GATE 2025 MT – Previous Year Questions with Solutions
All 65 questions of GATE 2025 MT with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – Despite his initial hesitation, Rehman’s to contribute to the success of the project never wavered. Select the most appropriate option to complete the…
- Question 2 – Bird : Nest :: Bee : Select the correct option to complete the analogy.
- Question 3 – If Pex=Qe-x for all real values of x, which one of the following statements is true?
- Question 4 – The paper shown in the figure is folded to make a cube, where each square corresponds to a particular face. Which option correctly represents the…
- Question 5 – Let p 1 and p 2 denote two arbitrary prime numbers. Which statement is correct for all values of p 1 and p 2?
- Question 6 – Based only on the conversation below, identify the logically correct inference: “Even if I had known that you were in the hospital, I would not have…
- Question 7 – If IMAGE and FIELD are coded as FHBNJ and EMFJG respectively then, which one among the given options is the most appropriate code for BEACH ?
- Question 8 – Which option is correct for the data below? Iteration i 0 1 2 3 --- ---: ---: ---: ---: Input I 20 −4 10 15 Output X 20 16 26 41 Output Y 20 −80 −800…
- Question 9 – In the figure, PQRS is a square of side 2 cm and PLMN is a rectangle. Corner L of the rectangle lies on side QR. Side MN passes through corner S of…
- Question 10 – The diagram shows a river system with seven segments P, Q, R, S, T, U, and V, splitting the land into five zones Z1, Z2, Z3, Z4, and Z5. The zones…
- Question 11 – Which one of the following matrices has eigenvalues 1 and 6?
- Question 12 – For an isobaric process, the heat transferred is equal to the change in of the system.
- Question 13 – Match each crystal defect in Column I with its corresponding type in Column II. Column I: P. Edge dislocation Q. Stacking fault R. Frenkel defect S.…
- Question 14 – At high temperatures, which empirical expression correctly describes the variation of dynamic viscosity of a Newtonian liquid with absolute…
- Question 15 – Which one of the following is an intensive property?
- Question 16 – Hot metal from a blast furnace is treated with mill scale prior to oxygen steelmaking for .
- Question 17 – In optical microscopy, which one of the following combinations of wavelength (λ) and numerical aperture (NA) provides the best spatial resolution?
- Question 18 – The coordination number for an octahedral site in pure copper is .
- Question 19 – Consider the gas-phase reaction 2SO 2+ O 22SO 3. If its enthalpy of reaction is negative, which condition promotes a higher equilibrium concentration…
- Question 20 – Which one of the following slag components is responsible for the oxidizing power of steelmaking slags?
- Question 21 – Two randomly oriented polycrystalline copper samples with average grain sizes of 10 μm (Sample A) and 100 μm (Sample B) were tested at room…
- Question 22 – In metal casting, which one of the following gating ratios (sprue-runner-gate area ratio) represents a non-pressurized gating system?
- Question 23 – In the Fe–C system, the invariant reaction Liquid+ takes place at 1493 °C. This reaction is called .
- Question 24 – Match the elements in Column I with their respective ores in Column II. Column I: P. Al Q. Fe R. Ti S. Cu Column II: 1. Rutile 2. Hematite 3.…
- Question 25 – Which of the following functions is/are expandable using Maclaurin series?
- Question 26 – With reference to edge and screw dislocations, which of the following statements is/are CORRECT?
- Question 27 – Which of the following conditions is/are favorable for producing low-silicon hot metal in blast furnace ironmaking?
- Question 28 – Which of the following statements is/are CORRECT with respect to the initial stage of GP zone formation in a precipitation hardenable Al - 4.5 wt.% Cu…
- Question 29 – Which of the following techniques can be used to detect an internal defect in a metal casting?
- Question 30 – Standard Gibbs free energies of formation of solid oxides per mole of O 2 at 1000 K are: SiO 2: −728 kJ; TiO 2: −737 kJ; VO: −712 kJ; MnO: −624 kJ.…
- Question 31 – Consider fully developed, steady, one-dimensional laminar flow of a Newtonian liquid through a pipe. Its maximum velocity is proportional to which…
- Question 32 – The hydrostatic stress for the stress tensor =bmatrix150&0&0\\0&-100&100\\0&100&250bmatrix\ MPa is MPa (in integer).
