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NDA Question Bank

Maximize your UPSC National Defence Academy (NDA) score with our comprehensive chapter-wise, topic-wise interactive practice question bank.

Select a Subject & Chapter to Begin

Click on any chapter below to view sub-topics and solve official UPSC NDA syllabus practice problems.

Algebra

18 Topics

Sets
Venn diagrams
De Morgan laws
Real numbers
Complex numbers
Modulus of complex numbers
Argument of complex numbers
Binary system
Binary conversions
Permutation
Combination
Binomial theorem
Logarithms
Arithmetic progression
Geometric progression
Harmonic progression
Quadratic equations
Linear inequations

Matrices and Determinants

7 Topics

Types of matrices
Matrix operations
Determinant properties
Adjoint of a matrix
Inverse of a matrix
Cramer's rule
Matrix method for solving equations

Trigonometry

9 Topics

Angles
Trigonometric ratios
Trigonometric identities
Sum and difference formulae
Multiple angle formulae
Sub-multiple angle formulae
Inverse trigonometric functions
Height and distance problems
Triangle properties

Analytical Geometry of Two & Three-Dimensions

16 Topics

2D Cartesian system
Equation of a line
Angles in coordinate geometry
Distance between points
Equation of a circle
Tangent to a circle
Parabola
Ellipse
Hyperbola
Eccentricity of conics
3D points
Distance in 3D
Direction ratios
Equation of a line in 3D
Equation of a plane
Equation of a sphere

Calculus

9 Topics

Functions: domain and range
Graph of functions
Composite functions
Inverse functions
Limits
Continuity
Derivatives
Maxima and minima
Increasing and decreasing functions

Integral Calculus and Differential Equations

7 Topics

Indefinite integration
Definite integration
Standard integration formulas
Area under curves
Differential equations: order and degree
First-order differential equations
Growth and decay problems

Vector Algebra

11 Topics

Vectors in 2D
Vectors in 3D
Magnitude of vectors
Direction of vectors
Unit vectors
Null vectors
Scalar product
Vector product
Applications of vectors: work
Applications of vectors: force
Geometrical problems using vectors

Statistics and Probability

9 Topics

Mean
Median
Mode
Standard deviation
Variance
Basic probability
Conditional probability
Bayes' theorem
Binomial distribution

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NDA Question Bank

Select a Subject & Chapter to Begin

Algebra

Matrices and Determinants

Trigonometry

Analytical Geometry of Two & Three-Dimensions

Calculus

Integral Calculus and Differential Equations

Vector Algebra

Statistics and Probability

Grammar & Usage

Vocabulary

Reading Comprehension

Fill-in-the-Blanks

Coherence Tasks

Life Sciences

Health & Diseases

Space & Astronomy

Achievements of Scientists

Mechanics

Properties of Matter

Oscillations and Waves

Heat and Its Transmission

Optics

Electricity and Magnetism

Modern Physics & Applications

Basic Concepts of Chemistry

Atomic Structure & Laws

Chemical Reactions and Equations

Important Gases

Acids, Bases, and Salts

Carbon & Its Compounds

Fertilizers

Everyday Materials and Their Chemistry

Environmental Chemistry

History

Geography

Indian Polity & Constitution

Indian Economy

Science & Technology

Current Affairs

Health & Government Schemes

Culture & Society

World

Solve 10,000+ More UPSC NDA Practice Questions