GATE 2020 MT – Previous Year Questions with Solutions
All 65 questions of GATE 2020 MT with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – He is known for his unscrupulous ways. He always sheds tears to deceive people.
- Question 2 – Jofra Archer, the England fast bowler, is than accurate.
- Question 3 – Select the word that fits the analogy: Build : Building :: Grow : .
- Question 4 – “I do not think you know the case well enough to have opinions. Having said that, I agree with your other point.” What does “having said that” mean in…
- Question 5 – Define [x] as the greatest integer less than or equal to x, for each x(-,). If y=[x], find the area under y for x[1,4].
- Question 6 – Crowd funding deals with mobilisation of funds for a project from a large number of people, who would be willing to invest smaller amounts through…
- Question 7 – P, Q, R and S are to be uniquely coded using and . If P is coded and Q is coded , then R and S, respectively, can be coded as .
- Question 8 – Find the sum of the first n terms in the sequence 8, 88, 888, 8888, ….
- Question 9 – Select the graph that schematically represents BOTH y=xm and y=x1/m properly in 0 x1, for integral m > 1. The choices are arranged A, B in the top row…
- Question 10 – The bar graph shows students who appeared and passed in an examination for schools P, Q, R and S. Find the average success rate (percentage) of the…
- Question 11 – The homogeneous ODE d2y/dt2+4dy/dt+3y=0 has general solution y=C 1eR 1t+C 2eR 2t. Find R₁ and R₂.
- Question 12 – The number of independent elastic constants of an isotropic material is
- Question 13 – A slip system consists of a slip plane and slip direction. Which is NOT valid in FCC copper?
- Question 14 – A dielectric material is an
- Question 15 – Which process is an example of an electrolytic cell?
- Question 16 – Which statement about selective leaching of a binary alloy is TRUE?
- Question 17 – In green-sand casting, which is NOT part of the gating system?
- Question 18 – One requirement for a material to exhibit superplasticity is
- Question 19 – Dye-penetrant testing for flaws is based on
- Question 20 – One mole of C₃H₈ at 300 K burns with stoichiometric oxygen at 300 K to form CO₂ and H₂O, giving adiabatic flame temperature 5975 K. Under the same…
- Question 21 – Two equal-diameter solid spheres X and Y have thermal diffusivities 10010-6 and 2510-6\ m2/s. Both are heated in a furnace at 1000 K. X reaches 800 K…
- Question 22 – Select the correct log–log spectral-emission plots for a gray surface and a black body, both at 1000 K.
- Question 23 – Given X=- i- j+ k, Y=- i+2 j+ k and Z= i+ k, which is TRUE?
- Question 24 – The angle between neighbouring tetrahedral bonds in diamond-cubic silicon is
- Question 25 – The precipitation sequence during aging of Al–4 wt.% Cu is
- Question 26 – The indenter used for Rockwell C hardness is a
- Question 27 – For y=ax, find dy/dx at x = 1.
- Question 28 – A cupola furnace is used to produce
- Question 29 – The functions y=ex and y=e-x intersect at
- Question 30 – A heavily cold-worked metal will
- Question 31 – For f(x) shown, find 01[1-f(x)]\,dx, rounded to 1 decimal place.
- Question 32 – A tensile component is monitored periodically by NDT that can detect surface and internal cracks only when larger than 1 mm. Keeping a 10% margin of…
- Question 33 – An iron plate of total exposed area 50 cm² loses 200 g through atmospheric corrosion over 10 years. Find corrosion rate in kg/(m² year), rounded to an…
- Question 34 – For cold rolling, the contact or bite angle must be at most what angle in degrees, to 1 decimal place, if roll–sheet friction coefficient is 0.1?
- Question 35 – Find the number of atoms per nm² in the (100) plane of FCC Pb, rounded to an integer. Atomic radius is 0.175 nm.
- Question 36 – In the shown edge-dislocation configuration, X and Y are fixed 2h apart on one slip plane. Z can glide on a parallel plane h away. All have identical…
- Question 37 – Which dislocation reaction is NOT feasible in an FCC crystal?
- Question 38 – A Zn–Fe galvanic cell has E0 Zn2+/Zn=-0.76 V and E0 Fe2+/Fe=-0.44 V, and spontaneously discharges at 0.5 V. Find the order of [Fe2+]/[Zn2+]. R = 8.314…
- Question 39 – Find the divergence of (x3+y3) i+3xy2 j+3zy2 k.
