GATE 2022 MT – Previous Year Questions with Solutions
All 65 questions of GATE 2022 MT with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – Mr. X speaks Japanese Chinese.
- Question 2 – A sum of money is to be distributed among P, Q, R, and S in the proportion 5 : 2 : 4 : 3, respectively. If R gets ₹ 1000 more than S, what is the…
- Question 3 – A trapezium has vertices marked as P, Q, R and S (in that order anticlockwise). The side PQ is parallel to side SR. Further, it is given that, PQ = 11…
- Question 4 – The figure shows a grid formed by a collection of unit squares. The unshaded unit square in the grid represents a hole. What is the maximum number of…
- Question 5 – An art gallery engages a security guard to ensure that the items displayed are protected. The diagram below represents the plan of the gallery where…
- Question 6 – Mosquitoes pose a threat to human health. Controlling mosquitoes using chemicals may have undesired consequences. In Florida, authorities have used…
- Question 7 – Which expression satisfies both inequalities 2x-1>7 and 2x-9<1?
- Question 8 – Four points P(0,1),Q(0,-3),R(-2,-1),S(2,-1) are the vertices of a quadrilateral. Its enclosed area is
- Question 9 – In a class of five students P, Q, R, S and T, only one student is known to have copied in the exam. The disciplinary committee has investigated the…
- Question 10 – A square has corners P, Q, R, S and centre T as shown. Define X as a 180° rotation about the S–Q axis, Y as a 180° rotation about P–R, and Z as a 90°…
- Question 11 – The Taylor series of f(x)=(x+1)/(ex+1) about x=0, truncated to its first two terms, is
- Question 12 – By Sieverts’ law, the equilibrium solubility of nitrogen gas in molten steel is proportional to . Its equilibrium partial pressure is p N 2.
- Question 13 – Titanium is produced commercially by
- Question 14 – Magnesium treatment is carried out to produce cast iron.
- Question 15 – The sequence of peaks corresponding to the planes (in the order of increasing 2𝜃) observed in the X-ray diffractogram of a pure copper powder sample…
- Question 16 – Which one of the following Non Destructive Testing (NDT) techniques CANNOT be used to identify volume defects in the interior of a casting?
- Question 17 – Neutral point in rolling is defined as the point along the surface of contact between the roll and the sheet, where the surface velocity of the roll…
- Question 18 – In fluid flow, the dimensionless number that describes the transition from laminar to turbulent flow is
- Question 19 – Which one of the following elements has the slowest removal rate from hot metal in basic oxygen furnace (BOF) steelmaking?
- Question 20 – Match the nature of bonding to the material. Column I: P. Ionic Q. Covalent R. Metallic S. Secondary Column II: 1. Diamond 2. Silver 3. NaCl 4. Solid…
- Question 21 – Which one of the following figures illustrates a lap joint with fillet weld?
- Question 22 – The CCT diagram of a eutectoid steel with a superimposed cooling curve is shown in the figure. The microstructure at room temperature (RT) after this…
- Question 23 – A closed volume V is bounded by surface S with outward unit normal n. For vector field f and gradient operator , which theorem gives V( f)\,dV= S( n…
- Question 24 – In green sand moulding, the casting defect resulting from the displacement of mould cavity by an oversized core is known as
- Question 25 – Which one of the following modern practices is used for retarding the solution loss reaction in blast furnace ironmaking?
- Question 26 – A strain-hardening material develops necking instability in tension when . Here is true stress and true strain.
- Question 27 – Match forming processes to their characteristic defects. Column I: P. Extrusion Q. Deep drawing R. Forging S. Rolling Column II: 1. Earing 2. Cold…
- Question 28 – With increase in carbon content (up to 2 mass%) in Fe-C alloy, which one of the following statements is correct with respect to the lattice parameters…
- Question 29 – Match crack-deformation modes: P. Mode I; Q. Mode II; R. Mode III. Column B: X. Forward shear; Y. Parallel shear; Z. Crack opening.
- Question 30 – In continuous casting of steel, mould flux is used for
- Question 31 – Identify the correct statement(s) with respect to the role of nickel as an alloying element in steels.
- Question 32 – While designing a material for high temperature application, which of the following characteristic(s)/attribute(s) is(are) desirable for achieving…
- Question 33 – Let ,,v denote strain rate, dislocation density, and dislocation velocity. If Orowan’s equation for dislocation plastic flow holds, which…
- Question 34 – For normally distributed observation errors, the interval 1.96, where is standard deviation, corresponds to % confidence (nearest integer).
- Question 35 – A Newtonian incompressible liquid lies between parallel plates separated by 10-3 m, as shown. A shear stress of 5 Pa maintains upper-plate speed 2 m/s…
- Question 36 – The general solution of d2y/dt2-4dy/dt+4y=0, with arbitrary constants A,B, is
- Question 37 – Which equation fails to converge to a root under Newton–Raphson iteration starting at x=0.5?
