National Defence Academy & Naval Academy Examination (NDA & NA) — Paper I — Mathematics
Applications of Derivatives (Rate of Change, Maxima and Minima) Applications of Vectors in Geometry and Physics Area under Curves Binomial Theorem Circle Complex Numbers Concept of Real Valued Functions Conic Sections (Parabola, Ellipse, Hyperbola) Definite Integrals Determinants Differentiation Direction Cosines and Direction Ratios Distance Formula Equations of Lines and Planes in Space Formation of Differential Equations Height and Distance Integration as Inverse Process of Differentiation Integration by Parts and Substitution Inverse Trigonometric Functions Limits and Continuity Logarithms Matrices Multiple and Sub-multiple Angles Permutations and Combinations Probability (Random Experiments, Conditional Probability, Bayes Theorem) Properties of Triangles Quadratic Equations Rectangular Cartesian Coordinates Relations and Functions Scalar and Vector Product Sequences and Series Sets Solution of Differential Equations Statistics (Frequency Distribution, Measures of Central Tendency) Straight Lines Trigonometric Equations Trigonometric Identities Trigonometric Ratios Triple Product Vector Addition Premium
120 Questions
150 min Duration
33% Passing Score
About this Exam
UPSC NDA
UPSC NDA is conducted by Union Public Service Commission (UPSC). It is a Offline (OMR/Pen & Paper) exam consisting of 120 questions for 300 marks with a duration of 150 minutes.
There is a negative marking of 0.83 per wrong answer. The minimum qualifying score is Varies by service/annual cut-off.
Exam Pattern
| Section | Questions | Weightage |
|---|---|---|
| Algebra | 25 | 21% |
| Matrices & Determinants | 10 | 8% |
| Trigonometry | 18 | 15% |
| Analytical Geometry (2D & 3D) | 18 | 15% |
| Differential Calculus | 16 | 13% |
| Integral Calculus & Differential Equations | 15 | 13% |
| Vector Algebra | 8 | 7% |
| Statistics & Probability | 10 | 8% |
| Total | 120 | 100% |
Syllabus Topics
- Algebra
- Matrices & Determinants
- Trigonometry
- Analytical Geometry (2D & 3D)
- Differential Calculus
- Integral Calculus & Differential Equations
- Vector Algebra
- Statistics & Probability