**National Defence Academy Examination (II) – NDA & NA Exam II 2015 Syllabus** – UPSC NDA & NA Exam Syllabus Paper II

**Paper – I**

**Mathematics ( Code No. 01 ) ( Maximum Marks – 300 )**

**1. Algebra :**

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. 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 inequations of two variables by graphs.

Permutation and Combination. Binomial theorem and its National Defence Academy 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 Cramer’s rule and by Matrix Method.

**3. 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.

**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 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, 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 for National Defence Academy & Naval Academy Exam II 2015**

**Paper – II General Ability Test ( Code No. 02 ) ( Maximum Marks – 600 )**

**Part ‘A’ – English ( Maximum Marks 200 )**

The question paper in English will be designed to test the candidate’s 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 candidate’s 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 National Defence Academy II 2015 syllabus given below is designed to indicate the scope of these subjects included in NDA II General Knowledge paper. The topics mentioned are not to be regarded as exhaustive and questions on topics of similar nature not specifically mentioned in the NDA II 2015 syllabus may also be asked. Candidate’s 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, 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.

**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, Mariner’s Compass; Lightening Conductors, Safety Fuses.

whats the syllabus for code 02 students?????

is chemistry excluded from the exam

Hi

Pls check from this page : http://www.upscexam.com/upsc_examinations/national_defence_academy_nda/nda-na-examination-ii-syllabus1.html

Regards.

TIPS FOR NDA EXAMS

sir,

i am intresting for nda exam to before army job…….

please help me

Hi

Please refer the NDA Exam eligibility : http://upscexam.com/upsc_examinations/national_defence_academy_nda/NDA-NA-Examination-II-Eligibility.html

If the eligibility conditions are ok, then you can apply. For applying NDA Exam you can visit : http://www.upsconline.nic.in/

when will be the next nda exam

Hi

Please watch the UPSC Time Table for regular updates : http://www.upscexam.com/notification/upsc/union-public-service-commission-upsc-examination-time-table.html

hi

pleas tell me that at present i am studying in class 12th so i am eligible or not fr this NDA 2nd exam

Hi

Please visit for eligibility details of NDA Exam : http://www.upscexam.com/upsc_examinations/national_defence_academy_nda/NDA-NA-Examination-II-Eligibility.html

When will come result of nda 1

Hi

Please visit : http://upscexam.com/upsc_examinations/national_defence_academy_nda/NDA-I-Results.html

how to apply for national defence academy entrance exam 2012 ?

Hi

Please visit the official website : http://www.upsconline.nic.in/ or http://www.upsconline.nic.in/mainmenu2.php

hi,

I failed to understand whether i am eligible for the above mentioned job because i m doing my final year engineering in computer science branch can anyone answer fr this question.. can anyone irrespective of branches can apply for this exam?????

I have heard that candidates who have secured above 75% marks in their Board examination are directly eligible for S.S.B . s it right.

when will we get our examination card for nda II 2012?

Hi

Please download the E Admit Card for NDA Exam 2012 : http://upscadmitcard.nic.in/main.aspx

Could any one tell me the examination centre of the exam in delhi???

is the exam based on only three subjects??

sir i am 12th pass from commerce stream …..and want to join NDA ….. what is difference between NDA I and II …….which should i give and what subjects should i prepare for exam ? please help me out

thanks in advance or else you can email me if you have time

my email id is ratnesh.pareek2011@gmail.com

Hi

There is nothing difference between NDA I & II. The NDA Exam conducts twice in a year. You can apply NDA Exam as you are a commerce student. The subjects are :

Paper I : Mathematics

Paper II : General Ability Test, Part A – English, Part B – General Knowledge.