GATE 2025 ME – Previous Year Questions with Solutions
All 65 questions of GATE 2025 ME with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – Fish : Shoal :: Lion : Select the correct option to complete the analogy.
- Question 2 – Identify the grammatically correct sentence:
- Question 3 – Two cars, P and Q, start from a point X in India at 10 AM. Car P travels North with a speed of 25 km/h and car Q travels East with a speed of 30 km/h.…
- Question 4 – The ceiling function of a real number x, denoted by ce(x), is defined as the smallest integer that is greater than or equal to x. Similarly, the floor…
- Question 5 – P and Q play chess frequently against each other. Of these matches, P has won 80% of the matches, drawn 15% of the matches and lost 5% of the matches.…
- Question 6 – Identify the option that has the most appropriate sequence such that a coherent paragraph is formed: P. At once, without thinking much, people rushed…
- Question 7 – If HIDE and CAGE are coded as 19-23-7-11 and 5-2-17-11 respectively, then what is the code for HIGH?
- Question 8 – The given figure is reflected about the horizontal dashed line and then rotated clockwise by 90° about an axis perpendicular to the plane of the…
- Question 9 – Which one of the following options has the correct sequence of objects arranged in the increasing number of mirror lines (lines of symmetry)?
- Question 10 – A final year student appears for placement interview in two companies, S and T. Based on her interview performance, she estimates the probability of…
- Question 11 – Let **A** and **B** be real symmetric matrices of same size. Which one of the following options is correct?
- Question 12 – For the differential equation given below, which one of the following options is correct? 2 u x2 + 2 u y2 = 0 0 x 1, 0 y 1
- Question 13 – The divergence of the curl of a vector field is
- Question 14 – If two unbiased coins are tossed, then what is the probability of having at least one head?
- Question 15 – Let a spherical block of ice at -7 °C be exposed to atmospheric air at 30 °C with the gravitational direction as shown in the figure below. What will…
- Question 16 – Consider two identical tanks with a bottom hole of diameter d. One tank is filled with water and the other tank is filled with engine oil. The height…
- Question 17 – In a laboratory experiment using a scaled down model to measure scour at a bridge pier, the Froude number is important. The ratio of the prototype…
- Question 18 – Air inside a rigid, thermally-insulated tank undergoes stirring as shown in the figure below. Which one of the following options is correct?
- Question 19 – In a psychrometric chart, one axis represents dry-bulb temperature. The axis, that is perpendicular to the dry-bulb temperature axis, represents
- Question 20 – Among the following surface hardening processes, steel is heated to the lowest temperature in
- Question 21 – The welding process commonly used for fabricating tailor-welded blanks of dissimilar thickness for automotive applications is
- Question 22 – The yield stress of a metal in uniaxial tension is 200 MPa. According to von Mises yield criterion, the yield stress (in MPa) of the metal in pure…
- Question 23 – In computer aided design (CAD), solid models can be constructed using
- Question 24 – Ceramics and glass are machined by
- Question 25 – When assembled, the hole 30+0.030 +0.000 mm and shaft 30+0.020 -0.020 mm will result in
- Question 26 – A rigid circular disc of radius r (in m) is rolling without slipping on a flat surface as shown in the figure below. The angular velocity of the disc…
- Question 27 – A truss structure is loaded as shown in the figure below. Among the options given, which member in the truss is a zero-force member?
- Question 28 – A metallic square plate is subjected to a uniform hydrostatic pressure (P). Choose the correct Mohr's circle representing the state of stress at any…
- Question 29 – In the context of balancing of rotating and reciprocating masses, which one of the following options is true?
- Question 30 – A shaft carries a helical spur gear. Which one of the following bearings can NOT be used to support it?
