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Re: Last year question papers of B.Tech 2nd year admission in LEET
As you want to get the last year question papers of B.Tech 2nd year admission in LEET so here it is for you: About four hundred years ago, many people believed that they lived on stationary earth, which itself is situated at the centre of the universe. The world beyond the solar system was a mystery to all. The submicroscopic domain of atoms and molecules was completely unknown. Not even a single law of nature was accurately formulated. The Copernican theory of the solar system (the theory in which the sun occupies the central position) had been published but it had so many objections against it. There was scarcely any activity that could be called as Science. Mathematics was just in its infancy. 1. Four hundred years ago, the popular belief was that _______________ A) there was a world beyond the solar system B) the law of nature was not accurate C) the earth was fixed D) there was no technology 2. There was scarcely any activity called Science means ____________ A) Scientific knowledge was inadequate B) Copernican theory was objected C) They lived on stationary earth D) Law of nature was accurate 3. The opposite of accurate is A) exact B) inaccurate C) disaccurate D) unaccurate 4. Beyond means A) on the farther side B) domain of atoms C) at the centre D) a mystery 5. Infancy is used in the sense of A) childhood B) adolescence C) inactivity D) beginning to deve Choose the appropriate words 6. One should discharge __________ duty. A) one’s B) his C) their D) our 7. ________ you drive a car ? A) Can B) Should C) Would D) May 8. Identify the wrong section All the furnitures were loaded. A) All the B) furnitures C) were D) loaded 9. The teacher said that the earth was round. A) The teacher B) said that C) the earth D) was round 10. Complete the proverb : Make hay while __________ A) the sun shines B) there is no rain C) there is time D) there is hay MATHEMATICS SYLLABUS Matrices: Inverse of a MatrixLinear Dependence and Independence of VectorsConsistency and inconsistency of a system of linear equationsRank of a matrix. Eigen Values and Eigen Vectors Properties CaylayHamilton TheoriesDiagonalisationQuadratic forms Reduction to Canonical forms. Differential Calculus: Successive DifferentiationLeibnitz TheoremIndeterminate formsL' Hospital's RuleRadius of curvaturecentre of curvatureEvolutes Partial DifferentiationHomogeneous functions Euler's TheoremMaxima and minima of functions of two variables. Infinite Series: Notions of Convergence and DivergenceComparison testRatio testRaabe's testCauchy's Root testTest for alternating seriesabsolute convergence. Fourier Series: Even functions, odd functions, periodic functionsDirichelet's conditionEuler’s formula. Functions with period 2 and 2L. Half range sine and cosine series. Laplace transforms PropertiesInverse Transforms. SAMPLE QUESTIONS 1. If A and B are two square matrices of the same order, then (A+B)2 is A) A2 – AB + BA + B2 B) A2 + AB + BA + B2 C) A2 – AB – BA + B2 D) A2 + AB – BA + B2 2. If 2 –1 4 is a singular matrix then x is x 0 1 1 2 0 A) 5/4 B) –5/8 C) 8/5 D) 5/8 3. Adjoint of the matrix 1 2 1 is 3 2 2 1 1 2 A) 2 –4 1 B) 2 –3 2 –3 1 1 –4 1 1 2 1 –4 1 1 –4 C) 2 1 D) 2 2 1 1 0 1 2 2 1 3 1 4. Inverse of the matrix 2 3 is 2 5 A) –2 3 B) 5 2 2 –5 3 2 C) 5 –3 D) 2 –3 –2 2 –2 5 5. Rank of the matrix 1 0 1 is 0 2 2 2 3 4 A) 2 B) 0 C) 3 D) 1 6. The equation AX = B is consistent if rank of the coefficient matrix and augmented matrix are A) equal B) not equal C) 1 D) none of these 7. The characteristic equation of the matrix 5 4 is 1 2 A) 2 +7 + 6 = 0 B) 2 + 6 + 6 = 0 C) 2 – 7 + 6 = 0 D) 2 + 6 + 7 = 0 8. The second derivative of bsin3 with respect to a cos3 is A) bcosec B) bcosec sec4 3a2sec4 3a2 C) bsec4 D) bsec4 3a2 3a2cosec 9. The nth derivative of x sin x with respect to x is A) x cos x B) x sin x (x + (n )/2) + sin (x+(n–1) /2) C) x sin (x+n /2) + n sin (x+(n–1) /2) D) x cos n /2 10. lim x2 – 3x is x 3 x2–9 A) 3 B) 6 C) 1/3 D) ½ 11. Radius curvature of the parabola y2 = 4ax at (at2, 2at) is A) 2a(1+t2)3/2 B) a(1+t)3/2 C) 2(1+t2)3/2 D) 2a(1+t2)3/2 t t2 12. The maximum value of the function 2+2x+2y–x2–y2 is A) 2 B) 1 C) 3 D) 4 13. The partial derivative of ax2+2hxy+by2 with respect to x is A) 2ax + 2by B) 2ax + 2hy C) ax2+ 2hx D) 2hx + 2by 14. If f(x,y) is a homogeneous function of degree n, possessing continuous partial derivatives of first order then A) x + y = nf B) x + y = n2f2 f x 15. The series 1 – 1 + 1 – 1 + ………. is A) convergent B) divergent C) oscillatory D) none of these 16. The series 1/np is convergent if p is A) greater than one B) equal to one C) less than one D) equal to zero 17. An absolutely converging series is A) divergent B) conditionally convergent C) convergent D) oscillatory 18. Cosx is x2 – x A) periodic function B) even function C) odd function D) none of these 19. 