**College / University:**Integral University, Lucknow

Contents

- Paper 1- Part A
- Paper - 1 - Part B
- Paper– 2 (Aptitude test in M.B.A.)
- Paper –3 (Aptitude Test for B.Tech. -IInd Year) for Diploma Holders
- Paper–4 (Aptitude Test for B.Tech. IInd Year) for B.Sc. Graduates
- Paper 5 - Aptitude Test for B. Pharm. (IInd YEAR)
- Paper 6 - Aptitude Test for Architecture
- Paper 7 - Syllabus for Diploma Engineering
- Syllabus for MCA
- Syllabus for MCA (Lateral Entry)

Integral University Entrance Test (IUET) is an yearly exam conducted for admissions to Undergraduate/Postgraduate Courses in Engineering and Technology, Architecture, Pharmacy, Applied Sciences, Education, Management and Research, Computer Applications, Medical Sciences, Library and Information Science, Diploma in Engineering programmes at Integral University, Lucknow. Integral University Entrance Test (IUET) is conducted by Integral University, Lucknow.

## Paper 1- Part A

### Physics

#### Unit-1

**Motion In One & Two Dimensions :** Average velocity, instantaneous velocity, one dimensional motion with constant acceleration, freely falling bodies.

**Measurement :** Dimensional analysis and error estimation, dimensional compatibility and significant figures.

**Laws Of Motion :** Force and inertia, Newton's laws of motion and their significance. Tension in strings, system of pulleys.

**Motion In Two Dimensions :** Projectile motion, uniform circular motion, tangential and radial acceleration in curvilinear motion, relative motion.

**Work, Power And Energy :** Work done byi constant and variable forces, kinetic and potential energy, power, conservative and non- conservative forces, conservation of energy, gravitational energy, work energy theorem, potential energy stored in a spring.

**Linear Momentum & Collisions :** Linear momentum & impulse, conservation of linear momentum for two particle system, collisions, collision in one dimension, collision in two dimensions, rocket propulsion.

**Rotation Of A Rigid Body About A Fixed Axis :** Angular velocity and angular acceleration, rotational kinematics, rotational motion with constant angular acceleration, relationship between angular and linear quantities, rotational energy, moment of inertia for a ring, rod, spherical shell, sphere and plane lamina, torque and angular acceleration, work and energy in rotational motion, rolling motion of a solid sphere and cylinder, friction and energy dissipation.

#### Unit-2

**Gravitation :** Gravitational field, Kepler's laws and motion of planets, planetary and satellite motion, geostationary satellite, escape velocity.

**Oscillatory Motion :** Harmonic motion, motion of mass attached to a spring, motion of mass attached to system of springs, kinetic & potential energy, Time Period of a simple pendulum, comparing simple harmonic motion with uniform circular motion, forced oscillations, damped oscillations and resonance.

**Mechanics Of Solids And Fluids :** States of matter Young's modulus, Bulk modulus, Shear modulus of rigidity, variation of pressure with depth, Buoyant forces and Archimedes principle, Pascal's law, Bernouli's theorem and its applications, surface energy, surface tension, angle of contact, capillary rise, coefficient of viscosity, viscous force, terminal velocity, Stoke's law, stream line motion, Reynold's number.

**Heat And Thermodynamics :** First law of thermodynamics, specific heat of an ideal gas at constant volume and constant pressure, and relation between them, Thermal processes. (reversible, irreversible, isothermal, adiabatic), second law of thermodynamics, concept of entropy and absolute scale, efficiency of a Carnot engine, thermal conductivity, Newton's law of cooling, black body radiation, Wien's displacement law, Stefan's law.

#### Unit-3

**Wave :** Wave motion, phase, amplitude and velocity of a wave, Newton's formula for longitudinal waves, propagation of sound waves in air, effect of temperature and pressure on velocity of sound, Laplace's correction, Principle of superposition, formation of standing waves, standing waves in strings and organ pipes, beats, Doppler's effect in sound & light.

**Wave Optics :** Coherent and incoherent sources of light, interference, Young's double slit experiment, diffraction due to a single slit, linearly polarized light, Polaroid.

