**NDA & NA Exams Details**

NDA exam is conducted **twice a year** by UPSC. Candidates can appear for both the sessions of NDA exam. NDA 1 exam is conducted for admission to the courses commencing in January. NDA 2 exam is conducted for admission to the courses commencing in July.

**Education Eligibility Criteria**

**According to NDA eligibility criteria, female and male candidates who have completed their Class 12 or equivalent can apply for the exam. **

**Army and Air Force**

The minimum acceptable height is 157 cms (162.5 cms for Air Force). The minimum height is relaxed by 5 cms for Gorkhas and individuals belonging to hills of the North-Eastern regions of India, Garhwal, and Kumaon. However, the minimum height is reduced by 2 cms for candidates belonging to Lakshadweep.

**The details in this regard are discussed below.**

Height in cm | Weight in Kg | ||

– | 16-17 years | 17-18 years | 18-19 years |

152 | 42.5 | 44.0 | 45.0 |

155 | 43.5 | 45.3 | 47.0 |

157 | 45.0 | 47.0 | 48.0 |

160 | 46.0 | 48.0 | 49.0 |

162 | 48.0 | 50.0 | 51.0 |

165 | 50.0 | 52.0 | 53.0 |

167 | 51.0 | 53.0 | 54.0 |

170 | 52.5 | 55.0 | 56.0 |

173 | 54.5 | 57.0 | 58.0 |

175 | 56.0 | 59.0 | 60.0 |

178 | 58.0 | 61.0 | 62.0 |

180 | 60.0 | 63.0 | 64.5 |

183 | 62.5 | 65 | 66 |

**Navy**

**The standards are different for Navy posts and the particulars are summarized below:**

Height in cm | Weight in Kg | ||
---|---|---|---|

– | 16 years | 18 years | 20 years |

152 | 44 | 45 | 46 |

155 | 45 | 46 | 47 |

157 | 46 | 47 | 49 |

160 | 47 | 48 | 50 |

162 | 48 | 50 | 52 |

165 | 50 | 52 | 53 |

167 | 52 | 53 | 55 |

170 | 53 | 55 | 57 |

173 | 55 | 57 | 59 |

175 | 57 | 59 | 61 |

178 | 59 | 61 | 62 |

180 | 61 | 63 | 64 |

183 | 63 | 65 | 67 |

Candidates have to meet the special requirement as a pilot in the Air Force. The acceptable measurements of leg length, thigh length and sitting height are given below :

- Leg Length: Minimum of 99 cms and Maximum of 120 cms
- Thigh Length : Minimum is not applicable while Maximum of 64 cms
- Sitting Height : Minimum of 81.50 cms and Maximum of 96 cms

**Vision Standard**

### Naval Candidates

· Uncorrected without glass 6/6, 6/9

· Corrected with glass 6/6, 6/6

· Limits of Myopia –0.75

· Limits of Hypertrophy +1.5

· Binocular vision III

· Limits of colour perception I

Candidates who are wearing spectacles habitually are not eligible for **Air Force**. According to the official sources, the minimum distant vision 6/6 in one eye and 6/9 in other, correctable to 6/6 only for Hypermetropia. Colour vision CP-I Hypermetropia: +2.0 D Sph Manifest Myopia : Nil Retinoscopic Myopia : 0.5 in any Meridian permitted Astigmatism : + 0.75 D Cyl (within + 2.0 D.Max) Maddox Rod Test.

**Physical Conditioning **

### The aspiring candidates are advised to be in the good physical condition by following the routine mentioned below.

1. Running 2.4 km in 15 minutes

2. Skipping

3. Pushups and sit ups (minimum 20 each)

4. Chin ups (minimum 08)

5. Rope climbing 3-4 metres.

**Nationality**

**A candidate must be either:**(i) a Citizen of India, or

(ii) a subject of Nepal, or

(iii) a subject of Bhutan, or

(iv) a Tibetan refugee who came over to India before January 1, 1962, with the intention of permanently settling in India, or

(v) a person of Indian origin who has migrated from Pakistan, Burma, Sri Lanka or East African Countries of Kenya, Uganda, the United Republic of Tanzania, Zambia, Malawi, Zaire, and Ethiopia or from Vietnam with the intention of permanently settling in India.

