students of SHARPSHOOTERS 
NDA(I) 2020 19^{th }APRIL
***(PostPONEDED DUE TO COVID19)
Will Update The Exam Dates Soon
CRASH COURSE
SL NO. 
DATE  FEES* (Rs.)  DURATION  TIME 
1. 
15Jun–2020 To 15Aug2020 

60 Days 

2. 
20June.2019 To 20AUG.2019 
10000/

60 Dyas 

Note: – * Above Fee is Including GST – 18%.
REGULAR BATCHES
SL NO. 
FEES (Rs.)  DURATION  TIME 
1. 
22000 
60 Days 
0900h – 1600h 
2. 
22000 
45 Dyas 
0900h – 1700h 
Note: – * Above Fee is Including GST – 18%.
new BATCH WILL COMMENCE ON 1^{st} & 15^{th} OF EVERY MONTH
PAPER 
ONLINE FORM AVAILABLE 
DATE OF EXAMINATION 
NDA – I 

19 Apr 2020 
NDA – II 

6 sept 2020 
SUBJECTS
PAPERI (MATHS)  PAPERII (GENERAL ABILITY) 
Algebra  Biology 
Matrices and Determinants  Chemistry 
Trigonometry  Physics 
Analytical Geometry of Two and Three Dimensions  History 
Differential Calculus  Civics 
Integral Calculus and Differential Equations  Geography 
Vector Algebra  English 
Statistics and Probability  Current Affairs 
Subject 
Paper 
Total No of Questions 
Duration of Exam 
Maximum Marks 
Mathematics 
1 
120 
2 ½ Hours 
300 
General Ability Test 
2 
150 
2 ½ Hours 
600 
Total 
— 
270 
— 
900 
Second Round 
Duration 
Maximum Marks 
SSB Interview 
5 days 
900 
Note : We give specialised training for SSB interview.
Chapter wise NDA Maths Paper Pattern and Analysis
Maths
S.NO. 
Chapter 
NO. OF QUESTIONS 2016 l 
NO. OF QUESTIONS 2015 ll 
NO. OF QUESTIONS 2015l 
NO. OF QUESTIONS 2014ll 
1 
Set theory 
01 
02 
03 
08 
2 
Relations and Functions 
08 
06 
06 
01 
3 
Complex number 
07 
03 
06 
03 
4 
Binary number 
01 
01 
02 
01 
5 
Sequence and Series 
02 
04 
02 
04 
6 
Quadratic Equations and inequality 
06 
03 
04 
03 
7 
Permutation and Combination 
03 
05 
02 
02 
8 
Binomial Theorem 
01 
05 
05 
05 
9 
Logarithm 
01 
01 
– 
01 
10 
Matrices 
01 
02 
05 
05 
11 
Determinants 
05 
06 
03 
04 
12 
Measurments trigonometric ratio 
06 
04 
05 
10 
13 
Inverse trigonometric function 
02 
02 
04 
01 
14 
Height and distance 
– 
02 
02 
01 
15 
Properties of triangles 
– 
03 
01 
02 
16 
Coordinate system and straight line 
10 
06 
08 
03 
17 
Circle 
05 
02 
– 
02 
18 
Conic section 
– 
02 
02 
02 
19 
3 D geometry 
03 
07 
08 
11 
20 
Limits, continuity and differentiability 
08 
07 
08 
07 
21 
Differentiation 
07 
03 
06 
05 
22 
Application of derivatives 
08 
07 
05 
01 
23 
Indefinite integrals 
01 
03 
04 
04 
24 
Definite integrals 
07 
06 
04 
06 
25 
Areas bounded regions 
06 
01 
04 
03 
26 
Differential equations 
01 
04 
04 
02 
27 
Vector algebra 
05 
09 
07 
10 
28 
Statics 
06 
03 
07 
05 
29 
Probability 
10 
11 
08 
06 
30 
Miscellaneous 
– 
– 
– 
02 

Total 
120 
120 
120 
120 
English
S.NO. 
TOPICS 
NO. OF QUESTIONS 2016 l 
NO. OF QUESTIONS 2015 ll 
NO. OF QUESTIONS 2015l 
NO. OF QUESTIONS 2014ll 
1 
JUMBLED SENTENCES AND PERAGHRAPHS 
– 
06 
06 
– 
2 
ANTONYMS 
11 
05 
04 
10 
3 
SYNONYMS 
10 
05 
04 
10 
4 
SPOTTING ERRORS 
10 
9 
15 
10 
5 
CLOZE TEST 
– 
– 
06 
– 
6 
SENTENCE IMPROVEMENT 
10 
10 
15 
10 
7 
READING COMPREHENSION (PASSAGES) 
– 
– 
– 
– 
8 
FILLERS 
9 
15 
– 
10 

TOTAL 
50 
50 
50 
50 
General Knowledge
S.NO. 
TOPICS 
NO. OF QUESTIONS 2016 l 
NO. OF QUESTIONS 2015 ll 
NO. OF QUESTIONS 2015l 
NO. OF QUESTIONS 2014ll 
1 
History 
09 
12 
13 
14 
2 
Geography 
20 
19 
16 
16 
3 
Polity 
08 
06 
05 
01 
4 
Economy 
06 
06 
04 
04 
5 
GK 
02 
09 
12 
11 

