**UPSC NDA Syllabus Exam Pattern, Selection Process: **Every year, A huge number of students apply for the UPSC NDA examination to get selected in Indian Army, Indian Navy, and India Air Force. That’s what all the applied students always try to search the exact and best syllabus for the UPSC NDA NA (I&II) examination. Therefore, Here we are providing the best UPSC NDS Syllabus and NDA Exam Pattern with the selection process for the NDA examination which will help students to do preparation for the UPSC NDA 1st 2017 examination as well as NDA 2nd exam 2017.

**Apply Online For UPSC NDA Exam 2017**

If you have applied for the UPSC NDA examination 2017 and looking for the UPSC NDA exam pattern, NDA 2017 syllabus, model papers, selection process then you are on the right website. Here you can get all the necessary and required details about the UPSC NDA 2017 Syllabus as well as Exam Pattern.

UPSC stands for the Union Public Service Commission which is responsible to manage, direct, as well as organise the NDA (National Defence Academy) & Naval Academy Examination yearly.The UPSC conducts NDA examination twice in a Year with the name of UPSC NDA/NA I exam and UPSC NDA/NA II exam.The UPSC offer the NDA examination for 12th pass students who pass 12th examination with Physics, Chemistry and mathematics.

**UPSC NDA NA Exam Pattern 2017:**

The Union Public Service Commission consists NDA examination in 2 parts – UPSC Prelims exam and UPSC Mains exam. NDA examination in two papers first is Mathematics and second is General Ability Test. Both papers consist all the MCQ (Multiple choice questions ) of objective type questions only. The NDA General Ability Test paper is divided into two parts – Part A and Part B. In which, part A has 50 questions of English and part B has 100 questions of General Knowledge (GK).

**UPSC NDA Paper I Exam Pattern 2017**

Paper | Subjects | Durations | Questions | Total Marks |

Mathematics | Algebra | 2 hours 30 minutes | 120 questions | 300 |

Matrices and Determination | ||||

Trigonometry | ||||

Analytical Geometry | ||||

Differential Calculus | ||||

Integral Calculus and Differential Equations | ||||

Vector Algebra | ||||

Statistics and Probability |

UPSC NDA Paper II Exam Pattern 2017:

Paper | Subjects | Durations | Questions | Total Marks |

General Ability test | English | 2 hours 30 minutes | 150 questions | 600 |

General Knowledge (GK) |

### Important Points:

- All questions will be objective type only (MCQs).There will two parts in the exam Part A will contain Mathematics questions whereas Part B will be General Ability Test.
- There will two parts in the exam Part A will contain Mathematics questions whereas Part B will be General Ability Test.All questions will be English as well as Hindi languages.
- All questions will be English as well as Hindi languages.Candidates are not allowed to get help from a scribe while writing their paper.
- Candidates are not allowed to get help from a scribe while writing their paper. Candidates are not allowed to bring a Mathematical or logarithmic table or calculator inside the examination hall.
- Candidates are not allowed to bring a Mathematical or logarithmic table or calculator inside the examination hall.UPSC will prepare a merit list of candidates who have obtained the minimum qualifying marks.
- UPSC will prepare a merit list of candidates who have obtained the minimum qualifying marks.All qualified students will be called for further to appear in Intelligence and Personality Test before a Services Selection Board.
- All qualified students will be called for further to appear in Intelligence and Personality Test before a Services Selection Board.

## NDA NA Syllabus 2017

**UPSC NDA NA Syllabus – Mathematics:**

**Algebra**

The Concept of a set, Venn diagrams, operations on sets, De Morgan’s laws, Cartesian relation, product, equivalence relation. Complex numbers – basic modulus, argument, properties, cube roots of unity. Representation of real numbers on a line, Binary system of numbers, Conversion of a number in decimal system to binary system and vice-versa.

