NDA Math 2024: New Math Syllabus, Solved Papers and Practice sets PDF

New NDA Syllabus: UPSC prescribes NDA syllabus along with Question Paper and Practice sets PDF. The NDA exam is conducted twice a year to select candidates for admission to the Army, Navy and Air Force wings of the National Defence Academy (NDA) and the Indian Naval Academy of Studies (INAC) The NDA course contains subjects and subject’s small candidates are required to study.

The NDA syllabus consists of two subjects, Mathematics and GAT. The NDA mathematics course contains questions on algebra, arithmetic, matrices and determinants, integral calculus and differential equations, trigonometry, vector algebra, two- and three-dimensional analytical geometry, and possible mathematics The NDA GAT syllabus includes English, physics, chemistry, social studies, general science Topics include , geography, and current events. For the NDA exam, candidates must have a thorough understanding of the NDA syllabus of Mathematics and GAT. The NDA syllabus in mathematics has questions based on Class 12 syllabus. The GAT paper carries maximum weightage in the UPSC NDA syllabus.

Aspirants can get the latest NDA syllabus for Mathematics, English and General Knowledge.
Candidates are selected through written test and SSB interview.

NDA Syllabus 2024

The NDA curriculum is divided into Mathematics and General Ability Test (GAT). 120 questions have been asked from the mathematics section and there are 150 questions in the GAT paper. The NDA GAT course aims to test candidates’ basic knowledge of history, GK, national and international events and current affairs, English, science and geography. The NDA mathematics curriculum examines a candidate’s ability to solve mathematical problems using logic, reasoning, etc. The NDA curriculum levels are 10th, 11th, and 12th grade standards. The GATT has the most weight in the NDA curriculum.

The total marks allotted for the GAT paper is 600. The marks paper has 300 marks. The UPSC SSB conducts interviews for the candidates who secure cut-off marks in the written test. With the help of NDA syllabus, the candidates can study the important topics of the exam and plan their study accordingly.

Syllabus for Current Events

For the Current Events class, students need to know the latest news in the world. These include sports, finance, politics and national and international events. Reading daily, listening to current affairs and news channels will help you stay up-to-date with the latest news in the world.

NDA Syllabus 2023 Mathematics

The NDA Maths paper basically consists of 10+2 level questions and tests the basic concepts of the candidates. So it is very important for the candidates to prepare each topic well.

Although the mathematics course is considered challenging for many candidates, a comprehensive review of the syllabus will help them understand the examination process.

Detailed list of topics included in the NDA Mathematics syllabus.

NDA Syllabus for Mathematics

Calculus

i.   Concept of a real valued function

ii.   Domain, range and graph of a function

iii.   Composite functions, one to one, onto and inverse functions

iv.   Notion of limit

v.   Standard limits

vi.   Continuity of functions, algebraic operations on continuous functions

vii.   Derivative of function at a point

viii.   Geometrical and physical interpretation of a derivative-application

ix.   Derivatives of sum, product and quotient of functions

x.   Derivative of a function with respect to another function

xi.   Derivative of a composite function

xii.   Second order derivatives, increasing and decreasing functions, application of derivatives in problems of maxima and minima

Algebra

i.   Sets

ii.   Venn diagrams

iii.   De Morgan laws
iv.   Conversion of a number in Binary system to Decimals and vice-versa.

v.   Arithmetic, Geometric and Harmonic progressions

vi.   Quadratic equations, Linear in equations

vii.   Permutation and Combination

viii.   Binomial theorem and Logarithms.
ix.   Cartesian product, relation, equivalence relation

x.   Real numbers, Complex numbers, Modulus, Cube roots

Matrices and Determinants

i.   Types of matrices, operations on matrices

ii.   Determinant of a matrix, basic properties of determinants

iii.    Adjoin and inverse of a square matrix

iv.   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

i.   Integration as inverse of differentiation, integration by substitution and by parts, standard integrals involving algebraic expressions, trigonometric, exponential and hyperbolic functions.

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

iii.   Definition of order and degree of a differential equation, formation of a differential equation by examples.

iv.   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

i.   Angles and their measures in degrees and in radians. Trigonometric ratios.

ii.   Trigonometric identities Sum and difference formulae.

iii.   Multiple and Sub-multiple angles.

iv.   Inverse trigonometric functions.

v.   Applications-Height and distance, properties of triangles.

Vector Algebra

i.   Vectors in two and three dimensions, magnitude and direction of a vector.

ii.   Unit and null vectors, addition of vectors, scalar multiplication of a vector, scalar product or dot product of two vectors.

iii.   Vector product or cross product of two vectors.

iv.   Applications — work done by a force and moment of a force and in geometrical problems.

v.   Analytical Geometry of Two and Three Dimension
vi.   Rectangular Cartesian Coordinate system.

vii.   Distance formula.

viii.   Equation of a line in various forms. Angle between two lines. Distance of a point from a line.

ix.   Equation of a circle in standard and in general form.

x.   Standard forms of parabola, ellipse and hyperbola. Eccentricity and axis of a conic.

xi.   Point in a three-dimensional space, distance between two points.

xii.   Direction Cosines and direction ratios. Equation of two points.

xiii.   Direction Cosines and direction ratios. Equation of a plane and a line in various forms.

xiv.   Angle between two lines and angle between two planes.

xv.   Equation of a sphere.

Statistics and Probability

i.   Probability: Random experiment, outcomes and associated sample space, events, mutually exclusive and exhaustive events, impossible and certain events.

ii.   Union and Intersection of events.

iii.   Complementary, elementary and composite events.

iv.   Definition of probability—classical and statistical — examples.

v.   Elementary theorems on probability — simple problems.

vi.   Conditional probability, Bayes’ theorem — simple problems.

vii.   Binomial distribution, examples of random experiments giving rise to Binomial distribution.

NDA SSB Interview

After Passing NDA Written Examination, aspirants are eligible to appear for the SSB Interview. This is the final selection test to get selected into the National Defense Academy and hence, it includes two stages.

First stage is a screening test which examines the verbal and non-verbal skills of the candidates. This stage also includes the Picture Perception and Discussion Test (PPDT).

Second stage includes the Psychological test & Group Testing Officers Test.

Psychological tests comprises of the following tests as given below:

i. Word Association Test (WAT)
ii. Thematic Apperception Test (TAT)
iii. Self-Description Test (SDT)
iv. Situation Reaction Test (SRT)
v. The total number of tests included in Stage 2 is 10. These are as follows:
vi. Command Task
vii. Group Obstacle Race/ Snake Race
viii. IOT
ix. GD
x. HGT
xi. PGT
xii. GPE
xiii. FGT
xiv. Individual Lecture

Meetings and personal interviews.

After passing both sides, the aspirants are selected for a series of personal interviews. On the basis of interview work he or she will be selected for a suitable post at Defense Academy.

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NDA Math 2024: New Math Syllabus, Solved Papers and Practice sets PDF