nda (i/ii ) 2017 examination pattern, syllabus & other details details/nda exam.pdf · nda...

NDA (I/II ) 2017 EXAMINATION PATTERN, SYLLABUS & OTHER DETAILS

1 Join NDCA – National Defence Career Academy; India’s No.1 coaching for competitive exams, Website – www.ndca.in ; Contact : 0 88 99 350 692 ; E-Mail : [email protected];

Address – 140/3A – Krishna Vihar Mathura (UP) 281004;




The entrance for National Defense Academy comprises of a Written Exam followed by Intelligence and

Personality Test. The details follow:

DEFENCE FORCES

⇓

NDA ⇒ OFFICER ⇒ 15 OLQs ⇒ Written Test + SSB Interview ⇒ 900+900 = 1800 Marks

The written exam consists of two papers.

Written Examination

Paper Subject Duration Maximum Marks

I Mathematics 2.5 hours 300 II General Ability Test 2.5 hours 600

Total 900

General (but important) instructions about written examination

The General Ability Test consists of-

Part Subject Maximum

Marks Part A English 200

Part B Sections -(i-vi)

General Knowledge ⇓

400

(i) Physics 100

(ii) Chemistry 60 (iii) General Science 40 (iv) History, Freedom Movement etc. 80

(v) Geography 80 (vi) Current Events 40

Total 600

Interview

The Union Public Service Commission will declare a qualified list of candidates (based on the written

exam).

The selected candidates will appear before a Services Selection Board for Intelligence and Personality

Test.

Candidates for the Army/Navy wings of the NDA and Executive branch of Naval Academy will be

assessed on officers potentiality

Candidates for the Air Force wing, along with officer potentiality assessment, will also undergo a

Pilot Aptitude Test.

Two Stage Selection Procedures

Two stage selection procedures will be based on Psychological Aptitude Test and Intelligence Test.

ORs (officer Ranks) PBORs (Persons Below Officers Ranks)




All the candidates will be put to stage one test on first day of reporting at Selection Centres/Air Force

Selection Boards.

Only those candidates who qualify at stage one will be admitted to the second stage.

Those candidates who qualify stage II will be required to submit the original Certificates along with

one photocopy each of :

o Original Matriculation pass certificate or equivalent in support of date of birth

o Original 10+2 pass certificate or equivalent in support of educational qualification

For final qualification, candidates for the Army/Navy and Naval Academy should secure the

minimum qualifying marks separately in (i) Written examination and (ii) Officer potentiality test,

and candidates for the Air Force should secure the minimum qualifying marks separately in (i)

Written examination (ii) Officer potentiality test, and (iii) Pilot Aptitude Test as fixed by the

Commission in their discretion.

Qualified candidates will then be placed in the final order of merit on the basis of total marks secured

by them in the Written examination, and the Services Selection Board Tests in three separate lists:

o Army and the Navy,

o Air Force

o Executive course at the Naval Academy.

The names of candidates who qualify for all the Services of NDA and the Naval Academy will appear

in all the three Merit Lists.

The final selection for admission will be made in order of merit depending on the number of

vacancies in each wing.

The selection will be subject to medical fitness and suitability in all other respects.

NOTE: A candidate who fails in the Pilot Aptitude Test cannot apply for admission to the National Defence

Academy Examination, the Air Force wing or General Duties (Pilot) Branch or Naval Air Army.

Complete Syllabus of NDA & NA Entrance Examination

Paper I MATHEMATICS

1. Algebra - Concept of a 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 application. Logarithms and their applications.

2. Matrices and Determinants- Types of matrices, operations on matrices Determinant of a matrix, basic

properties of determinant. Adjoint and inverse of a square matrix, Applications – Solution of a system of

linear equations in two or three unknowns by Cramers 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 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 a function at a

point, geometrical and physical interpreatation of a derivative – applications. Derivatives of sum, product and

quotient of functions, derivative of a function with respect of 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 equation, 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 vector, scalar product or dot product of twovectors.

Vector product and cross product of two vectors. Applications-work done by a force and moment of a force,

and in geometrical problems.

8. Statistics and Probability- StatisticsClassification 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

Part A – ENGLISH

The question paper in English will be designed to test the candidates 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 candidates proficiency in English.

Part B – GENERAL KNOWLEDGE

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. Candidates

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, Ohms 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,

Mariners 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 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 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.

Kindly Note :

Out of maximum marks assigned to part B of this paper,questions on Sections A, B, C, D, E and F will

carryapproximately 25%, 15%, 10%, 20%, 20% and 10% weightages respectively.

Cut off Marks of NDA and NA Entrance Exam

NDA (I/II) 2014 Cut off “You need to score a minimum of 35% in NDA(I)2014 & 30% in NDA(II) 2014 in both the papers”

YEAR Minimum qualifying

standard approved at the written stage (Out of 900 marks)

Marks secured by the last finally recommended

candidate (Out of 1800 marks)

2014 (I) 360 722 2014 (II) 283 656

SPEED & ACCURACY MATTERS THE MOST IN NDA EXAM,LEARN HOW TO YOU SOLVE THEM QUICKLY Mathematics

Q.1 If A+B+C = then Sin A Sin B + Sin B Sin C + Sin C Sin A = ?

(a)

(b)

(c) 1 (d)

Q.2 In a parallelogram ABCD,Coordinates of its three vertices are (2,16) (6,7) & (8,11).Find the

coordinates of its fourth vertex ? (a) (3,6) (b) (4,5) (c) (4,6) (d) (4,20)

Q.3 If a , b and c are in A.P. then bc , ca , ab are in ?

(a) A.P. (b) G.P. (c) H.P. (d) None Q.4 What is the differantiation of X ?

(a) 1 (b)

(c) dX (d) None

Q.5 Find the equation of a line,Which passes through the point (2,3) ?

(a) 2x - 3y = 5 (b) 3x – 2y = 0 (c) 2x + 3y = 1 (d) 3x - 2y = 6 English




1. Antonyms , Synonyms & one word substitution → on the basis of the roots –

2. Para - Jumbles (Sequencing) → Cause- Effect relationship → Noun-Pronoun Sequence

→ Mandatory Pair → Chronology → Article way

3. Passages → Direct based – ( CUT-COPY –PASTE ) → Inference based – on the basis of Critical Reasoning – Need to understand force of

Argument, Tone of a passage & type of statement.

4. Grammar → According to the rules & regulations of modern English usage.

Course Details – National Defence Academy (NDA-I/ II) 2017 Fee – Rs. 12500 /- only

1. Course wraping up - → Basic Clarity → Advance Level → Typical Level → Revision

2. Test Series - → 10 Full Length Test Series → Sectional Tests → All India Rank

3. Workshops - → Test Series Result Analysis workshop → Current Affairs Analysis 4. Interview Classes- → Group Discussion → Screening Test → WAT → TAT → PI

5. Notes / Study Material- → English Booklet → Physics Booklet → Chemistry

→ Biology Booklet → History Booklet → Geography → Polity Booklet → Current Affairs → Maths Booklet

Roots Meaning Examples

Anti Against , Opposite Antivirus , Anti-corruption , Antiparty ,Antiterrorism ,Antipathy , Antibiotic , Anticeptic

Trans One place to another Transfer , Transport , Transaction , Transparent , Translation , Translation etc.

Aqua Water Aqueous , Aquarium , Aquafina , Aquaguard , Aquatic-animals , Aquatic-plants , etc.

Bio Life Biology , Bio-diversity , Bio-fuel , Bio-mass , Bio- molecule , Autobiography etc.

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