## Territorial Army Officer Syllabus 2023

**Exam Duration. **Maximum time is 02 hours.

**Type of Exam. **Computer based test (CBT).

**Qualifying Marks. **The Territorial Army Directorate have discretion to fix qualifying marks in any or all the subjects of the examination

**Penalty for Wrong Answers.** For each question for which a wrong answer has been given by the candidate, one third (0.33%) marks assigned to that question will be deducted as penalty. Question marked for review will be treated as unanswered.

**Selection Procedure.**

(a) Candidates whose application forms are found correct and are declared successful in the online entrance exam will be detailed for intelligence and personality test at the Service Selection Board.

(b) Two- stage selection procedure based on Psychological Aptitude Test and Intelligence Test has been introduced at Service Selection Boards. All the candidates will be put to stage one test on first day of reporting at Selection Centres. Only those candidates who qualify at stage one will be admitted to the second stage/remaining tests and all those who fail to pass stage one, will be returned.

(c) The male and female candidates will be placed in separate order of merit on the basis of the total marks secured by them in the online entrance examination and in the SSB tests.

`Territorial Army Officer Syllabus 2023`

**(a) Part – 1. Reasoning. **

The question paper will be designed to test the candidates ability to complete sequences, making logical conclusion based on simple pattern of numbers, statements, figures, letters etc as may be expected of a rational thinking person without any special study of the subject.

**(b) Part – 2. Elementary Mathematics. **

(i) 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. Factorisation Theorem. H.C.F. and L.C.M. Euclidean algorithm. Logarithms to base 10, laws of logarithms, use of logarithmic tables.

**(ii) 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 variable & their solutions. Set language and set notation,

**(iii) 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.

**(iv) Geometry**. Lines and angles, plane and plane figures, Theorems on, Properties of angles at a point, Parallel lines, Sides and angles of a triangle, Congruency of triangles, Similar triangles, Concurrence of medians and altitudes, Properties of angles, Sides and diagonals of a parallelogram, Rectangle and square, Circle and its properties including tangents and normal, Loci.

**(v) 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.

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

**(c) Part – 3. General Knowledge.** General knowledge including knowledge of current events and such matters of everyday observation and experience in 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 nature which candidates should be able to answer without special study.

**(d) Part – 4. English.** The question paper will be designed to test the candidates’ understanding of English and workman - like use of words.

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