1 + 1/22 + 1/32 + 1/42 + …………… is A) 2/6 B) 2 2/3 C) /6 D) /8 20. The Laplace transform of eat is A) 1/(s+a) B) s/(s2+a2) C) 1/(s–a) D) a/(s2+a2) ENGINEERING MECHANICS SYLLABUS UnitsDimensionsVector & scalar quantitiesLaws of mechanicsElements of vector algebra Principles of StaticsFreebody diagramComposition & resolution of forcesResultant of & equilibrant – Concurrent forcesTringular forces Lami’s theorem Centre of gravity Moment of inertiaCoplannar forcesFriction. Plane trussesDifferent types of supportReactions at supportsMethod of jointsMethod of sections Funicular polygonMaxwell diagramCouples in spaceEquilibrium of general system of forces in space. Kinematics of a particleSimple relative motionDefinition of particleVelocity and accelerationtranslation and rotationRectangular and cylindrical coordinatesparticle dynamicsCentral force motion. Principles of dynamicsMotion of a particle acted by a constant forceForce as a function of time Force proportional to displacementFree vibrationsD’ Alemberts principleMomentum and impulseWork and energyIdeal systemConservation of energyImpactCurvilinear motion ProjectilesRotation – Torsional vibrationSimple and compound pendulumCollision of bodies. SAMPLE QUESTIONS 1. The force acting on a point on the surface of a rigid body may be considered to act A) at the center of gravity of the body B) on the periphery of the body C) on any point on the line of action of the force D) at any point on the surface normal to the line of action of the force 2. If the resultant of two forces P and Q acting at an angle makes an angle with P, then tan equals A) (P sin ) / (PQ cos ) B) (Q sin ) / (P + Q cos ) C) (P sin ) / (P+Q tan ) D) (Q sin ) / (Q + P sin ) 3. A point subjected to a number of forces will be in equilibrium, if A) sum of resolved parts in any two directions at right angles, are both zero B) algebraic sum of the forces is zero C) two resolved parts in any two directions at right angles are equal D) algebraic sum of the moments of the forces about the point is zero 4. The forces which meet at one point and have their lines of action in different planes are called A) coplanar nonconcurrent force B) noncoplanar concurrent forces C) noncoplanar noncurrent forces D) intersecting forces 5. The center of gravity of a quadrant of a circle lies along its central radius at a distance of A) 0.2 R B) 0.3 R C) 0.4 R D) 0.6 R 6. The C.G. of a right circular cone ties on its axis of symmetry at a height of A) h/2 B) h/3 C) h/4 D) h/6 7. The units of inertia of mass, are A) kg/m B) kg/m2 C) m4 D) m3 8. Moment of inertia of a square of side b about an axis through its center of gravity, is A) b3/4 B) b4 /12 C) b4/ 3 D) b4/8 9. The moment of inertia of a thin spherical shell, is A) Mr4/2 B) Mr2 C) 2/3Mr2 D) 2/5Mr2 10. The angle of friction is: A) The ratio of the friction and the normal reaction B) The force of friction when the body is in motion C) The angle between the normal reaction and the resultant of normal reaction and limiting friction D) The force of friction at which the body is just about to move 11. The following is not a law of static friction: A) The force of friction always acts in a direction opposite to that in which the body tends to move B) The force of friction is dependent upon the area of contact C) The force of friction depends upon the roughness of the surface D) The magnitude of the limiting friction bears a constant ratio to the normal reaction between two surfaces 12. Which one of the following statements is true? A) The tangent of the angle of friction is equal to coefficient of friction B) The angle of repose is equal to angle of friction C) The tangent of the angle of repose is equal