NDA Syllabus 2023, Maths and GAT Syllabus PDF Download

NDA Syllabus 2023

NDA Syllabus for Paper 1

NDA Syllabus for Mathematics

Topic	NDA Syllabus
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 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.
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. Trigonometrical 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. The angle between two lines. Distance of a point from a line. Equation of a circle in standard and in a general form. Standard forms of parabola, ellipse, and hyperbola. Eccentricity and axis of a conic. Point in a three-dimensional space, the 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, the 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 a 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, the 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 Binominal distribution.

 

The topic-wise question distribution in Maths
 

Topic	Questions
Calculus	20-25
Quadratic equation	20-15
Matrices & Determinants	30
Probability	10
Trigonometry	30
Complex number	10-15

 

NDA Syllabus for Paper II

General Knowledge (GK), English, Chemistry, Physics, Geography, General Science, and Current Events are some of the topics covered in the second paper, the General Ability Test. There are 150 questions in total, 50 of them are from the English language and 100 from general knowledge. Each question is worth four marks, and each incorrect response results in a deduction of 1.33 marks.

NDA Syllabus: English

• Sentence Improvement
• Reading Comprehension
• Synonyms
• Antonyms
• One Word Substitution
• Para-Jumble
• Sentence-Jumble
• Spot the Error
• Cloze Test

 

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NDA Syllabus for General Knowledge

Physics	Physical Properties and States of Matter Modes of transference of Heat Mass, Weight, Volume, Sound waves and their properties Simple musical instruments Rectilinear propagation of Light Density and Specific Gravity Reflection and refraction Principle of Archimedes Spherical mirrors and Lenses Pressure Barometer Human Eye Motion of objects Natural and Artificial Magnets Velocity and Acceleration Properties of a Magnet Newton’s Laws of Motion Earth as a Magnet Force and Momentum Static and Current Electricity Parallelogram of Forces Conductors and Non-conductors Stability and Equilibrium of bodies Ohm’s Law Gravitation Simple Electrical Circuits Elementary ideas of work Heating, Lighting, and Magnetic effects of Current Power and Energy Measurement of Electrical Power Effects of Heat Primary and Secondary Cells Measurement of Temperature and Heat Use of X-Rays General Principles in the working of 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. Physical Properties and States of Matter Modes of transference of Heat Mass, Weight, Volume, Sound waves and their properties Simple musical instruments Rectilinear propagation of Light Density and Specific Gravity Reflection and refraction Principle of Archimedes Spherical mirrors and Lenses Pressure Barometer Human Eye Motion of objects Natural and Artificial Magnets Velocity and Acceleration Properties of a Magnet Newton’s Laws of Motion Earth as a Magnet Force and Momentum Static and Current Electricity Parallelogram of Forces Conductors and Non-conductors Stability and Equilibrium of bodies Ohm’s Law Gravitation Simple Electrical Circuits Elementary ideas of work Heating, Lighting, and Magnetic effects of Current Power and Energy Measurement of Electrical Power Effects of Heat Primary and Secondary Cells Measurement of Temperature and Heat Use of X-Rays General Principles in the working of 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	Preparation and Properties of Hydrogen, Oxygen, Nitrogen and Carbon Dioxide, Oxidation and Reduction. Acids, bases and salts. Carbon— different forms Physical and Chemical Changes Fertilizers—Natural and Artificial Elements Material used in the preparation of substances like Soap, Glass, Ink, Paper, Cement, Paints, Safety Matches, and Gunpowder Mixtures and Compounds Elementary ideas about the structure of Atom Symbols, Formulae, and simple Chemical Equation Atomic Equivalent and Molecular Weights Law of Chemical Combination (excluding problems) Valency Properties of Air and Water
General Science	Common Epidemics, their causes, and prevention Difference between the living and non-living Food—Source of Energy for man Basis of Life—Cells, Protoplasms, and Tissues Constituents of food Growth and Reproduction in Plants and Animals Balanced Diet Elementary knowledge of the Human Body and its important organs The Solar System—Meteors and Comets, Eclipses. Achievements of Eminent Scientists
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, 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. 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.
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.

 

NDA Exam Pattern 2023

Subject	Paper	Total No. Of Questions	Exam Duration	Maximum Marks
Mathematics	1	120	2.5 Hours	300
General Ability Test	2	150	2.5 Hours	600
Total		270	5 Hours	900

 

Mathematics Paper:

• Each right answer will fetch 4 marks, while for the wrong answer 1.33 marks shall be deducted.
• The total time duration for this section is 2.5 hours.

 

Paper I- Mathematics
Total Marks	300 Marks
Total No. of Questions	120

• General English
• General Knowledge
• There are 50 questions in the English section.
• While the GK section has 100 questions.
• Each right answer will fetch 4 marks, while for the wrong answer 1.33 marks shall be deducted.
• The time duration for the GAT Section is 2.5 hours.

Paper-II- General Ability Test
Total Marks	600 marks
Total No. of Questions	150
No. of questions in English Section	50
No. Of questions in General knowledge Section	100

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NDA Exam Pattern: SSB Interview

Stage 1	Screening Test	Verbal and non-verbal tests. PPDT
Stage 2	Psychological Test	Thematic Apperception Test (TAT) Word Association Test (WAT) Situation Reaction Test (SRT) Self Description Test (SD)
Group Testing Officers Test	GD GPE PGT HGT IoT Command Task Snake race/Group Obstacle Race Individual lecture FGT
Personal Interview & conference	–