NDA 2027 Syllabus and Exam Pattern: Complete Guide

The NDA 2027 Syllabus has two written papers. Paper 1 is Mathematics (300 marks, 120 questions) and Paper 2 is the General Ability Test (600 marks, 150 questions), which includes English (200 marks) and General Knowledge (400 marks). Each paper is 2.5 hours long, with negative marking of one-third of the marks for each wrong answer. Qualified candidates then face the SSB interview (900 marks), making the total 1,800 marks.

NDA Exam Pattern 2027: Overview

Key points about the NDA exam pattern:

• Both papers are objective-type (multiple choice) and use an OMR answer sheet.

• The exam is offline (pen and paper).

• Question papers for Maths and GK are set in both Hindi and English. The English section is only in English.

• Calculators are not allowed.

• Based on the NDA 2026 pattern, Maths is held from 10:00 AM to 12:30 PM and GAT from 2:00 PM to 4:30 PM.

NDA Marking Scheme

• One-third of the marks for a question is deducted for each wrong answer.

• No marks are deducted for questions you leave blank.

• Marking more than one option is treated as a wrong answer.

The NDA marking scheme rewards accuracy, so it's better to skip a question you are unsure about than to guess blindly.

NDA Maths Syllabus (Paper 1: 300 Marks)

The NDA Maths syllabus is based mainly on Class 11 and 12 Mathematics. Here are the Maths topics in the NDA 2027 Syllabus, as per the official notification.

1. Algebra

• Sets, Venn diagrams, De Morgan's laws, relations and functions

• Complex numbers: basic properties, modulus, argument, cube roots of unity

• Binary number system; conversion between decimal and binary

• Arithmetic, geometric and harmonic progressions

• Quadratic equations with real coefficients

• Linear inequations in two variables and their graphical solution

• Permutations and combinations

• Binomial theorem and its applications

• Logarithms and their applications

2. Matrices and Determinants

• Types of matrices and operations on matrices

• Determinant of a matrix and its basic properties

• Adjoint and inverse of a square matrix

• Solving a system of linear equations using Cramer's rule and the matrix method

3. Trigonometry

• Angles and their measures in degrees and radians

• Trigonometric ratios and identities

• Sum and difference formulae; multiple and sub-multiple angles

• Inverse trigonometric functions

• Applications: heights and distances, properties of triangles

4. 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; parabola, ellipse and hyperbola in standard forms

• Eccentricity and axis of a conic

• Point in three-dimensional space; distance between two points

• Direction cosines and direction ratios

• Equations of a plane and a line; angle between lines and planes

• Equation of a sphere

5. Differential Calculus

• Concept of a real-valued function; domain, range and graph

• Composite, one-to-one, onto and inverse functions

• Limits and continuity

• Derivative of a function and its geometric and physical meaning

• Derivatives of sum, product and quotient; derivative of a function with respect to another; derivative of a composite function

• Second-order derivatives

• Increasing and decreasing functions

• Maxima and minima

6. Integral Calculus and Differential Equations

• Integration as the inverse of differentiation

• Integration by substitution and by parts

• Standard integrals involving algebraic, trigonometric, exponential and hyperbolic functions

• Definite integrals and area under curves

• Definition, order and degree of a differential equation

• Formation of differential equations by examples

• General and particular solutions

• First-order, first-degree differential equations of various types

• Application to problems of growth and decay

7. Vector Algebra

• Vectors in two and three dimensions; magnitude and direction

• Unit and null vectors; addition of vectors; scalar multiplication

• Scalar (dot) product and vector (cross) product

• Applications: work done by a force, moment of a force, and geometric problems

8. Statistics and Probability

• Statistics: Classification of data, frequency distribution, cumulative frequency; graphical representation (histogram, pie chart, frequency polygon); measures of central tendency (mean, median, mode); variance and standard deviation; correlation and regression

• Probability: Random experiments, outcomes and sample space; events (mutually exclusive, exhaustive, impossible, certain); union and intersection of events; complementary, elementary and composite events; classical and statistical definitions of probability; elementary theorems; conditional probability; Bayes' theorem; random variables; binomial distribution

NDA GAT Syllabus (Paper 2: 600 Marks)

Under the NDA 2027 Syllabus, the NDA GAT syllabus has two parts: English (200 marks) and General Knowledge (400 marks).

Part A: NDA English Syllabus (200 Marks)

The NDA English syllabus tests your understanding of English and your use of words. It covers:

• Grammar and usage: Error spotting, sentence improvement, fill in the blanks

• Vocabulary: Synonyms, antonyms, idioms and phrases, one-word substitution

• Comprehension: Short reading passages with questions

• Cohesion in extended text: Sentence arrangement and ordering of words and parts of sentences

Part B: NDA GK Syllabus (400 Marks)

The NDA GK syllabus is divided into six sections. As per the official notification, the approximate weightage of each section is:

This table is one of the most useful parts of the NDA 2027 Syllabus, as it shows that Physics, History and Geography together make up about 65% of the GK part.

