GATE 2020 ME (ME2) – Previous Year Questions with Solutions
All 65 questions of GATE 2020 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 – While I agree his proposal this time, I do not often agree him.
- Question 2 – The recent measures to improve the output would the level of production to our satisfaction.
- Question 3 – Select the word that fits the analogy: White : Whitening :: Light : .
- Question 4 – “In one of the greatest innings ever seen in 142 years of Test history, Ben Stokes upped the tempo in a five-and-a-half hour long stay of 219 balls…
- Question 5 – A linear supply chain has five levels P → Q → R → S → T → Customers. At each level the product price increases by 25%. Production cost at P is…
- Question 6 – Climate change and resilience deal with two aspects: reduction of sources of non-renewable resources, and reduction of vulnerability to climate-change…
- Question 7 – Find the missing element in the figure.
- Question 8 – 52 men can complete a strip in a newly constructed highway connecting cities P and Q in 10 days. Due to an emergency, 12 men are sent to another…
- Question 9 – An engineer measures X, Y and Z. Their product XY varies linearly with Z as shown. Which statement is FALSE?
- Question 10 – The pie charts show all students and girls registered in university streams. There are 5000 students and 1500 girls. Find boys enrolled in Arts :…
- Question 11 – The sum of two normally distributed random variables X and Y is .
- Question 12 – A matrix P is decomposed into its symmetric part S and skew-symmetric part V. Given S=pmatrix-4&4&2\\4&3&7/2\\2&7/2&2pmatrix and…
- Question 13 – Let I= x=01 y=0x2xy2\,dy\,dx. Which expression also represents I?
- Question 14 – Find the Laplace s-domain solution of d2y/dt2-y=1, with y(0)=y(0)=0.
- Question 15 – A roller of weight W is pulled over a curb by a horizontal force F as shown. Static friction coefficient at the ground and step edge is μ. Select the…
- Question 16 – A circular disc of radius r rolls without slipping at contacts P and Q with two plates. The upper plate moves left at v and the lower right at 2v.…
- Question 17 – The spring–mass–damper equation is d2x/dt2+3\,dx/dt+9x=10(5t). Find its damping factor.
- Question 18 – How many qualitatively distinct kinematic inversions are possible for a Grashof chain with four revolute pairs?
- Question 19 – Which process uses a tapered horn to amplify and focus mechanical energy for machining glass?
- Question 20 – Two 6 mm thick plates are butt-welded. Select the processes in INCREASING order of heat-affected-zone size: 1: Arc welding; 2: MIG welding; 3: Laser…
- Question 21 – Which statement about a phase diagram is INCORRECT?
- Question 22 – The figure symbolically represents surface texture in a perpendicular lay orientation. I–VI mark specification positions. P: Maximum waviness height…
- Question 23 – In Materials Requirement Planning, inventory holding cost is very high and setup cost is zero. Which lot-sizing approach should be used?
- Question 24 – Which condition determines stable equilibrium of a partially submerged floating body?
- Question 25 – In the space above the mercury column of a barometer tube, the gauge pressure of vapour is .
- Question 26 – A closed vessel contains pure water in thermal equilibrium with its vapour at 25°C (Stage 1). It is placed in an isothermal oven with air at 80°C and…
- Question 27 – For an air-standard Diesel cycle, .
- Question 28 – In a hydraulic turbomachine stage, h₁ is enthalpy at stator inlet, h₂ at stator outlet (rotor inlet), and h₃ at rotor outlet. If h₂ − h₁ = h₃ − h₂,…
- Question 29 – Let I be the 100-dimensional identity matrix, and E the set of its distinct real eigenvalues (no value repeated). Find the number of elements in E.
- Question 30 – A negligible-mass beam is hinged at P and roller-supported at Q as shown. A 1200 N downward load acts at R. Find the reaction magnitude at Q (N).
- Question 31 – A machine member experiences fluctuating stress = 0(8 t). Material endurance limit is 350 MPa and design factor of safety 3.5. Find maximum allowable…
- Question 32 – A bolt head is formed at the end of a 12 mm diameter rod by localized upsetting. Unsupported rod length is 40 mm. To avoid buckling, find the maximum…
- Question 33 – The activity-on-node network labels activities A–L and shows their durations in hours alongside the nodes. Find the slack on activity L (hours).
- Question 34 – A furnace brick wall has k₁ = 2.5 W/(m·K), inner temperature 1100°C and outer/interface temperature 700°C. Insulation of conductivity k₂ covers it;…
- Question 35 – A reversed Carnot cycle operates between 27°C and −3°C. Find COP(refrigerator)/COP(heat pump), to two decimals.
- Question 36 – Find the directional derivative of f(x,y,z)=xyz at (−1,1,3) in the direction i-2 j+2 k.
- Question 37 – For f(z)=x3-3xy2+iv(x,y), with z=x+iy and i=-1, which v makes f analytic?
