GATE 2019 ME (ME2) – Previous Year Questions with Solutions
All 65 questions of GATE 2019 ME (ME2) with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – Once the team of analysts identify the problem, we in a better position to comment on the issue. Which choice CANNOT fill the blank?
- Question 2 – A final examination is the of a series of evaluations that a student has to go through.
- Question 3 – If IMHO = JNIP; IDK = JEL; and SO = TP, then IDC = .
- Question 4 – The product of three integers X, Y and Z is 192. Z equals 4 and P is the average of X and Y. What is the minimum possible value of P?
- Question 5 – Are there enough seats here? There are people here than I expected.
- Question 6 – Fiscal deficit was 4% of GDP in 2015 and increased to 5% in 2016. GDP increased by 10% from 2015 to 2016. Find the percentage increase in actual…
- Question 7 – P and Q fill a tank in 6 and 9 hours respectively; R empties it in 12 hours. Initially P and R are open for 4 hours. Then P is closed and Q is opened.…
- Question 8 – While teaching a creative writing class in India, I was surprised at receiving stories from the students that were all set in distant places: in the…
- Question 9 – Mola is a digital taxi platform offering Pool, Mini and Prime rides, earning one US dollar per ride. Counts for January, February, March and April…
- Question 10 – X is an online media provider. By offering unlimited and exclusive online content at attractive prices for a loyalty membership, X is almost forcing…
- Question 11 – In [A]\X\=\R\, A=bmatrix4&8&4\\8&16&-4\\4&-4&15bmatrix, X=bmatrix2\\1\\4bmatrix, R=bmatrix32\\16\\64bmatrix. Which is an eigenvalue of A?
- Question 12 – Find the directional derivative of f(x,y)=x2+y2 along the line directed from (0,0) to (1,1), evaluated at x = 1, y = 1.
- Question 13 – The differential equation dy/dx+4y=5 holds on 0 x1, with y(0) = 2.25. Find its solution.
- Question 14 – An analytic function of z=x+iy is f(z)=u(x,y)+iv(x,y). Which relations must u and v satisfy?
- Question 15 – A rigid equilateral triangular body PQR of unit side moves in a plane. At the shown instant QR is parallel to the x-axis, and P and R have velocities…
- Question 16 – A linear elastic rectangular thin metal sheet has uniform uniaxial tension 100 MPa along its length. Assume plane stress normal to thickness. With E =…
- Question 17 – A spur gear has pitch-circle diameter D and T teeth. Find its circular pitch.
- Question 18 – The endurance limit of a beam under pure bending decreases with which combination?
- Question 19 – A two-dimensional incompressible frictionless flow has u=x i-y j. With fluid density ρ, find its pressure-gradient vector.
- Question 20 – Sphere 1 of diameter 0.1 m is completely enclosed by sphere 2 of diameter 0.4 m. Find view factor F 12.
- Question 21 – One-dimensional steady heat conduction occurs through a solid whose area varies linearly in the heat-flow direction. There is no heat generation and…
- Question 22 – For a simple compressible system with specific volume v, specific entropy s, pressure p and temperature T, which equals ( v/ s) p by Maxwell’s…
- Question 23 – Which modification of the simple ideal Rankine cycle increases efficiency and reduces turbine-outlet steam moisture?
- Question 24 – Hardenability of steel measures .
- Question 25 – Fluidity of molten cast alloys, without flux addition, increases with increased .
- Question 26 – Which cold-forming process presses a hardened tool against a relatively moving workpiece to produce a rough surface with a regular pattern?
- Question 27 – Which is the most common limit gauge for inspecting hole diameters?
- Question 28 – Find the transformation matrix reflecting a point in the xy-plane about y = x.
- Question 29 – If x is the mean of 3, x, 2 and 4, find their mode.
- Question 30 – The shown idealized plane truss carries a horizontal 300 N load at A. Find force magnitude in member CD (N).
- Question 31 – A point’s stress state has a Mohr circle of radius 100 MPa centered at 200 MPa on the normal-stress axis. On a plane through the point, normal stress…
- Question 32 – A circular wire of diameter 1.0 mm is bent into a circular arc of radius 1.0 m by pure end bending moments. Young’s modulus is 100 GPa. Find maximum…
- Question 33 – Water enters a 5.0 m long, 0.20 m diameter pipe at Reynolds number 500. Its velocity profile is uniform at inlet and parabolic at exit. Find exit…
- Question 34 – A thin vertical plate has height L and infinite width normal to the figure. It loses heat by natural convection. Plate and surrounding temperatures…
- Question 35 – In electrical discharge machining, inter-electrode-gap breakdown voltage is 200 V and the RC-circuit capacitance is 50 μF. Find energy released per…
- Question 36 – For u=(-y3 i+x3 j+z3 k)/3, find S( u) n\,dS over the curved upper unit hemisphere x2+y2+z2=1, z0, with outward unit normal.
- Question 37 – Solve x2y-2xy+2y=4 in arbitrary constants C 1,C 2.
