GATE 2023 ME – Previous Year Questions with Solutions
All 65 questions of GATE 2023 ME with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – He did not manage to fix the car himself, so he in the garage.
- Question 2 – Planting : Seed : : Raising : (By word meaning)
- Question 3 – A certain country has 504 universities and 25951 colleges. These are categorised into Grades I, II, and III as shown in the given pie charts. What is…
- Question 4 – The minute-hand and second-hand of a clock cross each other times between 09:15:00 AM and 09:45:00 AM on a day.
- Question 5 – The symbols ○, ∗, △, and □ are to be filled, one in each box, as shown below. The rules for filling in the four symbols are as follows. 1) Every row…
- Question 6 – In a recently held parent-teacher meeting, the teachers had very few complaints about Ravi. After all, Ravi was a hardworking and kind student.…
- Question 7 – Consider the following inequalities p2 - 4q < 4 3p + 2q < 6 where p and q are positive integers. The value of (p + q) is .
- Question 8 – Which one of the sentence sequences in the given options creates a coherent narrative? (i) I could not bring myself to knock. (ii) There was a murmur…
- Question 9 – How many pairs of sets (S,T) are possible among the subsets of 1, 2, 3, 4, 5, 6 that satisfy the condition that S is a subset of T?
- Question 10 – An opaque pyramid (shown below), with a square base and isosceles faces, is suspended in the path of a parallel beam of light, such that its shadow is…
- Question 11 – A machine produces a defective component with a probability of 0.015. The number of defective components in a packed box containing 200 components…
- Question 12 – The figure shows the plot of a function over the interval [-4, 4]. Which one of the options given CORRECTLY identifies the function?
- Question 13 – With reference to the Economic Order Quantity (EOQ) model, which one of the options given is correct?
- Question 14 – Which one of the options given represents the feasible region of the linear programming model: Maximize 45X 1 + 60X 2 X 1 45 X 2 50 10X 1 + 10X 2 600…
- Question 15 – A cuboidal part has to be accurately positioned first, arresting six degrees of freedom and then clamped in a fixture, to be used for machining.…
- Question 16 – The effective stiffness of a cantilever beam of length L and flexural rigidity EI subjected to a transverse tip load W is
- Question 17 – The options show frames consisting of rigid bars connected by pin joints. Which one of the frames is non-rigid?
- Question 18 – The S-N curve from a fatigue test for steel is shown. Which one of the options gives the endurance limit?
- Question 19 – Air (density = 1.2 kg/m3, kinematic viscosity = 1.5 10-5 m2/s) flows over a flat plate with a free-stream velocity of 2 m/s. The wall shear stress at…
- Question 20 – Consider an isentropic flow of air (ratio of specific heats = 1.4) through a duct as shown in the figure. The variations in the flow across the…
- Question 21 – Consider incompressible laminar flow of a constant property Newtonian fluid in an isothermal circular tube. The flow is steady with fully-developed…
- Question 22 – A heat engine extracts heat (Q H) from a thermal reservoir at a temperature of 1000 K and rejects heat (Q L) to a thermal reservoir at a temperature…
- Question 23 – Two surfaces P and Q are to be joined together. In which of the given joining operation(s), there is no melting of the two surfaces P and Q for…
- Question 24 – A beam is undergoing pure bending as shown in the figure. The stress ()-strain () curve for the material is also given. The yield stress of the…
- Question 25 – In a metal casting process to manufacture parts, both patterns and moulds provide shape by dictating where the material should or should not go. Which…
- Question 26 – The principal stresses at a point P in a solid are 70 MPa, −70 MPa and 0. The yield stress of the material is 100 MPa. Which prediction(s) about…
- Question 27 – Which of the plot(s) shown is/are valid Mohr's circle representations of a plane stress state in a material? (The center of each circle is indicated…
- Question 28 – Consider a laterally insulated rod of length L and constant thermal conductivity. Assuming one-dimensional heat conduction in the rod, which of the…
- Question 29 – Two meshing spur gears 1 and 2 with diametral pitch of 8 teeth per mm and an angular velocity ratio 2 / 1 = 1/4, have their centers 30 mm apart. The…
- Question 30 – The figure shows a block of mass m = 20 kg attached to a pair of identical linear springs, each having a spring constant k = 1000 N/m. The block…
- Question 31 – A vector field B(x, y, z) = xi + yj - 2zk is defined over a conical region having height h = 2, base radius r = 3 and axis along z, as shown in the…
- Question 32 – A linear transformation maps a point (x, y) in the plane to the point (x, y) according to the rule x = 3y, y = 2x. Then, the disc x2 + y2 1 gets…
- Question 33 – The value of k that makes the complex-valued function f(z) = e-kx( 2y - i 2y) analytic, where z = x + iy, is . (Answer in integer)
- Question 34 – The braking system shown in the figure uses a belt to slow down a pulley rotating in the clockwise direction by the application of a force P. The belt…
- Question 35 – Consider a counter-flow heat exchanger with the inlet temperatures of two fluids (1 and 2) being T 1,in = 300 K and T 2,in = 350 K. The heat capacity…
- Question 36 – Which one of the options given is the inverse Laplace transform of 1s3 - s? u(t) denotes the unit-step function.