**Electrostatic :** Coulomb's law, electric field and potential due to point charge, dipole and its field along the axis and perpendicular to axis, electric flux, Gauss's theorem and its applications to find the field due to infinite sheet of charge and inside the hollow conducting sphere, capacitance, parallel plate Capacitor with air and dielectric medium between the plates, Series and parallel combination of capacitors, energy of a capacitor, displacement current.

**Current Electricity :** Concept of free and bound electrons, drift velocity and mobility, electric current, Ohm's law, resistivity, conductivity, resistance in series and parallel combination, Kirchhoff's law and their application to network of resistances, principle of potentiometer, effect of temperature on resistance and its applications.

**Magnetic Effect Of Current :** Magnetic field due to current, Biot- Savart's law, magnetic field due to solenoid, motion of charge particle in a magnetic field, force on current carrying conductors and torque on current loop in a magnetic field, magnetic flux, forces between two parallel current carrying conductors, moving coil galvanometer and its conversion into ammeter and voltmeter.

**Magnetism In Matter :** The magnetization of substance due to orbital and spin motions of electrons, magnetic moment of atoms, diamagnetism, paramagnetism, ferromagnetism, earth's magnetic field and its components and their measurement.

#### Unit-4

**Electromagnetic Induction :** Induced E.M.F., Faraday's laws, Lenz's law, electromagnetic induction, self and mutual induction, B-H curve, hysteresis loss and its importance, eddy currents.

**Ray Optics And Optical Instruments :** Sources of light, luminous intensity, luminous flux, illuminance, photometry, wave nature of light, Huygen's theory for propagation of light and rectilinear propagation of light, reflection of light, total internal reflection, reflection and refraction at spherical surfaces, focal length of a combination of lenses, spherical and chromatic aberration and their removal, refraction and dispersion of light due to a prism, simple and compound microscope, reflecting and refracting telescope, magnifying power and resolving power.

#### Unit-5

**Modern Physics :** Photo-electric effect, matter waves, quantization, Planck's hypothesis, Bohr's model of hydrogen atom and its spectra, ionisation potential, Rydberg constant, solar spectrum and Fraunhofer lines, fluorescence and phosphorescence, X-Rays and their productions, characteristic and continuous spectra. Moseley law, de Broglie wave length, Nuclear Instability, radioactive decay laws, Emission of a, b and g rays, Mass - defect, Mass Energy equivalence, Nuclear Fission, Nuclear Reactors, Nuclear Fusion, Classification of conductors, Insulators and semiconductors on the basis of energy bands in solids, PN junction, PN Diode, junction Transistors, Transistor as an amplifier and Oscillator, Principles of Logic Gates (AND, OR and NOT), Analog Vs Digital communication, Difference between Radio and television, Signal propagation, Principle of LASER and MASER, Population Inversion, Spontaneous and stimulated Emissions.

### Chemistry

#### Unit-1

**Atomic Structure :** Bohr's atomic model, Electronic Configuration, Ouantum number, Aufbau Principle, Hund's Rule, Pauli's Exclusion Principle, De Broglie's equation, Heisenberg Principle, Shape of Orbitals.

**Chemical Bonding And Molecular Structure :** Electrovalent Bond, Covalent Bond, Hydrogen Bond, Hybridization involving s, p and d orbitals, Shapes of molecules, VSEPR- Theory, Molecular Orbital Theory.

**Solid State :** Classification of solids, Seven crystal systems, Structure of simple ionic solids, space lattice and unit cell.

**Chemical Equilibrium :** Law of mass action, Equilibrium constant, Le-Chateliers's Principle (Effect of temperature, pressure and concentration) Ionic equilibrium, Ostwald's Dilution law, Salt hydrolysis, pH and buffer solution, solubility and solubility product, Acid and Bases (Bronsted and Lewis concept).

#### Unit-2

**Chemical Kinetics :** Rate of chemical reaction, Molecularity and order of reaction, Rate constant, First and second order reactions, Half life period and its dependence on concentration in 1st and 2nd order reactions. Temperature dependence of rate constant (Arrhenius equation)

**Electrochemistry :** Specific, equivalent and molecular conductances, Effects of concentration on equivalent conductivity, Kohlrausch's law of independent migration of ions, Electrochemical Cells and cell reactions. Standard electrode potential, Nernst equation and electrochemical series.

