# Combined Defense Services

UPSC has announced latest notification for Combined Defense Services 2021. The interested candidates can read the vacancy details, eligibility criteria and how to apply.

## Vacancies and Qualification

- UPSC has announced a total of 345 vacancies which are to be filled till 17th Oct, 2020.
- Qualification for IMA and OTA(Officers Training Academy) is to have degree of a recognized university or its equivalent.
- Degree in Engineering for Indian Naval Academy.
- Degree from recognized university with physics and maths in 10+2 for Air Force Academy.

## Age Limit and Fee

- Minimum age limit for the various posts is 20 years and maximum is 24 years.
- All the candidates applying should not be born earlier than 2-01-1998 and not later than 1-01-2002.
- Age relaxation for SC/ST candidates is 5 years, for OBC age limit is 3 years.
- Application fee for form submission is Rs 200-/- for general category and No Fee for female/ST/SC.

## Syllabus

**ENGLISH **

The question paper will be designed to test the candidates’ understanding of English and workmanlike use of words.

**GENERAL KNOWLEDGE **

General Knowledge including knowledge of current events and of such matters of everyday observation and experience in their scientific aspects as may be expected of an educated person who has not made a special study of any scientific subject. The paper will also include questions on History of India and Geography of a nature which candidate should be able to answer without special study.

### ELEMENTARY MATHEMATICS

**ARITHMETIC**

Number System—Natural numbers, Integers, Rational and Real numbers. Fundamental operations, addition, substraction, multiplication, division, Square roots, Decimal fractions. Unitary method, time and distance, time and work, percentages, applications to simple and compound interest, profit and loss, ratio and proportion, variation.

Elementary Number Theory—Division algorithm. Prime and composite numbers.

Tests of divisibility by 2, 3, 4, 5, 9 and 11. Multiples and factors. Factorization Theorem. H.C.F. and L.C.M. Euclidean algorithm. Logarithms to base 10, laws of logarithms, use of logarithmic tables.

**ALGEBRA**

Basic Operations, simple factors, Remainder Theorem, H.C.F., L.C.M., Theory of polynomials, solutions of quadratic equations, relation between its roots and coefficients (Only real roots to be considered). Simultaneous linear equations in two unknowns—analytical and graphical solutions. Simultaneous linear inequations in two variables and their solutions. Practical problems leading to two simultaneous linear equations or inequations in two variables or quadratic equations in one 21 variable & their solutions. Set language and set notation, Rational expressions and conditional identities, Laws of indices.

**TRIGONOMETRY**

Sine ×, cosine ×, Tangent × when 0° < × < 90° Values of sin ×, cos × and tan ×, for ×

= 0°, 30°, 45°, 60° and 90°

Simple trigonometric identities. Use of trigonometric tables. Simple cases of heights and distances.

**GEOMETRY**

Lines and angles, Plane and plane figures, Theorems on (i) Properties of angles at a point, (ii) Parallel lines, (iii) Sides and angles of a triangle, (iv) Congruency of triangles, (v) Similar triangles, (vi) Concurrence of medians and altitudes, (vii) Properties of angles, sides and diagonals of a parallelogram, rectangle and square, (viii) Circles and its properties including tangents and normals, (ix) Loci.

**MENSURATION**

Areas of squares, rectangles, parallelograms, triangle and circle. Areas of figures which can be split up into these figures (Field Book), Surface area and volume of cuboids, lateral surface and volume of right circular cones and cylinders, surface area and volume of spheres.

**STATISTICS**

Collection and tabulation of statistical data, Graphical representation frequency polygons, histograms, bar charts, pie charts etc. Measures of central tendency.

**INTELLIGENCE AND PERSONALITY TEST**

The SSB procedure consists of 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) 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 OIR Test and PP&DT.

(b) Stage II Comprises of Interview, Group Testing Officer Tasks, Psychology Tests and the Conference. These tests are conducted over 4 days.

## Exam Pattern

## How To Apply

The form can be filled online. Here are the