Total 
45 
52 
50 
50 
S.NO. 
TOPICS 
NO. OF Q. 2016 l 
NO. OF Q. 2015ll 
NO. OF Q. 2015l 
NO. OF Q. 2014ll 
1 
Measurement Motion and Force 
05 
06 
01 
06 
2 
Work Energy and Power 
– 
– 
02 
– 
3 
Centre of Mass and Rotational Motion 
– 
– 
– 
– 
4 
Gravitation 
04 
01 
03 
02 
5 
General properties of matter 
– 
01 
03 
02 
6 
Heat and kinetic theory of gases 
02 
03 
– 
02 
7 
Thermodynamics 
04 
03 
01 
02 
8 
Optics 
03 
03 
05 
05 
9 
Oscillation and waves 
– 
01 
01 
– 
10 
Electrostatics 
– 
– 
– 
– 
11 
Current electricity 
04 
01 
03 
– 
12 
Magnetism of electric current and magnetism 
– 
02 
01 
03 
13 
Nucleus and radio activity 
02 
– 
– 
– 
14 
modern physics 
– 
02 
– 
02 

Total 
24 
23 
20 
24 
Chemistry:
S.NO. 
TOPICS 
NO. OF Q. 2016 l 
NO. OF Q. 2015 ll 
NO. OF Q. 2015l 
NO. OF Q. 2014ll 
1 
Physical and chemical change 
01 
– 
– 
01 
2 
Elements mixture and compound 
03 
— 
– 
01 
3 
Laws and chemical combination 
– 
01 
– 
– 
4 
Concept of atomic molecules 
01 
– 
– 
03 
5 
Atomic structure and radio activity 
01 
01 
– 
02 
6 
Parodic classification of elements 
– 
03 
01 
– 
7 
Chemical bonding 
01 
– 
01 
02 
8 
Acid basis and salts 
03 
02 
01 
01 
9 
Oxidation reduction electro chemistry 
02 
– 
01 
01 
10 
Nonmetals and their compounds 
09 
03 
06 
02 
11 
Some important chemical compounds 
02 
01 
06 
02 

Total 
23 
12 
16 
15 
BIOLOGY:
S.NO. 
TOPICS 
NO. OF Q. 2016 l 
NO. OF Q. 2015 ll 
NO. OF Q. 2015l 
NO. OF Q. 2014ll 
1 
Diversity in living world 
02 
03 
– 
01 
2 
Cell and cell division 
01 
— 
01 
03 
3 
Constituents of food (bio molecules) 
01 
01 
01 
02 
4 
Structural organisation of plants and animals 
01 
01 
– 
– 
5 
Plants physiology reproduction 
– 
01 
04 
– 
6 
Human system – 1^{st} 
– 
02 
03 
03 
7 
Human system 2^{nd} 
– 
– 
02 
– 
8 
Health and diseases 
01 
02 
– 
01 
9 
Economic importance of biology 
– 
01 
– 
– 
10 
Ecology biodiversity and environment 
02 
02 
01 
01 

Total 
08 
13 
12 
11 
NDA Exam Syllabus Maths Test (Part 1), Exam Pattern
Maximum marks 300
Algebra
Matrices and Determinants
Trigonometry
Analytical Geometry of two and three dimensions
Differential Calculus
Integral Calculus and Differential Equations
Vector Algebra
Statistics and Probability
NDA Exam Syllabus General Ability Test (Part 2), Exam Pattern
NDA 2018 syllabus of General Ability Test has been categorized into two parts – English and General Knowledge. The part 2 i.e. General Knowledge is also five sections. Check the syllabus below.
· Part A: English – Maximum Marks 200
· Part B: General Knowledge – Maximum Marks: 400
Section A: Physics
Section B: Chemistry
Section C: General Science
Section D: History, Freedom Movement etc.
PART1
Math syllabus:
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 viceversa.
 Arithmetic, Geometric and Harmonic progressions.
 Quadratic equations with real coefficients.
 Solution of linear in equations of two variables by graphs.
 Permutation and Combination.
 Binomial theorem and its applications.
 Logarithms and their applications.
MATRICES AND DETERMINANTS:
 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.
 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 threedimensional 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.
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.
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 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, 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.
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.
In PaperI, Total questions of Mathematics are 120 for 300 marks and duration of exam is 21/2 Hours.
All questions will carry 2.5 marks each, which will only be allotted for choosing the correct answer. 1/3^{rd} Marks will be deducted for each incorrect answer.
PART2
General Ability Syllabus
The general ability section comprises of two parts which are mentioned below:
(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.
(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 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.
Section B – Chemistry
Preparation and Properties of Hydrogen, Oxygen, Nitrogen and CarbonDioxide, Oxidation and Reduction, Material used in the preparation of substances like soap, Glass, Ink, Paper, Cement, Paints, Safety Matches, and GunPowder, 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 – Biology
Basis of Life – Cells, Protoplasm’s and Tissues, Constituents of food, Balanced Diet, Achievements of Eminent Scientists, Difference between the living and nonliving, 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 (1015 questions)
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, Cooperatives and Community Development, Role of India in the present world.
Section E – Geography (1520 questions)
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 Anticyclones, 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 – Indian polity (58 questions)
Section G – Economy (510 questions)
Section G– Current Events (1015 questions)
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.