**Catalysis And Colloids :**Types of catalysis, Kinetics of homogenous catalysis, Theories of catalysis. Colloids- Types, preparation and general properties, Emulsions, Surfactants and Micelles.

#### Unit-3

**Energetics :** First law of Thermodynamics- Internal energy, work, heat and pressure - volume, work, Enthalpy, Hess's law of constant heat summation, Fusion and vapourization. Heat of reaction, Heat of formation, Heat of combustion and Heat of neutralization, Second law of thermodynamics, Entropy, Free Energy, Criterion of spontaneity.

**Solution :** Raoult's law: molecular weight determination from lowering of vapour pressure, Elevation of boiling point, Depression of freezing point, Osomotic pressure, Vant Hoff factor.

**Gas Laws :** Ideal gas equation, Kinetic molecular theory of gases deviation from ideal behavior, vander Waal's equation. Average, Root Mean Square (RMS) and most probable velocities and their relation.

#### Unit-4

Inorganic Chemistry

**Periodic Table :** Classification of elements on the basis of electronic configuration, lonisation potential, Electronegativity and Electron affinity.

**Preparation And Properties Of The Following:** Hydrogen Peroxide, Phosphorous, Aluminum, Iron, Copper, Silver, Lead, Cement, Glass, Copper Sulphate, Silver Nitrate, Plaster of Paris, Borax, Mohr's Salt, Alums, White and Red Lead, Micro cosmic salt and Bleaching powder, Sodium Thiosulphate, Soap.

**Principles Of Qualitative Analysis:** Group I to V (Ag , Hg , Cu , Pb , Bi , Fe , Cr , AI , Zn , Ni , Co , Ca , Ba , 2+ Sr ,)

**Nuclear Chemistry : **Radioactivity, Isotopes and Isobars. Properties of Alpha, Beta and Gama rays, Nuclear fission and fusion, Kinetics of radioactivity.

#### Unit-5

**Organic Chemistry : **Shape of organic compounds, Free radicals, Ions, Electromeric and Resonance effects, Types of organic reactions [Cannizzaro, Friedel-Craft, Perkin reaction, Aldol condensation], Isomerism [Structural, Geometrical and Optical].

General preparation and functional group properties of the following with emphasis on points noted against each of them.

(a) Alkane (Free radical substitution), Alkenes [Electrophilic. addition, Markownikoff’s addition. Peroxide effect] and Alkynes. Petroleum [Cracking, Octane Number, Anti knocking compounds].

(b) Alcohol, [Distinctions, Haloform reaction].

(c) Carbonyl Compound [Aldehydes, Ketones, carboxylic acids & Esters, Ether, Primary Amines [Classification, Distinction, Basic nature]. Benzene [Resonance], Toluene, Phenol, Nitrobenzene, Aniline, Benzaldehyde, Benzoic acid.

## Paper - 1 - Part B

### Mathematics

#### Unit-1

**Algebra : **Sets, relations & functions, De-Morgan's Law, Mapping, Inverse relations, Equivalence relations, Peano's axioms, Definition of rationals and integers through equivalence relation, Indices and Surds, solutions of simultaneous and quadratic equations, A.P., G.P. and H.P., Partial fraction, Binomial Theorem for any index, exponential series, Logarithmic Series, Determinants and their use in

solving simultaneous linear equations, Matrices, algebra of matrices, inverse of a matrix, Use of matrix for solving linear equations.

**Trigonometry :** Identities, Trigonometric equations, properties of triangles, height and distance, Inverse function, Complex numbers

and their properties , Cuberoots of unity , De-Moivre's theorem.

#### Unit-2

**Co-ordinate Geometry :** Cartesian system of rectangular co-ordinates in a plane, distance formula, section formula, locus and its

equation, translation of axes, slope of a line, parallel and perpendicular lines, intercepts of a line on the coordinate axes.

