For any student with the dream to serve the Armed Forces of India, the NDA is the foremost thought. The National Defence Academy (NDA) is the Joint Services academy of the Indian Armed Forces. Thus the cadets of the three services, the Army, the Navy and the Air Force train together here before they go on to pre-commissioning training in their respective service academies. Hence Exammag brings you the all you need to know about NDA exam including NDA 2017 Exam Pattern and its syllabus.

The N.D.A. (National Defense Academy) exam is held twice in a year. It is conducted by U.P.S.C. (Union Public School Commission).

**NDA 2017 Exam Pattern: Marking Scheme**

The admission to NDA is conducted in 2 phases- Written Exam and SSB Interview.

**Written Exam**

First of all lets look at the Written Exam. As of now there will be no changes in the NDA 2017 Exam Pattern.

- As usual there will be 2 papers in N.D.A (National Defense academy) written exam. One is Mathematics and the other is General Ability. The questions will be in objective form.
- The time duration of each paper is 2½ hours.
- Furthermore, there is negative marking of 1/3rd of the marks allotted for a question. So you loose 0.33 for a wrong answer for a question of 1 mark.

Subject |
No. of Questions |
Marks |

Mathematics | 120 | 300 |

General Ability Test | 150 | 600 |

Total |
270 |
900 |

** **

**SSB Interview**

Now, once you clear the cut-offs set by UPSC for the written exam, you would be invited for the next phase i.e. the SSB Interview. The SSB procedure consists of a two-stage Selection process-stage I and stage II. Only those candidates who clear the stage I are permitted to appear for stage II. The details are :-

(a) Firstly Stage I comprises of Officer Intelligence Rating (OIR) tests are Picture Perception & Description Test (PP&DT). The candidates will be shortlisted based on combination of performance in QIR Test and PP and DT.

(b) Secondly comes Stage II which comprises of Interview, Group Testing Officer Tasks, Psychology Tests and the Conference. These tests are conducted over 4 days. In addition to this you can find more details of these tests at www.joinindianarmy.nic.in.

The personality of a candidate is assessed by three different assessors namey- the Interviewing Officer (IO), Group Testing Officer (GTO) and the Psychologist. There is no separate weightage for each test. The marks are allotted by assessors only after taking into consideration the performance of the candidate holistically in all the tests. In addition, marks for Conference are also allotted based on the initial performance of the Candidate in the three techniques and decision of the Board. All these have equal weightage. The various tests of IO, GTO and Psych are designed to bring out the presence/absence of Officer Like Qualities and their trainability in a candidate. Accordingly candidates are Recommended or Not Recommended at the SSB.

**NDA 2017 Exam Pattern: Syllabus**

**Syllabus for Mathematics for NDA 2017 Exam Pattern:**

###### ALGEBRA

- Firstly with concept of set, operations on sets, Venn diagrams.
- De Morgan laws.
- In addition to these there Cartesian products, relation, equivalence relation.
- Representation of real numbers on line.
- Complex Numbers- basic properties, modulus, argument, cube root of unity.
- Binary system of numbers.
- FurthermoreConversion of number into decimal system to binary system and vice versa.
- Arithmetic, Geometric and Harmonic Progression.
- Quadratic equations with real coefficients.
- Solution of linear inequations of two variables by graphs.
- Permutation and Combination.
- Binomial Theorem and its application.
- Finally logarithms and their applications.

###### MATRICES AND DETERMINANTS

- Firstly types of matrices, operations on matrices.
- Determinant of a matrix, basic properties of determinants.
- Adjoint and Inverse of a square matrix.
- Finally application- solution of a system of linear equations in two or three unknowns by Cramer’s rule and by Matrix method.

###### TRIGONOMETRY

- Firstly angles and their measures in degrees and in radians.
- Trigonometrical ratios.
- Furthermore trigonometric identities Sum and difference formulae.
- Multiple and sub-multiple angles.
- In addition to these, inverse trigonometric functions.
- Finally applications- height and distance, properties of triangles.

###### ANALYTICAL GEOMETRY OF TWO AND THREE DIMENSIONS

- Firstly rectangular Cartesian coordinate system.
- Distance formula.
- Equation of a line in various forms.
- Furthermore angle between two lines.
- Distance of a point from a line.
- Equation of a circle in standard and in general form.
- In addition to these, standard form of parabola, hyperbola and ellipse.
- Eccentricity and axis of a conic.
- Point in a three dimensional space, distance between two points.
- Direction Cosines and Direction ratios.
- Thereafter equation of a plane and line in various forms.
- Angle between two line and angle between two planes.
- Lastly equation of a sphere.

###### DIFFERENTIAL CALCULUS

- Firstly concept of a real valued function- domain, range and graph of a function.
- Composite function- one to one, onto and inverse functions.
- Notion of limits, standard limits- examples.
- Furthermore, continuity of function- examples, algebraic operations on continuous functions.
- Derivative of a function at a point, geometric and physical interpretation of a derivative- applications.
- In addition, derivatives of sum, product and quotient of a functions, derivative of a function with respect to another function, derivative of a composite function.
- Second order derivatives.
- Furthermore increasing and decreasing functions.
- Lastly application of derivatives in problems of maxima and minima.

###### INTEGRAL CALCULUS AND DIFFERENTIAL EQUATIONS

- Firstly 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.
- Furthermore definition of order and degree of a differential equation, formation of a differential equation by examples.
- General and particular solution of a differential equation, solution of first order and first degree differential equation of various types- examples.
- Finally application in problem of growth and decay.

###### VECTOR ALGEBRA

- Firstly, vectors in