Standard and Syllabus of the Examination:

Time Allotted
Numbers of QuestionsMarks
In one session

Part-2 Elementary Mathematics 
Part-3 General Knowledge
Part-4 English


2 Hours





Type of Exam: Computer based test (CBT).

Language: English and Hindi both

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. 

Objection Management. Objection Management Link shall be hosted on DG TA website after 72 hours from the last date of examination inviting concerns of the candidates related to questions and answers keys of the examination, if any. The objection management link shall be shared with the candidates on their registered email for downloading of response sheet. Objection management link will be live for only three days. 


Part – 1. Reasoning. The question paper will be designed to test the candidates ability to complete sequences making logical conclusion based on simple patter of numbers, statements, figures, letters etc. as may be expected of a rational thinking person without any special study of the subject. 

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, Rational expressions and conditional identities, Laws of indices.13

(iii) Trigonometry. Sine ×, Cosine ×, Tangent × when 0° < ×< 90° Values of sin ×, cos × and tan ×, for ×= 0°, 30°, 45°, 60° and90° 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.

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.

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


EXAMINATION: The candidates applying for the examination should ensure that they fulfil all the eligibility conditions for the commission. Their candidature at all the stages of the commissioning process will be purely provisional subject to satisfying the prescribed eligibility conditions. Mere issue of Admit Card to the candidate will not imply that his candidature has been finally cleared by the Territorial Army Directorate. Verification of eligibility conditions with reference to original documents will be taken up only after the candidate has qualified for Service Selection Board interview.

Use of Unfair Means. Any candidate found using unfair means will be immediately disqualified & will have to give undertaking to this effect to the invigilator staff. If the candidate refuses to give undertaking, the invigilator staff should record under his signature. 

Mobile Phones Banned.(a) The use of any mobile phone (even in switched off mode), pager or any electronic equipment or programmable device or storage media like pen drive, smart watches etc. or camera or blue tooth devices or any other equipment or related accessories either in working or switched off mode capable of being used as a communication device during the examinations strictly prohibited. Any infringement of these instructions shall entail disciplinary action including ban from future examinations.

(b) Candidates are advised in their own interest not to bring any of the banned item including mobile phones or any valuable/costly items to the venue of the examination, as arrangement for safe-keeping cannot be assured. Commission will not be responsible for any loss in this regard.