- Question 31 – The values of a function f obtained for different values of x are shown in the table below. x 0 0.25 0.5 0.75 1.0 --- --- --- --- --- --- f(x) 0.9 2.0…
- Question 32 – The thermal efficiency of an ideal air-standard Otto cycle is 0.5. The value of specific heat ratio of air is 1.4. The compression ratio of the cycle…
- Question 33 – During a welding operation, thermal power of 2500 W is incident normally on a metallic surface. As shown in the figure below (figure is NOT to scale),…
- Question 34 – A liquid metal is poured in a mold cavity of size 200 mm 200 mm 200 mm. The cooling is uniform in all directions with NO additional compensation for…
- Question 35 – A block of mass 1 kg connected to a spring of stiffness 10 N m-1 is operating in a viscous medium such that the damping ratio (or damping factor) is…
- Question 36 – In the closed interval [0, 3], the minimum value of the function f given below is f(x) = 2x3 - 9x2 + 12x
- Question 37 – Considering the actual demand and the forecast for a product given in the table below, the mean forecast error and the mean absolute deviation,…
- Question 38 – Match the mold elements in the casting process with the most suitable function Mold element Function --- --- --- --- P Blind riser I Casting with…
- Question 39 – Wire drawing operation is performed on a perfectly plastic metal without any strain hardening. Assuming no friction and no redundant work, the maximum…
- Question 40 – In relation to additive manufacturing, match the following Process Layer creation technique Material --- --- --- --- --- --- P Stereolithography 1…
- Question 41 – A plate of 30 mm thickness is fed through a rolling mill with two powered rolls. Each roll has a diameter of 500 mm. The plate thickness is to be…
- Question 42 – The system shown in the figure below consists of a cantilever beam (with flexural rigidity EI and negligible mass), a spring (with spring constant K…
- Question 43 – The endurance limit of a specific grade of steel is same as its yield strength. The ultimate strength of this grade of steel is twice of its yield…
- Question 44 – For a fully-developed pipe flow, which of the following options is/are correct?
- Question 45 – If C is the unit circle in the complex plane with its center at the origin, then the value of n in the equation given below is (rounded off to 1…
- Question 46 – The directional derivative of the function f given below at the point (1, 0) in the direction of 12(i + 3\,j) is (rounded off to 1 decimal place).…
- Question 47 – Let y be the solution of the differential equation with the initial conditions given below. If y(x = 2) = A 2, then the value of A is (rounded off to…
- Question 48 – Consider a cylindrical furnace of 5 m diameter and 5 m length with bottom, top and curved surfaces maintained at uniform temperatures of 800 K, 1500 K…
- Question 49 – A pitot tube connected to a U-tube mercury manometer measures the speed of air flowing in the wind tunnel as shown in the figure below. The density of…
- Question 50 – Consider a velocity field V = 3z\,i + 0\,j + Cx\,k, where C is a constant. If the flow is irrotational, the value of C is (rounded off to 1 decimal…
- Question 51 – Water enters a tube of diameter, D = 60 mm with mass flow rate of 0.01 kg s-1 as shown in the figure below. The inlet mean temperature is T m,i = 293…
- Question 52 – A thermal power plant is running with no reheat or regeneration. The specific enthalpy and specific entropy of steam at the turbine inlet are 3344 kJ…
- Question 53 – Consider a Pelton wheel of 1 m diameter. The magnitude of relative velocity of water at the bucket inlet is same as the magnitude of relative velocity…
- Question 54 – A thermodynamically closed system contains 1 kg of hydrogen. The system undergoes a reversible polytropic process with polytropic index 1.3. The work…
- Question 55 – A heat pump, operating in reversed Carnot cycle, maintains a steady air temperature of 300 K inside an auditorium. The heat pump receives heat from…
- Question 56 – The state of stress at a point is shown in the figure given below. Under plane stress assumption, the normal strain along the thickness direction (…
- Question 57 – A simply supported beam of length 1 m is subjected to a uniformly distributed bending moment of 1 N m per m throughout the length as shown in the…
- Question 58 – An isotropic brittle material is tested in the universal testing machine. The stress-strain diagram for the material shows a bi-linear elastic…
- Question 59 – A pair of spur gears is required to maintain a velocity ratio of 1:2. The module of the gears is 10 mm and the addendum is 10 mm. If the operating…
- Question 60 – An offset slider-crank mechanism is shown in the figure below. The length of the stroke of the slider is mm (rounded off to nearest integer).
- Question 61 – Two plates of thickness 10 mm each are to be joined by a transverse fillet weld on one side and the resulting structure is loaded as shown in the…
- Question 62 – Two metal parts (a cylinder and a cube) of same volume are cast under identical conditions. The diameter of the cylinder is equal to its height. The…
- Question 63 – Cylindrical workpieces of diameter 60 mm and length 400 mm are machined on a lathe at a cutting speed of 25 m min-1 and a feed of 0.2 mm rev-1. The…
- Question 64 – A company uses 3000 units of a part annually. The units are priced as given in the table below. It costs ₹ 150 to place an order. Carrying costs are…
- Question 65 – A project involves eight activities with the precedence relationship and duration as shown in the table below. The slack for the activity D is hours…