**Straight Lines :** Various forms of equations of a line, intersection of lines, angles between two lines,condition for concurrence of three lines, distance of a point from a line, equations of internal and external bisectors of angles between two lines, coordinates of

centroid, orthocenter and circumcentre of a triangle, equation of family of lines passing through the point of intersection of two lines.

**Circle & Conic Sections :** Standard form of equation of a circle, general form of the equation of a circle, its radius and centre,

equation of a circle when the end points of a diameter are given, points of intersection of a line and a circle with the centre at the origin and condition for a line to be tangent to a circle, equation of the tangent. Sections of cones, equations of conic sections

(parabola,ellipse and hyperbola) in standard forms.

#### Unit-3

**Differential Calculus :** Limit, Continuity and Differentiability: Real valued functions, algebra of functions, polynomials, rational, trigonometric, logarithmic and exponential functions, inverse function. Graphs of simple functions. Limits, continuity and differentiability. Differentiation of the sum, difference, product and quotient of two functions. Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions; derivatives of order upto two. Rolle's and Lagrange's Mean Value theorems.

**Applications of derivative :** Rate of change of quantities, monotonic - increasing and decreasing functions, Maxima and minima of functions of one variable, tangent and normal.

#### Unit-4

**Integral Calculus :** Integral as an anti- derivative, Fundamental integrals involving algebraic, trigonometric, exponential and

logarithmic functions. Integration by substitution, by parts and by partial fractions. Integration using trigonometric identities.

**Evaluation Of Simple Integrals :** Integral as limit of a sum, Fundamental theorem of calculus, Properties of definite integrals.

Evaluation of definite integrals, determining areas of the regions bounded by simple curves in standard form.

#### Unit-5

**Vector Algebra :** Vector and scalar quantities, addition of vectors, components of a vector in two dimensional and three dimensional

space, scalar and vector double and triple product.

**Statistics And Probability :** Mean, median, mode and standard deviation. Probability of an event, addition and multiplication

theorems of probability, Baye's theorem.

### Biology

#### Unit 1: Evolution and Biodiversity

**Origin of life :** Oparin's theory, Miller's experiment, Viruses structure, properties, distribution, classification and pathogenesis

(eg. AIDS, Cancer, etc.), viriods & prions, biotic balance.

**Organic evolution :** Relationship among organisms and evidences of organic evolution- principles of evolution, Lamarckism, Darwinism and speciation.

**Mechanism of organic evolution :** Variations-definition, causes and types, mutations (principle of Hugo devries), role of mutation in speciation. Evolution through ages and human evolution.

**Biology **– its meaning and relevance to mankind. What is living; Taxonomic categories and aids (Botanical gardens, herbaria, museums, zoological parks); Systematics and Binomial system of nomenclature. Introductory classification of living organisms (Two-kingdom system, Five-kingdom system); Major groups of each kingdom alongwith their salient features (Monera, including Archaebacteria and Cyanobacteria, Protista, Fungi, Plantae, Animalia); Viruses; Lichens Plant kingdom – Salient features of major groups (Algae to

Angiosperms);

**Animal kingdom** – Salient features of Nonchordates up to phylum, and Chordates up to class level.

#### Unit 2 : Cytology and Genetics

**Cell :** The Unit of Life ; Structure and Function: Cell wall; Cell membrane; Endomembrane system ( ER , Golgi apparatus/Dictyosome, Lysosomes, Vacuoles); Mitochondria; Plastids; Ribosomes; Cytoskeleton; Cilia and Flagella; Centrosome and Centriole; Nucleus; Microbodies.

Structural differences between prokaryotic and eukaryotic, and between plant and animal cells. Cell cycle (various phases); Mitosis;

Meiosis.

**Biomolecules –** Structure and function of Carbohydrates, Proteins, Lipids, and Nucleic acids.

**Enzymes –** Chemical nature, types, properties and mechanism of action.

**Genetics :** Mendelian inheritance; Chromosome theory of inheritance; Gene interaction; Incomplete dominance; Co-dominance; Complementary genes; Multiple alleles; Linkage and Crossing over; Human hereditary traits, study of twins, A, B, O blood groups and their inheritance, Rh factor, sex determination, chromosomal aberration, important human syndromes, sex-linked characters and their inheritance, applied genetics- eugenics, euthenics, euphenics & I.Q. test.

