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Trignometry

Easy

Height & Distance

Easy

Sequence & Series

Moderate

Complex Number

Easy

Logarithms

Easy

Permutation & Combination

Moderate

Quadratic equation & cube root

Easy

Binomial Theorem

Moderate

Matrices & Determinants

Easy

Probability

Moderate

Binary

Easy

Set Relations & Functions

Easy

Limits Continuity and Differentiability

Moderate

Differentiation

Easy

Integration

Moderate

Differential equation

 Moderate

Vector

Moderate

Conic Section

Easy

Lines

Easy

3D

Moderate

Miscellaneous

Easy

English

Moderate

History

Moderate

Geography

Moderate

Polity

Moderate

Current Affairs

Moderate

Economics

Easy – Moderate

Static GK

Easy

Defence Specific

Easy – Moderate

Physics

Easy – Moderate

Chemistry

Moderate

Biology

Moderate

Sports

Moderate

Paper 1

Mathematics

300

Paper 2

GAT

600

Total

900

Army

208 (including  10   for female candidates)

Navy

42 (including  12   for female candidates)

Air Force

Flying

92 (including 02 for female candidates)

699

292

(With at least 20% marks in each subject)

656

Ground duties (Tech)

18 (including 02 for female candidates)

Ground duties (Non-Tech)

10 (including 02 for female candidates)

Naval Academy

25 (including  07   for female candidates)

Total

395

Army

301 (With at least 25% marks in each subject)

664

Navy

Air Force

Naval Academy

Total

Quantitative Aptitude for competitive examinations

RS Aggarwal

NDA Entrance Exam

ES Ramasamy

Mathematics for NDA/NA: National Defence Academy and Naval Academy

RS Aggarwal

Lieutenant

Sub Lieutenant

Flying Officer

On being Commissioned

Captain

Lieutenant

Flight Lieutenant

After 2 years of service

Major

Lt  Commander

Squadron Leader

After 6 years of service

Lieutenant Colonel

Commander

Wing Commander

13 years of service

Colonel(Selection)

Captain (Selection)

Group Captain (Selection)

On Selection

Colonel (Time Scale)

Captain (Time Scale)

Group Captain (Time Scale)

26 years of service

Brigadier

Commodore

Air Commodore

On Selection

Major General

Rear Admiral

Air Vice Marshal

On Selection

Lieutenant General

Vice Admiral

Air Marshal

On Selection

General

Admiral

Air Chief Marshal

On Selection

Quantitative Aptitude for competitive examinations

RS Aggarwal

NDA Entrance Exam

ES Ramasamy

Mathematics for NDA/NA: National Defence Academy and Naval Academy

RS Aggarwal

Maths

Mathematics for NDA & NA by RS Agarwal

English

Objective General English (Arihant Publication) by SP Bakshi

Wren & Martin’s High School English Grammar & Composition by S Chand

Word Power Made Easy (Goyal Publishers) by Norman Lewis

Physics

NCERT (11th and 12th)

Chemistry

NCERT (11th and 12th)

Biology

Objective GK (Lucent Publication) by Sanjiv Kumar

History & Geography

Objective GK (Lucent Publication) by Sanjiv Kumar

Current Events

Manorama Yearbook

Lt to Maj

Lt: Level 10 (56,100-1,77,500)

Capt: Level10 B (61,300-1,93,900)

Maj: Level 11 (69,400-2,07,200)

Lt Col to Maj Gen

Lt Col: Level 12A (1,21,200-2,12,400)

Col: Level 13 (1,30,600-2,15,900)

Brig: Level 13A (1,39,600-2,17,600)

Maj Gen - Level 14 (1,44,200-2,18,200)

Lt Gen to HAG Scale

Level 15 (1, 82, 200-2,24,100)

HAG+Scale

Level 16 (2,05,400-2,24,400)

VCOAS/ArmyCdr/Lt Gen (NFSG)

Level 17 (2,25,000) (fixed)

COAS

Level 18 (2,50,000) (fixed)

Stipend to Gentlemen Cadets during the entire duration of training in Service Academies i.e. during the training period at IMA.