to coefficient of friction D) All the above 13. Equation of motion of a point in a straight line, is A) v = u + ft B) S = ut + ½ ft 2 C) 2fs = v 2 – u 2 D) all the above 14. A particle move along a straight line such that distance x traversed in t seconds is given by x = t 2(t + 1), the acceleration of the particle, will be A) 3t3 – 2t B) 3t3 + 2t C) 6t – 2 D) 6t + 2 15. Time of flight of a projectile on a horizontal plane, is A) 2u sin /g B) 2u cos /g C) 2u tan /g D) 2u cot /g COMPUTER SCIENCE AND INFORMATION TECHNOLOGY SYLLABUS 1. Computer organization: Central processing unit, memory, input devices, output devices, secondary storage devices, machine language, assembly language and high level language. 2. System software: Assembler, loader, linker, operating systems, editors, compilers, debuggers. 3. Computer programming (in C language): Data types, type conversion, simple and compound statements, usage of standard library, control structures, functions, arrays, pointers, structure, file handling. 4. Data base systems: Relational Data Base Management Systems, SQL. 5. MultimediaMultimedia hardware, sound cards, CD ROMS, full motion Digital video. 6. Computer networks: ISO/OSI protocols, TCP/IP, Inter connecting network devices, Ethernet cards, cables, Connectors, hubs, switches, routers. 7. Internet: Introduction to FTP, TELNET, Email, web browsers and Web servers. SAMPLE QUESTIONS 1. The larger the RAM of a computer, the faster is its speed, since it eliminates A) need for ROM B) need for external memory C) frequent disk I/Os D) need for a datawide path 2. Which of the following is an example of a spooled device? A) A line printer used to print the o/p of a number of jobs B) A terminal used to enter input data to a running program C) A secondary storage device in a virtual memory system D) A graphical display device 3. UNIX operating system A) is multiuser B) is multi tasking C) can run on PC’s and larger systems D) all the above 4. The errors that can be pointed out by the compiler are A) Syntax errors B) Semantic errors C) Logical errors D) Internal errors 5. Which of the following is not a multi user operating system? A) MSDOS B) Linux C) Windows 2000 D) Unix 6. How many times will the following loop be executed? X=500; While (x<=500) { x=x600; if (x<0) break; } A) 0 B) 1 C) 500 D) 100 7. The function sprintf ( ) works like printf ( ) but operates on A) data in a file B) stderr C) stdin D) string 8. An indexing operation A) sorts a file using a single key B) sorts a file using two keys C) establishes an index for a file D) both B and C above 9. Which of the following is a database administrator’s function? A) backing up the database B) performance monitoring C) user coordination D) all of the above 10. One of the following are not true for a sound card? A) MIDI compatible B) Microphone input C) Built in amplifier D) Built in power supply 11. What is the greatest accomplishment of MPEG 2 ? A) improves the prediction of motion B) uses multiple channels in a single stream of data C) has built in data recovery D) MPEG 2 uses field oriented syntax 12. A hub in a network is A) a multiport signal repeater or concentrator B) multiplug like device to allow many computers to be connected C) the server which serves every node D) the central power supply 13. Which of the following performs modulation and demodulation? A) fiber optic B) satellite C) coaxial cable D) modem 14. What is the established standard for transferring mail over Internet? A) SMTP B) TCP C) IP D) HTTP 15. One of the following cannot be configured in a web server? A) server port B) log file name C) server root D) IP address of proxy server BASIC CIVIL ENGINEERING SYLLABUS Materialscementsteelaggregatesmortar preparationconcretegrades of concretewatercement ratioWorkabilitybatchingMixingCompactionCuringStrengths in concreteTimberDefects of timberSeasoningBricksVarieties. Selection of site of a building –Setting outExcavation – Types of foundationBearing capacitymasonry Materials – Types –Stone MasonryBrick masonryBond in brickSpecial bricksArches Cavity walls –Hollow blockPlasteringPainting. DoorsWindowsFlooring –Preparation of bedLaying floor finishVarious floor finish materials RoofsDifferent typesRoof covering materialsPrecast and prestressed construction. Methods of surveyingChainCompassPlane