GATE 2022 ME (ME2) – Previous Year Questions with Solutions
All 65 questions of GATE 2022 ME (ME2) with answers and explanations. Read each question, then practise it by topic or as a full paper.
Practise this paper in The GATE Grind →
- Question 1 – Writing too many things on the while teaching could make the students get .
- Question 2 – Which one of the following is a representation (not to scale and in bold) of all values of x satisfying the inequality 2-5x-6x-53 on the real number…
- Question 3 – If f(x)=2(ex), what is the area bounded by f(x) for the interval [0,2] on the x-axis?
- Question 4 – A person was born on the fifth Monday of February in a particular year. Which one of the following statements is correct based on the above…
- Question 5 – Which one of the groups given below can be assembled to get the shape that is shown above using each piece only once without overlapping with each…
- Question 6 – Fish belonging to species S in the deep sea have skins that are extremely black (ultra-black skin). This helps them not only to avoid predators but…
- Question 7 – For the past m days, the average daily production at a company was 100 units per day. If today’s production of 180 units changes the average to 110…
- Question 8 – Consider the following functions for non-zero positive integers, p and q. f(p,q)=p p p=pq (q terms), f(p,1)=p. g(p,q) is the right-associated power…
- Question 9 – Four cities P, Q, R and S are connected through one-way routes as shown in the figure. The travel time between any two connected cities is one hour.…
- Question 10 – Equal sized circular regions are shaded in a square sheet of paper of 1 cm side length. Two cases, case M and case N, are considered as shown in the…
- Question 11 – F(t) is a periodic square wave function as shown. It takes only two values, 4 and 0, and stays at each of these values for 1 second before changing.…
- Question 12 – Consider a cube of unit edge length and sides parallel to co-ordinate axes, with its centroid at the point (1,2,3). The surface integral A F d A of a…
- Question 13 – Consider the definite integral 12(4x2+2x+6)\,dx. Let I e be the exact value of the integral. If the same integral is estimated using Simpson’s rule…
- Question 14 – Given -e-x2\,dx=. If a and b are positive integers, the value of -e-a(x+b)2\,dx is .
- Question 15 – A polynomial (s)=a nsn+a n-1sn-1++a 1s+a 0 of degree n>3 with constant real coefficients has triple roots at s=-. Which one of the following…
- Question 16 – Which one of the following is the definition of ultimate tensile strength (UTS) obtained from a stress-strain test on a metal specimen?
- Question 17 – A massive uniform rigid circular disc is mounted on a frictionless bearing at the end E of a massive uniform rigid shaft AE which is suspended…
- Question 18 – A structural member under loading has a uniform state of plane stress which in usual notations is given by x=3P, y=-2P and xy=2P, where P>0. The yield…
- Question 19 – Fluidity of a molten alloy during sand casting depends on its solidification range. The phase diagram of a hypothetical binary alloy of components A…
- Question 20 – A shaft of diameter 25-0.04 -0.07 mm is assembled in a hole of diameter 25+0.02 -0.00 mm. Match the allowance and limit parameter in Column I with its…
- Question 21 – Match the additive manufacturing technique in Column I with its corresponding input material in Column II. Technique Input material --- --- P. Fused…
- Question 22 – Which one of the following CANNOT impart linear motion in a CNC machine?
- Question 23 – Which one of the following is an intensive property of a thermodynamic system?
- Question 24 – Consider a steady flow through a horizontal divergent channel, as shown in the figure, with supersonic flow at the inlet. The direction of flow is…
- Question 25 – Which of the following non-dimensional terms is an estimate of Nusselt number?
- Question 26 – A square plate is supported in four different ways (configurations (P) to (S) as shown in the figure). A couple moment C is applied on the plate.…
- Question 27 – Consider sand casting of a cube of edge length a. A cylindrical riser is placed at the top of the casting. Assume solidification time t s V/A, where V…
- Question 28 – Which of these processes involve(s) melting in metallic workpieces?
- Question 29 – The velocity field in a fluid is given to be V=(4xy) i+2(x2-y2) j. Which of the following statement(s) is/are correct?
- Question 30 – A rope with two mass-less platforms at its two ends passes over a fixed pulley as shown in the figure. Discs with narrow slots and having equal weight…
- Question 31 – For a dynamical system governed by x+2 n x+ n2x=0, the damping ratio is equal to 12 e2. The displacement x of this system is measured during a hammer…
- Question 32 – An electric car manufacturer underestimated the January sales of car by 20 units, while the actual sales was 120 units. If the manufacturer uses…
- Question 33 – The demand of a certain part is 1000 parts/year and its cost is ₹1000/part. The orders are placed based on the economic order quantity (EOQ). The cost…
- Question 34 – Consider 1 kg of an ideal gas at 1 bar and 300 K contained in a rigid and perfectly insulated container. The specific heat of the gas at constant…
- Question 35 – Wien’s law is stated as follows: mT=C, where C is 2898 µm K and m is the wavelength at which the emissive power of a black body is maximum for a given…
- Question 36 – For the exact differential equation dudx=-xu22+x2u, which one of the following is the solution?
