GATE 2024 ME – Previous Year Questions with Solutions
All 65 questions of GATE 2024 ME with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – If '→' denotes increasing order of intensity, then the meaning of the words [smile → giggle → laugh] is analogous to [disapprove → → chide]. Which one…
- Question 2 – Find the odd one out in the set: 19, 37, 21, 17, 23, 29, 31, 11
- Question 3 – In the following series, identify the number that needs to be changed to form the Fibonacci series. 1, 1, 2, 3, 6, 8, 13, 21, ...
- Question 4 – The real variables x, y, z, and the real constants p, q, r satisfy xpq - r2 = yqr - p2 = zrp - q2 Given that the denominators are non-zero, the value…
- Question 5 – Take two long dice (rectangular parallelepiped), each having four rectangular faces labelled as 2, 3, 5, and 7. If thrown, the long dice cannot land…
- Question 6 – In the given text, the blanks are numbered (i)−(iv). Select the best match for all the blanks. Prof. P (i) merely a man who narrated funny stories.…
- Question 7 – How many combinations of non-null sets A, B, C are possible from the subsets of 2, 3, 5 satisfying the conditions: (i) A is a subset of B, and (ii) B…
- Question 8 – The bar chart gives the batting averages of VK and RS for 11 calendar years from 2012 to 2022. Considering that 2015 and 2019 are world cup years,…
- Question 9 – A planar rectangular paper has two V-shaped pieces attached as shown below. [Figure: A long horizontal paper strip with a V-shaped chevron piece…
- Question 10 – Four equilateral triangles are used to form a regular closed three-dimensional object by joining along the edges. The angle between any two faces is
- Question 11 – In order to numerically solve the ordinary differential equation dydt = -y for t > 0, with an initial condition y(0) = 1, the following scheme is…
- Question 12 – The value of the surface integral S z\,dx\,dy where S is the external surface of the sphere x2 + y2 + z2 = R2 is
- Question 13 – Let f(z) be an analytic function, where z = x + iy. If the real part of f(z) is x y, and the imaginary part of f(z) is zero for y = 0, then f(z) is
- Question 14 – Consider the system of linear equations x + 2y + z = 5 2x + ay + 4z = 12 2x + 4y + 6z = b The values of a and b such that there exists a non-trivial…
- Question 15 – Let f() be a twice differentiable function from R2 R. If p, x 0 R2 where \ p\ is sufficiently small (here \ \ is the Euclidean norm or distance…
- Question 16 – The velocity field of a two-dimensional, incompressible flow is given by V = 2 x\,i + v(x, y)\,j where i and j denote the unit vectors in x and y…
- Question 17 – A plane, solid slab of thickness L, shown in the figure, has thermal conductivity k that varies with the spatial coordinate x as k = A + Bx, where A…
- Question 18 – Consider incompressible laminar flow over a flat plate with freestream velocity of u . The Nusselt number corresponding to this flow velocity is Nu 1.…
- Question 19 – Consider a hydrodynamically fully developed laminar flow through a circular pipe with the flow along the axis (i.e., z direction). In the following…
- Question 20 – A furnace can supply heat steadily at 1200 K at a rate of 24000 kJ/min. The maximum amount of power (in kW) that can be produced by using the heat…
- Question 21 – Which one of the following statements regarding a Rankine cycle is FALSE?
- Question 22 – For a ball bearing, the fatigue life in millions of revolutions is given by L = (CP)n, where P is the constant applied load and C is the basic dynamic…
- Question 23 – The change in kinetic energy E of an engine is 300 J, and minimum and maximum shaft speeds are min = 220 rad/s and max = 280 rad/s, respectively.…
- Question 24 – A ram in the form of a rectangular body of size l = 9 m and b = 2 m is suspended by two parallel ropes of lengths 7 m. Assume the center-of-mass of…
- Question 25 – A linear spring-mass-dashpot system with a mass of 2 kg is set in motion with viscous damping. If the natural frequency is 15 Hz, and the amplitudes…
- Question 26 – Which one of the following failure theories is the most conservative design approach against fatigue failure?
