GATE 2021 ME (ME2) – Previous Year Questions with Solutions
All 65 questions of GATE 2021 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 – Five persons P, Q, R, S and T are to be seated in a row, all facing the same direction, but not necessarily in the same order. P and T cannot be…
- Question 2 – Consider the following sentences: (i) The number of candidates who appear for the GATE examination is staggering. (ii) A number of candidates from my…
- Question 3 – A digital watch X beeps every 30 seconds while watch Y beeps every 32 seconds. They beeped together at 10 AM. The immediate next time that they will…
- Question 4 – If =2; =3; +=5; =10. Then, the value of (-)2, is:
- Question 5 – The front door of Mr. X's house faces East. Mr. X leaves the house, walking 50 m straight from the back door that is situated directly opposite to the…
- Question 6 – Given below are two statements 1 and 2, and two conclusions I and II. Statement 1: All entrepreneurs are wealthy. Statement 2: All wealthy are risk…
- Question 7 – A box contains 15 blue balls and 45 black balls. If 2 balls are selected randomly, without replacement, the probability of an outcome in which the…
- Question 8 – The ratio of the area of the inscribed circle to the area of the circumscribed circle of an equilateral triangle is
- Question 9 – Consider a square sheet of side 1 unit. The sheet is first folded along the main diagonal. This is followed by a fold along its line of symmetry. The…
- Question 10 – The world is going through the worst pandemic in the past hundred years. The air travel industry is facing a crisis, as the resulting quarantine…
- Question 11 – Consider an n n matrix A and a non-zero n1 vector p. Their product Ap=2p, where R and \-1,0,1\. Based on the given information, the eigen value of A2…
- Question 12 – If the Laplace transform of a function f(t) is given by L\f(t)\=s+3(s+1)(s+2), then f(0) is
- Question 13 – The mean and variance, respectively, of a binomial distribution for n independent trials with the probability of success as p, are
- Question 14 – The Cast Iron which possesses all the carbon in the combined form as cementite is known as
- Question 15 – The size distribution of the powder particles used in Powder Metallurgy process can be determined by
- Question 16 – In a CNC machine tool, the function of an interpolator is to generate
- Question 17 – The machining process that involves ablation is
- Question 18 – A PERT network has 9 activities on its critical path. The standard deviation of each activity on the critical path is 3. The standard deviation of the…
- Question 19 – The allowance provided in between a hole and a shaft is calculated from the difference between
- Question 20 – In forced convective heat transfer, Stanton number (St), Nusselt number (Nu), Reynolds number (Re) and Prandtl number (Pr) are related as
- Question 21 – For a two-dimensional, incompressible flow having velocity components u and v in the x and y directions, respectively, the expression (u2) x+(uv) y…
- Question 22 – Which of the following is responsible for eddy viscosity (or turbulent viscosity) in a turbulent boundary layer on a flat plate?
- Question 23 – A two dimensional flow has velocities in x and y directions given by u=2xyt and v=-y2t, where t denotes time. The equation for streamline passing…
- Question 24 – A plane truss PQRS (PQ = RS, and PQR=90) is shown in the figure. The forces in the members PR and RS, respectively, are
- Question 25 – Consider the mechanism shown in the figure. There is rolling contact without slip between the disc and ground. Select the correct statement about…
- Question 26 – The controlling force curves P, Q and R for a spring controlled governor are shown in the figure, where r 1 and r 2 are any two radii of rotation.
