GATE 2020 ME (ME1) – Previous Year Questions with Solutions
All 65 questions of GATE 2020 ME (ME1) with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – He is known for his unscrupulous ways. He always sheds tears to deceive people.
- Question 2 – Jofra Archer, the England fast bowler, is than accurate.
- Question 3 – Select the word that fits the analogy: Build : Building :: Grow : .
- Question 4 – “I do not think you know the case well enough to have opinions. Having said that, I agree with your other point.” What does “having said that” mean in…
- Question 5 – Define [x] as the greatest integer less than or equal to x, for each x(-,). If y=[x], find the area under y for x[1,4].
- Question 6 – Crowd funding deals with mobilisation of funds for a project from a large number of people, who would be willing to invest smaller amounts through…
- Question 7 – P, Q, R and S are to be uniquely coded using and . If P is coded and Q is coded , then R and S, respectively, can be coded as .
- Question 8 – Find the sum of the first n terms in the sequence 8, 88, 888, 8888, ….
- Question 9 – Select the graph that schematically represents BOTH y=xm and y=x1/m properly in 0 x1, for integral m > 1. The choices are arranged A, B in the top row…
- Question 10 – The bar graph shows students who appeared and passed in an examination for schools P, Q, R and S. Find the average success rate (percentage) of the…
- Question 11 – Multiplication of real-valued square matrices of the same dimension is .
- Question 12 – Evaluate x11-e-c(1-x)1-xe-c(1-x).
- Question 13 – The Laplace transform of f(t) is L(f)=1/(s2+2). Find f(t).
- Question 14 – Which function f(z) of the complex variable z is NOT analytic at all points of the complex plane?
- Question 15 – For any load P > 0 and no appreciable deformation (no appreciable change in member angles), which members carry zero force in the shown truss?
- Question 16 – The single-degree-of-freedom oscillator is subjected to harmonic excitation F(t)=F 0( t) as shown. Find the nonzero ω for which the amplitude of force…
- Question 17 – The stress state at a point under plane stress is equibiaxial tension of magnitude 10 MPa. If one unit on the σ–τ plane represents 1 MPa, its Mohr…
- Question 18 – The shown four-bar mechanism has QR = 600 mm, RS = 300 mm and fixed PS = 400 mm. For a crank–rocker mechanism, link PQ can have length .
- Question 19 – A helical gear with 20° pressure angle and 30° helix angle is mounted at the midspan of a shaft supported between two end bearings. Identify the…
- Question 20 – The crystal structure of γ iron (austenite phase) is .
- Question 21 – Match each heat treatment with its effect. P: Tempering; Q: Quenching; R: Annealing; S: Normalizing. Effects: 1: Strengthening; 2: Toughening; 3:…
- Question 22 – The base of a brass bracket needs rough grinding. Which grinding-wheel specification is most suitable?
- Question 23 – In the Critical Path Method (CPM), the cost–time slope of an activity is .
- Question 24 – Froude number is the ratio of .
- Question 25 – Match the non-dimensional numbers with the definitions. P: Reynolds; Q: Grashof; R: Nusselt; S: Prandtl. Definitions: 1: Buoyancy force / Viscous…
- Question 26 – The velocity field of an incompressible flow in a Cartesian system is V=2(x2-y2) i+v j+3 k. Which expression for v is valid?
- Question 27 – For an ideal gas, the Joule–Thomson coefficient is .
- Question 28 – For an ideal gas, a constant-pressure line and a constant-volume line intersect on a temperature T versus specific entropy s diagram. C p and C v are…
- Question 29 – For A=2 j-3 k, B=-2 i+ k, C=3 i- j, where i, j, k are unit vectors of a right-handed rectangular Cartesian system, evaluate A( B C)+6.
- Question 30 – A flywheel keeps an engine’s rotational speed between 100 and 110 rad/s. Energy fluctuation between these speeds is 1.05 kJ. Find its moment of…
- Question 31 – A balanced rigid disc on a rigid rotor has four identical 10 g point masses attached to four points on a 100 mm radius circle as shown. The motor…
- Question 32 – Sheet metal of stock hardness 250 HRC is sheared using a punch and die with 1 mm clearance. If stock hardness increases to 400 HRC, estimate the…
- Question 33 – A company fills four managerial vacancies from five men and three women. Every candidate is equally likely to be selected. Find the probability that…
- Question 34 – An ideal intercooled Brayton-cycle gas-turbine compressor achieves overall pressure ratio 6 in two stages. Intercooling cools first-stage outlet air…
- Question 35 – In a concentric-tube counterflow heat exchanger, hot oil enters at 102°C and leaves at 65°C. Cold water enters at 25°C and leaves at 42°C. Find the…
- Question 36 – Evaluate -11.4x x \,dx using Simpson’s 1/3 rule with step size h = 0.6.