- Question 38 – A cantilever of length l and flexural rigidity EI is stiffened by a spring of stiffness k and loaded by transverse tip force P as shown. Find its…
- Question 39 – The sun S and planet P in the epicyclic gear train have identical tooth counts. If sun and outer ring R rotate in the same direction at angular speeds…
- Question 40 – A thin-walled cylinder of radius r and thickness t is open at both ends and fits snugly between rigid walls at ambient conditions. Material has…
- Question 41 – A helical spring has spring constant k. Wire diameter, spring diameter and number of coils are all doubled. Find the new spring constant.
- Question 42 – Rollers of diameters D₁ and D₂ (mm), D₁ > D₂, measure the internal taper angle in the same V-groove. A height gauge measures H₁ and H₂ (mm) after…
- Question 43 – Monthly forecasts for months 1, 2 and 3 are 32.00, 31.80 and 31.82 respectively; actual sales are 30.00, 32.00 and 30.00. Forecasts use exponential…
- Question 44 – One kg of air in a closed system undergoes an irreversible process from 1 bar absolute, 27°C to 3 bar absolute, 127°C. With R = 287 J/(kg·K) and…
- Question 45 – For 0/2(8+4 x)\,dx, find absolute percentage error of a trapezoidal-rule evaluation using only endpoints, to one decimal.
- Question 46 – A fair coin is tossed 20 times. Find probability that heads appear exactly 4 times in the first 10 tosses and tails exactly 4 times in the next 10…
- Question 47 – A hollow spherical ball of radius 20 cm floats in still water with half its volume submerged. Water density is 1000 kg/m³ and g = 10 m/s². Find…
- Question 48 – The uniaxial compression test graph is for a 1 m long solid metal bar. Response is linear from O to yield point P and nonlinear beyond P. The rod is…
- Question 49 – The flywheel turning-moment diagram is shown for a fictitious engine. Mean turning moment is 2000 N·m and average speed is 1000 rpm. For speed…
- Question 50 – A rigid 10 kg block at 2 m/s travels 1 m on a frictionless horizontal surface and strikes a stationary 30 kg block. They stick and travel another 0.25…
- Question 51 – A steel spur pinion has module m = 1.25 mm, 20 teeth, pressure angle 20°, speed 1200 rpm, face width F = 50 mm, Lewis factor Y = 0.322 and dynamic…
- Question 52 – A 1200 cm³ mould cavity fills through a 10 cm long sprue feeding a horizontal runner. Sprue base area is 2 cm². For g = 9.81 m/s² and negligible…
- Question 53 – A 200 mm diameter cylindrical bar is turned using ASA tool geometry 0°–9°–7°–8°–15°–30°–0.05 inch, giving cutting force F c1. Geometry changes to…
- Question 54 – Two identical shaping machines S₁ and S₂ operate with the same conditions except that S₂ workpiece width is 10% greater and feed 10% smaller. Find…
- Question 55 – Bars 250 mm long and 25 mm diameter are turned at feed 0.2 mm/rev. Each tool regrinding costs ₹20 and each tool change takes 1 minute. Tool life obeys…
- Question 56 – A CNC XY-stage moves from P(200,300) to Q(800,600) mm using rapid command G00. Two directly coupled stepper motors drive X and Y lead screws; each…
- Question 57 – Demand is continuous at 10000 units/year, replenishment instantaneous and backorders allowed. An order of Q units first clears backordered S units.…
- Question 58 – The nozzle carries steady incompressible inviscid air of density 1.23 kg/m³. Inlet area is 0.2 m²; outlet area 0.02 m², outlet speed 50 m/s and outlet…
- Question 59 – Water of density 1000 kg/m³ flows in an inclined constant-diameter pipe. At A, speed = 3.2 m/s, pressure = 186 kPa and elevation = 24.5 m; at B, speed…
- Question 60 – A blackbody at T₁ = 3000 K has peak spectral wavelength λₘₐₓ. It cools to T₂, where peak wavelength is 1.2λₘₐₓ. Find T₂ (K), nearest integer.
- Question 61 – Water flows through a 3 cm internal-diameter, 20 m long tube heated electrically with circumferentially and axially uniform heat flux. Inlet and…
- Question 62 – Air is in the shown frictionless piston-cylinder. Atmospheric pressure is 100 kPa, initial air pressure 105 kPa and piston area 300 cm². Heat is added…
- Question 63 – Moist air at 105 kPa, 30°C and 80% RH passes a cooling coil in an insulated air-conditioning duct. Saturated air exits at 100 kPa and 15°C. Water…
- Question 64 – Steam at 10 MPa, 500°C expands isentropically until saturated vapour, reheats at constant pressure to 500°C, then expands isentropically to 20 kPa.…
- Question 65 – Keeping all other parameters identical, an air-standard Diesel-cycle compression ratio increases from 15 to 21. Specific-heat ratio is 1.3 and cutoff…