**DNA –** its organization and replication; Transcription and Translation; Gene expression and regulation; DNA fingerprinting.

**Steps in recombinant DNA technology –** restriction enzymes, DNA insertion by vectors and other methods, regeneration of recombinants. Applications of R-DNA technology. In human health –Production of Insulin, Vaccines and Growth hormones, Organ transplant, Gene therapy.

#### Unit 3: Plant Physiology

**Absorption :** Absorption of water through root hairs, osmosis, translocation and root pressure, nitrogen cycle.

**Nutrition :** Special modes of nutrition in plants (autotrophic, heterotrophic, parasites, saprophytes, symbionts, insectivorous and

their ecological relation.

**Photosynthesis :**Chloroplast, light, chlorophyll and carbon dioxide, mechanism of photosynthesis, formation of ATP and its functions and importance of photosynthesis.

**Transpiration :** Factors and importance, mechanism of opening and closing of stomata, ascent of sap.

**Respiration :** Aerobic, anaerobic respiration, mechanism of respiration (glycolysis, Kreb's cycle, electron transport chain).

**Growth and movement :** Definition of growth, region of growth and their measurements, types of movements in plants, growth hormones.

**Diffusion and Osmosis :** water potential, osmotic pressure, turgor pressure.

**A-sexual methods of reproduction; Sexual Reproduction -** Development of male and female gametophytes; Pollination (Types and agents); Fertilization; Development of embryo, endosperm, seed and fruit (including parthenocarpy and apomixis).

**Growth and Movement –** Growth phases; Types of growth regulators and their role in seed dormancy, germination and movement; Apical dominance; Senescence; Abscission; Photo- periodism; Vernalisation; Various types of movements.

#### Unit 4: Animal Physiology

**Animal Nutrition :** Food, balanced diet, nutritional imbalances and deficiency diseases, digestion, absorption, assimilation of food.

**Animal excretion and osmoregulation :** Chemical nature of excretory products in various animals, physiology of excretion, functions of liver and kidneys, formation of urine, osmoregulation by kidneys.

**Respiratory system :** Exchange and transport of gases (O2 and CO2), factors affecting their transport, cellular respiration, different lung volumes, breathing and sound production.

**Nervous system :** central, autonomic and peripheral nervous system, receptors, effectors, reflex action, nature and conduction of nerve impulse, synapse and sense organs- structure and working of eye and ear, biochemistry of vision and taste buds.

**Endocrine system :** Different endocrine glands and hormones-definition, types, characteristics and their functions (in relation to

human beings), hormonal disorders and pheromones.

**Circulatory system :** circulation of body fluids- blood and lymph, open and closed vascular systems, structure and working physiology of heart, comparison between arteries and veins, lymphatic system.

**Reproductive system :** histology, structure and organizations of different systems.

#### Unit 5 : Environment and Applied Biotechnology

Meaning of ecology, environment, habitat and niche. Ecological levels of organization (organism to biosphere); Characteristics of

Species, Population, Biotic Community and Ecosystem; Succession and Climax.

**Ecosystem –** Biotic and abiotic components; Ecological pyramids; Food chain and Food web; Energy flow; Major types of ecosystems

including agroecosystem.

**Ecological adaptations –** Structural and physiological features in plants and animals of aquatic and desert habitats.

**Biodiversity –** Meaning, types and conservation strategies (Biosphere reserves, National parks and Sanctuaries)

**Environmental Issues –** Air and Water Pollution (sources and major pollutants); Global warming and Climate change; Ozone depletion;

Noise pollution; Radioactive pollution; Methods of pollution control (including an idea of bioremediation); Deforestation; Extinction of species (Hot Spots).

Human population, population explosion, problems and control, test tube babies and amniocentesis. Adolescence and drug/alcohol abuse;

Plant Breeding and Tissue Culture in crop improvement.

Biofertilizers (green manure, symbiotic and free-living nitrogen- fixing microbes, mycorrhizae); Biofuels Microorganisms as pathogens of plant diseases with special reference to rust and smut of wheat, bacterial leaf blight of rice, late blight of potato, bean mosaic, and root - knot of vegetables. Poultry, fisheries (edible fishes).

