**STRUCTURE OF ENTRANCE EXAMINATION IERT ENTRANCE EXAM SYLLABUS,2020**.

**IERT ENTRANCE EXAM SYLLABUS**

The question paper will be of three hours, which will contain multiple choice type objective questions of a maximum of 300 (Three hundred) marks.

Every question booklet iert exam will have 75 multiple choice type objective questions with four options of answer for every question.

The candidate has to attempt all the questions.

** For each correct answer, four marks will be awarded whereas one mark will be deducted for each wrong answer. **

negative markings in iert exam are 1/4.

### SYLLABUS FOR THREE YEAR (6 SEMESTER) ENGINEERING DIPLOMA ENTRANCE EXAMINATION-2020

### **MATHEMATICS ** iert question paper

#### **A. ARITHMETIC: **

1. Simple & Compound interest.

2. Work-time and speed-time.

3. Bank deposits and payments in installments, Taxation.

4. Percentage, Profit, Loss & Discount.

5. Ratio, Proportion & Mixture.

#### **B. STATISTICS: **

1. Importance of statistics and its usefulness.

2. Classification of data frequency distribution, cumulative frequency.

2- Graphical representation of statistical data, bar chart, histogram, frequency polygon, frequency curves, cumulative frequency curve and a graphical representation, Pie diagram.

3. Measures of Central Tendency- Mean, Median & Mode.

4. Measures of Dispersion – Range, Mean Deviation, Standard Deviation & Variance.

#### **C. ALGEBRA: **

1. Number System-Natural Numbers, Whole Numbers, Integers, Even Numbers, Odd Numbers.

2- Rational Numbers, Irrational Numbers, Real Numbers, Prime Numbers, Twin Prime Numbers, Composite Numbers, and their characteristics.

2. Laws of Indices, Surds & Simplification.

3. Square Roots & Cube Roots.

4. Logarithms-definition, laws and their application, to find the characteristics & mantissa.

5. Factors-expressions in the form of the difference of two squares, trinomial expression.

5- factorization by completing the square, expressions in the form of sum and difference of two cubes, reminder theorem and expression of the type a 3+b3+c3 -3abc.

6. L.C.M. & H.C.M by factorization.

7. Linear & Quadratic Equations.

8. The solution of simultaneous equations (linear equations with three variables) and problems based on them.

9. Set Theory – Sets, Representation of Sets, Types of Sets, Subsets, Universal set, Complement of Set, Union of Sets, Interaction of Sets.

10- Disjoint Set, Difference of Sets, Laws of Algebra of Sets & Simple Problems with the help of Venn diagram.

10. Mappings – Into Mapping, Onto Mapping, One-One Mapping, and Many-One Mapping.

##### **D. TRIGONOMETRY: **

1. Circular measures (relation between radian & degree), the definition of trigonometric ratios and their relations.

2. Trigonometrical ratios of angles of 0 0, 300, 400, 600, 900 and 1800.

3. Trigonometrical ratios of angles of 90±𝜃, 180±𝜃, 270±𝜃, 360±𝜃, where 𝜃 is any angle.

4. Trigonometrical ratios (sine, cosine, tangent, and cotangent) for the sum & difference of two angles.

5. Expressing products of sines and cosines into sum and difference form.

6. Trigonometrical ratios of multiple & sub-multiple angles.

7. The angle of elevation and depression. Simple problems with height & distance.

##### **E. GEOMETRY: **

1. Pythagoras Theorem and its extension: Problems based on

**a.** The square on one side of a triangle is greater, equal or smaller than the sum of the squares on two sides of it.

according to as the angle between these two sides is an obtuse angle, a right angle or an acute angle.

In case of a un-equality, the difference is twice the rectangle contained by one of these sides and projection of the other on this site.

Knowledge of the Pythagoras number (3, 4, 5), (5, 12, 13), etc.

** b**. Apollonius Theorem- The sum of the squares contained on the two sides of a triangle equals twice the sum of the squares contained on half of the third side and the median bisecting this side.

2. Circles: Problems based on

a. The line joining the center a circle to the midpoint of a chord is at right angles to it.

#### b. The converse of the above theorem.

c. One and only one circle can pass through three points, not on the same straight line.

d. Segments subtending equal angles at the centers of equal circles are also equal.

e. The converse of the above theorem.

f. Equal chords of equal circles are contained in equal areas.

g. The converse of the above theorem.

h. In a circle, equal chords are equidistant from the center.

i. The converse of the above theorem.

j. The angle subtended at the center of a circle by an area is twice the angle subtended by it at the remaining circumference.

k. Angles on the same segment of a circle are equal.

l. If the angles subtended by a straight line formed by joining two points at two other points (on the same side) are equal, the four points are noncyclic.

m. The angle on the semicircle is a right angle, that on the major segment is acute and the one on the minor segment is obtuse.