Arithmetic, Harmonic, Geometric progressions. A solution of linear inequations of two variables by graphs. Quadratic equations with real coefficients. Permutation and Combination. Logarithms and their applications. Binomial theorem and its application.

**Matrices and Determinants**

Types of operations, matrices on matrices. Basic properties of determinants, Determinant of a matrix. Applications – Solution of a system of linear equations in two or three unknowns by Cramer’s rule and by Matrix Method, Adjoint and the inverse of a square matrix.

**Trigonometry**

Trigonometrical ratios, Angles and their measures in degrees and in radians, Trigonometric identities Sum and difference formulae, Inverse trigonometric functions, Multiple and Submultiple angles, Applications – Distance and height, properties of triangles.

**Analytical Geometry of two and three dimensions**

Distance formula, Rectangular Cartesian Coordinate system, Equation of a line in various forms, Angle between two lines, Equation of a circle in standard and in general form, Distance of a point from a line, ellipse and hyperbola, Standard forms of parabola, Eccentricity and axis of a conic.

The distance between two points, point in a three-dimensional space, Direction ratios and Direction Cosines. An equation of a plane and a line in various forms. An angle between two planes and Angle between two lines, Equation of a sphere.

**Differential Calculus**

Concept of a real valued function – domain, range and graph of a function. Composite functions, onto and inverse, one to one functions. Standard limits, Notion of limit examples. Continuity of functions – algebraic, examples operations on continuous functions. Derivative of function at a geometrical, point and physical interpretation of a derivative applications. Derivatives of product, sum and quotient of functions, derivative of a composite function, derivative of a function with respect of another function, Increasing and decreasing functions, Second order derivatives, Application of derivatives in problems of maxima and minima.

**Integral Calculus and Differential Equations**

Integration by substitution and by parts, Integration as inverse of differentiation, standard integrals involving algebraic trigonometric, expressions, hyperbolic and exponential functions. Evaluation of definite integrals, determination of areas of plane regions bounded by curves, applications. Definition of degree and order of a differential equation and formation of a differential equation by examples. Application in problems of growth and decay. Particular and General solution of a differential equation, solution of first degree and first order differential equations of various types examples.

**Vector Algebra**

Vectors in two and three dimensions, direction and magnitude of a vector. Scalar multiplication of a vector, Addition of vectors, Unit and null vectors, scalar product or dot product of two-vectors. Cross product of two vectors or vector product. Applications-work done by a force and moment of a force, and in geometrical problems.

**Statistics and Probability**

**Statistics: **Frequency Distribution, Classification of data, Cumulative frequency distribution – examples. Graphical representation – Pie Chart, Histogram, Frequency Polygon – examples. Measures of Central tendency – Median, Mode and Mean. Correlation and regression, Standard and Variance deviation – determination and comparison.

**Probability:** Outcomes and associated sample space, Random experiment, events, mutually exclusive and exhaustive events, impossible events and certain events. Intersection and Union of events. Elementary, Complementary 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.

**UPSC NDA Syllabus – General Ability Test:**

**Part A – English Exam Syllabus**

The English question paper will be designed to exam the student’s understanding of English and workmanlike use of words. The syllabus covers various aspects like vocabulary, Grammar and usage, comprehension and cohesion in extended text to test the student’s proficiency in English.

**Part B – General Knowledge Exam Syllabus**

The General Knowledge (GK) Question paper on broadly covers the subjects: Chemistry, Physics, General Science, Geography, Current Events, Social Studies.

The syllabus given below is designed for indicating the scope of these subjects included in this paper. The topics mentioned are not as exhaustive and questions on topics of similar nature not specifically mentioned in the syllabus may also be asked. Your answers are expected to show your knowledge and intelligent understanding of the subject.

