NDA 2020 Exam Guide: Pattern, Syllabus, Result & Cut Off

Event

Date

NDA 1 2020 Notification Release Date

8th January 2020

NDA 1 2020 Application Start Date

8th January 2020

NDA 1 Exam Date 2020

19th April 2020 (Postponed)

NDA 2 Exam Date 2020

6th September 2020 (tentatively)

Academy

Educational Qualification

For Army wing of NDA

12th Class pass or equivalent exam 

For Air Force and Naval wings of NDA and 10+2 Cadet entry scheme at INA

12th Class pass or equivalent, with Physics and Mathematics.

Course

Vacancy

National Defence Academy (Indian Army)

208

National Defence Academy (Indian Navy)

42

National Defence Academy (Indian Air Force)

120

Indian Naval Academy Course

48

Total

418

Paper

Duration

Marks

Paper I: Mathematics (300 Marks)

2.5 hours

300 marks

Paper-II: General Mental Ability (600 Marks)

Section 1: English

Section 2: General Knowledge (GK)

2.5 hours

600 marks ( English- 200 marks, GK- 400 marks)

Under GK, following is the weightage for various topics:

1. Physics: 25% weightage

2. Chemistry: 15% weightage

3. General Science: 10% weightage

4. History Freedom Movement: 20% weightage

5. Geography: 20% weightage

6. Current Events: 10% weightage

Stages

Tests

Stage 1 

Screening Test

Verbal and non-verbal tests.

PPDT

Stage 2

Psychological Test

Thematic Apperception Test (TAT)

Word Association Test (WAT)

Situation Reaction Test (SRT)

Self Description Test (SD)

Group Testing Officers Test

Personal Interview

-

Conference

-

NDA Exam

Cut off for written exam

NDA 1 2018

338 (With at least 25% marks in each subject)

NDA 2 2018

325 (With at least 25% marks in each subject)

NDA 1 2017

342 (With at least 25% marks in each subject)

NDA 2 2017

258 (With at least 25% marks in each subject)

NDA 1 2016

288 (With at least 25% marks in each Subject)

NDA 2 2016

229 (With at least 20% marks in each subject)

NDA Exam

Cut off for final selection

NDA 1 2018

705

NDA 2 2018

688

NDA 1 2017

708

NDA 2 2017

624

NDA 1 2016

656

NDA 2 2016

602

Paper-1: Mathematics (300 Marks)

S.No

Topic

Syllabus

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 the 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. Trigonometric 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-application. 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 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 Binomial distribution.

Paper-2: General Ability Test (600 Marks)

Section

Topic

Syllabus

Section A

(200 Marks)

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.

Section B

(400 Marks)

General Knowledge(GK)

The question paper on General Knowledge will broadly cover the subjects: Physics, Chemistry, General Science, Social Studies, Geography and Current Events.

- The syllabus given below is designed to indicate the scope of these subjects included in this paper. The topics mentioned are not to be regarded as exhaustive and questions on topics of similar nature not specifically mentioned in the syllabus may also be asked. Candidate’s answers are expected to show their knowledge and intelligent understanding of the subject.

Part B

(100 Marks out of 400 Marks)

Section ‘A’ of GK (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 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.

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; Lightning Conductors, Safety Fuses

Part B

(60 Marks out of 400 Marks)

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 Carbon Dioxide, 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 Gun-Powder. Elementary ideas about the structure of Atom, Atomic Equivalent and Molecular Weights, Valency.

Part B

(40 Marks out of 400 Marks)

Section ‘C’ (General Science)

Difference between the living and nonliving. 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.

Part B

(80 Marks out of 400 Marks)

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.

Part B

(80 Marks out of 400 Marks)

Section ‘E’ (Geography)

The Earth, its shape and size. Latitudes 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 Anticyclones; 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.

Part B

(40 Marks out of 400 Marks)

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.