Defence

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.

**World Physical 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.

- 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

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.

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.

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, 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

The syllabus covers various aspects like : Grammar and usage, vocabulary, comprehension and cohesion in extended tex to test the candidate’s proficiency in English.

**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 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 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 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 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.

**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 Binomial distribution

**(i) Written Stage: ** Objective type questions only.

Subject |
Duration |
Maximum Marks |

Mathematics | 2 hr 30 min | 300 |

General Ability Test | 2 hr 30 min | 600 |

**(ii) SSB/Interview: 900 Marks**

- 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.
- Stage I comprises of Officer Intelligence Rating (OIR) tests are Picture Perception Description Test (PP&DT).
- Stage II Comprises of Interview, Group Testing Officer Tasks, Psychology Tests and the Conference.
- These tests are conducted over 4 days.

**(a) Nationality**

A candidate must be unmarried male and must be :

(i) a citizen of India, or

(ii) a subject of Nepal

**(b) Age Limits:** 16.5-19.5 years

**(c) Educational Qualifications**

For Army Wing of National Defence Academy: 12th Class pass of the 10+2 pattern of School Education or equivalent examination conducted by a State Education Board or a University.

For Air Force and Naval Wings of National Defence Academy and for the 10+2 Cadet Entry Scheme at the Indian Naval Academy:— 12th Class pass with Physics, Chemistry and Mathematics of the 10+2 pattern of School Education or equivalent 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

Answer Keys

- NDA - I 2014 GAT
- NDA - I 2014 MATH
- NDA - II 2014 GAT
- NDA - II 2014 MATH
- NDA - I 2015 GAT
- NDA - I 2015 MATH
- NDA - II 2015 GAT
- NDA - II 2015 MATH
- NDA - I 2016 GAT
- NDA - I 2016 MATH
- NDA - II 2016 GAT
- NDA - II 2016 MATH
- NDA - I 2017 GAT
- NDA - I 2017 MATH
- NDA - II 2017 GAT
- NDA - II 2017 MATH
- NDA - I 2018 GAT
- NDA - I 2018 MATH
- NDA - II 2018 GAT
- NDA - II 2018 MATH
- NDA - I 2019 GAT
- NDA - I 2019 MATH
- NDA - II 2019 GAT
- NDA - II 2019 MATH
- NDA - I & II 2020 GAT
- NDA - I & II 2020 MATH

Exam |
(Out of 900) |
(Out of 1800) |

NDA-I & II 2020 | 355 | 723 |

NDA - I 2019 | 342 | 704 |

NDA - II 2019 | 346 | 709 |

NDA - I 2018 | 338 | 705 |

NDA - II 2018 | 325 | 688 |

NDA - I 2017 | 342 | 708 |

NDA - II 2017 | 258 | 624 |

NDA - I 2016 | 288 | 656 |

NDA - II 2016 | 229 | 602 |

NDA - I 2015 | 306 | 674 |

NDA - II 2015 | 269 | 637 |

NDA - I 2014 | 360 | 722 |

NDA - II 2014 | 283 | 65 |

- Indian Army
- Indian Airforce
- Indian Navy

**Salary during training period:** 56100 per month

Rank |
Pay |

Lieutenant | 56100-177500 |

Captain | 61300-193900 |

Major | 69400-207200 |

Lieutenant Colonel | 121200-212400 |

Colonel | 130600-215900 |

Brigadier | 139600-217600 |

Major General | 144200-218200 |

Lieutenant General | 182200-224100 |

General | 205400-224400 |

**Other Allowances**

1. Military Service Pay

2. Flying Allowance

3. Dearness Allowance

4. Field Area Allowance

5. High Altitude allowance

6. Counter Insurgency Allowance

7. Transport Allowance

8. Children Education Allowance

9. Uniform Allowance

10. Siachin Allowance