- Question 33 – For an application where the Reynolds number is to be kept constant, a liquid with a density of 1 g cm−3 and viscosity 0.01 Poise results in a…
- Question 34 – For the gas-phase reaction CO+12 O 2CO 2, equilibrium partial pressures at a particular temperature are p CO=10-6 atm, p O 2=10-6 atm, and p CO 2=16…
- Question 35 – A linear regression model was fitted to (x,y) data. The total sum of squares and sum of squares of error are 1200 and 120, respectively. The…
- Question 36 – For two continuous functions M(x,y) and N(x,y), the relation M\,dx+N\,dy=0 describes an exact differential equation if
- Question 37 – Consider the phase diagram of a one-component system. V , V , and V Liquid are the molar volumes of the α, β, and liquid phases, respectively. Which…
- Question 38 – Match the steel-plant processes in Column I with the associated information in Column II. Column I: P. Corex Q. Electric Arc Furnace R. Midrex S.…
- Question 39 – Radiative heat flux q at a hot surface of temperature T s is expressed as q=A f(T s,T )(T s-T ), where A is a constant and T is the surroundings…
- Question 40 – Match the phenomena in Column I with the typical observations in Column II. Column I: P. Dynamic strain aging Q. Recrystallization R. Bauschinger…
- Question 41 – Which one of the following matrices is orthogonal?
- Question 42 – Match the casting defects in Column I with the characteristic features in Column II. Column I: P. Misrun Q. Expansion scab R. Pin holes S. Hot tearing…
- Question 43 – The following are the activation energies for diffusion of carbon and iron at 773 K in polycrystalline BCC iron: P = Activation energy for diffusion…
- Question 44 – Front tension is applied during cold rolling of a thin metal sheet. Which of the following statements is/are TRUE?
- Question 45 – Which of the following statements is/are CORRECT when Ni is added as an alloying element to a low alloy steel?
- Question 46 – Which of the following statements is/are CORRECT with respect to fusion welding and solid-state welding of metals and alloys?
- Question 47 – Which of the following welding processes does NOT / do NOT utilize consumable electrode?
- Question 48 – For the two-dimensional field T(x,y)=13xy(x+y), the magnitude of its gradient at (1,1) is (rounded to two decimal places).
- Question 49 – X-ray diffraction using monochromatic radiation of wavelength 0.154 nm is performed on powder samples of metal A (FCC structure) and metal B (BCC…
- Question 50 – The excess molar Gibbs free energy of a solution of elements A and B at 1000 K is GXS=-3000X AX B\ J\,mol-1, where X A and X B are mole fractions. The…
- Question 51 – Molten steel at 1900 K containing dissolved hydrogen must be vacuum degassed. The equilibrium hydrogen partial pressure needed to achieve 1 ppm (mass…
- Question 52 – The value of x06(x- x)x3 is (in integer).
- Question 53 – Consider the reactions and standard Gibbs free energies (J): Fe(s)+12 O 2(g)FeO(s), G=-264900+65T. 2 H 2(g)+ O 2(g)2 H 2O(g), G=-492900+109T. Assume…
- Question 54 – Spherical galena particles have the same settling velocity in water as spherical quartz particles of diameter 25 μm. The galena diameter is μm…
- Question 55 – For Mg+Cd2+Mg2++Cd, the standard Gibbs free energy change is kJ (rounded to an integer). Standard oxidation potentials relative to the standard…
- Question 56 – Copper is electrodeposited from a CuSO 4 bath onto a stainless-steel cathode of total surface area 2 m2. The current density is 200 A m-2 and current…
- Question 57 – An intrinsic semiconductor has conductivity 100 Ω-1 m-1 at 300 K and 300 Ω-1 m-1 at 500 K. Its band gap is eV (rounded to two decimal places). Given:…
- Question 58 – A component made from alloy A, with plane-strain fracture toughness K IC=50\ MPa\,m1/2, fractures at crack length 0.4 mm under tensile service stress…
- Question 59 – The two sides of a 0.4 m thick copper plate are at 1000 and 500 °C. Assuming steady, one-dimensional conduction and ignoring end effects, the…
- Question 60 – Nabarro–Herring diffusion creep controls deformation in polycrystalline Ni at a certain temperature. The steady strain rate is 10-8\ s-1 at 10 MPa.…
- Question 61 – A single-crystal BCC metal with lattice parameter a=0.4 nm deforms at shear strain rate 0.001\ s-1. Its average mobile dislocation density is 1010\…
- Question 62 – A cylindrical specimen is plastically deformed in tension to a uniform elongation of 10%. The final gage cross-sectional area is 20 mm2. Its initial…
- Question 63 – The reaction A B follows first-order kinetics. At a given temperature, 20% conversion occurs in 223 s. The time to reach 50% conversion at the same…
- Question 64 – A cylindrical Al-alloy billet of diameter 300 mm is hot extruded to a cylindrical rod of diameter 75 mm at constant true strain rate =10\ s-1. At the…
- Question 65 – Two consecutive Newton–Raphson estimates of a root of f(x) are x i=8.5 and x i+1=13.5, with f(x i)=15. The first derivative f(x i) is (in integer).