## Paper– 2 (Aptitude test in M.B.A.)

#### Unit-1

**English :** This will consist of the Grammar, Comprehension, Antonyms, Synonyms and general usage.

#### Unit- 2

**Data Interpretation:** This will be in Graphical, Tabular and Pictorial form.

#### Unit- 3

**Reasoning :** This will be a mixture of verbal and non verbal aspects of reasoning.

#### Unit- 4

**Quantitative Aptitude:** This will test the quantitative aptitude of the Candidate.

#### Unit- 5

**General Knowledge:** This willl test the General Awareness regarding Current Affairs, Sports, Books, History, Geography & Science.

**Group Discussion (GD) :-** Qualified candidates of the written test will be required to appear for group discussion. They will be divided into groups and allocated a topic to discuss in presence of a panel. The candidate shall get credit for originality of ideas, initiative, general behaviour and communication skills.

**Personal Interview (PI) :-** The final step would be a Personal Interview (PI). This will be conducted by a panel of experts and will proceed like a normal interview does.

**Distribution Of Marks**

(i) Written 400 (ii) GD 100 (iii) PI 100

**Note :** The Group Discussion and Personal Interview shall be held on the same day.

## Paper –3 (Aptitude Test for B.Tech. -IInd Year) for Diploma Holders

Engineering Mechanics, Engineering Graphics, Basic Electrical Engg., Basic Electronics Engg., Elements of Computer Science, Basic Workshop Practice and Physics/Chemistry/Maths of Diploma standard English Language and General Knowledge.

## Paper–4 (Aptitude Test for B.Tech. IInd Year) for B.Sc. Graduates

#### Unit- 1

Differential Calculus : Successive differentiation, nth order derivate using Leibnitz theorem, Expansion of function for one variables and two variables by Maclaurin's and Taylor's theorem. Partial derivatives, maxima and minima, maxima and minima by Lagranges multiplier method.

Integral Calculus: Evaluation of definite integrals using standard formulae, Gamma and Beta functions, Dirichlet's integral, multiple integrals.

Vector Calculus : Gradient, divergence and curl, directional derivatives, line, surface and volume integrals, Gauss, Stoke's and Green’s theorem.

#### Unit-2

Matrix Theory : Matrix Algebra, Systems of linear equations, solution of linear system of homogeneous and non-homogeneous equations by matrix. Eigen values and eigen vectors. Cayley Hamilton theorem, complex matrices.

Probability And Statistics : Sampling theorems, Conditional probability, Mean, median, mode and standard deviation, Random variables, Discrete and continuous distributions, Poisson, Normal and Binomial distribution, Correlation and regression analysis.

#### Unit-3

Differential Equations : First order equation (linear and nonlinear), Higher order linear differential equations with constant coefficients,

Method of variation of parameters, Cauchy's differential equations, Initial and boundary value problems, linear partial differential equations with constant coefficients of 2nd order and their classifications and variable separable method.

#### Unit-4

Complex Variables : Analytic functions, Cauchy's integral theorem and integral formula, Taylor's and Laurent series, Residue theorem, contour integrals.

Fourier Series : Periodic functions, Trigonometric series, Fourier series of period 2p, Euler's formulae, functions having arbitrary period, Change of interval, Even and odd functions, Half range sine and cosine series.

#### Unit-5

Transform Theory : Laplace transform of derivatives and integrals, Inverse Laplace Transform, Laplace transform of periodic functions, Convolution theorem, Application to solve simple linear and simultaneous differential equations. Fourier integral, Fourier complex transform, Fourier sine and cosine transforms and applications to simple heat transfer equations. Z-transform and its application to solve difference equations.

## Paper 5 - Aptitude Test for B. Pharm. (IInd YEAR)

- Pharmaceutics-I
- Pharmaceutical Chemistry-I
- Pharmacognosy
- Biochemistry and Clinical Pathology
- Human Anatomy and Physiology
- Health Education & Community Pharmacy
- Pharmaceutics-II
- Pharmaceutical Chemistry-II
- Pharmacology and Toxicology
- Pharmaceutical Jurisprudence
- Drug Store and Business management
- Hospital and Clinical Pharmacy

## Paper 6 - Aptitude Test for Architecture

The test is in two parts. A paper based Aptitude Test counsisting of 50 objective type questions for one hour and a paper based Drawing Test

counseling of three questions for two hours. The test measures architectural aptitude of the candidate through two sections – aesthetic sensitivity and drawing.

