GATE 2022 ME (ME1) – Previous Year Questions with Solutions
All 65 questions of GATE 2022 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 – After playing hours of tennis, I am feeling tired to walk back.
- Question 2 – The average of the monthly salaries of M, N and S is ₹ 4000. The average of the monthly salaries of N, S and P is ₹ 5000. The monthly salary of P is ₹…
- Question 3 – A person travelled 80 km in 6 hours. If the person travelled the first part with a uniform speed of 10 kmph and the remaining part with a uniform…
- Question 4 – Four girls P, Q, R and S are studying languages in a University. P is learning French and Dutch. Q is learning Chinese and Japanese. R is learning…
- Question 5 – A block with a trapezoidal cross-section is placed over a block with rectangular cross section as shown above. Which one of the following is the…
- Question 6 – Humans are naturally compassionate and honest. In a study using strategically placed wallets that appear "lost", it was found that wallets with money…
- Question 7 – A rhombus is formed by joining the midpoints of the sides of a unit square. What is the diameter of the largest circle that can be inscribed within…
- Question 8 – An equilateral triangle, a square and a circle have equal areas. What is the ratio of the perimeters of the equilateral triangle to square to circle?
- Question 9 – Given below are three conclusions drawn based on the following three statements. Statement 1: All teachers are professors. Statement 2: No professor…
- Question 10 – In a 12-hour clock that runs correctly, how many times do the second, minute, and hour hands of the clock coincide, in a 12-hour duration from 3 PM in…
- Question 11 – The limit p = x (x2 + x + 22x - + 2 x) has a finite value for a real . The value of and the corresponding limit p are
- Question 12 – Solution of 2T = 0 in a square domain (0 < x < 1 and 0 < y < 1) with boundary conditions: T(x, 0) = x; T(0, y) = y; T(x, 1) = 1 + x; T(1, y) = 1 + y…
- Question 13 – Given a function = 12(x2 + y2 + z2) in three-dimensional Cartesian space, the value of the surface integral Sn \,dS, where S is the surface of a…
- Question 14 – The Fourier series expansion of x3 in the interval -1 x < 1 with periodic continuation has
- Question 15 – If A = bmatrix 10 & 2k + 5 \\ 3k - 3 & k + 5 bmatrix is a symmetric matrix, the value of k is .
- Question 16 – A uniform light slender beam AB of section modulus EI is pinned by a frictionless joint A to the ground and supported by a light inextensible cable CB…
- Question 17 – The figure shows a schematic of a simple Watt governor mechanism with the spindle O 1O 2 rotating at an angular velocity about a vertical axis. The…
- Question 18 – A square threaded screw is used to lift a load W by applying a force F. Efficiency of square threaded screw is expressed as
- Question 19 – A CNC worktable is driven in a linear direction by a lead screw connected directly to a stepper motor. The pitch of the lead screw is 5 mm. The…
- Question 20 – The type of fit between a mating shaft of diameter 25.0+0.010 -0.010 mm and a hole of diameter 25.015+0.015 -0.015 mm is .
- Question 21 – In a linear programming problem, if a resource is not fully utilized, the shadow price of that resource is
- Question 22 – Which one of the following is NOT a form of inventory?
- Question 23 – The Clausius inequality holds good for
- Question 24 – A tiny temperature probe is fully immersed in a flowing fluid and is moving with zero relative velocity with respect to the fluid. The velocity field…
- Question 25 – In the following two-dimensional momentum equation for natural convection over a surface immersed in a quiescent fluid at temperature T (g is the…
- Question 26 – Assuming the material considered in each statement is homogeneous, isotropic, linear elastic, and the deformations are in the elastic range, which one…
- Question 27 – Which of the following heat treatment processes is/are used for surface hardening of steels?
- Question 28 – Which of the following additive manufacturing technique(s) can use a wire as a feedstock material?
- Question 29 – Which of the following methods can improve the fatigue strength of a circular mild steel (MS) shaft?