table –Theodolite Areal  Hydrographic Measurement of distanceelementary idea of total stationErrors in chaining –Tape correction Setting out right anglesLeveling –Types of levelsReduction of level Computation of area and volumeTrapezoidal and Simpson’s rule. SAMPLE QUESTIONS 1. The standard size of a masonry brick, is A) 18cm x 8cm x 8cm B) 19cm x 9cm x 9cm C) 20cm x 10cm x 10cm D) 21cm x 11cm x 11cm 2. The portion of the brick without a triangular corner equal to half the width and half the length, is called A) closer B) queen closer C) king closer D) squint brick 3. Good quality cement contains higher percentage of A) Tricalcium silicate B) Dicalcium silicate C) Tricalcium aluminate D) Tetra calcium alumino ferrite 4. Veneering means A) carving out designs on timber planks B) chemically treating timber planks C) thick layer of superior wood glued to inferior wood D) thin layer of superior wood glued to inferior wood 5. Pick up the incorrect statement from the following A) The function of foundation is to distribute the load of super structure over a large bearing area B) No timbering is required for shallow trenches C) Shallow foundations can be constructed on madeup soil D) Black cotton soil is very good for foundation bed 6. Dampness causes A) efflorescence B) bleaching of paints C) crumbling of plaster D) growth of termites 7. The brick laid with its breadth parallel to the face of a wall, is known as A) header B) stretcher C) closer D) none of these 8. The type of bond in a brick masonry containing alternate courses of stretchers and headers, is called A) Flemish bond B) English bond C) Stretcher bond D) Header bond 9. The curvature of the earth’s surface, is taken into account only if the extent of survey is more than A) 100 sq km B) 160 sq km C) 200 sq km D) 260 sq km 20 10. The main principle of surveying is to work A) from part to the whole B) from whole to the part C) from higher level to the lower level D) from lower level to higher level 11. Correct distance obtained by an erroneous chain is: A) (Erroneous chain length x Observed distance) / Correct chain length B) (Correct chain length x Observed distance) / Erroneous chain length C) (Correct chain length x Erroneous chain length) / Observed distance D) None of these 12. In chain surveying a tie line is primarily provided A) to check the accuracy of the survey B) to take offsets for detail survey C) to avoid long offsets from chin lines D) to increase the number of chain lines 13. Determining the difference in elevation between two points on the surface of the earth, is known as A) leveling B) simple leveling C) differential leveling D) longitudinal leveling 14. An imaginary line joining the points of equal elevation on the surface of the earth, represents A) contour surface B) contour gradient C) contour line D) level line 15. The contour interval is kept inversely proportional to A) time and expense of field work B) steepness of the configuration of the area C) scale of the map D) all the above MECHANICAL ENGINEERING SYLLABUS Thermodynamics : Definitions and basic concepts system, properties, state, process, cycle – heat and work – thermodynamic equilibrium. Zeroth law of thermodynamics – concept of temperature – temperature scales. First law of thermodynamics – concepts of internal energy and enthalpy. Second law of thermodynamics Clausius and Kelvin –Plank statements concept reversibility, availability and entropy. Thermodynamic processesconstant volume, constant pressure, isothermal, adiabatic, polytropic processes, throttling and free expansion, pv and Ts diagrams work done, heat exchanged, change in internal energy and change in entropy during the above processes. Air cycles – Carnot, Otto and Diesel cycles air standard efficiency. IC engines: Working and comparison of two stroke and four stroke petrol and diesel engines – various systems – air system, fuel system, ignition system, governing system. Steam Boilers and Turbines: Properties of steam dryness fraction, enthalpy, entropy. Classification of boilers, Boiler mountings and accessories. Types of steam turbines simple impulse and reaction type  parts of turbines, compounding of turbines. Pumps: Types  centrifugal, reciprocating, gear and jet – applications – criteria for choice of pumps. Refrigeration and Air