3. Area and Perimeter of Plane Figures.

** F. MENSURATION (Solid Geometry): **

Surfaces & Volumes of Cube, Cuboids, Rectangular Parallelepiped, Right Prism, Right Pyramid, Right Circular Cylinder, Right Circular Cone and Sphere (application of the formulae without proof).

###### **G. COORDINATES GEOMETRY: **

Distance Between Two Points, Section Formulae, Coordinates of Centroid, Circumcenter, Incentre & Orthocenter of a Triangle.

Area of a Triangle & Quadrilateral, Collinear Points, Equations of Straight Lines in Different Forms, Length of a Perpendicular.

Distance Between Two Parallel Lines, Equations of Parallel & Perpendicular Lines, Coordinates of the Foot of Perpendicular.

Angles Between Two Lines, Co-ordinates of a Point of Intersection, Equations of the Bisectors of the Angles Between Two Given Lines, Concurrent Lines.

#### ** PHYSICS iert question paper **

A. MEASUREMENTS

1. Fundamental units: Fundamental quantities, S.I. system of fundamental units, standard meter, standard kilograms, standard second, micron, Angstrom & light-years, derived units.

2. Measurements of small length: Principal of vernier calipers & screw gauge and its applications, limit of accuracy of measurement, significant figures.

B. KINEMATICS:

1. Elementary Knowledge of Vectors: Distance & displacement, speed & velocity, representation of a vector, the addition of vectors (triangle & polygon method-only force diagram).

2. Acceleration Equation of motion under gravity (straight line).

###### C. MECHANICS:

1. Laws of Motion – Newton’s law of motion, first law, second law of motion (force mass acceleration), unit of force (Newton & Kilogram weight), the law of conservation of momentum, the third law of motion.

2. Moment of Force – Moment of force and its unit, principal of moments, the equilibrium of a body under the system of parallel forces, the center of gravity.

condition of stable, unstable and neutral equilibrium.

D. WORK, POWER & ENERGY:

Work, Power, Energy and its units (Joule, Watt), the definition of energy, kinetic energy, potential energy (examples of elastic, gravitational and electrical energy).

Transformation of energy and its relation with work, conservation of mechanical energy, different forms of energy (including mass and energy relation).

E. HYDRO-STATICS:

Pressure in liquids & its dependence on density & depth, unit of pressure, laws of liquid pressure and deduction of Archimedes’s principal from it, Floatation upthrust of gases.

the principal of simple barometer, calculation of atmospheric pressure from the height of mercury column, practical application.

F. VIBRATION:

1. Periodic motion, time period, frequency, amplitude, characteristics of simple harmonic motion (No mathematical derivation).

2. Wave Motion & Sound- Formation of wave and its mechanism of propagation, Transverse and Longitudinal waves, wavelength.

speed of the wave, the relation between frequency of infrasonic & ultrasonic, general idea about electromagnetic waves (gamma rays, X-rays, ultrasonic rays.

visible light, infrared radiation, sources of radio waves and it’s a simple example of application).

** G. HEAT KINETIC THEORY OF MATTER:**

1. Kinetic model of gases (no mathematical derivation). Explanation of the pressure of gases on the basis of kinetic theory, the concept of temperature, the relation between the pressure.

volume and temperature of gases, ideal gas equation.

2. Thermal Expansion – Coefficient of thermal expansion of solid, liquid and gases, practical application of thermal expansion, liquid thermometer. Temperature scales (Celsius, Fahrenheit, & Kelvin).

3. Thermal Energy – Concept of internal energy, units of thermal energy (joule calorie). Thermal capacity and specific heat capacity. Latent heat, calorimeter (Principal of mixture, related problems).

4. Thermal Radiation – Dependence of rate of radiation on area, temperature & nature of the surface, cooling curve, emissivity, and its need.

H. LIGHT:

1. Some facts about light – Mutual independence of light rays, deviation from rectilinear propagation of light, scattering of light, diffused reflection.

2. Reflection of light – Laws of reflection, ray diagram showing the formation of images from spherical mirrors (convex & concave), its size and nature, derivation of mirror formula and its use in numerical problems, linear magnification

3. Refraction of light on the plane surface – Refraction & speed of light, Snell’s law, refractive index, refraction on two parallel plane surfaces refraction, deviation, dispersion of light and total reflection in prisms.

4. Refraction through thin lenses – Converging & diverging nature of lenses; first & second principal focus. Ray diagrams showing the formation of images from lenses use of 1/V – 1/U = 1/F

4- and its use in numerical problems (No derivation), the linear magnification power of lenses and its unit (Diopter).

5. Optical Instruments – Formation of the image in human eye power of accommodation, least distance of distinct vision, the introduction of lenses as a remedy of myopia (Short-sightedness).

hyper myopia (long-sightedness), Photographic camera, slide projector, simple microscope and its magnifying power and arrangement of lenses in the compound microscope and astronomical telescope.