**Note:**

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

**Educational Qualification:**

**1. For Army Wing of National Defence Academy:**

The candidates must have the Class 12 pass of the 10+2 pattern of School Education or equivalent examination conducted by a State Education Board or a University.**2. For Air Force and Naval Wings of National Defence Academy and for the 10+2 Cadet Entry Scheme at the Indian Naval Academy:**

The candidates must have the Class 12 pass of the 10+2 pattern of School Education or equivalent with Physics and Mathematics conducted by a State Education Board or a University.

**Note:**

Candidates who are appearing in the 12th Class under the 10+2 pattern of School Education or equivalent examination can also apply for this examination. Such candidates who qualify the SSB interview but could not produce Matriculation/10+2 or equivalent certificate in original at the time of SSB interview should forward duly self-attested Photocopies

Candidates appearing in the 11th class exam are not eligible for this examination

Those candidates who have yet to qualify in the 12th class or equivalent examination and are allowed to appear in the UPSC Examination should note that this is only a special concession given to them. They are required to submit proof of passing the 12th class or equivalent examination by the prescribed date of UPSC (i.e. for NDA (I) is December 24, 2019, and for NDA (II) is June 24, 2020) and no request for extending this date will be entertained on the grounds of late conduct of Board/University Examination, delay in declaration of results or any other ground whatsoever

Candidates who are debarred by the Ministry of Defence from holding any type of Commission in the Defence Services shall not be eligible for admission to the examination and if admitted, their candidature will be cancelled

Those candidates who have failed INSB/PABT earlier are not eligible for Air Force

**Age Limit :**

**Age Limits, Sex and Marital Status:**

#### Roles and Responsibilities

- On reporting to the Academy, a cadet is allotted to one of the 18 Squadrons, which becomes his home-away-from-home for the next three years. The Squadrons are named as Alpha, Bravo, Charlie, Delta, Echo, Foxtrot, Golf, Hunter, India, Juliet, Kilo, Lima, Mike, November, Oscar, Panther, Quebec, and Romeo. No. 1, No. 2, No. 3 and No. 4 Battalions have four squadrons each while No. 5 has 2 squadrons. Each squadron has approximately 100 to 120 cadets drawn from senior as well as junior courses under training in the Academy
- They earn INR 21,000 as stiffened. After completing three years training in Pune, they will obtain a degree from JNTU in computer science/ B.A. after that trade training is given and their career starts in Indian army lieutenant. And navy candidates can start their career as a sub-lieutenant and those who selected air force start their career flying officer

**NDA & NA (I) and (II) Exam Pattern**

**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 | 2½ Hours | 300 |

General Ability Test | 02 | 2½ Hours | 600 |

TOTAL | 900 | ||

SSB Test/Interview: | 900 |

**NDA I & II Exam Pattern**

**THE PAPERS IN ALL THE SUBJECTS WILL CONSIST OF OBJECTIVE TYPE QUESTIONS ONLY. THE QUESTION PAPERS (TEST BOOKLETS) OF MATHEMATICS AND PART “B” OF GENERAL ABILITY TEST WILL BE SET BILINGUALLY IN HINDI AS WELL AS ENGLISH.**- In the question papers, wherever necessary, questions involving the metric system of Weights and Measures only will be set.
- Candidates must write the papers in their own hand. In no circumstances will they be allowed the help of a scribe to write answers for them.
- The Commission have discretion to fix qualifying marks in any or all the subjects at the examination.
- The candidates are not permitted to use calculator or Mathematical or logarithmic table for answering objective type papers (Test Booklets). They should not therefore, bring the same inside the Examination Hall.

**SYLLABUS OF THE EXAMINATION**

**PAPER-I**

**MATHEMATICS**

**(Code No. 01)**

**(Maximum Marks-300)**

**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. Compex 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, 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 plan 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**

GENERALABILITY TEST

**(Code No. 02)**

**(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 thesesubjects 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 Nonconductors, 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 an 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.