Conditioning: Simple vapour compression and vapour absorption refrigeration systems  Refrigerants. Psychrometry – definitions of terms. Air conditioning – parts of an A/C unit. Mechanical power transmission systems: Belt drive parts, different types rope drive, chain drive types, gear drives – types –spur, helical, herring bone, bevel, spiral, skew, hypoid, worm and wheel, rack and pinion. Velocity ratio, comparison and fields of application. Gear trainssimple, compound and epicyclic. Manufacturing processes: Primary, secondary and tertiary production processes  moulding, sand casting, die casting, forging, punching, blanking, stamping, coining, rolling, extrusion, wire drawing, turning, boring, thread cutting, tapping, shaping, drilling, milling, reaming, grinding, broaching, honing, lapping, welding, soldering and brazing. SAMPLE QUESTIONS 1. The law which forms the basis of temperature measurement A) First law of thermodynamics B) Zeroth Law of thermodynamics C) Second law of thermodynamics D) Boyle’s law 2. The maximum possible thermal efficiency of a heat engine working between 27 oC and 627 oC is A) 100 % B) 95.69 % C) 66.67 % D) 45 % 3. For an irreversible process, A) Change in entropy < T Q B) Change in entropy > T Q C) Change in entropy = T Q D) Change in entropy = 0 4. Work done during isothermal process is given by A) W = P1V1 log (V2 / V1 ) B) W = P1V1 loge (V2 / V1 ) C) W = 0 D) W = ( P1V1  P2V2 )/ (  1) 5. A Diesel Cycle consists of the following process A) Two constant volume and two adiabatic processes B) Two constant pressure and two adiabatic processes C) Two adiabatic, a constant volume and a constant pressure processes D) Two adiabatic and two isothermal processes 6. In a petrol engine, the unit which mixes fuel with air is called A) cylinder B) carburetor C) radiator D) crank shaft 7. During a throttling process the _____________ remains constant A) pressure B) temperature C) internal Energy D) enthalpy 8. 1.25 kg of wet steam contains 0.25 kg of water in suspension. Dryness fraction of the steam is A) 1.25 B) 0.80 C) 0.75 D) 0.25 9. The heat required to convert water at boiling point to dry steam at same temperature is A) sensible heat B) latent heat of vapourisation C) specific heat D) latent heat of fusion 10. One ton refrigeration refers to A) Total weight of the unit B) Heat removal rate equivalent to latent heat of fusion of 1 ton of ice at 0 oC in 24 hours C) Heat removal rate equivalent to latent heat of fusion of 1 ton of ice at 0 oC in 1 hour D) Heat removal rate equivalent to latent heat of fusion of 1 ton of ice at 0 oC in 1 second 11. The top part of a two part moulding box is called A) cope B) drag C) runner D) gate 12. The forging process used for increasing the diameter of a bar by reducing its length is termed as A) blanking B) bending C) upsetting D) roll forging 13. The maximum suction head in a centrifugal pump is A) unlimited B) between 20 m and 100 m of water C) between 5 m and 10 m of water D) between 1 m and 5 m of water 14. When the axes of rotation of shafts intersect each other, the type of gears used are A) Bevel B) Spur C) Helical D) Worm and wheel 23 15. The cross section of V belt is A) triangular B) rectangular C) trapezoidal D) circular BASIC ELECTRICAL ENGINEERING SYLLABUS SI unit of current, voltage, power and energyOhm’s lawtemperature coefficient of resistance Kirchoffs lawssolution of series, parallel circuitsStar Delta transformationmagnetic circuitsfluxflux densitymmfmagnetizing force Reluctancepermeabilitycomparison of Electric and Magnetic circuitsMagnetic leakageB.H.characteristicssolution of series and parallel magnetic circuitsforce experienced by a current carrying conductor in a magnetic fieldElectromagnetic induction Faraday’s lawsLenz’s Lawstatically induced emfDynamically induced emfself and mutual inductioncoefficient of coupling. Alternating current fundamentalsGeneration of alternating currentswave formsfrequencyperiodaverage valuerms value and form factor. Phasor representation of alternating quantities rectangular and polar formAnalysis of simple ac circuits with resistance inductance and capacitanceconcept of impedance and admittancepower and power factor in ac circuitsactive and reactive componentssolution of RL, RC and RLC circuitsseries, parallel and series parallel