# UPSC NDA and ND Syllabus (Exam Pattern) – (Subjects of NDA/ND Examination)

If you are preparing for the UPSC NDA and ND (National Defence Academy & Naval Academy) Examination, it is very important to first understand the syllabus of UPSC NDA and ND first, because with the help of UPSC NDA and ND Syllabus, you know that in the upcoming UPSC NDA and ND exam, how the syllabus Pattern will be prepared.

## UPSC NDA and ND Syllabus (Exam Pattern) – (Subjects of UPSC NDA/ND Exam)

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We are providing here Syllabus (Exam Pattern) of the UPSC NDA and ND eg. Railway Recruitment Board-JE, DMS and CMA Examination is a national level exam conducted by UPSC NDA and ND.

### UPSC NDA/ND 1st Written Exam All Subject Wise Details

1st – Written Exam (Mathematics)

Algebra:: In this section UPSC NDA and ND exam asked imporant topic like Concept of set, operations on sets, Venn diagrams. De Morgan laws. Cartesian product, relation, equivalence relation. Representation of real numbers on a line.Quadratic equations with real coefficients etc.

Matrices and Determinants: In this section UPSC NDA and ND exam asked imporant topic like Types of matrices, operations on matrices. Determinant of a matrix, basic properties of determinants etc.

Trigonometry:: In this section UPSC NDA and ND exam asked imporant topic like Angles and their measures in degrees and in radians. Trigonometrical ratios. Trigonometric identities Sum and difference formula etc.

Analytical Geometry of Two and Three Dimensions:: In this section UPSC NDA and ND exam asked imporant topic like Rectangular Cartesian Coordinate system. Distance formula. Equation of a line in various forms. Angle between two lines. Distance of a point from a line etc.

Differential Calculus:: In this section UPSC NDA and ND exam asked imporant topic like 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 etc.

Integral Calculus and Differential Equations:: In this section UPSC NDA and ND exam asked imporant topic like Integration as inverse of differentiation, integration by substitution and by parts, standard integrals involving algebraic expressions, trigonometric, exponential and hyperbolic functions etc.

Vector Algebra:: In this section UPSC NDA and ND exam asked imporant topic like Vectors in two and three dimensions, magnitude and direction of a vector etc.

Statistics and Probability:: In this section UPSC NDA and ND exam asked imporant topic like Probability: Random experiment, outcomes and associated sample space, events, mutually exclusive and exhaustive events, impossible and certain events etc.

### UPSC NDA/ND 2nd Stage General Ability Test Complete Details

2nd Stage – General Ability Test (600 Marks)

ENGLISH, GENERAL KNOWLEDGE (GK), Section ‘A’ of GK (Physics), Section ‘B’ (Chemistry), Section ‘C’ (General Science), Section ‘D’ (History, Freedom Movement etc.), Section ‘E’ (Geography, Section ‘F’ (Current Events)