**Section A: Physics**

- Physical Properties and States of Matter, Weight, Mass, Density, Volume, and Specific Gravity, Pressure Barometer, Principle of Archimedes.
- The motion of objects, Newton’s Laws of Motion, Velocity and Acceleration, Force and Momentum, Stability and Equilibrium of bodies, Parallelogram of Forces, Gravitation, Power and Energy, elementary ideas of work.
- Measurement of temperature and heat, Effects of Heat, change of State and Latent Heat, Modes of transference of Heat. Simple musical instruments, Sound waves and their properties.
- Reflection and refraction, Rectilinear Propagation of Light. Human Eye, Spherical Mirrors and Lenses.
- Properties of a Magnet, Earth as a Magnet, Natural and Artificial Magnets.
- Conductors and Nonconductors, Static and Current Electricity, Ohm’s Law, Simple Electrical Circuits, Lighting, Heating, and Magnetic effects of Current, Primary and Secondary Cells, Measurement of Electrical Power, Use of X-Rays.
**General Principles in the working of the following:**Simple Pendulum, Siphon, Simple Pulleys, Balloon, Levers, Pumps, Pressure Cooker, Hydrometer, Thermos Flask, Telegraphs, Gramophone, Telephone, Telescope, Periscope, Microscope, Lightening Conductors, Mariner’s Compass, Safety Fuses.

**Section B: Chemistry**

- Physical and Chemical changes. Mixtures, Elements, and Compounds, Formulae, Symbols, and simple Chemical Equations, Law of Chemical Combination ( excluding problems ). Properties of Air and Water.
- Preparation and Properties of Oxygen, Hydrogen, Nitrogen and Carbon Dioxide, Oxidation and Reduction.
- Acids, bases and salts
- Fertilizers – Natural and Artificial
- Carbon – different forms
- Elementary ideas about the Structure of Atom, Equivalent, Atomic And Molecular Weights, Valency.
- The material used in the preparation of substances like Glass, soap, Ink, Cement, Paper, Paints, Gun-Powder and Safety Matches.

**Section C: General Science**

- Basis of Life – Cells, Protoplasms and Tissues
- Difference between the living and nonliving
- Elementary knowledge of human Body and it’s important organs
- Growth and Reproduction in Plants and Animals
- Food – Source of Energy for man. Constituents of food, Balanced Diet
- Common Epidemics, their causes and prevention
- Achievements of Eminent Scientists
- The Solar System – Meteors and Comets, Eclipses

**Section D: History, Freedom Movement, etc.**

- A broad survey of Indian History, with emphasis on Culture and Civilisation
- Elementary study of Indian Constitution and Administration
- Freedom Movement in India
- Panchayati Raj, Co-operatives and Community Development
- Elementary knowledge of Five Year Plans of India
- Bhoodan, Sarvodaya, National Integration and Welfare State, Basic Teachings of Mahatma Gandhi.
- French Revolution, Industrial Revolution and Russian Revolution. Impact of Science and Technology on Society
- Forces shaping the modern world; Renaissance, Exploration and Discovery; War of American Independence
- The concept of one World, Panchsheel, United Nations, Democracy. Socialism and Communism. Role of India in the present world.

**Section E: Geography**

- The Earth, its shape and size. The concept of time, Latitudes and Longitudes. Movements of Earth and their effects. International Date Line.
- Ocean Currents and Tides
- Rocks and their classification; Weathering – Mechanical and Chemical, Earthquakes and volcanoes. Origin of Earth.
- Atmosphere and its composition, Planetary Winds, Temperature and Atmospheric Pressure, cyclones and Anticyclones, Humidity, Types of Climate, Condensation and Precipitation. Major Natural regions of the World.
- Important Sea ports and main sea, land and air routes of India. Main items of Imports and Exports of India.
- Regional Geography of India – Natural vegetation, Climate. Mineral and Power resources; location and distribution of agricultural and industrial activities.

**Section F: Current Events**

- Current important world events.
- Knowledge of Important events that have happened in India in the recent years.
- Prominent personalities – both Indian and International including those connected with cultural activities and sports.