- Question 40 – Match products P gas-turbine blades, Q seamless tubing, R automotive cylinder blocks, S tungsten filament to processes 1 sand casting, 2 extrusion, 3…
- Question 41 – At x = 0.5, f(x)=x x+(1-x)(1-x)+3x(1-x) has
- Question 42 – Match P blast-furnace ironmaking, Q Hall–Héroult, R basic-oxygen steelmaking, S Kroll process to mechanisms 1 metallothermic reduction, 2 oxidation, 3…
- Question 43 – Match reactors P COREX, Q MIDREX, R flash smelting, S submerged-arc furnace to products 1 sponge iron, 2 copper matte, 3 hot metal/pig iron, 4…
- Question 44 – An elemental FCC metal gives its first X-ray peak at Bragg angle θ = 24.65°. Wavelength is 0.1543 nm. Find lattice parameter in nm.
- Question 45 – Match P gray iron, Q ductile iron, R zirconium alloy, S beryllium–copper to uses 1 uranium-fuel cladding, 2 heavy-machine bases, 3 valves/pump bodies,…
- Question 46 – Mg–Sn has eutectics: at 561°C, liquid (36.9 wt.% Sn) → α (14.48 wt.% Sn) + Mg₂Sn; at 203°C, liquid (97.87 wt.% Sn) → β-Sn (almost 100 wt.% Sn) +…
- Question 47 – Determine [a] Low-alloy steels used for medium-temperature creep resistance often contain strong carbide-forming elements; and [r] During creep,…
- Question 48 – Determine [a] Homogenization rate in a dilute substitutional solid solution of B in A is controlled by B diffusivity; and [r] Atomic migration cannot…
- Question 49 – Match elements P copper, Q iron, R mercury, S silicon to electronic behaviour 1 ferromagnetic, 2 superconducting, 3 semiconducting, 4 diamagnetic.
- Question 50 – Using hard spheres, find the largest atom radius fitting an octahedral void in BCC Fe without lattice distortion, in nm to 3 decimals. Fe atomic…
- Question 51 – Pipe diameters are normally distributed with mean 10 mm. The area under the normal curve between 9 and 10 mm is 0.35. Find probability of diameter…
- Question 52 – Use the trapezoidal rule with two equal intervals to approximate 01e-x2dx, to 2 decimal places.
- Question 53 – Iron corrodes in fresh water with dissolved oxygen 15 mM. Find anodic current density at overpotential 120 mV, in A/cm² to 3 decimals. Anodic Tafel…
- Question 54 – A metal oxidizes at 1200 K with parabolic rate constant 310-6\ g2\,cm-4\,s-1. How long to form a 2 μm film, in seconds to 2 decimals? Oxide density is…
- Question 55 – Fe–10 wt.% Ni and Fe–20 wt.% Cr–5 wt.% Ni plates are fusion welded with 20 wt.% Ni–80 wt.% Cr filler. Each plate supplies 20% of the weld pool. Find…
- Question 56 – A venturimeter has areas 100 mm² at A and 50 mm² at B and air flow 10-3 m³/s. Find manometer height H in mm, nearest integer. Assume incompressible…
- Question 57 – In a ball mill, balls should leave the wall at C and follow CDA as drawn, with ∠BOC = 120°. Assume no slip; O is the mill axis, OB is parallel to…
- Question 58 – Liquid copper is cooled to 1353 K. Its melting point is 1356 K and enthalpy of melting is 13 kJ/mol. Find the magnitude of driving force for…
- Question 59 – 1000 kg liquid steel at 0.03 wt.% S is desulphurized to 0.015 wt.% S. Assume equilibrium and initially sulfur-free slag. The slag/steel sulfur…
- Question 60 – Zone-refined Si contains residual P at 0.1 parts per billion by weight. Find conductivity in Ω⁻¹ m⁻¹ to 2 decimals. Given N A=6.021023, Si density…
- Question 61 – Steady creep rate rises by a factor 20 when temperature rises from 890 to 980 K. At what temperature is the rate five times its 890 K value? Give…
- Question 62 – A fatigue specimen has constant-amplitude cyclic stress and zero mean stress, with da/dN( K)3. If crack length doubles, by what factor does growth…
- Question 63 – A top-gated mold receives a freely falling liquid-metal stream from height 0.5 m. Neglect viscous and directional losses. Mold volume is 10 m³, gate…
- Question 64 – After a BOF oxygen blow, steel has dissolved oxygen 0.03 wt.% at 1800 K. Assuming Henry-law behaviour and equilibrium of dissolved [C], [O] and CO at…
- Question 65 – M and N are 3×3 matrices with det(M) = −9 and det(N) = −14. Find det(NM), nearest integer.