Eligibility Condition

Nationality

Candidate must be unmarried and must either be

• ❖ Citizen of India, or
  ❖ Subject of Nepal, or (certificate of eligibility required)
  ❖ A person of Indian origin who has migrated from Pakistan, Burma, Sri Lanka and East African Countries of Kenya, Uganda, the United Republic of Tanzania, Zambia, Malawi, Zaire and Ethiopia or Vietnam with the intention of permanently settling in India.(certificate of eligibility required)

* Certificate of eligibility will not be necessary in the case of candidates who are Gorkha subjects of Nepal

Age Limits, Sex and Marital Status:

• Only unmarried male candidates, not not more than 21 years and not less than 17 years, are eligible. (Check date given in recent notification)

Note: Candidates must undertake not to marry until they complete their full training.

A candidate who marries subsequent to the date of his application though successful at this or any subsequent Examination will not be selected for training.

A candidate who marries during training shall be discharged and will be liable to refund all expenditure incurred on him by the Government.

Education Qualification

• ❖ 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.

Center of Examination

Agartala	Ahmedabad	Aizawl	Bengaluru	Bareilly
Bhopal	Chandigarh	Chennai	Cuttack	Dehradun
Delhi	Dharwad	Dispur	Gangtok	Hyderabad
Imphal	Itanagar	Jaipur	Jammu	Jorhat
Kochi	Kohima	Kolkata	Lucknow	Madurai
Mumbai	Nagpur	Panaji	Patna	Port Blair
Prayagraj	Raipur	Ranchi	Sambalpur	Shillong
Shimla	Srinagar	Thiruvanthampuram	Tirupati	Udaipur
Visakhapatnam

Fees of the Examination

Candidates (Excepting SC/ST candidates/Sons of JCOs/NCOs/ORs) are required to pay a fee of Rs. 100/-.

Plan of Examination

• Two Stage of Examination
  ❖ Written examination (Objective Type)
  
  • ➢ For Admission to Indian Military Academy, Indian Naval Academy and Air Force Academy
  
  

  Subject	Duration	Maximum Marks
  Mathematics	2.5 Hours	300
  General Ability Test	2.5 Hours	600
  Total Marks		900

  
  ❖ Interview for intelligence and personality test
  
  • ➢ The SSB procedure consists of two stage Selection process
    • ■ Stage I
      • ● Officer Intelligence Rating (OIR) Tests
      • ● Picture Perception* Description Test (PP&DT)
      • ● Only those candidates who clear the stage I are permitted to appear for stage II.
    
    
    • ■ Stage II : 4 days
      • ● Interview
      • ● Group Testing Officer Tasks
      • ● Psychology Tests
      • ● Conference.
    
    

Syllabus of Examination

Mathematics

• ❖ ALGEBRA
  • ➢ 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, cube roots of unity. Binary system of numbers.
  • ➢ Conversion of a number in the decimal system to binary system and vice-versa.
  • ➢ Arithmetic, Geometric and Harmonic progressions.
  • ➢ Quadratic equations with real coefficients.
  • ➢ Solution of linear inequalities of two variables by graphs.
  • ➢ Permutation and Combination.
  • ➢ Binomial theorem and its applications.
  • ➢ Logarithms and their applications.


• ❖ 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.


• ❖ TRIGONOMETRY
  • ➢ Angles and their measures in degrees and in radians.
  • ➢ Trigonometric ratios.
  • ➢ Trigonometric identities Sum and difference formulae.
  • ➢ Multiple and Sub-multiple angles.
  • ➢ Inverse trigonometric functions.
  • ➢ Applications-Height and distance, properties of triangles.


• ❖ 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.


• ❖ 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.


• ❖ 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 differential equations, solution of first order and first degree differential equations of various types—examples.
  • ➢ Application in problems of growth and decay.


• ❖ 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.


• ❖ 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.
  
  
General Ability Test
• ❖ Part ‘A’—ENGLISH (Maximum Marks—200)
  • ➢ Grammar and usage
  • ➢ Vocabulary
  • ➢ Comprehension


• ❖ Part ‘B’—GENERAL KNOWLEDGE (Maximum Marks—400)
  • ➢ 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, 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; Lightning Conductors, Safety Fuses.
  
  
  • ➢ 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 Carbon Dioxide, 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.
  
  
  • ➢ General Science
    • ■ Difference between the living and nonliving.
    • ■ 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.
  
  
  • ➢ Social Studies
    • ■ 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.
  
  
  • ➢ Geography
    • ■ The 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 Anticyclones
    • ■ 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.
  
  
  • ➢ 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.

Physical Standards

For Medical Standards for Army, Navy and Air Force (Flying Branch and Ground Duty Branch) candidates may refer

• ❖ Please visit www.joinindianarmy.nic.in for Medical Standards and Procedure of Medical Examination of Officers’ Entry into Army as applicable.
• ❖ Please visit www.joinindiannavy.gov.in for Medical Standards and Procedure of Medical Examination of Officers’ Entry into Navy as applicable.
• ❖ Please visit www.careerindianairforce.cdac.in for Medical Standards and Procedure of Medical Examination of Officers’ Entry into Air Force as applicable

Note: Permanent body tattoos are only permitted on the inner face of forearm i.e from inside of elbow to the wrist and on the reverse side of palm/back (dorsal) side of hand.

Permanent body tattoos on any other part of the body are not acceptable and candidates will be barred from further selection.

Tribes with tattoo marks on the face or body as per their existing custom and traditions will be permitted on a case to case basis.

How to Apply

• Candidates are required to apply online by using the website http://upsconline.nic.in
• Before Applying for the examination, must read notification details and check detailed physical & medical fitness required for the post you want to choose.
• For notification you must visit www.upsc.nic.in