** Educational Qualifications: **

(i) For I.M.A. and Officers’ Training Academy, Chennai — Degree of a recognised University or equivalent.

(ii) For Indian Naval Academy—Degree in Engineering from a recognised University/Institution.

(iii) For Air Force Academy—Degree of a recognised University (with Physics and Mathematics at 10+2 level) or Bachelor of Engineering.

**PENALITY FOR WRONG ANSWERS:**

Candidates should note that there will be penalty (Negative Marking) for wrong answers marked by a candidate in the Objective Type Question Papers.

**Syllabus**

The Competitive examination comprises: (a) Written examination (b) Interview for intelligence and personality test of such candidates as may be called for interview at one of the Services Selection Centres.

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 Maximum Marks

1.) English 2 Hours 100 marks

2.) General Knowledge 2 Hours 100 marks

3). Elementary Mathematics 2 Hours 100 marks

(b)** For Admission to Officers’ Training Academy** :—

Subject Duration Maximum Marks

1.) English 2 Hours 100 marks

2.) General Knowledge 2 Hours 100 marks.

The maximum marks allotted to the written examination and to the interviews will be equal for each course i.e. the maximum marks allotted to the written examination and to the interviews will be 300, 300, 300 and 200 each for admission to the Indian Military Academy, Indian Naval Academy, Air Force Academy and Officers’ Training Academy respectively.

**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** (Code No. 01) The question paper will be designed to test the candidates’ understanding of English and workmanlike use of words.

**GENERAL KNOWLEDGE** (Code No. 02) 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 **(Code No. 03) 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. Factorisation 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.