- Question 27 – The von Mises stress at a point in a body subjected to forces is proportional to the square root of the
- Question 28 – Value of 45.2 x\,dx using Simpson’s one-third rule with interval size 0.3 is
- Question 29 – Value of (1+i)8, where i=-1, is equal to
- Question 30 – Consider adiabatic flow of air through a duct. At a given point in the duct, velocity of air is 300 m/s, temperature is 330 K and pressure is 180 kPa.…
- Question 31 – Consider an ideal vapour compression refrigeration cycle working on R-134a refrigerant. The COP of the cycle is 10 and the refrigeration capacity is…
- Question 32 – A rigid tank of volume 50 m³ contains a pure substance as a saturated liquid vapour mixture at 400 kPa. Of the total mass of the mixture, 20% mass is…
- Question 33 – An object is moving with a Mach number of 0.6 in an ideal gas environment, which is at a temperature of 350 K. The gas constant is 320 J/kg.K and…
- Question 34 – A column with one end fixed and one end free has a critical buckling load of 100 N. For the same column, if the free end is replaced with a pinned end…
- Question 35 – A steel cubic block of side 200 mm is subjected to hydrostatic pressure of 250 N/mm². The elastic modulus is 2105 N/mm² and Poisson ratio is 0.3 for…
- Question 36 – The value of 0/2 0r\,dr\,d is
- Question 37 – Let the superscript T represent the transpose operation. Consider the function f(x)=12xTQx-rTx, where x and r are n1 vectors and Q is a symmetric n n…
- Question 38 – Consider the following differential equation dydx=y1+y. The solution of the equation that satisfies the condition y(1)=1 is
- Question 39 – A factory produces m (i=1,2,,m) products, each of which requires processing on n (j=1,2,,n) workstations. Let a ij be the amount of processing time…
- Question 40 – Ambient pressure, temperature, and relative humidity at a location are 101 kPa, 300 K, and 60%, respectively. The saturation pressure of water at 300…
- Question 41 – A plane frame PQR (fixed at P and free at R) is shown in the figure. Both members (PQ and QR) have length, L, and flexural rigidity, EI. Neglecting…
- Question 42 – A power transmission mechanism consists of a belt drive and a gear train as shown in the figure. Diameters of pulleys of belt drive and number of…
- Question 43 – A machine of mass 100 kg is subjected to an external harmonic force with a frequency of 40 rad/s. The designer decides to mount the machine on an…
- Question 44 – Consider the system shown in the figure. A rope goes over a pulley. A mass, m, is hanging from the rope. A spring of stiffness, k, is attached at one…
- Question 45 – Find the positive real root of x3-x-3=0 using Newton-Raphson method. If the starting guess (x 0) is 2, the numerical value of the root after two…
- Question 46 – Daily production capacity of a bearing manufacturing company is 30000 bearings. The daily demand of the bearing is 15000. The holding cost per year of…
- Question 47 – A cast product of a particular material has dimensions 75 mm × 125 mm × 20 mm. The total solidification time for the cast product is found to be 2.0…
- Question 48 – A spot welding operation performed on two pieces of steel yielded a nugget with a diameter of 5 mm and a thickness of 1 mm. The welding time was 0.1…
- Question 49 – A surface grinding operation has been performed on a Cast Iron plate having dimensions 300 mm (length) × 10 mm (width) × 50 mm (height). The grinding…
- Question 50 – In a pure orthogonal turning by a zero rake angle single point carbide cutting tool, the shear force has been computed to be 400 N. The cutting…
- Question 51 – The thickness, width and length of a metal slab are 50 mm, 250 mm and 3600 mm, respectively. A rolling operation on this slab reduces the thickness by…
- Question 52 – A 76.2 mm gauge block is used under one end of a 254 mm sine bar with roll diameter of 25.4 mm. The height of gauge blocks required at the other end…
- Question 53 – The demand and forecast of an item for five months are given in the table. Month April May June July August --- --- --- --- --- --- Demand 225 220 285…
- Question 54 – A shell and tube heat exchanger is used as a steam condenser. Coolant water enters the tube at 300 K at a rate of 100 kg/s. The overall heat transfer…
- Question 55 – Ambient air flows over a heated slab having flat, top surface at y=0. The local temperature (in Kelvin) profile within the thermal boundary layer is…
- Question 56 – Water flows out from a large tank of cross-sectional area A t=1 m² through a small rounded orifice of cross-sectional area A o=1 cm², located at y=0.…
- Question 57 – Consider the open feed water heater (FWH) shown in the figure given below: Specific enthalpy of steam at location 2 is 2624 kJ/kg, specific enthalpy…
- Question 58 – A high velocity water jet of cross section area = 0.01 m² and velocity = 35 m/s enters a pipe filled with stagnant water. The diameter of the pipe is…
- Question 59 – A vertical shaft Francis turbine rotates at 300 rpm. The available head at the inlet to the turbine is 200 m. The tip speed of the rotor is 40 m/s.…
- Question 60 – An adiabatic vortex tube, shown in the figure given below is supplied with 5 kg/s of air (inlet 1) at 500 kPa and 300 K. Two separate streams of air…
- Question 61 – A block of negligible mass rests on a surface that is inclined at 30° to the horizontal plane as shown in the figure. When a vertical force of 900 N…
- Question 62 – The wheels and axle system lying on a rough surface is shown in the figure. Each wheel has diameter 0.8 m and mass 1 kg. Assume that the mass of the…
- Question 63 – A cantilever beam with a uniform flexural rigidity (EI=200106 N.m²) is loaded with a concentrated force at its free end. The area of the bending…
- Question 64 – The torque provided by an engine is given by T=12000+2500(2) N.m, where is the angle turned by the crank from inner dead center. The mean speed of the…
- Question 65 – The figure shows the relationship between fatigue strength (S) and fatigue life (N) of a material. The fatigue strength of the material for a life of…