- Question 38 – Match mineral-processing operations with physical principles. Column I: P. Flotation Q. Jigging R. Tabling S. Comminution Column II: 1. Difference in…
- Question 39 – Figures P, Q, R and S schematically show the atomic dipole moments in the absence of external magnetic field. Which one of the following is the…
- Question 40 – Match the dislocation reactions P–R to descriptions 1–3. Here a 0 is the lattice parameter. P. (a 0/2)[11 1]+(a 0/2)[111]=a 0[001] Q. (a 0/6)[121]+(a…
- Question 41 – Match phenomena with descriptions. Column I: P. Cottrell atmosphere Q. Suzuki interaction R. Bauschinger effect S. Nabarro–Herring creep Column II: 1.…
- Question 42 – A 33 matrix has determinant −48 and trace 8. If one eigenvalue is 4, the other two are
- Question 43 – Which of the following statement(s) is(are) TRUE about black body radiation?
- Question 44 – Which of the following parameter(s) influence(s) the melting rate of the consumable wire in a gas metal arc welding process?
- Question 45 – A fixed nonrotating smooth sphere is in a horizontal, slow, steady inviscid incompressible stream of density . Far-field flow near O is fully…
- Question 46 – In high-temperature tensile tests at the same strain, an alloy has flow stress 50 MPa at strain rate 0.1 s-1 and 70 MPa at 10 s-1. Its strain-rate…
- Question 47 – A gas bubble of radius 0.01 mm is trapped in molten steel at 1773 K. External pressure is 1.5 bar and surface tension at this temperature is 1.4 N/m.…
- Question 48 – Find the equilibrium ratio p CO/p CO 2 at 1873 K for the reaction Mo(s)+ O 2(g)MoO 2(s) (two decimal places). Given: fG 1873=-262300 J, a MoO 2=0.5,…
- Question 49 – The cell Au–Pb(liquid) PbCl 2–KCl(liquid) Cl 2(gas, 0.5 atm), C(graphite) has emf 1.2327 V at 873 K. Pb activity in the alloy is 0.72; PbCl 2 activity…
- Question 50 – Consider a tilt boundary of misorientation of 2୭in an aluminium grain. The lattice parameter of aluminium is 0.143 nm. The spacing between the…
- Question 51 – Molten steel at 1873 K weighing 100 metric tons is desulfurized using 1250 kg of synthetic slag by equilibration. If the sulfur content in the steel…
- Question 52 – An alloy has the following high-cycle fatigue data for alternating stress a: Stress (MPa) Cycles to failure ---: ---: 500 1000 400 10000 300 100000…
- Question 53 – The partial molar enthalpy of Au in an Ag–Au melt containing 25 mol% Au at 1400 K is −8300 J/mol. Assuming regular-solution behaviour, the activity of…
- Question 54 – A block consists of Materials I and II with identical cross-sections and equal thicknesses 25 mm, as shown. Bottom and top temperatures are 435 K and…
- Question 55 – During solidification of a pure metal at undercooling 10 K, the critical-nucleus radius is 10-9 m (one decimal place). Solid–liquid interface energy…
- Question 56 – For x>0, solute concentration is C=a 1x2+a 2x atoms/mm3, where x is in mm and a 1,a 2 have units atoms/mm5 and atoms/mm4. Set their numerical values…
- Question 57 – Assuming Dulong–Petit for a monoatomic solid, C p/C v at 500 K is (three decimal places). Given molar volume 710-6 m3/mol, isothermal compressibility…
- Question 58 – A sieve made of steel wire of diameter 53 µm has an aperture size of 74 µm. Its mesh number is (round off to the nearest integer).
- Question 59 – Steel plates are autogenously GTA welded with arc efficiency 0.65. The first weld uses 200 A, 18 V, and speed 0.002 m/s. The second uses speed 0.0022…
- Question 60 – A cylindrical aluminium-alloy specimen is cold-extruded from diameter 30 mm to 20 mm. Its true flow law is =3500.3 MPa. The ideal plastic work per…
- Question 61 – Estimate the integral of f(x)=0.2+10x2 from 0 to 1 by the single-segment trapezoidal rule: (one decimal place).
- Question 62 – Air enters a tube at 300 K and 1.5 kg/s. Tube inner diameter is 0.08 m, inner-wall temperature 700 K, and outlet-air temperature 600 K. For purely…
- Question 63 – The stress tensor is bmatrix130&30&0\\30&50&0\\0&0&0bmatrix MPa. Its maximum shear stress is MPa (nearest integer).
- Question 64 – A set of 11 (x, y) data points is least-squares fitted to a quadratic polynomial. If the sum of squares of error is 2.4, the variance of error is…
- Question 65 – The equilibrium microstructure of an alloy A-B consists of two phases α and β in the molar proportion 2:1. If the overall composition of the alloy is…