- Question 37 – A spherical ball weighing 2 kg is dropped from a height of 4.9 m onto an immovable rigid block as shown in the figure. If the collision is perfectly…
- Question 38 – The figure shows a wheel rolling without slipping on a horizontal plane with angular velocity 1. A rigid bar PQ is pinned to the wheel at P while the…
- Question 39 – A beam of length L is loaded in the xy-plane by a uniformly distributed load, and by a concentrated tip load parallel to the z-axis, as shown in the…
- Question 40 – The figure shows a thin-walled open-top cylindrical vessel of radius r and wall thickness t. The vessel is held along the brim and contains a…
- Question 41 – Which one of the following statements is FALSE?
- Question 42 – Consider a fully adiabatic piston-cylinder arrangement as shown in the figure. The piston is massless and cross-sectional area of the cylinder is A.…
- Question 43 – A cylindrical rod of length h and diameter d is placed inside a cubic enclosure of side length L. S denotes the inner surface of the cube. The…
- Question 44 – In an ideal orthogonal cutting experiment (see figure), the cutting speed V is 1 m/s, the rake angle of the tool = 5°, and the shear angle, , is known…
- Question 45 – A CNC machine has one of its linear positioning axes as shown in the figure, consisting of a motor rotating a lead screw, which in turn moves a nut…
- Question 46 – Cylindrical bars P and Q have identical lengths and radii, but are composed of different linear elastic materials. The Young's modulus and coefficient…
- Question 47 – A very large metal plate of thickness d and thermal conductivity k is cooled by a stream of air at temperature T = 300 K with a heat transfer…
- Question 48 – The smallest perimeter that a rectangle with area of 4 square units can have is units. (Answer in integer)
- Question 49 – Consider the second-order linear ordinary differential equation x2d2ydx2 + xdydx - y = 0, x 1 with the initial conditions y(x = 1) = 6, dydx x=1 = 2.…
- Question 50 – The initial value problem dydt + 2y = 0, y(0) = 1 is solved numerically using the forward Euler's method with a constant and positive time step of t.…
- Question 51 – The atomic radius of a hypothetical face-centered cubic (FCC) metal is (2/10) nm. The atomic weight of the metal is 24.092 g/mol. Taking Avogadro's…
- Question 52 – A steel sample with 1.5 wt.% carbon (no other alloying elements present) is slowly cooled from 1100 °C to just below the eutectoid temperature (723…
- Question 53 – A part, produced in high volumes, is dimensioned as shown. The machining process making this part is known to be statistically in control based on…
- Question 54 – A coordinate measuring machine (CMM) is used to determine the distance between Surface SP and Surface SQ of an approximately cuboidal shaped part.…
- Question 55 – A solid part (see figure) of polymer material is to be fabricated by additive manufacturing (AM) in square-shaped layers starting from the bottom of…
- Question 56 – An optical flat is used to measure the height difference between a reference slip gauge A and a slip gauge B. Upon viewing via the optical flat using…
- Question 57 – Ignoring the small elastic region, the true stress () – true strain () variation of a material beyond yielding follows the equation = 4000.3 MPa. The…
- Question 58 – The area moment of inertia about the y-axis of a linearly tapered section shown in the figure is m4. (Answer in integer)
- Question 59 – A cylindrical bar has a length L = 5 m and cross section area S = 10 m2. The bar is made of a linear elastic material with a density = 2700 kg/m3 and…
- Question 60 – A cylindrical transmission shaft of length 1.5 m and diameter 100 mm is made of a linear elastic material with a shear modulus of 80 GPa. While…
- Question 61 – Consider a mixture of two ideal gases, X and Y, with molar masses M X = 10 kg/kmol and M Y = 20 kg/kmol, respectively, in a container. The total…
- Question 62 – The velocity field of a certain two-dimensional flow is given by V(x, y) = k(xi - yj) where k = 2 s-1. The coordinates x and y are in meters. Assume…
- Question 63 – Consider a unidirectional fluid flow with the velocity field given by V(x, y, z, t) = u(x, t)i where u(0, t) = 1. If the spatially homogeneous density…
- Question 64 – The figure shows two fluids held by a hinged gate. The atmospheric pressure is P a = 100 kPa. The moment per unit width about the base of the hinge is…
- Question 65 – An explosion at time t = 0 releases energy E at the origin in a space filled with a gas of density . Subsequently, a hemispherical blast wave…