Crash Course Staring From 19 March 2019 to 19 April 2019 Will Be Free for Old Students of SHARPSHOOTERS  

CRASH COURSE

SL NO. DATE FEES* (Rs.) DURATION TIME
1. 19-Mar-2019 To 18-Apr-2019 18500 30 Days 0900h – 1800h
2. 24-Mar.-2019 To 18-Apr.-2019 18000 25 Dyas 0900h – 1800h

Note: – * Above Fee is excluding GST – 18%. 

REGULAR BATCHES   

SL NO. FEES (Rs.) DURATION TIME
1. 27000 60 Days 0900h – 1600h
2. 23000 45 Dyas 0900h – 1700h

Note: – * Above Fee is excluding GST – 18%. 

 

new BATCH WILL COMMENCE ON 1st & 15th OF EVERY MONTH 

PAPER ONLINE FORM AVAILABLE DATE OF EXAMINATION
NDA – I 09 Jan 2019 To 04 Feb 2019 21 Apr 2019
NDA – II 07 Aug 2019 To 03 Sep 2019 17 Nov 2019

SUBJECTS

PAPER-I (MATHS)  PAPER-II (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 2015-l NO. OF QUESTIONS 2014-ll
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 2015-l NO. OF QUESTIONS 2014-ll
 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 2015-l NO. OF QUESTIONS 2014-ll
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. 2015-ll NO. OF Q. 2015-l NO. OF Q. 2014-ll
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. 2015-l NO. OF Q. 2014-ll
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 Non-metals 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. 2015-l NO. OF Q. 2014-ll
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 – 1st 02 03 03
7 Human system -2nd  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.

PART-1

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 vice-versa.
  • 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, Applications-Solution 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 Sub-multiple angles.
  • Inverse trigonometric functions.
  • Applications-Height 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 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.

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 first-degree 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 Paper-I, Total questions of Mathematics are 120 for 300 marks and duration of exam is 2-1/2 Hours.

All questions will carry 2.5 marks each, which will only be allotted for choosing the correct answer. 1/3rd  Marks will be deducted for each incorrect answer.

PART-2

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 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 – Biology

 Basis of Life – Cells, Protoplasm’s 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 (10-15 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, Co-operatives and Community Development, Role of India in the present world.

Section E – Geography (15-20 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 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 – Indian polity           (5-8 questions)

Section G – Economy                 (5-10 questions)

Section G– Current Events      (10-15 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.