### Part A : Aptitude Test

The Architecture Aptitude Test measures perception, imagination and observation, creativity and communication along with architectural awareness and comprises of –

- Visualizing three dimensional objects from two dimensional drawings.
- Visualizing different sides of three dimensional objects.
- Identifying commonly used materials and objects on their textural qualities.
- Analytical reasoning.
- Mental Ability (Visual and Numerical).
- Imaginative comprehension and expression.
- Architectural awareness of persons, places, buildings and materials.

### Part B : Drawing Test

The primary emphasis in scoring the drawing test is on the candidate's drawing, imagination and observation skills. The candidate's sense of proportion and perspective is also evaluated together with sense for colour composition.

The Drawing Aptitude Test is judged on the following aspects –

- Ability to sketch a given object proportionately and rendering the same in visually appealing manner.
- Visualizing and drawing the effects of light on the objects and shadows cast on surroundings.
- Sense of perspective drawing.
- Combining and composing given three dimensional elements to form a building or structural form.
- Creating interesting two dimensional compositions using given shapes and forms.
- Creating visual harmony using colours in given composition.
- Understanding of scale and proportions.
- Drawing from memory through pencil sketch on themes from day to day experiences (public space, market, festivals, street scenes, monuments, recreational spaces etc.)

**Note : **Candidates must bring their own pencils, geometry box set, erasers, colour pencils, sketch pens and crayons for the Drawing Test.

## Paper 7 - Syllabus for Diploma Engineering

### Physics

#### Unit-I

**General Properties of Matter :** Measurements, vectors, dynamics, mechanics (Laws of motion, moment and parallel forces), work energy and power, simple pendulum, gravitation, hydrostatics, Archimedes's principle., Newton's laws.

**Sound:** Vibration, types of waves and sound waves.

#### Unit-II

**Heat :** Molecular theory of matter, temperature scale, thermal expansion, thermal energy (joule, calories, specific heat and latent heat), thermal radiation, work and heat.

#### Unit-III

**Light :** Some facts related to light, reflection, reflection at spherical mirrors, refraction, refraction at thin lenses, human eye, optical instruments. (simple microscope, compound microscope), prism spectrum.

#### Unit-IV

**Electro Statics :** Electron model of electrification, charges, Coulomb's law. Current Electricity: Electric current, potential difference, electric cell, Ohm's law, specific resistance, series and parallel combination of resistances and cells, applications of electricity, House hold electricity.

#### Unit-V

**Electromagnetism :** Magnetic field, force on a moving charge, force on a current carrying conductor, Lorentz force, electromagnetic induction, Radioactivity.

### Chemistry

#### Unit – I

**General Chemistry :** Science and scientific method, matter and its states, atom, molecule law of chemical combination, basic concepts of atomic structure, valency, symbol, radical formula, chemical equations, chemical reactions, numerical problems.

#### Unit –II

**Physical Chemistry :** Radio activity and nuclear energy, gaseous law, Avogadro's hypothesis, equivalent weight, atomic weight and molecular weight, electrolysis, acid base and salt, catalysis and catalyst, solution, numerical problems.

#### Unit – III

**Inorganic Chemistry :** Classification of elements, periodic table, water and hardness of water, metal- non metal metallurgy of aluminum, inert gases.

#### Unit – IV

Method of preparation and properties of gases. Hydrogen, Nitrogen, Oxygen, Chlorine, Ammonia, Sulphur-dioxide, Hydrogen sulphide and hydrogen chloride.

#### Unit –V

**Organic Chemistry :** Classification of organic compounds, paraffin's and unsaturated hydrocarbons (ethylene and acetylene) methods of preparation and properties, important chemical compounds, plastics and detergents.

