GATE 2026 ME – Previous Year Questions with Solutions
All 65 questions of GATE 2026 ME with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – 'The team more than 300 runs in 20 overs rains. However, some players needed to improve their batting skills.' Choose the option with the correct…
- Question 2 – If a positive real x satisfies the following equation 2 x + 2 x = 48, then the value of x is .
- Question 3 – The next figure (indicated by '?') in the sequence is
- Question 4 – 'All the mangoes in the basket are good.' If the above statement is **false**, then which one of the following statements is necessarily true?
- Question 5 – Consider the following statements about four numbers: (S1) The average of the four numbers is 25 (S2) Each number is at most 40 (S3) Each number is at…
- Question 6 – 'People are crowding around pit into which elephant has fallen. I have never seen an elephant looking more bewildered miserable. Here it is in a most…
- Question 7 – The table lists the unit selling price of five products P, Q, R, S, and T. On a particular day, 250 items were sold with the average selling price of…
- Question 8 – Consider a string P of length l that is laid out as a straight-line segment. Another string K is laid out as a semicircular arc with string P as its…
- Question 9 – The Roman senator Meritorius, his brother, his son, and his daughter have varying oratory skill levels. They are seated in rows and columns as shown…
- Question 10 – Which one of the patterns labelled P, Q, R, and S is used to generate the following figure?
- Question 11 – Domain A is bounded by curve x2 = 4y, ordinate x = 2, and x axis. The value of A y\,dx\,dy is
- Question 12 – Let be a scalar function. Then, is
- Question 13 – The order and degree of the following differential equation are m and n, respectively. 3 x3 + 2 y2 x + (2 x2)2 + y = 0 The value of (m - n) is
- Question 14 – Newton-Raphson method for solving algebraic equations is based on
- Question 15 – The exact solution of 04 dx1 + x is represented as n. If m represents numerically evaluated value of the above integral using Trapezoidal rule by…
- Question 16 – A horizontal disk has a radial frictionless slot in which a small block is confined to slide. The disk turns anticlockwise about its centre with a…
- Question 17 – A gear train with five gears is shown in the figure below. The number of teeth on each gear is N 1, N 2, N 3, N 4, and N 5. The idler gear in this…
- Question 18 – In a single degree of freedom vibrating system with only viscous damping, the critical damping coefficient is 350 N s/m and the damping coefficient is…
- Question 19 – A closely coiled helical compression spring of mean coil diameter D and wire diameter d, is loaded by an axial force F. The maximum shear stress…
- Question 20 – The rotor of an aeroplane engine has a mass moment of inertia 1.0 kg m2. The engine rotates at a speed of 500 RPM in the clockwise direction if viewed…
- Question 21 – A rectangular plate is perfectly welded to a gusset plate with parallel fillet weld joints as shown in the figure below. The length of the weld is l…
- Question 22 – Worm gearsets are used for transmitting rotary motion between
- Question 23 – For an ideal gas, starting from state point 1, two different processes take place. The corresponding final states in these two processes are 2 and 3,…
- Question 24 – A steady incompressible laminar flow passes through a 90° tube bend placed on a horizontal surface. In horizontal diametric plane, two pressure taps P…
- Question 25 – An ideal gas passes isothermally through a long horizontal uniform cross-section pipe under steady flow. Consider that the pressure gradient in the…
- Question 26 – Bernoulli's equation CANNOT be applied between
- Question 27 – A quiescent fluid at temperature T 3 is confined between two vertical parallel plates. While plate 1 is kept at temperature T 1 and plate 2 is…
- Question 28 – For the isothermal expansion of an ideal gas in a piston cylinder system, the net heat supplied during the process is equal to the net work. Which one…
- Question 29 – A hydraulic crane supports a mass of 500 kg with its piston-cylinder actuator, inclined at 60° with horizontal, as shown in the figure below. The…
- Question 30 – In relation to metal casting defects, match the following Defect Description --- --- --- --- P Dross I Shallow blow found on a flat casting surface Q…
- Question 31 – Which one of the following options is NOT an error associated with STereoLithography (STL) file in additive manufacturing?
- Question 32 – A work piece is to be firmly held in a fixture. It is to be machined by using a plain slab milling cutter as shown in the figure below. Which one of…
- Question 33 – A two-dimensional surface profile is obtained over a sampling length by using a contact type stylus profilometer as shown in the figure below. A line…
- Question 34 – A steel plate having yield strength of 550 MPa, is subjected to biaxial state of stress as x = and y = -2. Using distortion energy theory and…
- Question 35 – A sphere of radius 5 mm is initially in equilibrium at 400 °C in a furnace. It is suddenly removed from the furnace and dipped in a well-stirred water…
- Question 36 – If w = e z = e(x + iy), where i = -1, then which one of the following statements is correct?
