Mock Test available in English, Hindi
You will get these exam in single purchase :
NDA & NA Examination Paper1 (Mathematics)
NDA & NA Examination Paper2 (General Ability Test)
UPSC (Union Public Service Commission) conducts the National Defence Academy & National Naval Academy Examination (NDA & NA Examination) twice a year. It is a nationallevel exam for recruiting the candidates in Army, Navy, and Air force.
In a year it is conducted as NDA & NA (I), and NDA & NA (II) Examinations. The exam consists of 2 Papers (1) Mathematics and (2) General Ability Test (GAT). The syllabus of both papers is based on CBSE 10+2 standards. After qualifying for the written test the candidates are called for an NDA SSB Interview. And hence the final selection of Students depends on their performance in the written exam and SSB Interview.
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Subject  Qns.  Marks 

Mathematics  120  300 
Total  120  300 
Educational Qualifications for NDA and NA:
(A) For Army Wing of National Defence Academy:
• 12th Class pass in the 10+2 school education pattern, or equivalent examination administered by a State Education Board or a University.
(B) 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 from the 10+2 school education pattern or equivalent from a State Education Board or a University
Age Limit for NDA and NA:
The age limit of the applicants should be between 15.7 years to 18.7 years.
*Only unmarried male/female candidates born between the dates of July 2nd, 2003 and July 1st, 2006 are eligible.*
Important Note:
• Candidates enrolled in the 12th grade under the 10+2 school education pattern or an equivalent examination are also eligible to take this exam.
• Candidates who have been prohibited from holding any form of commission in the Defence Services by the Ministry of Defence will be ineligible to take the exam.
• A candidate must be an unmarried male/Female who is either an Indian citizen, a person of Indian origin who has migrated from Pakistan, or a Nepalese national, Sri Lanka, Burma, and East African countries such as Uganda, Kenya, the United Republic of Tanzania, Zaire, Malawi, Zambia, and Ethiopia, as well as Vietnam, with the intention of permanently relocating to India.
Physical Standard for NDA and NA:
• Aspirants for admission to the National Defence Academy and Naval Academy Examination must be physically fit according to physical standards.
• Aspirants are also advised to correct a few minor flaws/ailments such as Wax (ears), Deviated Nasal Septum, Hydrocele/Phimosis, Overweight/Underweight, Undersized Chest, Piles, Tonsillitis, and Varicocele.
• UPSC has set the different physical, visual, and medical standards for males and females for different posts of CDS, so candidates can check the information of physical standards through the official Website link on our website or whether they can check directly from the official Website of UPSC.
Schemes of the NDA and NA Selection Procedure:
The recruitment process will be held in the following phases.
• Written Exam
• SSB Test/ Interview
• Medical Examination/ Physical Standard
NDA and NA: Written Exam
Subject 
Code 
Duration 
Maximum Marks 
Total number of Questions 
Total Marks 
Mathematics 
01 
2½ Hours 
300 
120 
900 
General Ability Test 
02 
2½ Hours 
600 
150 
Important Note:
• The examination will take place offline.
• All the questions in the written examination will be of Multiple Choice (MCQs) type.
• In the mathematics section each question carries 2.5 marks and in the general ability test, it will carry 04 marks each.
• Each incorrect answer will be 1/3rd marks deduction.
• The Examination test will be conducted in both English and Hindi (`Bilingual).
NDA and NA: Intelligence and Personality Test
The total marks given for the SSB Test/ Interview is 900.
The SSB procedure is divided into two stages:
• StageI and StageII.
*Only those candidates who pass stageI are eligible to take stageII.*
• StageI: Officers Intelligence Rating (OIR) Test are Picture Perception * Description Test (PP & DT)
• StageII: The second stage consists of an interview, Group Testings Officers Task (GTO), psychological tests, and the conference.
The following are the likely positions that will be filled up through this Exam:

Organization Name 
TOTAL 

NDA – National Defence Academy 
Army 
208 (including 10 for female candidates) 

Navy 
42 (including 03 for female candidates) 

Air Force 
Flying 
92 (including 02 for female candidates) 

Ground Duties (Tech) 
18 (including 02 for female candidates) 

Ground Duties (NonTech) 
10 (including 02 for female candidates) 

Naval Academy (10+2 Cadet Entry Scheme) 
30 (for male candidates only) 

TOTAL

400 
Syllabus for NDA and NA: Written Examinations
Mathematics (Paper1 or Code1) 

S.No 
Chapter 
Syllabus 
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. 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 viceversa. 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, ApplicationsSolution 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 radians. Trigonometrical ratios. Trigonometric identities Sum and difference formulae. Multiple and Submultiple angles. Inverse trigonometric functions. ApplicationsHeight 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 derivativeapplication. 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 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 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. 
General Ability Test (Paper2 or Code2) 

Parts 
Chapter 
Syllabus 

Part A (200 Marks) 
ENGLISH 
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 (100 Marks out of 400 Marks) 
GENERAL KNOWLEDGE (GK) 
Section ‘A’ of GK (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 XRays. 

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 

Part B (60 Marks out of 400 Marks) 
GENERAL KNOWLEDGE (GK) 
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 GunPowder. Elementary ideas about the structure of Atom, Atomic Equivalent and Molecular Weights, Valency. 

Part B (40 Marks out of 400 Marks) 
GENERAL KNOWLEDGE (GK) 
Section ‘C’ (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. 

Part B (80 Marks out of 400 Marks) 
GENERAL KNOWLEDGE (GK) 
Section ‘D’ (History, Freedom Movement etc.) 
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, Cooperatives 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. 

Part B (80 Marks out of 400 Marks) 
GENERAL KNOWLEDGE (GK) 
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; WeatheringMechanical 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. 
Part B (40 Marks out of 400 Marks) 
GENERAL KNOWLEDGE (GK) 
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. 
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% weightage respectively
Fee Payable by Candidates for NDA and NA Exam:
For All Other Candidates: Rs. 100/
SC/ST candidates/female candidates/Wards of JCOs/NCOs/ORs: Exempted
Mode of Payment:
• The payment can be made by using either depositing the money in any Branch of SBI by cash, or by using the net banking facility of State Bank of India, or by using Visa/Master/Rupay Credit/Debit Card.
• Applicants who choose the "Pay by Cash" option should print the Payinslip issued by the system during PartII registration and deposit the fee at the SBI Branch counter the next working day only.
• The sons of serving/exJunior Commissioned Officers/NonCommissioned Officers/Other Ranks of the Army, as well as equivalent ranks in the Indian Navy/Indian Air Force, are exempt from paying the prescribed fee if they attend a Military School/Sainik School run by the Sainik Schools Society.
For further information on how to fill out the online application form, see the instructions below.
• Visit the official website of UPSC
• Go to the ''Apply Online'' tab
• Select the "Online Application for Various Examinations" link.
• Click on the ''ONLINE APPLICATION FOR VARIOUS EXAMINATIONS OF UPSC
• Start the NDA/NA registration process with PartI.
• Fillup all the details
• Pay the NDA/NA application fee.
• Upload the scanned photograph and signature
• Agree to the declaration
• Submit the application.
• Make a hard copy for future reference.