Section A: Physics

• Physical properties and states of matter; mass, weight, volume, density and specific gravity; Archimedes' principle; pressure and 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 heat transfer

• Sound waves and their properties; simple musical instruments

• Rectilinear propagation of light; reflection and refraction; spherical mirrors and lenses; the human eye

• Natural and artificial magnets; properties of a magnet; the 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

• General principles in the working of simple devices such as the lever, pulley, siphon, hydraulic press, pressure cooker, thermos flask, gramophone, telegraph, telephone, periscope, telescope, microscope, mariner's compass, lightning conductors and safety fuses

Section B: Chemistry

• Physical and chemical changes

• Elements, mixtures and compounds; symbols, formulae and 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 in its different forms

• Fertilisers, both natural and artificial

• Material used in the preparation of substances like soap, glass, ink, paper, cement, paints, safety matches and gunpowder

• Elementary ideas about the structure of the atom; atomic, equivalent and molecular weights; valency

Section C: General Science

• Difference between living and non-living things

• Basis of life: cells, protoplasm 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 as a source of energy for humans; constituents of food; balanced diet

• The solar system, meteors and comets; eclipses

• Achievements of eminent scientists

Section D: History, Freedom Movement, etc.

• A broad survey of Indian history, with emphasis on culture and civilisation

• The Freedom Movement in India

• Elementary study of the Indian Constitution and administration

• Elementary knowledge of the Five Year Plans of India

• Panchayati Raj, cooperatives and community development

• Bhoodan, Sarvodaya, national integration and the Welfare State; basic teachings of Mahatma Gandhi

• Forces shaping the modern world: the Renaissance, exploration and discovery, the American War of Independence, the French Revolution, the Industrial Revolution and the Russian Revolution

• Impact of science and technology on society

• The concept of one world; the United Nations; Panchsheel; democracy, socialism and communism

• India's role in the present world

Section E: Geography

• The Earth, its shape and size; latitudes and longitudes; the concept of time; the International Date Line

• Movements of the Earth and their effects

• Origin of the 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 seaports and main sea, land and air routes of India

• Main items of India's imports and exports

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

Selection Process After the Written Exam

The NDA exam pattern doesn't end with the written papers:

1. Written exam (900 marks): Mathematics and GAT

2. SSB interview (900 marks): A five-day, two-stage process of intelligence and personality tests

3. Medical examination: For candidates recommended by the SSB

4. Final merit list: Based on written and SSB marks, subject to medical fitness and vacancies

Candidates must clear the minimum qualifying marks in each written paper and in the SSB separately. So, covering the full NDA 2027 Syllabus well is the first step towards the academy.

How to Prepare the NDA 2027 Syllabus

Here are practical tips to cover the NDA 2027 Syllabus well:

1. Start with NCERT books. Class 11 and 12 NCERT books are the best base for the Maths part of the NDA 2027 Syllabus, and Class 6–10 books cover much of the GK.

2. Follow the GK weightage. Give more time to Physics, History and Geography, which carry the largest share.

3. Practise Maths daily. Focus on accuracy and speed; aim to solve a set of questions every day.

4. Build English steadily. Read a newspaper daily and learn a few new words each day.

5. Follow current affairs regularly. Cover the last 6 to 12 months before the exam, as current events make up 10% of the NDA GK syllabus.

6. Solve previous year papers. They show the exact type and level of questions asked.

7. Take timed mock tests. Practise both papers in the real 2.5-hour timings of the NDA exam pattern.

8. Mind the negative marking. Learn when to skip a question rather than guess.

NDA Exam Pattern: Common Mistakes to Avoid

• Studying the NDA Maths syllabus in too much depth while neglecting the GAT, which carries twice the marks

• Ignoring the official GK weightage

• Skipping the NDA English syllabus, which is a strong scoring area

• Guessing too many answers and losing marks to negative marking

• Not practising OMR filling in timed conditions

FAQs

What is the NDA 2027 Syllabus?
It covers two written papers: Mathematics (300 marks) and the General Ability Test (600 marks), which includes English and General Knowledge.

How many questions are there in the NDA exam?
As per the NDA exam pattern, there are 120 questions in Mathematics and 150 in the GAT, making 270 questions in total.

What is the NDA marking scheme?
Maths gives 2.5 marks per correct answer with 0.83 deducted for a wrong one. GAT gives 4 marks per correct answer with 1.33 deducted for a wrong one.

What topics are in the NDA Maths syllabus?
Algebra, matrices and determinants, trigonometry, 2D and 3D analytical geometry, differential calculus, integral calculus and differential equations, vector algebra, and statistics and probability.

What is the weightage of GK sections in NDA?
As per the official notification, the GK part of the NDA 2027 Syllabus has Physics 25%, Chemistry 15%, General Science 10%, History and Freedom Movement 20%, Geography 20% and Current Events 10%.

Are calculators allowed in the NDA exam?
No. Calculators are not allowed in the exam hall.

Is the NDA exam available in Hindi?
Yes. The Maths and GK questions are in both Hindi and English. The English section is only in English.