- Question 27 – A rigid massless tetrahedron is placed such that vertex O is at the origin and the other three vertices A, B, and C lie on the coordinate axes as…
- Question 28 – The phases present in pearlite are
- Question 29 – The "Earing" phenomenon in metal forming is associated with
- Question 30 – The grinding wheel used to provide the best surface finish is
- Question 31 – The allowance provided to a pattern for easy withdrawal from a sand mold is
- Question 32 – The most suitable electrode material used for joining low alloy steels using Gas Metal Arc Welding (GMAW) process is
- Question 33 – The preparatory functions in Computer Numerical Controlled (CNC) machine programing are denoted by the alphabet
- Question 34 – A set of jobs U, V, W, X, Y, Z arrive at time t = 0 to a production line consisting of two workstations in series. Each job must be processed by both…
- Question 35 – A queueing system has one single server workstation that admits an infinitely long queue. The rate of arrival of jobs to the queueing system follows…
- Question 36 – The matrix bmatrix 1 & a \\ 8 & 3 bmatrix (where a > 0) has a negative eigenvalue if a is greater than
- Question 37 – In the pipe network shown in the figure, all pipes have the same cross-section and can be assumed to have the same friction factor. The pipes…
- Question 38 – A company orders gears in conditions identical to those considered in the economic order quantity (EOQ) model in inventory control. The annual demand…
- Question 39 – At the current basic feasible solution (bfs) v 0 (v 0 R5), the simplex method yields the following form of a linear programming problem in standard…
- Question 40 – Steady, compressible flow of air takes place through an adiabatic converging-diverging nozzle, as shown in the figure. For a particular value of…
- Question 41 – Which of the following beam(s) is/are statically indeterminate?
- Question 42 – If the value of the double integral x=34 y=12dy\,dx(x + y)2 is e(a/24), then a is (*answer in integer*).
- Question 43 – If x(t) satisfies the differential equation tdxdt + (t - x) = 0 subject to the condition x(1) = 0, then the value of x(2) is (*rounded off to 2…
- Question 44 – Let X be a continuous random variable defined on [0, 1] such that its probability density function f(x) = 1 for 0 x 1 and 0 otherwise. Let Y = e(X +…
- Question 45 – Consider an air-standard Brayton cycle with adiabatic compressor and turbine, and a regenerator, as shown in the figure. Air enters the compressor at…
- Question 46 – A piston-cylinder arrangement shown in the figure has a stop located 2 m above the base. The cylinder initially contains air at 140 kPa and 350 °C and…
- Question 47 – A heat pump (H.P.) is driven by the work output of a heat engine (H.E.) as shown in the figure. The heat engine extracts 150 kJ of heat from the…
- Question 48 – Consider a slab of 20 mm thickness. There is a uniform heat generation of q = 100 MW/m3 inside the slab. The left and right faces of the slab are…
- Question 49 – A condenser is used as a heat exchanger in a large steam power plant in which steam is condensed to liquid water. The condenser is a shell and tube…
- Question 50 – Consider a hemispherical furnace of diameter D = 6 m with a flat base. The dome of the furnace has an emissivity of 0.7 and the flat base is a…
- Question 51 – A liquid fills a horizontal capillary tube whose one end is dipped in a large pool of the liquid. Experiments show that the distance L travelled by…
- Question 52 – The Levai type-A train illustrated in the figure has gears with module m = 8 mm/tooth. Gears 2 and 3 have 19 and 24 teeth respectively. Gear 2 is…
- Question 53 – A horizontal beam of length 1200 mm is pinned at the left end and is resting on a roller at the other end as shown in the figure. A linearly varying…
- Question 54 – At the instant when OP is vertical and AP is horizontal, the link OD is rotating counter clockwise at a constant rate = 7 rad/s. Pin P on link OD…
- Question 55 – A vibratory system consists of mass m, a vertical spring of stiffness 2k and a horizontal spring of stiffness k. The end A of the horizontal spring is…
- Question 56 – A solid massless cylindrical member of 50 mm diameter is rigidly attached at one end, and is subjected to an axial force P = 100 kN and a torque T =…
- Question 57 – The figure shows a thin cylindrical pressure vessel constructed by welding plates together along a line that makes an angle = 60° with the horizontal.…
- Question 58 – A three-hinge arch ABC in the form of a semi-circle is shown in the figure. The arch is in static equilibrium under vertical loads of P = 100 kN and Q…
- Question 59 – A band brake shown in the figure has a coefficient of friction of 0.3. The band can take a maximum force of 1.5 kN. The maximum braking force (F) that…
- Question 60 – A cutting tool provides a tool life of 60 minutes while machining with the cutting speed of 60 m/min. When the same tool is used for machining the…
- Question 61 – Aluminium is casted in a cube-shaped mold having dimensions as 20 mm × 20 mm × 20 mm. Another mold of the same mold material is used to cast a sphere…
- Question 62 – A blanking operation is performed on C20 steel sheet to obtain a circular disc having a diameter of 20 mm and a thickness of 2 mm. An allowance of…
- Question 63 – In an arc welding process, the voltage and current are 30 V and 200 A, respectively. The cross-sectional area of the joint is 20 mm2 and the welding…
- Question 64 – A flat surface of a C60 steel having dimensions of 100 mm (length) × 200 mm (width) is produced by a HSS slab mill cutter. The 8-toothed cutter has…
- Question 65 – In a supplier-retailer supply chain, the demand of each retailer, the capacity of each supplier, and the unit cost in rupees of material supply from…