- Question 30 – The figure shows a purely convergent nozzle with a steady, inviscid compressible flow of an ideal gas with constant thermophysical properties…
- Question 31 – The plane of the figure represents a horizontal plane. A thin rigid rod at rest is pivoted without friction about a fixed vertical axis passing…
- Question 32 – A rigid uniform annular disc is pivoted on a knife edge A in a uniform gravitational field as shown, such that it can execute small amplitude simple…
- Question 33 – Electrochemical machining operations are performed with tungsten as the tool, and copper and aluminum as two different workpiece materials. Properties…
- Question 34 – A polytropic process is carried out from an initial pressure of 110 kPa and volume of 5 m3 to a final volume of 2.5 m3. The polytropic index is given…
- Question 35 – A flat plate made of cast iron is exposed to a solar flux of 600 W/m2 at an ambient temperature of 25 °C. Assume that the entire solar flux is…
- Question 36 – The value of the integral (6z2z4 - 3z3 + 7z2 - 3z + 5)dz evaluated over a counter-clockwise circular contour in the complex plane enclosing only the…
- Question 37 – An L-shaped elastic member ABC with slender arms AB and BC of uniform cross-section is clamped at end A and connected to a pin at end C. The pin…
- Question 38 – A planar four-bar linkage mechanism with 3 revolute kinematic pairs and 1 prismatic kinematic pair is shown in the figure, where AB ⊥ CE and FD ⊥ CE.…
- Question 39 – Consider a forced single degree-of-freedom system governed by x(t) + 2 nx(t) + n2x(t) = n2( t), where and n are the damping ratio and undamped natural…
- Question 40 – A bracket is attached to a vertical column by means of two identical rivets U and V separated by a distance of 2a = 100 mm, as shown in the figure.…
- Question 41 – In Fe-Fe 3C phase diagram, the eutectoid composition is 0.8 weight % of carbon at 725 °C. The maximum solubility of carbon in α-ferrite phase is 0.025…
- Question 42 – Activities A to K are required to complete a project. The time estimates and the immediate predecessors of these activities are given in the table. If…
- Question 43 – A solid spherical bead of lead (uniform density = 11000 kg/m3) of diameter d = 0.1 mm sinks with a constant velocity V in a large stagnant pool of a…
- Question 44 – Consider steady, one-dimensional compressible flow of a gas in a pipe of diameter 1 m. At one location in the pipe, the density and velocity are 1…
- Question 45 – Consider a rod of uniform thermal conductivity whose one end (x = 0) is insulated and the other end (x = L) is exposed to flow of air at temperature T…
- Question 46 – The system of linear equations in real (x, y) given by (x\ \ y)bmatrix 2 & 5 - 2 \\ & 1 bmatrix = (0\ \ 0) involves a real parameter and has…
- Question 47 – Let a random variable X follow Poisson distribution such that Prob(X = 1) = Prob(X = 2). The value of Prob(X = 3) is (round off to 2 decimal places).
- Question 48 – Consider two vectors: a = 5i + 7j + 2k, b = 3i - j + 6k Magnitude of the component of a orthogonal to b in the plane containing the vectors a and b is…
- Question 49 – A structure, along with the loads applied on it, is shown in the figure. Self-weight of all the members is negligible and all the pin joints are…
- Question 50 – Two rigid massless rods PR and RQ are joined at frictionless pin-joint R and are resting on ground at P and Q, respectively, as shown in the figure. A…
- Question 51 – A cylindrical disc of mass m = 1 kg and radius r = 0.15 m was spinning at = 5 rad/s when it was placed on a flat horizontal surface and released…
- Question 52 – A thin-walled cylindrical pressure vessel has mean wall thickness of t and nominal radius of r. The Poisson's ratio of the wall material is 1/3. When…
- Question 53 – A schematic of an epicyclic gear train is shown in the figure. The sun (gear 1) and planet (gear 2) are external, and the ring gear (gear 3) is…
- Question 54 – Under orthogonal cutting condition, a turning operation is carried out on a metallic workpiece at a cutting speed of 4 m/s. The orthogonal rake angle…
- Question 55 – A 1 mm thick cylindrical tube, 100 mm in diameter, is orthogonally turned such that the entire wall thickness of the tube is cut in a single pass. The…
- Question 56 – A 4 mm thick aluminum sheet of width w = 100 mm is rolled in a two-roll mill of roll diameter 200 mm each. The workpiece is lubricated with a mineral…
- Question 57 – Two mild steel plates of similar thickness, in butt-joint configuration, are welded by gas tungsten arc welding process using the following welding…
- Question 58 – An assignment problem is solved to minimize the total processing time of four jobs (1, 2, 3 and 4) on four different machines such that each job is…
- Question 59 – The product structure diagram shows the number of different components required at each level to produce one unit of the final product P. If there are…
- Question 60 – Consider a one-dimensional steady heat conduction process through a solid slab of thickness 0.1 m. The higher temperature side A has a surface…
- Question 61 – In a steam power plant based on Rankine cycle, steam is initially expanded in a high-pressure turbine. The steam is then reheated in a reheater and…
- Question 62 – An engine running on an air standard Otto cycle has a displacement volume 250 cm3 and a clearance volume 35.7 cm3. The pressure and temperature at the…
- Question 63 – A steady two-dimensional flow field is specified by the stream function = kx3y, where x and y are in meter and the constant k = 1 m-2s-1. The…
- Question 64 – Consider a solid slab (thermal conductivity, k = 10 W m-1K-1) with thickness 0.2 m and of infinite extent in the other two directions as shown in the…
- Question 65 – During open-heart surgery, a patient's blood is cooled down to 25 °C from 37 °C using a concentric tube counter-flow heat exchanger. Water enters the…