Just as we read above, there are mainly two subjects in the written examination. The Mathematics section consists of 300 marks.
- Table: Paper I- Mathematics
| Section |
Chapters |
| Algebra |
Sets, Venn Diagrams, Cartesian product, equivalent relations, Representation of real numbers on line, Maple Numbers- basic properties, modulus, argument, cube roots of unity, Permutation and combination, Geometric and harmonic progressions, quadratic equations, real coefficients, solution of linear equations in a graphical manner. |
| Matrices and Determinants |
Types of Matrices, operations, determinants, basic properties of determinants. Adjoint and inverse square matrix, solution of linear equations. |
| Trigonometry |
Trigonometrically ratios, Sums for application of trigonometrically ratios. Angles and their measures in degrees and in radians. |
| Analytical Geometry of two and three dimensions |
Distance Formula. Rectangular Cartesian Coordinate system. Eccentricity. Equation of a line in various forms. Angles between two lines. |
| Differential Calculus |
Continuity of functions – examples, algebraic operations on continuous functions. geometrical and physical interpretation of a derivative – applications, Derivative of function at a point. |
| Vector Algebra |
Unit and Null Vectors, addition of vectors, scalar multiplication of a vector, and all such topics related to vector |
| Statistics and Probability |
Frequency distribution, mean, median, mode, Pie chart, Bar Graphs, Histogram. |
Paper II- General Ability:
Section A- Physics:
Heat, latent heat, Static Electricity, Current Electricity, Pendulum, Laws of physics like Newton’s Law, Ohm’s Law. General principle in working of levers, simple pulleys, thermos, flask, simple pendulum, etc.
Section B- Chemistry:
The chemical formula of various substances, mixtures, compounds, elements, various experiments using oxygen, hydrogen, nitrogen and carbon di oxide.
Section C- General Science:
This section includes the physiology of human body and the vital life processes like respiration, reproduction, excretion, balance diet, etc.
Section D- (History, Freedom Movement)
An in-depth study of the Freedom movement of India. Study of formation of constitution, development of various five years plan and their implementation. Revolution in Russia and France, renaissance, Freedom movement of USA, World War I and II, etc.
Section E- Geography:
Latitudes and Longitudes, Earth, states and union territories of India, rivers, lakes, mountains and their study. Weathering and soil erosion, Earthquakes and volcanoes, study of the solar system, galaxy, stars and constellations, Ocean currents, Climate and climate change. Cyclones, natural vegetation world.
Books for Preparation:
| Name of the Book |
Publication |
| Parthfinder for NDA and NA Entrance Exam conducted by UPSC |
Arihant Experts |
| Solved Papers for NDA and NA, Topic Wise |
Disha Experts |
| Examination Paper Sets for Practise- NDA and NA exam |
Arihant Experts |