- Question 37 – Let f(x,y,z)=(x i+y j+z k)/(x2+y2+z2)3/2, with unit vectors of a right-handed rectangular Cartesian system. Find f d S over the inner and outer…
- Question 38 – Bars of square and circular cross-section, each 0.5 m long, are made of material of shear strength 20 MPa. The square section is 4 cm × 4 cm; the…
- Question 39 – A 2 kg block rests on a smooth horizontal surface (top view) and is attached to a massless elastic cord of stiffness 5 N/m, hinged at O. The cord is…
- Question 40 – The truss has four members of length l and flexural rigidity EI, and one member of length l2 and rigidity 4EI. It carries the pair of outward forces P…
- Question 41 – A rigid massless rod of length L is connected through a frictionless revolute joint to a disc pulley of mass m and radius r = L/4. Its other end is…
- Question 42 – A 40 mm thick strip is rolled to 20 mm in a two-high mill with rolls of diameter 200 mm. Estimate the coefficient of friction and arc length (mm),…
- Question 43 – An assembly line produces 4 pieces per hour with average processing time 60 minutes. Its WIP inventory is calculated. Production rate remains…
- Question 44 – A metal bead of radius 0.5 mm, initially at 100°C, attains 28°C in 4.35 s when placed in fluid at 20°C. Metal density is 8500 kg/m³ and specific heat…
- Question 45 – X and Y are exponentially distributed random variables, each of mean 0.50. Let Z = X + Y and r be the correlation coefficient of X and Y. If Var(Z) =…
- Question 46 – An analytic function of z=x+iy, i=-1, is f(z)=x2-y2+i(x,y), where φ is real. Find the imaginary part of f at z = 1 + i, to two decimals.
- Question 47 – A disc-type axial clutch has annular contact with outer and inner diameters 250 and 50 mm. A new clutch needs axial force F₁ to transmit a torque; the…
- Question 48 – A cam with translating flat-face follower has follower motion y()=4(2-2), 02. Cam-profile radius of curvature must be at least 40 mm everywhere. Find…
- Question 49 – A rectangular steel bar of length 500 mm, width 100 mm and thickness 15 mm is cantilevered to a 200 mm steel channel using four bolts as shown. For a…
- Question 50 – A unit-width (1 m into the plane) barrier between two water tanks is modelled as a cantilever, with water depths 4 m and 1 m on opposite sides as…
- Question 51 – Find the magnitude of reaction force at joint C of the hinge beam shown (kN), to two decimals.
- Question 52 – A 25 mm × 25 mm slot is milled in a 300 mm long workpiece using a side-and-face cutter of diameter 100 mm, width 25 mm and 20 teeth. Depth of cut is 5…
- Question 53 – For a basic-shaft system: hole tolerance = 0.002 mm, shaft tolerance = 0.001 mm, allowance = 0.003 mm and basic size = 50 mm. Find maximum hole size…
- Question 54 – A steel part of surface area 125 cm² is chrome-coated using chromium acid sulphate electrolyte. Current is I=12+0.2t amperes, with t in minutes.…
- Question 55 – In orthogonal turning, a 100 mm long chip is obtained from an uncut chip length of 250 mm. Cutting speed is 30 m/min and rake angle 20°. Find…
- Question 56 – A steel plate with strength coefficient 210 MPa is reduced from 20 to 15 mm in one pass through a two-high rolling mill. Roll radius is 450 mm,…
- Question 57 – Shveta and Ashok independently produce A and B in two states, selling at ₹2000/kg and ₹3000/kg respectively. Each maximizes daily revenue by linear…
- Question 58 – Compare two sourcing cases for the same part. Case 1: 1000 pieces/year from X; changeover time 2 hours, price ₹10/piece, holding-cost rate 10%/year.…
- Question 59 – Consider steady, viscous, fully developed flow through a circular pipe of internal diameter D. Its parabolic velocity profile is V=-C(r2-D2/4) m/s,…
- Question 60 – Air discharges steadily through a horizontal nozzle onto a stationary vertical plate as shown. Inlet and outlet areas are 0.1 and 0.02 m²; air density…
- Question 61 – Ideal-gas air enters a perfectly insulated compressor at 310 K. Compressor pressure ratio is 6. Air has constant cₚ = 1005 J/(kg·K) and cₚ/cᵥ = 1.4.…
- Question 62 – One kg of ideal air at 127°C expands reversibly at constant pressure until its volume doubles. Gas constant is 287 J/(kg·K). Find magnitude of work…
- Question 63 – An ideal Rankine cycle operates between 30 bar and 0.04 bar. Turbine work output is 903 kJ/kg and pump input is 3 kJ/kg. Find specific steam…
- Question 64 – The outlet blade velocity diagram for a Kaplan axial-flow turbine is shown. The section diameter is 3 m; hub and tip diameters are 2 and 4 m. Water…
- Question 65 – Engine indicated power is calculated using an air-standard Otto cycle with compression ratio 8 and constant properties. Heat-addition rate is 10 kW,…