- Question 37 – A rigid homogeneous uniform block of mass 1 kg, height h=0.4 m and width b=0.3 m is pinned at one corner and placed upright in a uniform gravitational…
- Question 38 – A linear elastic structure under plane stress condition is subjected to two sets of loading, I and II. The resulting states of stress at a point…
- Question 39 – A rigid body in the X-Y plane consists of two point masses (1 kg each) attached to the ends of two massless rods, each of 1 cm length, as shown in the…
- Question 40 – A spring mass damper system (mass m, stiffness k, and damping coefficient c) excited by a force F(t)=B t, where B, ω and t are the amplitude,…
- Question 41 – Parts P1-P7 are machined first on a milling machine and then polished at a separate machine. Using the information in the following table, the minimum…
- Question 42 – A manufacturing unit produces two products P1 and P2. For each piece of P1 and P2, the table below provides quantities of materials M1, M2, and M3…
- Question 43 – A tube of uniform diameter D is immersed in a steady flowing inviscid liquid stream of velocity V, as shown in the figure. Gravitational acceleration…
- Question 44 – The steady velocity field in an inviscid fluid of density 1.5 is given to be V=(y2-x2) i+(2xy) j. Neglecting body forces, the pressure gradient at…
- Question 45 – In a vapour compression refrigeration cycle, the refrigerant enters the compressor in saturated vapour state at evaporator pressure, with specific…
- Question 46 – A is a 35 real matrix of rank 2. For the set of homogeneous equations Ax=0, where 0 is a zero vector and x is a vector of unknown variables, which of…
- Question 47 – The lengths of members BC and CE in the frame shown in the figure are equal. All the members are rigid and lightweight, and the friction at the joints…
- Question 48 – If the sum and product of eigenvalues of a 22 real matrix bmatrix3&p\&qbmatrix are 4 and −1 respectively, then p is (in integer).
- Question 49 – Given z=x+iy, i=-1. C is a circle of radius 2 with the centre at the origin. If the contour C is traversed anticlockwise, then the value of the…
- Question 50 – A shaft of length L is made of two materials, one in the inner core and the other in the outer rim, and the two are perfectly joined together (no slip…
- Question 51 – A rigid beam AD of length 3a=6 m is hinged at frictionless pin joint A and supported by two strings as shown in the figure. String BC passes over two…
- Question 52 – In the configuration of the planar four-bar mechanism at a certain instant as shown in the figure, the angular velocity of the 2 cm long link is 2=5…
- Question 53 – A shaft AC rotating at a constant speed carries a thin pulley of radius r=0.4 m at the end C which drives a belt. A motor is coupled at the end A of…
- Question 54 – A straight-teeth horizontal slab milling cutter is shown in the figure. It has 4 teeth and diameter (D) of 200 mm. The rotational speed of the cutter…
- Question 55 – In an orthogonal machining operation, the cutting and thrust forces are equal in magnitude. The uncut chip thickness is 0.5 mm and the shear angle is…
- Question 56 – The best size wire is fitted in a groove of a metric screw such that the wire touches the flanks of the thread on the pitch line as shown in the…
- Question 57 – In a direct current arc welding process, the power source has an open circuit voltage of 100 V and short circuit current of 1000 A. Assume a linear…
- Question 58 – A cylindrical billet of 100 mm diameter and 100 mm length is extruded by a direct extrusion process to produce a bar of L-section. The cross sectional…
- Question 59 – A project consists of five activities (A, B, C, D and E). The duration of each activity follows beta distribution. The three time estimates (in weeks)…
- Question 60 – A rigid tank of volume of 8 m3 is being filled up with air from a pipeline connected through a valve. Initially the valve is closed and the tank is…
- Question 61 – At steady state, 500 kg/s of steam enters a turbine with specific enthalpy equal to 3500 kJ/kg and specific entropy equal to 6.5 kJ kg-1 K-1. It…
- Question 62 – A uniform wooden rod (specific gravity = 0.6, diameter = 4 cm and length = 8 m) is immersed in the water and is hinged without friction at point A on…
- Question 63 – Consider steady state, one-dimensional heat conduction in an infinite slab of thickness 2L (L = 1 m) as shown in the figure. The conductivity (k) of…
- Question 64 – Saturated vapor at 200 °C condenses to saturated liquid at the rate of 150 kg/s on the shell side of a heat exchanger (enthalpy of condensation h…
- Question 65 – Consider a hydrodynamically and thermally fully-developed, steady fluid flow of 1 kg/s in a uniformly heated pipe with diameter of 0.1 m and length of…