- Question 37 – Consider the following differential equation y x = 3 y t + y If y(x, 0) = 10e-2x, then the solution of the differential equation is
- Question 38 – Let f(t) be a function of t defined for all positive values of t. The Laplace transform of f(t) denoted by L\f(t)\ = 0 e-stf(t)\,dt, provided that the…
- Question 39 – A student council of 10 members consists of two students from engineering school, three students from science school and five students from arts…
- Question 40 – A cantilever beam of length L is subjected to a concentrated load P and a moment M as shown in the figure below. Neglecting the mass of the beam,…
- Question 41 – Two structural members are connected by a hinge and they are externally loaded as shown in the figure below. A and B are roller supports, and C is a…
- Question 42 – A 5 kg mass is suspended at the free end of an overhanging massless beam, having a pin support and a roller support, as shown in the figure below.…
- Question 43 – A very long fin of a uniform square cross-section is replaced by another very long fin of a uniform circular cross-section of the same material.…
- Question 44 – For an ideal regenerative Rankine cycle, as shown in the figure below, which one of the following options is the correct representation of…
- Question 45 – Consider the Euler variables of polyhedral objects namely, P1, P2, P3, and P4 as given in the table below. Polyhedral objects Faces (F) Edges (E)…
- Question 46 – An objective function Z of primal variables (x 1 and x 2) is described below: Minimize Z = 0.07\,x 1 + 0.05\,x 2 subject to 0.1\,x 1 0.4, 0.1\,x 2…
- Question 47 – Four jobs are on order in a factory. As on day 20 of the production calendar, the corresponding due date and work remaining to complete these jobs (in…
- Question 48 – A block of 50 kg mass is on an inclined plane. The block is connected to another hanging mass M by an inextensible massless string through two…
- Question 49 – A simply supported beam is subjected to an external point load P as shown in the figure below. The beam has a rectangular cross-section of 20 mm 45…
- Question 50 – A rigid slender bar, AB, is sliding against two mutually perpendicular frictionless walls, as shown in the figure below. The velocity of A in the…
- Question 51 – A cylindrical pressure vessel made of steel has diameter of 3 m and wall thickness of 15 mm. For steel, Young's modulus and Poisson's ratio are 210…
- Question 52 – A welded square plate of 1 m 1 m is subjected to biaxial stress of magnitude 6.5 MPa and 25 MPa, as shown in the figure below. The ratio of the normal…
- Question 53 – Water with a density of 1000 kg/m3 comes out of an industrial condenser through a horizontal pipe of 15 cm radius at the flow rate of 4.5 m3/min. The…
- Question 54 – Two rectangular surfaces both having 1 m2 area are placed perpendicular to each other with a common edge. One surface is hot, having a temperature of…
- Question 55 – Convective heat transfer coefficients for Fluid 1 and Fluid 2 in a heat exchanger, as shown in the figure below, are 50 W/(m2K) and 80 W/(m2K),…
- Question 56 – A liquid comes out of the reactor of a chemical plant at 250 °C temperature with a flow rate of 100 LPM. The ambient temperature is 25 °C. Density and…
- Question 57 – A rigid closed vertical cylindrical vessel of 15 cm diameter contains 5 kg water at 80 °C with 10% quality. The water is heated till its temperature…
- Question 58 – An inward flow reaction turbine, having an outer diameter of 1 m, runs at 600 RPM. The normal component of absolute velocity at the inlet is 10 m/s.…
- Question 59 – In a deep drawing operation of a rectangular sheet metal, 30% stretching in length results in 15% reduction in thickness. Assuming volume constancy,…
- Question 60 – The actual demand for castings in a factory is 500 units and 635 units for the months of January 2026 and February 2026, respectively. The forecasted…
- Question 61 – The inventory holding cost of an item is ₹ 0.50 per unit per month and the ordering cost per order is ₹ 550. A stockist needs to supply 10000 units of…
- Question 62 – A metal has FCC crystal structure with 2.71 g/cm3 of density and 26.98 g/mol of atomic weight. The Avogadro's number is 6.023 1023. The atomic radius…
- Question 63 – During orthogonal turning by using a single point cutting tool, feed rate is 0.24 mm/rev. The uncut chip thickness is 0.23 mm. The shear angle,…
- Question 64 – A drill bit during its lifetime can produce 150 through holes in a plate at a drill-speed of 200 RPM. If the drill-speed increases to 300 RPM, then it…
- Question 65 – The activities of a PERT network and their corresponding activity time estimates (in weeks) i.e., optimistic (t o), most likely (t m), and pessimistic…