**Important 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 Syllabus**

In addition to the interview, the students will be put to Intelligence tests both nonverbal and verbal, designed to assess their basic intelligence. They will also be put to Group Tests such as group planning, group discussions, outdoor group tasks as well as asked to give brief lectures on specified subjects. All these tests are intended to judge the mental calibre of a candidate. In broad terms, this is really an assessment of not only his intellectual qualities but also his social traits and interests in current affairs.

**UPSC NDA NA Selection Process Details: **

Candidates who have done 12th (10+2) examination with Physics, Chemistry and Maths are able to apply online for the UPSC NDA (National Defence Academy) examination 2017. NDA selection procedure is based on the two process, first is Written examination and second is SSB Interview. Below we have given UPSC NDA selection process with brief information and required details.

**NDA Selection Process:**

UPSC conducts National Defence Academy (NDA) Examination in 2 Stages.

**Written Exam****Interview**

**Written Exam: **The written examination will consist in two papers – Mathematics and General Ability Test (English and GK). The Mathematics paper consists 120 questions, conducts for 2 ½ Hours and Maths paper consists maximum 300 marks. The General Ability consists 120 questions, conducts for 2 ½ Hours and General Ability paper consists maximum 600 marks. Both papers in all the subjects will consist of Multiple choice questions only. The Mathematics & Part B of General Ability Test question papers will be set bilingually in English and Hindi.

**Interview:** Students who will pass in the written examination will be called for Interview which is conducted by Services selection board (SSB). For the Indian Army, Indian Navy Wings and 10 +2 Entry Scheme students need to face Intelligence exam and Personality exam. However, for the Indian Air Force wing the students must have to attend a Pilot Aptitude exam. Therefore, the Interview consists both Intelligence and Personality exam.

**Intelligence and Personality Test:**

The SSB process consists of 2 stage selection procedure – stage 1st and stage 2nd. However, Only those students are permitted to appear for stage 2nd who clear the stage 1st. Full details are given below:

**Stage 1st:** This stage includes of OIR (Officer Intelligence Rating) exams are (PP and DT) Picture Perception Description Test. So, candidates will be shortlisted on the basis of combination of performance in the QIR Test as well as PP and DT.

**Stage 2nd: **This stage comprises of the Interview, Psychology Tests, Group Testing Officer Tasks as well as the Conference. In addition to, these stage 2 exams are held over 4 days.

The singularity of a candidate is judged by 3 different assessors namely – The IOI (Interviewing Officer), GTO (Group Testing Officer) as well as the Psychologist. In addition to, there are no separate consequence for each exam. All the marks are allotted by the assessors only after taking into opinion the candidate’s performance holistically in all exam / test. Along with, all marks for conference are also allocated in the basis of preparatory candidate’s performance in the 3 decision as well as techniques of the Board and all these have similar weightage.

As well as, the several tests of Interviewing Officer, Group Testing Officer, and Psychologist are designed to bring out the presence or absence of Officer such as qualities and ability in the candidate. By the way, students are Recommended or Not Recommended at the Services selection board (SSB).

**UPSC NDA NA Exam Pattern, Syllabus, Selection Procedure 2017**

Here we have uploaded all the UPSC NDA NA exam pattern, syllabus, Selection procedure 2017 for those who are going to appear in the UPSC NDA 2017 examination which is conducted 2 times in a one year. UPSC NDA syllabus exam pattern 2017 has been released, so students must check the exam pattern and syllabus because it will be helpful to so preparations for the UPSC NDA NA prelims and Main examinations. A proper syllabus and exam pattern always be helpful for the candidates. After the examination, candidates can check their UPSC NDA selection process 2017 from here which is given above. We wish all the Best of Luck to all who is going to be a part of UPSC NDA Examination 2017.

Basic need for natural selection

If we have only 1 month for exam then on which topics of 1st puc maths we should pay attention?

Thank you this information helped me a lot