- Question 38 – Estimate the derivative of f(x)= x by f(x)[f(x+h)-f(x-h)]/(2h). Percentage error is [(exact − approximate)/exact] × 100. At x=/6 rad and h = 0.1 rad,…
- Question 39 – A 3 kg ball moving at 4 m/s makes a perfectly elastic direct central impact with a stationary ball of mass m. Its kinetic energy after impact is 6 J.…
- Question 40 – Two concentric cylinders M and N contact at r = b. The interface is frictionless and the composite is loaded by internal pressure P. Let u r,u and rr,…
- Question 41 – The prismatic straight elastic cantilever shown has triangular transverse load, q at the fixed end and zero at the free end. With length L, Young’s…
- Question 42 – The slender uniform rigid bar of mass m is hinged at O and supported by springs 3k and k and damper c as shown. Find c/km for critical damping.
- Question 43 – The shown heat engine operates between two reservoirs and rejects heat Q 2, all drawn by a heat pump. The pump receives the engine’s entire work W.…
- Question 44 – The binary phase diagram of P and Q is shown. Alloy X contains 60 wt% P and 40 wt% Q and cools from liquid to solid. Find solid and liquid weight…
- Question 45 – Activities, durations (weeks) and immediate successors are: A: 5, B/C/D; B: 7, E/F/G; C: 10, I; D: 6, G; E: 3, H; F: 9, I; G: 7, I; H: 4, I; I: 2,…
- Question 46 – The shown slider-crank rotates counterclockwise at constant angular speed ω. Crank length is r. By exact analysis, find slider acceleration in the…
- Question 47 – The horizontal circular-section cantilever shown has length 1.0 m, flexural rigidity 200 N·m² and applied end moment 1.0 N·m. Find free-end vertical…
- Question 48 – Masses A and B are rigidly attached to a shaft rotating about O normal to the figure. Their radii OA and OB are at 90°. With mA = 10 kg, mB = 20 kg,…
- Question 49 – The shown four-bar has O 2O 4=O 2A=L and AB=O 4B=2L. Input link 2 rotates anticlockwise at constant 2. At the instant it makes 90° with O 2O 4, find…
- Question 50 – A manufactured part is defective with probability 0.05. If 15 parts are independently selected at random, find probability of at least two defects, to…
- Question 51 – A uniform disk of radius r and mass m is mounted centrally on a negligible-mass horizontal axle of length 1.5r. It spins counterclockwise at ω viewed…
- Question 52 – The shown short-shoe external drum brake has drum diameter 500 mm and dimensions a = 1000 mm, b = 500 mm, c = 200 mm. Friction coefficient is 0.35.…
- Question 53 – Water flows through equal-circular-section pipes A and B of lengths 1.0 and 2.0 m respectively. Both flows are laminar and fully developed. Their…
- Question 54 – A sports car has drag coefficient 0.1 with windows and roof closed, and 0.8 with them open. Closed, it travels at 44 km/h. Find open-condition speed…
- Question 55 – Three pairs of parallel plates LM, NR and PQ are shown. View factor F IJ is the fraction of radiation leaving I intercepted by J. Given F LM=0.8 and F…
- Question 56 – A parallel-flow double-tube exchanger receives hot and cold fluids at 100°C and 15°C. Heat-capacity rates are 2000 and 1200 W/K respectively. Cold…
- Question 57 – Water flows at 1 kg/s through an electric heater, gaining specific enthalpy 2.50 kJ/kg and specific entropy 0.007 kJ/(kg·K). Electrical input is 2.50…
- Question 58 – An idealized centrifugal pump has blade outer radius 50 mm, consumes 2 kW and runs at 3000 rpm. Liquid enters axially and exits radially with respect…
- Question 59 – An air-standard Otto cycle has efficiency 0.5 and mean effective pressure 1000 kPa. For air, γ = 1.4 and R = 0.287 kJ/(kg·K). At compression start p =…
- Question 60 – The shown metal-block pouring arrangement has negligible friction. With g = 9.81 m/s², find time to fill the 40 cm × 30 cm × 15 cm mould cavity (s),…
- Question 61 – Gas tungsten arc welding uses 250 A, 20 V and travel speed 5 mm/s. Arc efficiency is 70%. Find net heat input per weld length (kJ/mm), to one decimal…
- Question 62 – A sheet is rolled with no width change using 600 mm diameter rolls. Neglect elastic roll deflection; friction coefficient is 0.05. It enters unaided…
- Question 63 – A 10 mm drill cuts a through-hole in a 15 mm thick aluminium-alloy plate at feed 0.25 mm/rev and 1200 rpm. Specific cutting energy is 0.7 N·m/mm³.…
- Question 64 – Orthogonal cutting with a single-point tool of rake 10° produces uncut and chip thicknesses 0.125 and 0.22 mm. By Merchant’s first solution for…
- Question 65 – Annual valve demand is 10000 units. Current order size is 400, annual holding cost Rs 24 per valve and ordering cost Rs 400 per order. Find annual…