NDA Written Exam

NDA

 

Online  Course Staring From

15 june 2020 to 15 Aug 2020

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Online Course Staring From 1 july 2020 to 15 Aug 2020 50% Discount for Old Students of SHARPSHOOTERS

NDA(I) 2020  19th APRIL

***(PostPONEDED DUE TO COVID-19)

Will Update The Exam Dates Soon

  CRASH COURSE

SL NO.

DATE FEES* (Rs.) DURATION TIME

1.

15-Jun2020 To 15-Aug-2020

22000

  10000/-

60 Days

0900h – 1800h

(WILL UPDATE SOON)

2.

20-June.-2019

To

20-AUG.-2019

22000

 

10000/-

 

60 Dyas

0900h – 1800h

 

 

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 1st & 15th OF EVERY MONTH 

 

 

PAPER

ONLINE FORM AVAILABLE

DATE OF EXAMINATION

NDA – I

 

19 Apr 2020

NDA – II

 

6 sept 2020

 

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.