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Territorial Army 1 2017 Numerical Ability Important Formulas

Indian Army has released Territorial Army 1 2017 entry notification will be release soon. TA 1 2017 entry application will be closed after one month of release of notification. As...

Indian Army has released Territorial Army 1 2017 entry notification will be release soon.  TA 1 2017 entry application will be closed after one month of release of notification. As per the latest pattern of the written exam there will be two papers in which paper 1 will be – Reasoning and Elementary Mathematics and Paper 2 will be  General Knowledge and English.

Territorial Army 1 2017 Exam Mock Test Series

Territorial Army Numerical Ability Syllabus

(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

  • 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

(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.

Territorial Army 1 2017 Numerical Ability Important Formulas

territorial-army-1-2017-numerical-ability-important-formulas

 

  • Arithmetic Operations

AIrthmatic

  • Exponent Properties

Exponent

  • Properties of Radicals

radicals

  • Properties of Inequalities

inequalities

  • Properties of Absolute Value
    Properties of Absolute Value

  • Distance FormulaDistance Formula

  • Complex NumbersComplex Numbers

  • Logarithms and Log PropertiesLogarithms and Log Properties

  • Factoring FormulasFactoring Formulas

  • Quadratic FormulaQuadratic Formula

  • Square Root PropertySquare Root Property

  • Constant Function GraphConstant Function Graph

  • Circle GraphCircle graph

  • Ellipse GraphEllipse graph

  • Hyperbola Graphhyperbola

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