NDA Written Exam Eligibility:

Educational required For Army Wing of NDA-

• The cadet should have passed class XII of the 10+2 pattern of School Education or equivalent examination conducted by a State Education Board or a University.
• For the Army wing of National Defence Academy: 12th Class pass of the 10+2 pattern of School Education or equivalent examination conducted by a State Education Board or a University.
• For Air Force and Naval Wings of National Defence Academy: A candidate must have passed 10+2 educational level with physics and mathematics subjects. Candidates who are appearing in the 12th class under the 10+2 pattern of school education or equivalent can also apply.
• If you are a boy and are either appearing or have appeared in class 12th then you can give this exam.
• The cadet should have passed class XII of the 10+2 pattern of School Education or equally treated exam organized by a State Education Board or a University with physics and mathematics as main subjects.

Age-

The aspirant should be of age between 16.5 and a half to 19.5 years as on 1st January of the year the examination.

Physical Standards-

• Candidates must be physically fit according to physical standards for admission to National Defence Academy
• A candidate who has resigned or withdrawn on disciplinary grounds from any of the training academies of the Armed Forces is not eligible to apply

Marital Sex: Candidates must be unmarried

Gender: Both male & Female candidates are eligible to apply for NDA

NDA 2023 Written Exam Syllabus

Paper I: Mathematics

Algebra:

• The concept of a set
• operations on sets
• Venn diagrams. De Morgan laws
• Cartesian product relation
• equivalence relation
• Representation of real numbers on a line
• Complex numbers – basic properties
• modulus argument
• Cube roots of unity
• A binary system of numbers
• Conversion of a number in decimal system to binary system and vice-versa.
• Arithmetic
• Geometric and Harmonic Progressions
• Quadratic equations with real coefficients
• A solution of linear inequations of two variables by graphs
• Permutation and Combination
• Binomial theorem and its application
• Logarithms and their applications.

Matrices and Determinants:

• Types of matrices
• Operations on matrices
• A determinant of a matrix
• Basic properties of determinants
• Adjoint and inverse of a square matrix
• Applications – Solution of a system of linear equations in two or three unknowns by Cramer’s rule and by Matrix Method.

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.
• NDA Coaching Institute

Analytical Geometry of two and three dimensions:

• Rectangular Cartesian Coordinate system
• Distance formula
• An equation of a line in various forms
• The angle between two lines
• A distance of a point from a line
• An 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:

• The concept of a real-valued function – domain
• range and graph of a function
• Composite functions
• A derivative of a function at a point
• Derivatives of some
• 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 and Differential Equations:

• Integration as inverse of differentiation
• Integration by substitution and by parts
• Standard integrals involving algebraic expressions
• Trigonometric
• Exponential and hyperbolic functions
• General and particular solution of a differential equation

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

Analytical Geometry of two and three dimensions:

• Rectangular Cartesian Coordinate system
• Distance formula.
• An equation of a line in various forms
• The angle between the two lines.
• A distance of a point from a line
• An equation of a circle in standard and in general form
• Standard forms of parabola, ellipse, and hyperbola.
• Eccentricity and axis of a conic
• Point in a three-dimensional space, a distance between two points.
• Direction Cosines and direction ratios
• An equation of a plane and a line in various forms
• The angle between two lines and an angle between two planes
• The equation of a sphere

Statistics and Probability:

Statistics:

• Classification of data
• Frequency distribution
• Cumulative frequency distribution – examples
• Graphical representation – Histogram
• Pie Chart
• 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
• Complimentary
• elementary and composite events
• Conditional probability
• Bayes’ theorem – simple problems
• Random variable as function on a sample space
• Binomial distribution
• Examples of random experiments giving rise to Binominal distribution.

Paper II: English & General Ability

By comparison, English Syllabus for UPSC NDA 2023 is quite limited. The General Ability Portion will require a little extra time to cover.