circuitsResonanceQ factorselectivity and bandwidth. Electrical Drivesprinciple of operation of ac and dc motorsmechanical characteristics and application of dc series, shunt and compound motorssingle phase and three phase induction motorssynchronous motorsTransformerPrinciple of operationemf equationIdeal transformerconstructional detailslosser and efficiencyUse of power, distribution and instrument transformers. Different methods of wiring for LT installations, Schematic layout of LT switch boardsEarthing of installationnecessity of earthingplate and pipe earthingProtective fuses, MCBs, ELCBTariffs Types of LT and HT consumers. Characteristics of different types of lampsvapour lampsincandescent lampsenergy efficient lampscontrol accessories of vapour lamps. Storage batteriesLead acid and Nickel Cadmium batteriesconstructioncharacteristicscharging and dischargingspecificationmaintenance. Methods of bulk generation of electric power, Block schematic layout of generating stationhydro electric, thermal, nuclear stationsNon conventional energy sourcessolar, tidal, windEconomics of generationload factordiversity factorplant factor. Bulk transmission of electric powertypical power transmission schemeneed for high transmission voltagesubstationsubstation equipment, primary and secondary transmission and distribution systemseffect of power factor, transmission voltages in Kerala. SAMPLE QUESTIONS 1. Highest Transmission Voltage in Kerala is A) 66Kv B) 400Kv C) 220Kv D) 1000Kv 2. The light source with light quality nearest to natural sun light A) Mercury vapour lamp B) Sodium vapour lamp C) Fluorescent lamp D) Incandescent lamp 3. The electric motor which provides the highest starting torque A) DC series motor B) DC shunt motor C) 3Q induction motor D) Single phase induction motor 4. The resistance R of a conductor is inversely proportional to A) Resistivity B) Length C) Temperature D) Area of section 5. The equivalent resistance of resistors in parallel is always A) Higher than the highest of component resistors B) Less than the lowest of component resistors C) In between the lowest and the highest of component resistors D) Equal to the sum of the component resistors 6. A resistor R1 dissipates power P when connected to a certain generator with voltage V. If a resistance R2 is put in series with R1 the power dissipation by R1 A) decreases B) increases C) remains the same D) any of the above depending upon the value of R1 and R2 7. Two free parallel wires carrying currents in the opposite directions A) attract each other B) repel each other C) do not affect each other D) get rotated to be perpendicular to each other 8. An induced emf is produced when a magret is plunged into a coil. The strength of the induced emf is independent of A) the strength of the magnet B) number of turns of coil C) the resistivity of the wire of the coil D) the speed with which the magnet is moved 9. In a step up transformer the number of turns in A) primary are less B) primary are more C) primary and secondary are equal D) primary are infinite 10. The core of a Transformer is laminated to reduce energy loss due to A) eddy currents B) hysteresis C) resistance in cording D) none of these 11. The frequency of AC mains in India is A) 30 Hz B) 50 Hz C) 60 Hz D) 100 Hz 12. In a circuit containing capacitance only A) Current lags behind emf by /2 B) Current leads emf by /2 C) Both are in phase D) Current leads emf by 13. The power factor is unity for A) pure inductor B) pure capacitor C) pure resistor D) either an inductor or a capacitor 14. In a balanced 3 phase circuit the current in the neutral conductor is A) equal to phase current B) equal to line current C) 2 times line current D) zero 15. ELCB gives protection against A) over voltage B) over current C) leakage current to ground D) under voltage 
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Re: Last year question papers of B.Tech 2nd year admission in LEET
Here I am providing the information regarding the Punjab University Lateral Entry Entrance Test Exam Question Paper for your idea . There are total 75 questions in the paper . All are objective type questions . Applicants have to choose one among four options . Punjab University Lateral Entry Entrance Test exam paper 
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