The Examination will be conducted in Two Phase.

Phase – I Written Examination (Objective Type)

Phase – II SSB Test/Interview

**UPSC NDA & NA 2 (II) 2019**Written Exam The subjects of the written examination, the time allowed and the maximum marks allotted to each subject will be as follows:

Subject |
Code |
Duration |
Maximum Marks |

Mathematics |
01 |
2 Hours & 30 Minutes |
300 |

General Ability Test |
02 |
2 Hours & 30 Minutes |
600 |

Total 900 SSB Test/Interview 900 |

**IMPORTANT**

**1. CANDIDATES TO ENSURE THEIR ELIGIBILITY FOR THE EXAMINATION:**

The candidates applying for the examination should ensure that they fulfil all the

eligibility conditions for admission to the Examination. Their admission at all the

stages of the examination will be purely provisional subject to satisfying the prescribed

eligibility conditions.

Mere issue of Admission Certificate to the candidate will not imply that his

candidature has been finally cleared by the Commission.

Verification of eligibility conditions with reference to original documents is taken up

only after the candidate has qualified for interview/Personality Test.

**2. PENALITY FOR WRONG ANSWERS:**

Candidates should note that there will be penalty (

**Negative Marking)**for wronganswers marked by a candidate in the Objective Type Question Papers.

**3.**For both writing and marking answers in the OMR sheet (Answer Sheet) candidates

must use

**black ball pen**only Pens with any other colour are prohibited. Do notuse Pencil or Ink pen.

The approximate number of vacancies to be filled on the results of this examination

will be as under :—

**National Defence Academy**: 342 (208 for Army,

` 42 for Navy and 92 for Air Force)

**Naval Academy : 50**

(10+2 Cadet Entry Scheme)

__________________________________________________________________

**Total : 392**

**CENTRES OF EXAMINATION:**

The Examination will be held at the following Centres :

Agartala, Ahmedabad, Aizawl, Allahabad, Bengaluru, Bareilly, Bhopal,

Chandigarh, Chennai, Cuttack, Dehradun, Delhi, Dharwad, Dispur, Gangtok,

Hyderabad, Imphal, Itanagar, Jaipur, Jammu, Jorhat, Kochi, Kohima, Kolkata,

Lucknow, Madurai, Mumbai, Nagpur, Panaji (Goa), Patna, Port Blair, Raipur,

Ranchi, Sambalpur, Shillong, Shimla, Srinagar, Thiruvananthapuram, Tirupati,

Udaipur and Vishakhapatnam.

**CONDITIONS OF ELIGIBILITY :**

**(a) Nationality : A candidate must be unmarried male and must be :**

(i) a citizen of India, or

(ii) a subject of Bhutan, or

(iii) a subject of Nepal, or

(iv) a Tibetan refugee who came over to India before the 1st January, 1962

with the intention of permanently settling in India, or

(v) a person of Indian origin who has migrated from Pakistan, Burma, Sri

Lanka and East African Countries of Kenya, Uganda, the United Republic of

Tanzania, Zambia, Malawi, Zaire and Ethiopia or Vietnam with the intention

of permanently settling in India.

Provided that a candidate belonging to categories (ii), (iii), (iv) and (v)

above shall be a person in whose favour a certificate of eligibility has been

issued by the Government of India.

Certificate of eligibility will not, however, be necessary in the case of

candidates who are Gorkha subjects of Nepal.

**(b) Age Limits, Sex and Marital Status :**

Only unmarried male candidates born not earlier than

**02nd July, 2000**and notlater than

**1st July, 2003**are eligible.**B. SYLLABUS OF THE EXAMINATION****PAPER-I**

**MATHEMATICS**

**(Maximum Marks-300)**

1 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 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,

18

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. Trigonometrical

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—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.

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 a

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 Binominal distribution.

**PAPER-II**

**GENERAL ABILITY TEST**

**(Maximum Marks—600)**

**Part ‘A’—ENGLISH (Maximum Marks—200)**

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.

**Part ‘B’—GENERAL KNOWLEDGE (Maximum Marks—400)**

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.

**Section ‘A’ (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; Lightening

Conductors, Safety Fuses.

**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

Carbondioxide, 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.

**Section ‘C’ (General Science)**

Difference between the living and non-living. 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.

**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.

**Section ‘E’ (Geography)**

The Earth, its shape and size. Lattitudes 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 Anti-cyclones; 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.

**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.

**NOTE :**Out of maximum marks assigned to part ‘B’ of this paper, questions on

Sections ‘A’, ‘B’, ‘C’, ‘D’, ‘E’ and ‘F’ will carry approximately 25%, 15%, 10%,

20%, 20% and 10% weightages respectively.

**Intelligence and Personality Test**

The SSB procedure consists of two stage Selection process – stage I and

stage II. Only those candidates who clear the stage I are permitted to appear

for stage II. The details are :

(a) Stage I comprises of Officer Intelligence Rating (OIR) tests are Picture

Perception * Description Test (PP&DT). The candidates will be shortlisted

based on combination of performance in OIR Test and PP&DT.

(b) Stage II Comprises of Interview, Group Testing Officer Tasks, Psychology

Tests and the Conference. These tests are conducted over 4 days. The details

of these tests are given on the website joinindianarmy.nic.in.

The personality of a candidate is assessed by three different assessors

viz. The Interviewing Officer (IO), Group Testing Officer (GTO) and the

Psychologist. There are no separate weightage for each test. The mks are

allotted by assessors only after taking into consideration the performance of the

candidate holistically in all the test. In addition, marks for Conference are also

allotted based on the initial performance of the Candidate in the three

techniques and decision of the Board. All these have equal weightage.

The various tests of IO, GTO and Psych are designed to bring out the

presence/absence of Officer Like Qualities and their trainability in a candidate.

Accordingly candidates are Recommended or Not Recommended at the SSB.