Territorial Army Officer Graduate Level Recruitment Syllabus 2019
( (a) 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.
(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 fraction.
(ii) Unitary Method. Time and distance, time and
work, percentages, application to simple and compound interest, profit and
loss, ratio and proportion, variation.
(iii) Elementary Number Theory. Division algorithm,
prime and composite numbers. Tests of divisibility by 2, 3, 4, 5, 9 & 11.
Multiples and factors, factorization theorem, HCF and LCM. Euclidean algorithm,
logarithms to base 10, laws of logarithms, use of logarithmic tables.
(iv) Algebra. Basic operations, simple factors,
remainder theorem, HCF, LCM, 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 equations in two variables and their
solutions. Practical problems leading to two simultaneous liner equations or in
equations in two variables or quadratic equations in one variable and their
solutions. Set language and set notation, rational expressions and conditional
identities, laws of indices.
(v) Trigonometry. Sine x, cosine x, tangent x when
O° < x < 90°. Values of sine x, cos x and ten x, for x = 0°, 30°, 45°,
60° & 90°. Simple trigonometric identities. Use of trigonometric tables.
Simple cases of heights and distances.
(vi) Geometry. Lines and angles, plane and plane
figures theorems on ÿ Properties of angles at a point. ÿ Parallel lines. ÿ
Sides and angles of a triangle. ÿ Congruency of triangles. ÿ Similar triangles.
ÿ Concurrence of medians and altitudes. ÿ Properties of angles, sides and
diagonals of a parallelogram, rectangle and square. ÿ Circle and its
properties, including tangents and normal. ÿ Loci.
(vii) Mensutration. Areas of squares, rectangles,
parallelograms, triangle and circle. Areas of figures which can bisect into the
figures (field book). Surface area and volume of cuboids, lateral surface and
volume of right circular area of cylinders. Surface area and volume of spheres.
(viii) Statistics. Collection and tabulation of
statistical data, graphical representation-frequency polygons, bar charts, pie
charts, etc. Measures of central tendency.
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| Territorial Army Officer Graduate Level Recruitment Syllabus 2019 |
Paper – II. General Knowledge and English.
(a)Part – 1. 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.
(b)Part – 2. English.
The question paper will be
designed to test the candidates’ understanding of English and workman - like
use of words. Questions in English are from synonyms, antonyms, reading
comprehension, Para jumbles, error spotting, jumbled sentences, sentence
correction and fill in the blanks.
