The latest UPSC NDA syllabus comprises two papers: Mathematics and General Ability Test (GAT). The Mathematics paper covers topics such as algebra, trigonometry, matrices, differential calculus, integral calculus, statistics, and probability. The GAT paper covers topics such as the English language, general knowledge, physics, chemistry, general science, history, geography, current events, and basic economics. The GAT paper also includes questions on logical reasoning, verbal and non-verbal reasoning, and spatial ability.

The syllabus is designed to test the candidate’s mathematical and general knowledge, reasoning ability, and aptitude. Candidates are advised to refer to the official notification for the detailed syllabus and exam pattern.

## Table of Contents

Details of UPSC NDA Exam

## UPSC NDA Written Exam Syllabus

The UPSC NDA written exam comprises two papers: Mathematics and General Ability Test (GAT). Here’s a detailed syllabus for both papers:

Mathematics:

**Algebra:**Concepts of set, operations on sets, Venn diagrams. De Morgan laws. Cartesian product, relation, equivalence relation. Representation of real numbers on a line. Complex numbers, quadratic equations, and linear in-equations. Permutation and combination. Binomial theorem and its applications. Logarithms and their applications.**Matrices and Determinants:**Types of matrices, operations on matrices, the determinant of a matrix, and applications.**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. 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.**Differential Calculus:**Concept of a real-valued function–domain, range, and graph of a function. Derivative of a function at a point, geometrical and physical interpretation of a derivative – 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. Second-order derivatives. Increasing and decreasing functions. Application of derivatives in problems of maxima and minima.**Integral Calculus:**Integration by substitution, by parts, and by partial fractions. Integration using trigonometric identities. Definite integrals, a comparison between definite and indefinite integrals. Applications—Calculation of areas of plane regions bounded by curves, surfaces of revolution, and volumes of solids.**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 and 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, and 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. Conditional probability. Bayes’ theorem – simple problems. Random variable as a function on a sample space. Binomial distribution, examples of random experiments giving rise to Binominal distribution.

General Ability Test (GAT):

**English:**Vocabulary, Grammar and Usage, Comprehension, and Cohesion.**General Knowledge:**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.

a. Physics:**b. Chemistry:**Physical and Chemical changes, elements, mixtures, and compounds, Symbols, Formulae, and simple Chemical Equations, Law of Chemical

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## SSB Interview

The SSB interview for UPSC NDA comprises two stages – Stage I and Stage II. Stage I is a screening test, while Stage II is a comprehensive evaluation of the candidate’s personality.

Here is the detailed syllabus for both stages of the SSB interview:

**Stage I:**

- Officer Intelligence Rating (OIR) Test
- Picture Perception and Description Test (PP&DT)

**Stage II:**

**1. Psychology Tests:**

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

**2. Group Testing Officer (GTO) Tasks:**

- Group Discussion
- Group Planning Exercise
- Progressive Group Task
- Half Group Task
- Individual Obstacle Task
- Command Task
- Lecturette
- Final Group Task

**3. Personal Interview**

**4. Conference**

The SSB interview tests the candidate’s Officer-Like-Qualities (OLQs), such as effective intelligence, reasoning ability, communication skills, initiative, confidence, determination, courage, and leadership qualities. The tests are designed to assess the candidate’s potential to become an officer in the Indian Armed Forces.

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## FAQ – UPSC NDA Syllabus

### What is the best way to cover the UPSC NDA syllabus?

The best way to cover the UPSC NDA syllabus is through a well-planned and structured approach.

Here are some tips to help you cover the syllabus effectively:**Get familiar with the syllabus:** Start by thoroughly understanding the UPSC NDA syllabus and exam pattern. This will give you a clear idea of the topics and sections that you need to focus on.**Create a study plan: **Once you have understood the syllabus and exam pattern, create a study plan that suits your needs. Allocate time to cover each topic and section, and make sure to include regular revision sessions.**Choose the right study material: **Selecting the right study material is crucial for effective preparation. Refer to standard books, study guides, and online resources that cover the entire syllabus.**Practice mock tests:** Practicing mock tests is an important aspect of UPSC NDA preparation. It helps you understand the exam pattern, manage time effectively, and identify your weak areas.**Revise regularly:** Regular revision is essential for retaining what you have learned. Allocate time for regular revision sessions, and use flashcards, mind maps, and other techniques to aid revision.**Stay motivated:** Preparing for UPSC NDA can be challenging, so it’s important to stay motivated throughout the process. Stay focused on your goals, take breaks when needed, and maintain a healthy balance between study and other activities.

Remember, consistency and perseverance are key to success in the UPSC NDA exam. With a well-planned approach and consistent effort, you can cover the syllabus effectively and excel in the exam.