UPSC Combined Defence Services (CDS)

A Combined Defence Services Examination is conducted by
the Union Public Service Commission for admission to the
undermentioned courses:
1. Indian Military Academy
2. Indian Naval Academy
3. Air Force Academy
4. Officers Training Academy
5. Officers Training Academy

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CONDITIONS OF ELIGIBILITY :
(a) Nationality : A candidate must either be :
(i) a Citizen of India, or
(ii) a subject of Bhutan, or
(iii) a subject of Nepal, or
(iv) a Tibetan refugee who came over to India before the 1st January, 1962 with the intention of permanently settling in India, or
(v) a person of Indian origin who has migrated from Pakistan, Burma, Sri Lanka and East African Countries of Kenya, Uganda, the United Republic of Tanzania, Zambia, Malawi, Zaire and Ethiopia or Vietnam with the intention of permanently settling in India.
Provided that a candidate belonging to categories (ii), (iii), (iv) and (v) above shall be a person in whose favor a certificate of eligibility has been issued by the Government of India. Certificate of eligibility will, however, not be necessary in the case of candidates who
are Gorkha subjects of Nepal. A candidate in whose case a certificate of eligibility is necessary, may be admitted to the examination provisionally subject to the necessary certificate being given to him/her by the Govt. before declaration of result by UPSC.
(b) Age Limits, Sex and Marital Status :
(i) For IMA-Unmarried male candidates born not earlier than 2nd January, 1989 and not later than 1st January, 1994 only are eligible.
(ii) For Indian Naval Academy-Unmarried male candidates born not earlier than 2nd
January, 1991 (2nd January, 1989 in case of NCC Naval Wing ‘C’ Certificate holders)
and not later than 1st January, 1994 only are eligible.
(iii) For Air Force Academy-Unmarried male candidates born not earlier than 2nd
January, 1990 and not later than 1st January, 1994 only are eligible.
(iv) For Officers’ Training Academy- (SSC Course for Men) : Male candidates (married or unmarried) born not earlier than 2nd January, 1988 and not later than 1st January, 1994 only are eligible.
(v) For Officers Training Academy – (SSC Women Non-Technical Course) Unmarried Women, issue less widows who have not remarried and issue less divorcees (in possession of divorce documents) who have not remarried are eligible. They should have been born not earlier than 2nd January, 1988 and not later than 1st January, 1994.
(c) Educational Qualifications :
(i) For I.M.A. and Officers’ Training Academy-Degree of a recognized
University or equivalent.
(ii) For Indian Naval Academy : Degree in Engineering for CDSE and Degree in
Engineering or B.Sc. (with Physics or Mathematics) for NCC entry.
(iii) For Air Force Academy : Degree of a recognized University (with Physics and
Mathematics at 10+2 level) or Bachelor of Engineering. Graduates with first choice as Army/Navy/Air Force are to submit proof of graduation provisional certificates on the date of commencement of the SSB Interview at the SSB.

SCHEME OF EXAMINATION
1. The Competitive examination comprises:
(a) Written examination as shown in para 2 below.
(b) Interview for intelligence and personality test of such candidates as may be called for interview at one of the Services Selection Centers.
2. The subjects of the written examination, the time allowed and the maximum marks
allotted to each subject will be as follows:
(a)For Admission to Indian Military Academy, Indian  Naval Academy and Air Force Academy.

Subject Duration Marks
English 2 Hours 100 Marks
General Knowledge 2 Hours 100 Marks
Maths 2 Hours 100 Marks

(b) For Admission to Officers’ Training Academy

Subject Duration Marks
English 2 Hours 100 Marks
General Knowledge 2 Hours 100 Marks

STANDARD AND SYLLABUS OF THE EXAMINATION
STANDARD
The standard of the papers in Elementary Mathematics will be of Matriculation level.
The standard of papers in other subjects will approximately be such as may be expected
of a graduate of an Indian University.

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, subtraction, 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 polynomi-
als, 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 variable & their solutions. Set language and set
notation, Rational expressions and conditional identities, Laws of indices.
TRIGONOMETRY
Sine x, cosine x, Tangent x when 0<x< 90
Values of sin x, cos x and tan x, for x = 0
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.