### Mathematics

#### Unit -1

**Simple Arithmatics :** Speed and time, work and time, compound interest.

#### Unit- 2

**Algebra :** Number system, laws of indices, logarithm, factors, LCM, HCF, Quadratic equations, principal of equations.

**Trigonometry :** Circular measure, circular functions angle of circular functions, trigonometric functions of sum and difference (C-D) of two angles, some other formulae on trigonometric functions, heights and distances.

#### Unit -3

**Statistics :** Central measure, mean, median, mode, mean deviation and standard deviation, measures of dispersion.

**Mensuration : **Cube, Cuboid prism, pyramid, cylinder, cone,sphere.

#### Unit -4

**Geometry :** Pythagoreas principle and its extension, theorems related triangle and circle, tangent to circle, locus, similarities of linear plane figures.

#### Unit – 5

**Coordinate Geometry :** Point (distance between two points, ratio formulae, centriod, area of triangle and quadrilateral) straight line (equations, angle between two lines, length of perpendicular, equations of parallel and perpendicular lines).

## Syllabus for MCA

### Part –I: Verbal Reasoning & Non Verbal Reasoning Verbal Reasoning

#### Non Verbal Reasoning

**General Mental Ability:** Series completion, Analogy, Classification, Coding- Decoding, Blood Relation, Puzzle Test, Sequential output tracing, Direction sense test, Logical Venn Diagram, Alphabet Test, Number, Ranking & Time test, Logical sequencing of words, Arithmetical Reasoning, Data Sufficiency.

**Logical Deduction:** Statements-Arguments, Statements-Assumption, Statements-Course of Action, Theme detection, Cause & effect reasoning,

#### Non Verbal Reasoning

Classification, Analytical Reasoning, Cube & Dice, Completion of incomplete patterns, Construction of sequence & triangles.

### Part –II: Mathematics

**Algebra:** Surds, solution of simultaneous and quadratic equations, arithmetic, geometric and harmonic progression, logarithms, exponential and logarithmic series, determinants.

**Probability:** Definition, dependent and independent events, numerical problems on addition and multiplication of probability, theorems of probability.

**Trigonometry:** Simple identities, trigonometric equations, properties of triangles, use of mathematical tables, solution of triangles, height and distance, inverse functions,

**Co-Ordinate Geometry:**Co-ordinate geometry of the straight lines, pair of straight lines, circle, parabola, ellipse and hyperbola and their properties.

**Calculus:**Differentiation of function of functions, tangents and normal, simple examples of maxima of minima, limits of function, integration of function.

**Vectors:** Position vector, addition and subtraction of vectors, scalar and vector products and their applications.

**Statistics:** Theory of probability, Mean, Median, Mode, Dispersion and Standard Deviation.

## Syllabus for MCA (Lateral Entry)

### Part –I:Verbal Reasoning & Non Verbal Reasoning

#### Verbal Reasoning

**General Mental Ability:** Series completion, Analogy, ClassiEcation, Coding- Decoding, Blood Relation, Puzzle Test, Sequential output tracing, Direction sense test, Logical Venn Diagram, Alphabet Test, Number, Ranking & Time test, Logical sequencing of words, Arithmetical Reasoning, Data Sufficiency.

**Logical Deduction:** Statements-Arguments, Statements-Assumption, Statements-Course of Action, eme detection, Cause & effect reasoning.

#### Non Verbal Reasoning

ClassiEcation, Analytical Reasoning, Cube & Dice, Completion of incomplete patterns, Construction of sequence & triangles.

### Part -II: ProEciency of Computers

**Computer Fundamentals:** History, Generation and Application of Computer, Number System, Input Output Devices, Memory Types.

**Discrete Mathematics:** Set eory, Relations, Functions, Lattices, eory of Groups, Boolean algebra, Recurrence Relations, Numeric Functions.

**Computer Networks:** Network Topology , Transmission Mode , OSI Model ,TCP/IP Protocol suite, Transmission Media , Multiplexing and Demultiplexing ,Error detection and correction ,IEEE 802.3 and 802.4 , Data Link Layer Protocol , Internet Address , Subnetting.

**Data Structure:** Stack, Link List and Queue, Tree Traversal,