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Home / Syllabus / NDA Syllabus 2015 Entrance Exam Syllabus | UPSC NDA Exam Pattern

NDA Syllabus 2015 Entrance Exam Syllabus | UPSC NDA Exam Pattern

NDA Syllabus 2015

  • All those candidates looking for NDA Syllabus 2015 are on the right page. Here you will find all the important details regarding UPSC NDA Entrance Exam Pattern and Syllabus.
  • Union Public Service Commission conducts National Defence Academy Entrance Exam for enthusiastic and capable aspirants who want to serve in the Indian Army, Navy and Air Force.
  • Contestants who are preparing for the upcoming NDA Exam to be held in 2015 must check the UPSC NDA Exam Pattern and Syllabus which is mentioned in the below section by the team of

NDA Syllabus 2015:

Paper I (Mathematics):


Set Concepts; Venn Diagrams; Cartesian Product; Complex Numbers; Arithmetic, Geometric & Harmonic Progressions; Quadratic Equations; Permutation & Combination; Binomial Theorem; Logarithms & its Applications

Matrices and Determinants:

Type of Matrices; Determinant of a Matrix; Basic Properties of Determinants; Adjoint & Inverse of a Matrix


Trigonometrical Ratios & Identities; Inverse Trigonometric Functions; Applications – Height & Distances; Properties of Triangles

Analytical Geometry of two and three dimensions:

Cartesian Coordinate System; Distance Formula; Equations of a Line in Various Forms;  Standard Form of Parabola, Ellipse and Hyperbola; Point in Three Dimension Space; Distance Between Two Points; Direction Cosines & Direction Ratios

Differential Calculus:

 Concept of a real valued function – domain, range and graph of a function; Notion of limit; derivative of a composite function; Second order derivatives; Application of derivatives in problems of maxima and minima

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Integral Calculus and Differential equations:

Integration by substitution and by parts; Standard integrals involving algebraic expressions; Evaluation of definite integrals – determination of areas of plane regions bounded by curves – applications; General and particular solution of a differential equation; Solution of first order and first degree differential equations of various types – examples

Vector Algebra:

Vectors in two and three dimensions; Magnitude and direction of a vector; Unit and null vectors; Addition of vectors; Vector product and cross product of two vectors


Data Classification; Frequency distribution; Graphical representation – Histogram, Pie Chart, Frequency Polygon – examples; Measures of Central tendency – mean, median and mode; Variance & Standard Deviation


Outcomes and associated sample space, events, mutually exclusive and exhaustive events, impossible and certain events; Complementary, elementary and composite Events; Conditional probability, Bayes’ theorem – simple problems;

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Paper II (General Ability Test):

Part A (English):

This section contains following topics which is given below. Having good knowledge on the topics can help you in getting good marks.

  • Vocabulary
  • Grammar & Usage
  • Comprehension and cohesion in extended text

Online English Quiz

English Speaking Basics Tips

Part B (General Knowledge):

 The topics covered in this section will consist of the topics from the following subjects:


Motion of objects, Velocity and Acceleration, Newton’s Laws of Motion, Force and Momentum; Mass, Weight, Volume, Density and Specific Gravity; Effects of Heat; Sound waves and their properties; Reflection and Refraction of Light; Natural and Artificial Magnets; Static and Current Electricity


Physical and Chemical changes; Acids, bases and salts; Carbon – different forms; Fertilizers; Elementary ideas about the Structure of Atom

General Science:

 Difference between the living and non- living; Basis of Life; Growth and Reproduction in Plants and Animals; Elementary knowledge of human Body; Common Epidemics; Food; The Solar System

Written Examination – Experts Techniques

Social Studies:

Freedom Movement in India; Indian Constitution and Administration; Panchayati Raj, Co-operatives and Community Development; Bhoodan, Sarvodaya, National Integration and Welfare State; Forces shaping the modern world; French Revolution, Industrial Revolution and Russian Revolution; United Nations, Panchsheel, Democracy


Latitudes and Longitudes; Concept of time, International Date Line; Origin of Earth; Ocean Currents and Tides; Atmosphere and its composition; Types of Climate; Mineral and Power resources; Important Sea ports and main sea, land and air routes of India

Current Events:

Knowledge of Important events that have happened in India in the recent years; Prominent personalities both Indian and International including connected with cultural activities and sports.

Current Affairs

Pratiyogita Darpan

NDA Exam Pattern:

The examination pattern consists of written exam (objective type) followed by intelligence and personality test.

Paper Subjects Marks Duration (Minutes)
I Mathematics 300 150
II English 200 150
General Knowledge 400


900 300

 Note: For more detail or any query, please check the official website.

More Related Links

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UPSC Exam Calendar NDA Application Form

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