NDA Syllabus 2023 | Check Syllabus, and Exam Pattern

Chapters

Topics

Analytical Geometry of Two & Three Dimensions

• Rectangular Cartesian Coordinate system.
• Distance formula.
• Equation of a line in various forms.
• The angle between the two lines.
• The 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.
• A 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.
• The angle between two lines and the angle between two planes. Equation of a sphere.

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, 19 Geometric and Harmonic progressions.
• Quadratic equations with real coefficients. The solution of linear inequalities of two variables by graphs.
• Permutation and Combination.
• Binomial theorem and its applications. Logarithms and their applications.

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.

Matrices & Determinants

• Types of matrices, operations on matrices.
• The 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.

Section

Topics

English

Grammar and usage, vocabulary, Reading Comprehension, and cohesion in extended text to test the candidate’s proficiency in English

Physics (Section A)

• Physical Properties and States of Matter, Mass, Weight, Volume, Density, and Specific Gravity, Principle of Archimedes, Pressure Barometer.
• The 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 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 (Section B)

• 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.
• 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

General Science (Section C)

• Difference between the living and nonliving. Basis of Life—Cells, Protoplasms and Tissues.
• Growth and Reproduction in Plants and Animals. Elementary knowledge of the 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

Paper

Mathematics

General Ability Test (GAT)

Exam Duration

2 hours and 30 minutes

2 hours and 30 minutes

No. of sections

1

2 (English and General Knowledge)

Total no. of questions

120

150

Total marks

300

600 (English (200) + GK (400))

Marking scheme

+ 2.5 for correct answer -0.83 for incorrect answer

+4 for correct answer -1.33 for incorrect answer

Medium

English and Hindi

English for the English section. English and Hindi for the GK section

Type of questions

Multiple Choice Questions (MCQs)

Multiple Choice Questions (MCQs)