56,100 per month (Starting pay in Level 10)

Knowledge of Important events that have happened in India in the recent years

Prominent personalities—both Indian and International including those connected with cultural activities and sports

Current important world events

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The Earth, its shape and size

Ocean Currents and Tides Atmosphere and its composition

Latitudes and Longitudes

Temperature and Atmospheric Pressure, Planetary Winds, Cyclones and Anticyclones; Humidity; Condensation and Precipitation

Concept of time

Types of Climate

International Date Line

Major Natural regions of the World

Movements of Earth and their effects

Regional Geography of India—Climate, Natural vegetation. Mineral and Power resources; location and distribution of agricultural and Industrial activities

Origin of Earth. Rocks and their classification

Important Sea ports and main sea, land and air routes of India

Weathering—Mechanical and Chemical, Earthquakes and Volcanoes

Main items of Imports and Exports of India

Forces shaping the modern world; Renaissance

A broad survey of Indian History, with emphasis on Culture and Civilisation

Exploration and Discovery; War of American Independence, French Revolution, Industrial Revolution and Russian Revolution

Freedom Movement in India

Impact of Science and Technology on Society

Elementary study of Indian Constitution and Administration

Concept of one World

Elementary knowledge of Five Year Plans of India

United Nations, Panchsheel, Democracy, Socialism and Communism

Panchayati Raj

Role of India in the present world

Co-operatives and Community Development

A broad survey of Indian History, with emphasis on Culture and Civilisation

Bhoodan, Sarvodaya, National Integration and Welfare State

Basic Teachings of Mahatma Gandhi

-

Common Epidemics, their causes and prevention

Difference between the living and non-living

Food-Source of Energy for man

Basis of Life—Cells, Protoplasms and Tissues

Constituents of food

Growth and Reproduction in Plants and Animals

Balanced Diet

Elementary knowledge of Human Body and its important organs

The Solar System-Meteors and Comets, Eclipses. Achievements of Eminent Scientists

Preparation and Properties of Hydrogen, Oxygen, Nitrogen and Carbon Dioxide, Oxidation and Reduction. Acids, bases and salts. Carbon— different forms

Physical and Chemical Changes

Fertilizers—Natural and Artificial

Elements

Material used in the preparation of substances like Soap, Glass, Ink, Paper, Cement, Paints, Safety Matches and Gunpowder

Mixtures and Compounds

Elementary ideas about the structure of Atom

Symbols, Formulae and simple Chemical Equation

Atomic Equivalent and Molecular Weights

Law of Chemical Combination (excluding problems)

Valency

Properties of Air and Water

Physical Properties and States of Matter

Modes of transference of Heat

Mass

Sound waves and their properties

Weight

Simple musical instruments

Volume

Rectilinear propagation of Light

Density and Specific Gravity

Reflection and refraction

Principle of Archimedes

Spherical mirrors and Lenses

Pressure Barometer

Human Eye

Motion of objects

Natural and Artificial Magnets

Velocity and Acceleration

Properties of a Magnet

Newton’s Laws of Motion

Earth as a Magnet

Force and Momentum

Static and Current Electricity

Parallelogram of Forces

Conductors and Non-conductors

Stability and Equilibrium of bodies

Ohm’s Law

Gravitation

Simple Electrical Circuits

Elementary ideas of work

Heating, Lighting and Magnetic effects of Current

Power and Energy

Measurement of Electrical Power

Effects of Heat

Primary and Secondary Cells

Measurement of Temperature and Heat

Use of X-Rays ,General Principles in the working of Simple Pendulum, Simple Pulleys, Siphon, Levers, Balloon, Pumps, Hydrometer, Pressure Cooker, Thermos Flask, Gramophone, Telegraphs, Telephone, Periscope, Telescope, Microscope, Mariner’s Compass; Lightning Conductors, Safety Fuses.

