[shabnams]

I have scored 58% in 12th PCM in CBSE board, am I eligible for NDA Entrance Exam??

Yes , you are eligible to appear in National Defence Academy exam after scoring 58% marks in 12th CBSE board exam with PCM subjects.

Eligibility for NDA exam :
Nationality
A candidate should be:
i) An Indian citizen, or
ii) A subject of Nepal, or
iii) A subject of Bhutan,
iv) Tibetan refugees

Qualification :
12th Class of 10+2 System of Education/Equivalent for Army and with Physics and Maths for AF & Navy.

Age : 16 ½ - 19 year.

Only unmarried male candidates are eligible.

Physical Standards:
Applicants should be physically fit.

NDA Exam Pattern:



Syllabus :
1. ALGEBRA: Concept of set, operations on sets, Venn diagrams. De Morgan laws. Cartesian product, relation, equivalence relation. Representation of real numbers on a line. Maple numbers basic properties, modulus, argument, cube roots of unity. 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. Solution of linear in equations of two variables by graphs. Permutation and Combination. Binomial theorem and its applications. Logarithms and their Applications.

2. 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 Cramers rule and by Matrix Method.

3. TRIGONOMETRY: Angles and their measures in degrees and in radians. Trigonometrically ratios. Trigonometric identities Sum and difference formulae. Multiple and Sub-multiple angles. Inverse trigonometric functions. Applications Height and distance, 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 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, distance between 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.

5. DIFFERENTIAL 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 examples. Continuity of functions examples, algebraic operations on continuous functions. Derivative of function at a point, geometrical and physical interpretation of a derivative applications. 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.

6. 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 a differential equations, solution of first order and first degree differential equations of various types examples. Application in problems of growth and decay.

7. 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, 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.

8. STATISTICS AND PROBABILITY: Statistics: Classification of data, Frequency distribution, And 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. 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 Binominal distribution.

PAPER-II: GENERAL ABILITY TEST (Maximum Marks-600)

Part A ENGLISH (Maximum Marks 200)

The question paper in English will be designed to test the candidates understanding of English and workman like use of words. The syllabus covers various aspects like: Grammar and usage, vocabulary, comprehension and cohesion in extended text to test the candidates proficiency in English.

Part B GENERAL KNOWLEDGE (Maximum Marks-400)

The question paper on General Knowledge will broadly cover the subjects: Physics, Chemistry, General Science, Social Studies, Geography and Current Events. The syllabus given below is designed to indicate the scope of these subjects included in this paper. The topics mentioned are not to be regarded as exhaustive and questions on topics of similar nature not specifically mentioned in the syllabus may also be asked. Candidates answers are expected to show their knowledge and intelligent understanding of the subject.

Section A (Physics): Physical Properties and States of Matter, Mass, Weight, Volume, Density and Specific Gravity, Principle of Archimedes, Pressure Barometer. Motion of objects, Velocity and Acceleration, Newtons 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, Ohms 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 the following : Simple Pendulum, Simple Pulleys, Siphon, Levers, Balloon, Pumps, Hydrometer, Pressure Cooker, Thermos Flask, Gramophone, Telegraphs, Telephone, Periscope, Telescope, Microscope, Mariners Compass; Lightening Conductors, 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 different forms. Fertilizers Natural and Artificial 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. Basis of Life Cells, Protoplasms and Tissues. Growth and Reproduction in Plants and Animals. Elementary knowledge of 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.

Section D: (History, Freedom Movement etc.) A broad survey of Indian History, with emphasis on Culture and Civilizations. 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. Concept of one World, United Nations, Panchsheel, Democracy. Socialism and Communism. Role of India in the present world.

Section E (Geography): The 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 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 of India.

Section F (Current Events): Knowledge of Important events that have happened in India in the recent years. Current important world events. Prominent personalities both Indian and International including those connected with cultural activities and sports.

[Kesari]

Yes, you are eligible for NDA exam because its eligibility states that you just have passed the Intermediate exam

Eligibility for NDA Entrance Exams

-For the NDA army wing - You needs to have passed 12th class in any subject stream.
-For the NDA Air force wing and the Navy, each of the candidates needs to have passed 12th class in science subject with PCM subject under the state board or its equivalent.
-The age of the candidate must be in between 16 ½ to 19 years.
-Candidates must also meet the physical fitness standards as laid out by the NDA.

Reference books for 12th students for NDA

Some of the well known reference books available for the NDA exam are as follows.

Arihant NDA Entrance Exam Practice Sets by RPH
NDA manual by Sahitya Bhawan Publications
Practice Work Book by Dr. H. P. Sharma
Work book NDA Examination by Dr. M. B. Lal
NDA Exam Guide by Datason RP
NDA Examiantion Solved Papers up to date

Am I eligible to appear in National Defence Academy exam after scoring 58% marks in 12th CBSE board exam with PCM subjects ?