Section A: English

The question paper in English is designed to test the candidate’s understanding of the English language and workmanlike use of words. The UPSC NDA Syllabus 2023 Pdf covers various broad topics, like

• Grammar and Application
• Vocabulary
• Comprehension and Cohesion

Section B: General Ability

The question paper on General Knowledge broadly covers the following subjects Physics, Chemistry, General Science, Social Studies, Geography, and Current Events. So, for your benefit, we have indicated below-

Section A: Physics

• Physical Properties and States of Matter
• Mass
• Weight
• Volume
• Density
• 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.
• Effects of Heat
• Measurement of temperature and heat
• change of State and Latent Heat
• Modes of transference of Heat
• Sound waves and their properties
• Simple musical instruments
• Rectilinear propagation of Light
• Reflection and refraction
• Spherical mirrors and Lenses
• Human Eye
• Natural and Artificial Magnets
• Properties of a Magnet
• Earth as a Magnet
• Static and Current Electricity
• conductors and Non-conductors
• Ohm’s Law Simple Electrical Circuits
• Heating
• Lighting and Magnetic effects of Current
• Measurement of Electrical Power
• Primary and Secondary Cells
• Use of X-Rays

Section B: Chemistry

• Physical and Chemical changes.
• Elements Mixtures and Compounds Symbols Formulae
• simple Chemical Equations Law of Chemical Combination ( excluding problems )
• Properties of Air and Water
• Preparation and Properties of Hydrogen Oxygen Nitrogen and Carbon dioxide Oxidation and Reduction
• Acids bases and salts
• Carbon – different forms
• Fertilizers – Natural and Artificial
• A material used in the preparation of substances like soap Glass Ink Paper Cement Paints Safety Matches and Gun-Powder
• Elementary ideas about the Structure of Atom Atomic Equivalent and Molecular Weights Valency

Section C: General Science

• Difference between the living and non-living
• The basis of Life – Cells Protoplasms and Tissues
• Growth and Reproduction in Plants and Animals
• Elementary knowledge of the Human Body and its important organs
• Common Epidemics their causes and prevention
• Food – Source of Energy for man. Constituents of food Balanced Diet
• The Solar System – Meteors and Comets Eclipses
• Achievements of Eminent Scientists
• General Science Quiz

Section D: History Freedom Movement

• A broad survey of Indian History with an emphasis on Culture and Civilisation.
• Freedom Movement in India.
• Elementary study of Indian Constitution and Administration.
• Elementary knowledge of Five Year Plans of India.
• Panchayati Raj Co-operatives and Community Development.
• Bhoodan Sarvodaya National Integration and Welfare State Basic Teachings of Mahatma Gandhi
• Forces shaping the modern world
• Renaissance Exploration and Discovery
• War of American Independence
• French Revolution Industrial Revolution and Russian Revolution
• Impact of Science and Technology on Society
• The concept of one World United Nations Panchsheel Democracy
• Socialism and Communism
• Role of India in the present world

Section E: Geography

• Earth its shape and size.
• Latitudes and Longitudes Concept of time.
• International Date Line.
• Movements of Earth and their effects.
• Origin of Earth.
• Rocks and their classification
• Weathering
• Mechanical and Chemical Earthquakes and volcanoes.
• Ocean Currents and Tides
• The atmosphere and its composition;
• Temperature and Atmospheric Pressure Planetary Winds cyclones and Anti-cyclones;
• Humidity
• Condensation and Precipitation
• Types of Climate.
• Major Natural regions of the World.
• Regional Geography of India
• Climate Natural vegetation.
• Mineral and Power resources
• Location and distribution of agricultural and industrial activities.
• Important Sea ports and main sea land and air routes of India.
• Main items of Imports and Exports in India.
• World Geography Questions and Answers

Section F: Current Events

• Knowledge of Important events that have happened in India in recent years.
• Current important world events.
• Prominent personalities – both Indian and International including those connected with cultural activities and sports.

NDA Exam Structure:

 The General Ability consists of:

The National Defence Academy selection process comprises of 2 stages, namely the written exam and the SSB interview.

Written Exam:

The written exam consists of:

• The written exam comprises of objective-type questions
• The duration of the exam is 180 minutes
• Qualifying candidates move on to the next round – SSB interview

SSB Interview:

The interview assessment consists of:

• Psychological aptitude and intelligence test
• Officer Intelligence Rating (OIR) tests and Picture Perception Description Test (PP&DT)
• Group Tasks
• Final Interview assessment

Candidates can apply for the NDA exam on the official website address: https://upsconline.nic.in/

In case you need help with the application, the counsellors at Chandigarh Academy will be more than happy to guide you.

The NDA exam is conducted twice a year. The NDA exams are scheduled to be conducted on 16 April 2023 and September 2023. Now girls, too, can appear for the exam.