UPSC NDA Syllabus 2017–2018 in Hindi NDA/NA I, II Exam Syllabi, Written Exam Pattern Paper 1 & 2 Download pdf

UPSC NDA Syllabus

Check all new UPSC NDA Syllabus from here and start your preparation for National Defence Academy and Naval Academy examination!!! Candidates who are going to participate in the NDA NA examination must require for UPSC NDA Syllabus PDF in Hindi to know details about subjects and their topics and to make better preparation. Applicants, who are looking for NDA/NA I, II Exam Syllabi and NDA Written Exam Pattern Paper 1 & 2 for preparation, must get it from here. Scroll down this page and grab all details regarding UPSC NDA Syllabus 2017–2018.

Union Public Service Commission is going to conduct the examination to recruit the deserving and eligible candidates at the vacant position in Army Navy and Air Force. Those want to grab this opportunity have qualify the exam, in this UPSC NDA NA 1 & 2 Syllabus helps to know about topics and it worthy so you can prepare accordingly to qualify exam  with good marks. Candidates to get complete UPSC NDA Syllabus 2017–2018 PDF must go through this page which is well predated by the team of

UPSC NDA Syllabus 

Organization Union Public Service Commission
Exam name National Defence Academy & Naval Academy Examination
Category UPSC NDA Syllabus

UPSC NDA NA Syllabus for paper 1 (mathematics):

Algebra Statistics and Probability
  • 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 and 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 application
  • Logarithms and their applications.

  • 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


  • 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
Matrices and Determinants  Vector Algebra
  • 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.
  • 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 two-vectors
  • Vector product and cross product of two vectors
  • Applications-work done by a force and moment of a force, and in geometrical problems
Differential Calculus Integral Calculus and Differential Equations
  • 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 of another function, derivative of a composite function
  • Second order derivatives. Increasing and decreasing functions
  • Application of derivatives in problems of maxima and minima
  • 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
Trigonometry Analytical Geometry of two and three dimensions
  • 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
  • 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

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UPSC NDA NA Exam pattern for paper 1:

Paper Subject Total Marks
Mathematics Algebra 300
Matrices and Determination
Analytical Geometry
Differential Calculus
Integral Calculus and Differential Equations
Vector Algebra
Statistics and Probability

Check out: How to Crack NDA Exam

UPS NDA Paper II Syllabus:

Part A: National Defence Academy exam Syllabi for English

The question paper in English is designed to test the candidate’s understanding of the English language and workman like use of words. The syllabus covers various broad topics, like

  • Grammar and Application
  • Vocabulary
  • Comprehension and Cohesion

Part B: UPSC National Defence Academy Syllabus for General Ability

The question paper on General Knowledge broadly covers the following subjects.

Section A: UPSC NDA Syllabus for Physics

Physical Properties and States of Matter Mass
Weight Volume
Density 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

Get Here: NDA Previous Year Question Paper

Section B: UPSC NDA Syllabus for Chemistry

Physical and Chemical changes Elements Mixtures and Compounds Symbols Formulae
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
Online Chemistry Quiz

Section C: UPSC NDA Syllabus for 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
General Science Quiz

Section D: UPSC NDA II Syllabus for History

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: UPSC NDA I Syllabus for Geography

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 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 World Geography Questions and Answers

Section F: UPSC NDA Syllabus for 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

NDA General Ability Paper Pattern

General Knowledge Subjects Marks
Physics 100
History 80
Geography 80
Chemistry 60
General Science 40
Current Events 40

UPS NDA Paper Pattern II

Paper Subject Total Marks
General Ability test English 600
General Knowledge

UPSC NDA Exam Pattern

UPSC NDA (I) Exam paper consists of two sections – Mathematics and General Ability Test. Both test papers consist of Multiple Choice Questions.

Paper Number of Questions Time Marks
Paper I: Mathematics 120 2.5 Hours 300
Paper II: English & General Ability 150 2.5 Hours 600
Total 270 5 Hours 900

NDA Negative Marking Scheme

  • For each wrong answer One third (0.33) of the marks of the total marks will be deducted as penalty.
  • In case if more than one answer will be given by the candidates for same question, it will be treated as wrong answer and same penalty will be applied as above for that question.
  • If answers is left blank or no question is attempted by the candidates, then no penalty will applicable for that question.

NDA Exam Marking Pattern

Subjects Total Marks Marks for Correct Answer Marks for Incorrect Answer
Mathematics 200 2.5 -0.83
English 400 4 -1.33
General Knowledge 600 4  -1.33

Must Attention!!

National Defence Academy Examination Pattern which is given above is not applicable for commerce students that mean only biology and arts students can apply for Indian army wings through NDA and they will be asked questions from General ability (General Knowledge and English).

Applicants who have taken (PCM) Physics, Chemistry and Maths streams in 12th class they can apply for any wings and for officer level posts one should have a graduate degree.

Must check these tips:

Steps to Follow during Online Examination

Tips to Prepare For Written Examination

UPSC NDA Exam Syllabus for Intelligence and Personality Test:

Intelligence and Personality Test is the final recruitment stage and leads to appointment of candidates. Intelligence /Personality Test are comprises of 2 rounds. First is Officer Intelligence Rating (OIR) test that is Picture Perception * Description Test (PP & DT) and second one is of Interview, Group Testing Officer Tasks, Psychology Tests and the Conference.  In broad terms, the test will be executed not only for assessment his intellectual qualities but also his social traits and interests in current affairs.

About NDA NA Exam:

National Defence Academy and Naval Academy examination is conducted by the Union Public Service Commission twice in a year. Those candidates who will qualiefy this exam will get training together in National Defence Academy for army, navy and Air force. After completing the training in the academy candidates will be posted at the job profile for which they had applied earlier. To reach the respective designation applicants have to go through prelims, mains and Intelligence and Personality Test. Recruitment panel of the commission has decided to recruit the candidates in the basis of their performance in mains and interview.

UPSC NDA NA Study Material:

After collecting complete UPSC NDA syllabus, candidates must get start their preparation topic wise by referring below provided UPSC NDA NA preparation books-

NDA / NA Books Author
Manorama Yearbook Mathew M
Mathematics for NDA and NA: National Defence Academy and Naval Academy R S Aggarwal
Objective General Knowlegde & Current Affairs Disha Experts
Objective General Knowlegde & Current Affairs
Pathfinder for NDA & NA Entrance Examination National Defence Academy/Naval Academy Conducted by UPSC
Quantitative aptitude for competitive examinations R.S. Aggarwal
NDA & NA National Defence Academy and Naval Academy Entrance Examination: 10 Practice Sets (English) by Expert Compilations
NDA INA Practice Papers: Conducted by UPSC (English) Sachchida Nand Jha
Chapterwise- Sectionwise Solved Papers NDA & NA (Mathematics/English/General Ability) with Explanatory Solutions : Mathematics / English / General Ability with Explanatory Solutions Latest (English) Arihant Experts


Applicants we have provided complete UPSC NDA Syllabus 2017–2018 so whenever you are preparing for the exam must check UPSC NDA Syllabus directly from here. Candidates can also visit the official website link to get more details about the same.

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