UPSC-NDA Exam Pattern And Syllabus 2017

UPSC-NDA Exam Pattern And Syllabus 2017: – Union Public Service Commission organized a recruitment for National Defence Academy(NDA) and Naval Academy(NA). This is always better opportunity for candidates who want to take admission in Army, Navy and Air Force to make their career better. Hence we are providing complete distribution of topics and questions asked in the examination.

UPSC-NDA Exam Pattern And Syllabus 2017 | Exam Pattern And Syllabus.

Full details of the subject, number of question and time duration.

The Syllabus of NDA exam.

Let’s see first look at the exam pattern for NDA.

Paper

Subject Questions Marks

Duration

1.

Mathematics 120 300

2.30 Hours

2.

General Ability 150 600

2.30 Hours

                        Total

270

900

5 Hours

Mathematics Subject-Wise Questions And Marks Distribution

Mathematics Subjects

Marks

Questions

Algebra + Vector Algebra

75

30

Trigonometry

50

20

Determinants And Matrices

25

10

Analytical Geometry

50

20

Vector Algebra

25

10

Statistics And Probability

25

10

Differential Calculus And Integral Calculus

50

20

Total

300

120

General Ability Subject-Wise Marks Distribution

S. No.

Subjects

Marks

Part 1

General English

200

Part 2

General Knowledge

400

Physics

100

Chemistry

60

General Science

40

History, Freedom Movement

80

Geography

80

Current Events

40

NDA /NA Exam Syllabus For Mathematics

Subject

Topics

Algebra

Concept of a set,

Operations on set

Demorgan’s  Law, Venn Diagrams

Cartesian Product Relation

Equivalence relation

Representation of real numbers online

Complex numbers and their basic properties

Modulus Arguments

Cubes Root of unity

Binary system of numbers

Conversion of a number in decimal system to binary system and vice-versa

Solution of linear equations of two variables by graphs

Permutation and combination

Binomial Theorem and its applications

Logarithms and their applications

Trigonometry

1.        Angles and their measures in degrees and radians,
2.        Trigonometric Ratios,
3.        Trigonometric Identities Sum and Difference Formulae,
4.        Multiples and Sub-Multiple Angles,
5.        Inverse Trigonometric Functions,
6.        Applications Height and Distance,
7.        Properties of Triangles.

Matrices And Determinants

1.        Types of matrices,
2.        Operations on matrices,
3.        Determinant of a matrix,
4.        Basic properties of determinants,
5.        Adjoint and inverse of a square matrix,
6.        Applications-Solutions of linear equations in two or three unknowns,
7.        By Cramer’s rule and by matrix method.

Analytical Geometry

1.        Rectangular Cartesian Co-ordinate System,
2.        Distance Formula,
3.        Equation of a line in various forms,
4.        Angle between two lines,
5.        Distance of a point from a line,
6.        Equation of a circle in standard and in general form,
7.        Standard form of parabola,
8.        Eccentricity and axis of a conic.

Differential Calculus

1.        Concept of a real valued function-domain,
2.        Range and graph of a function,
3.        Composite Functions,
4.        Derivative of a function at a point,
5.        Derivative of sum,
6.        Product and quotient of functions,
7.        Derivative of a function with respect to another,
8.        Derivative of a composite function,
9.        Second order derivatives,
10.       Increasing and decreasing functions,
11.       Applications of derivatives in problems of maxima and minima.

Calculus and Differential Calculus

1.        Integration as inverse of differentiation,
2.        Integration by substitution and by parts,
3.        Standard Integrals involving algebraic expressions,
4.        Trigonometric,
5.        Exponential and Hyperbolic functions,
6.        General and Particular solution of differential equation.

Vector Algebra

1.        Vectors in two or three dimensions,
2.        Magnitude and direction of a vector,
3.        Unit and null vectors additions of vectors,
4.        Scalar multiplication of vector.

Statistics And Probability

1.        Statistics: Classification of data,
2.        Frequency distribution,
3.        Cumulative Frequency distribution-examples,
4.        Graphical representation –Histogram,
5.        Pie Chart,
6.        Frequency Polygon –examples,
7.        Measures of central tendency –Mean Median and Mode,
8.        Variance and standard deviation –determination and comparison,
9.        Correlation and regression,
10.       Random Experiment,
11.       Outcomes and associated sample space,
12.       Events,
13.       Mutually exclusive and Exhaustive events,
14.       Impossible and certain events,
15.       Union and Intersection of events,
16.       Complementary,
17.       Elementary and composite events,
18.       Conditional Probability,
19.       Baye’s theorem and –simple theorem,
20.       Binomial distribution,
21.       Examples of random experiments giving rise to Binomial Distribution,
22.       Random variable as function on a sample space.

General Ability Syllabus

English

1.        vocabulary,
2.        grammar and usage,
3.        comprehension.

General Knowledge

1.        Physics,
2.        Chemistry,
3.        General Science.
4.        Social Studies,
5.        Geography and general studies.

Physics

1.        Motion of objects,
2.        Velocity and acceleration,
3.        Newton’s law of motion,
4.        Force and Momentum,
5.        Parallelogram of forces,
6.        Stability and equilibrium of bodies,
7.        Gravitation,
8.        Elementary ideas of work,
9.        Power and energy,
10.       Sound waves and their properties,
11.       Simple musical instruments,
12.       Natural and artificial magnets,
13.       Simple pendulum,
14.       Simple pulleys,
15.       Siphon,
16.       Levers,
17.       Balloon,
18.       Pumps,
19.       Hydrometer,
20.       Pressure cooker,
21.       Thermos Flask,
22.       Gramophone,
23.       Telegraphs,
24.       Telephone,
25.       Periscope,
26.       Telescope,
27.       Microscope,
28.       Mariner’s compass,
29.       Lightening conductors,
30.       Safety fuses,
31.       Physical properties and states of matter,
32.       Mass,
33.       Volume,
34.       Density and Specific gravity,
35.       Principles of Archimedes,
36.       Pressure Barometer,
37.       Effects of Heat,
38.       Measurement of heat and temperature,
39.       Change of state and latent heat,
40.       Modes of transference of Heat,
41.       Rectilinear Propagation of light,
42.       Reflection and refraction,
43.       Spherical mirrors and lenses,
44.       Human eye,
45.       Static and current electricity,
46.       Conductors and non-conductors,
47.       Ohm’s Law,
48.       Simple electrical circuits,
49.       Heating,
50.       Lighting and magnetic effect of current,
51.       Measurement of electrical power,
52.       secondary cells,
53.       Uses of X-Rays.

Chemistry

1.        Preparation and properties of Hydrogen, Oxygen, Nitrogen and Carbon-Di-oxide,
2.        Oxidation and Reduction,
3.        Carbon-different forms,
4.        Material used in preparation of substances like soap,
5.        Glass,
6.        Ink,
7.        Paper,
8.        Cement,
9.        Paints,
10.       Safety Matches and Gun-powder,
11.       Physical and Chemical changes,
12.       Elements,
13.       Mixtures and compounds,
14.       Symbols,
15.       Formulas and simple chemical equations,
16.       Law of chemical combinations,
17.       properties of air and water,
18.       Acids,
19.       bases and salts,
20.       Fertilizers-Natural and Artificial,
21.       elementary ideas about structure of atom,
22.       Atomic,
23.       Equivalent and molecular Weights,
24.       Valency.

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