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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 : ndca@live.com;
Address – 140/3A – Krishna Vihar Mathura (UP) 281004;
NDA (I/II ) 2017 EXAMINATION PATTERN, SYLLABUS & OTHER DETAILS
2 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 : ndca@live.com;
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)
NDA (I/II ) 2017 EXAMINATION PATTERN, SYLLABUS & OTHER DETAILS
3 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 : ndca@live.com;
Address – 140/3A – Krishna Vihar Mathura (UP) 281004;
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
NDA (I/II ) 2017 EXAMINATION PATTERN, SYLLABUS & OTHER DETAILS
4 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 : ndca@live.com;
Address – 140/3A – Krishna Vihar Mathura (UP) 281004;
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.
NDA (I/II ) 2017 EXAMINATION PATTERN, SYLLABUS & OTHER DETAILS
5 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 : ndca@live.com;
Address – 140/3A – Krishna Vihar Mathura (UP) 281004;
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
NDA (I/II ) 2017 EXAMINATION PATTERN, SYLLABUS & OTHER DETAILS
6 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 : ndca@live.com;
Address – 140/3A – Krishna Vihar Mathura (UP) 281004;
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
NDA (I/II ) 2017 EXAMINATION PATTERN, SYLLABUS & OTHER DETAILS
7 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 : ndca@live.com;
Address – 140/3A – Krishna Vihar Mathura (UP) 281004;
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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