UPSC NDA Syllabus: यूपीएससी एनडीए की कर रहे है तैयारी तो यहां देखें पूरा सेलेबस और एग्जाम पैर्टन?

• 1

Subject

• Mathematics

• 300

Duration

• 150 Mintues

Marking Per Question

• 2.5

Negative Marking Per Question

• 1/3 of the marks allotted for the question

• 2

Subject

• General Ability Test

• 600

Duration

• 150 Mintues

Marking Per Question

• 4

Negative Marking Per Question

• 1/3 of the marks allotted for the question

• 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 a decimal system to a binary system and vice-versa.
• Arithmetic, geometric and harmonic progressions.
• Quadratic equations with real coefficients.
• The solution of linear inequations of two variables by graphs.
• Permutation and combination.
• Binomial theorem and its applications.
• Logarithms and their applications.

• Types of matrices
• Operations on matrices
• Determinant of a matrix
• Basic properties of determinants
• Adjoint and inverse of a square matrix
• Applications of matrices
  1. Solution of a system of linear equations in two or three unknowns using Cramer’s rule
  2. Solution of a system of linear equations in two or three unknowns using Matrix Method

• Angles and their measures in degrees and radians
• Trigonometric ratios
• Trigonometric identities including sum and difference formulae
• Multiple and sub-multiple angles
• Inverse trigonometric functions
• Applications such as height and distance and properties of triangles.

• Rectangular Cartesian Coordinate system
• Distance formula
• Equation of a line in various forms
• The angle between two lines
• The distance of a point from a line
• Equation of a circle in standard and general form
• Standard forms of parabola, ellipse, and hyperbola
• Eccentricity and axis of a conic
• A point in three-dimensional space and the distance between two points
• Direction cosines and direction ratios
• Equation of a plane and a line in various forms
• The angle between two lines and the angle between two planes
• Equation of a sphere

• Concept of a real-valued function including domain, range, and graph of a function.
• Composite functions and their properties including one-to-one, onto, and inverse functions.
• Understanding of the notion of limit and examples of standard limits.
• Continuity of functions and examples, including algebraic operations on continuous functions.
• Derivative of a function at a point, with geometrical and physical interpretation, and applications.
• Derivatives of sum, product, and quotient of functions, a derivative of a function with respect to another function, a derivative of a composite function, and second-order derivatives.
• Understanding increasing and decreasing functions.
• Application of derivatives in problems of maxima and minima.

• Integration as the inverse of differentiation.
• Methods of integration: 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 of integrals.
• Definition of order and degree of a differential equation.
• Formation of a differential equation by examples.
• General and particular solutions of differential equations.
• Solutions of the first-order and first-degree differential equations of various types.
• Applications in problems of growth and decay.

• 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 in work done by a force and moment of a force and in geometrical problems

• 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.

• Grammar & usage
• Comprehension & cohesion
• Spotting errors
• Para Jumbling
• Fill in the blanks
• Synonyms & Antonyms
• Vocabulary
• Cloze Test
• Idioms & Proverbs
• Completion of Sentence & Para
• Sentence Correction & Improvement

• 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, 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
• Mariners Compass
• Lightning Conductors
• Safety Fuses

• Preparation and Properties of Hydrogen, Oxygen, Nitrogen, and Carbon Dioxide, Oxidation and Reduction.
• Acids, bases and salts.
• Carbon— different forms.
• Fertilizers—Natural and Artificial.
• The 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.
• Physical and Chemical Changes.
• Elements.
• Mixtures and Compounds.
• Symbols, Formulae and simple Chemical Equation.
• Law of Chemical Combination (excluding problems).
• Properties of Air and W

• 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.
• Difference between the living and non-living.
• Basis of Life—Cells, Protoplasms and Tissues.
• Growth and Reproduction in Plants and Animals.
• Elementary knowledge of the Human Body and its important organs.

• Forces shaping the modern world: The 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.
• A broad survey of Indian History, with emphasis on Culture and Civilisation.
• Basic Teachings of Mahatma Gandhi.
• Freedom Movement in India.
• Elementary study of the 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.

• Latitudes and Longitudes.
• The Earth, its shape and size.
• Ocean Currents and Tides.
• 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.
• Earth’s Functioning – Ocean Currents, Tides, Atmosphere and its composition, Temperature and Atmospheric Pressure, Planetary Winds, Cyclones and Anticyclones, Humidity, Condensation and Precipitation.
• Types of Climates.
• 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.

• Important events in India in recent years
• Prominent personalities
• Current important world events

English Syllabus Weightage in NDA Exam

General Awareness

• Verbal and non-verbal tests.
• PPDT

• Thematic Apperception Test (TAT)
• Word Association Test (WAT)
• Situation Reaction Test (SRT)
• Self-Description Test (SD)

• Group Discussion(GD)
• Group Planning Exercise(GPE)
• Progressive Group Task(PGT)
• Half Group Task(HGT)
• Individual Obstacles Task(IOT)
• Command Task
• Snake Race/Group Obstacle Race
• Individual lecture
• Final Group Task(FGT)