Algebra

Sets, Venn diagrams, De Morgan laws, Cartesian product, relation, equivalence relation. Real numbers, Complex numbers, Modulus, Cube roots, Conversion of a number in Binary system to Decimals and vice-versa. Arithmetic, Geometric and Harmonic progressions. Quadratic equations, Linear inequations, Permutation and Combination, Binomial theorem and Logarithms.

Calculus

Concept of a real valued function, domain, range and graph of a function. Composite functions, one to one, onto and inverse functions. Notion of limit, Standard limits, Continuity of functions, algebraic operations on continuous functions. Derivative of function at a point, geometrical and physical interpretation of a derivative-application. Derivatives of sum, product and quotient of functions, derivative of a function with respect to another function, derivative of a composite function. Second order derivatives. Increasing and decreasing functions. Application of derivatives in problems of maxima and minima

Matrices and Determinants

Types of matrices, operations on matrices. 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.

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. Evaluation of definite integrals—determination of areas of plane regions bounded by curves-applications.

Definition of order and degree of a differential equation, formation of a differential equation by examples. General and particular solution of differential equations, solution of first order and first-degree differential equations of various types—examples. Application in problems of growth and decay.

Trigonometry

Angles and their measures in degrees and in radians. Trigonometric ratios. Trigonometric identities Sum and difference formulae. Multiple and Sub-multiple angles. Inverse trigonometric functions. Applications-Height and distance, properties of triangles.

Vector Algebra

Vectors in two and three dimensions, magnitude, and direction of a vector. Unit and null vectors, the addition of vectors, scalar multiplication of a vector, scalar product, or dot product of two vectors. Vector product or cross product of two vectors. Applications—work done by a force and moment of a force and in geometrical problems.

Analytical Geometry Of Two and Three Dimension

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

Statistics and Probability

Probability: Random experiment, outcomes, and associated sample space, events, mutually exclusive and exhaustive events, impossible and certain events. Union and Intersection of events. Complementary, elementary, and composite events. Definition of probability—classical and statistical—examples. Elementary theorems on probability-simple problems. Conditional probability, Bayes’ theorem—simple problems. Random variable as function on a sample space. Binomial distribution, examples of random experiments giving rise to Binomial distribution.

Paper 1

Mathematics

300

2 ½

Paper 2

GAT

600

2 ½

Total

900

5 hours

Agartala

Ghaziabad

Panaji (Goa)

Agra

Gorakhpur

Patna

Ajmer

Gurgaon

Port Blair

Ahmedabad

Gwalior

Prayagraj (Allahabad)

Aizawl

Hyderabad

Puducherry

Aligarh

Imphal

Pune

Almora (Uttarakhand)

Indore

Raipur

Anantpur (Andhra Pradesh)

Itanagar

Rajkot

Aurangabad

Jabalpur

Ranchi

Bengaluru

Jaipur

Sambalpur

Bareilly

Jammu

Shillong

Bhopal

Jodhpur

Shimla

Bilaspur

Jorhat

Siligudi

Chandigarh

Kochi

Srinagar

Chennai

Kohima

Srinagar (Uttarakhand)

Coimbatore

Kolkata

Thane

Cuttack

Kozhikode (Calicut)

Thiruvananthapuram

Dehradun

Leh

Tiruchirapalli

Delhi

Lucknow

Tirupati

Dharwad

Ludhiana

Udaipur

Dispur

Madurai

Varanasi

Faridabad

Mumbai

Vellore

Gangtok

Mysore

Vijayawada

Gaya

Nagpur

Vishakhapatnam

Gautam Buddh Nagar

Navi Mumbai

Warangal

Candidate’s Name

Exam Date

Name of exam centre

Date of birth

Exam time

Address of exam centre

Roll number

Reporting time

City

Photograph and signature

-

Centre code (if any)