** I. ELECTROSTATICS:**

Atomic model of the electrical phenomenon, negative, positive charge and their electron model, the difference in conductor and nonconductor (free electron model).

electrostatic induction and explanation of conduction in metal on the basis of the free electron model.

J. ELECTRICITY:

Simple Circuits – the concept of electric current and potential difference, ampere and volt, electric cell, electromotive force, Leclanche cell, Daniell cell and dry cell (with chemical reactions).

polarization lead accumulator (chemical reaction not required) measurement of current and potential difference, Ohm’s law, resistance & dependence of resistance on length of the conductor.

cross-sectional area and nature of conductor specific resistance, a combination of resistance in series and parallel.

application of equivalent resistance in numerical problems internal resistance in numerical problems related to it.

Series and parallel combination of cells.

CHEMISTRY iert question paper

** A. GENERAL & PHYSICAL CHEMISTRY **

1. Science & scientific method, the definition of chemistry, branches of chemistry and the importance of chemistry in the modern age.

2. Matter and its three physical states & deviation based on molecular kinetic theory.

3. Atom, molecule, and laws of chemical combination (Statement and examples).

4. Atomic structure, nuclear proton, neutron, atomic mass unit, electrons and their orbits (Atomic no. & isotopes) Introduction of radioactivity and nuclear energy.

##### 5. Valency- electrovalent and co-valency.

6. Symbol, formula, chemical equation, and balancing of simple chemical equations.

7. Gas laws – Boyle’s laws, Charles law, and gas equation; Gay-lussac’s law of gaseous volumes, Dalton’s law of partial pressure and Grahm’s law of diffusion.

8. Avogadro’s Hypothesis and its importance.

9. Atomic weight, molecular weight & equivalent weight. Examples and methods of their determinations (for molecular weight only Victor Meyer’s and Hoffman’s method).

10. Faraday’s law of electrolysis, explanation of acid, base & salt, the elementary concept of ionization. Principles of a simple voltaic cell.

11. Different chemical reactions-addition, substitution, dissociation, hydrolysis, double decomposition, oxidation-reduction and catalytic.

12. Explanation of solution-solution, solute, solvent saturated solution, unsaturated solution, and supersaturated solution, normal solution-molal solution, molar solution, solubility, viz.

the reaction of the solution, some important solvents water, benzene, ether, acetone, carbon tetrachloride, and Alcohol.

** B. INORGANIC CHEMISTRY:**

1. Classification of elements, general characteristics of Mendeleev’s periodic table.

2. Electronic configuration & position of the following elements in the periodic table, hydrogen, carbon, nitrogen, phosphorus, sulfur & chlorine

. 3. Drinking water, the volumetric composition of water, hard & soft water, temporary & permanent hard water. Physical & chemical methods for the removal of hardness of the water.

4. Laboratory method of preparation; properties and uses of the following gases; oxygen, nitrogen, chlorine, ammonia, sulfur dioxide, sulphurated hydrogen & hydrogen chloride.

5. Difference between metals & nonmetals, the metallurgy of Aluminum.

** C. ORGANIC CHEMISTRY:**

1. Introduction of organic chemistry. Definition and scope of organic chemistry, the difference between organic & inorganic compounds. Preliminary introduction of the tetrahedral nature of the carbon atom.

2. Classification & nomenclature of organic compounds-Aliphatic & Aromatic (Homologous Series).

3. Methods of preparation and properties of Paraffins (Methane and Ethane) and unsaturated hydrocarbons (Ethylene and acetylene).

4. Simple introduction of Plastic, artificial fiber, medicines, explosives, soap and detergents.

** D. NUMERICAL PROBLEMS: **

Numerical problems based on the following topics – laws of chemical combination, percentage composition, empirical and molecular formula, chemical equation.

equivalent weight, valency, the molecular weight of Volatile substances, Graham’s Law of diffusion and Gas equation.

### SYLLABUS FOR MANAGEMENT DIPLOMA ENTRANCE EXAMINATION-2020( IERT ENTRANCE EXAM SYLLABUS)

There will be only one objective paper in the entrance examination for this course and the subjects to be covered in the entrance examination will be English & Hindi, Comprehension.

General Knowledge, Simple Arithmetic’s, Algebra, General awareness about Geography, Economics, History, and Commerce up to Intermediate standard.

* iert course* SYLLABUS FOR THREE-SEMESTER POST DIPLOMA IN COMPUTER APPLICATION ENTRANCE EXAMINATION-2020 (IERT ENTRANCE EXAM SYLLABUS)

*iert course*

There will be only one objective paper in the entrance examination. The subjects to be covered for this entrance examination will be general English, general knowledge.

numerical ability, reasoning & general awareness in physics and Math.

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The Information Brochure is available only on the web site www.iertonline.in **iert official website** for reading as well as download.

The result of the entrance examination shall be displayed on the notice board of I.E.R.T., 26, Chatham lines, Prayagraj. The result will also be available on the official website www.iertonline.in **iert official website **

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