GATE 2019 MT – Previous Year Questions with Solutions
All 65 questions of GATE 2019 MT with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – The fishermen, the flood victims owed their lives, were rewarded by the government.
- Question 2 – Some students were not involved in the strike. If this is true, which conclusions are logically necessary? 1. Some who were involved in the strike…
- Question 3 – The radius and height of a circular cone each increase by 10%. What is the percentage increase in volume?
- Question 4 – Arrange 10,7,5,4,2 from left to right so that no two odd or even numbers are adjacent, the second is half the leftmost, and the middle is twice the…
- Question 5 – Until Iran came along, India had never been in kabaddi.
- Question 6 – After a 125-basis-point RBI repo-rate reduction over the last year, banks had demanded lower interest rates on small saving schemes. The government…
- Question 7 – A country has population 1400 million, of whom 70% own mobile phones. Among phone owners, 294 million access the Internet; half of those buy goods…
- Question 8 – Hindustani music terminology has changed over centuries. Medieval dhrupad styles were called baanis. Gayaki and baaj referred to vocal and…
- Question 9 – Two trains leave the same point at 7 AM, one north at 80 km/h and the other south at 100 km/h. At what time are they 540 km apart?
- Question 10 – “I read somewhere that in ancient times the prestige of a kingdom depended upon the number of taxes that it was able to levy on its people. It was…
- Question 11 – One eigenvalue of pmatrixa&2\\8&apmatrix is
- Question 12 – For which depicted vector field is the curl nonzero?
- Question 13 – The smallest period of f(x)=(nx/k) is (take n,k positive)
- Question 14 – Find the directional derivative of =x2+y along u=(3 i+4 j)/5 at (1,1).
- Question 15 – Liquid steel is held in a graphite crucible long enough to establish equilibrium. What is carbon activity in the liquid, taking graphite as standard…
- Question 16 – Standard oxide-formation free energies vary with temperature as shown. Which statement is correct?
- Question 17 – The terminal rise velocity U of a spherical solid in a liquid obeys f(U,d,W,μ,ρ)=0, where d is diameter, W apparent weight, μ dynamic viscosity and ρ…
- Question 18 – Copper is electrodeposited on copper from an aqueous solution containing 0.5×10⁻³ mol/cm³ CuSO₄. Transport controls the rate; mass-transfer…
- Question 19 – Choose the correct steelmaking sequence. BOF: basic oxygen furnace; LF: ladle furnace; VD: vacuum degassing; CC: continuous casting.
- Question 20 – Which is a common titanium ore?
- Question 21 – Coarse suspended particles are separated from flowing gas in a dust catcher. With all other factors equal, which configuration gives the greatest…
- Question 22 – Which is the Boudouard (carbon gasification) reaction?
- Question 23 – Which element diffuses fastest in iron at 1100°C?
- Question 24 – Hydrogen bonds are stronger than
- Question 25 – Which carbide is primarily responsible for intergranular corrosion in austenitic stainless steel?
- Question 26 – At room temperature and low strain rate (≤0.1 s⁻¹), which metal commonly deforms by twinning?
- Question 27 – In a tensile creep test, Nabarro–Herring creep is favoured over Coble creep by
- Question 28 – Beach marks are commonly observed on a metal fracture surface after which test?
- Question 29 – Internal cracks in two samples of the same glass have lengths c₁=0.5 mm and c₂=2 mm. Find the fracture-strength ratio σf1/σf2.
- Question 30 – Two blocks of the same metal are welded. Which illustrated joint configuration undergoes the least distortion?
- Question 31 – Which nondestructive method is most suitable for detecting small internal flaws in a dense bulk material?
- Question 32 – Alligatoring is a defect commonly observed in
- Question 33 – Find the standard deviation of the five numbers 6, 8, 8, 9, 9 (one decimal place).
- Question 34 – An FCC crystal of lattice parameter 0.3615 nm reflects monochromatic X-rays from (111) planes at Bragg angle θ=21.68°. Find the wavelength in nm…
- Question 35 – A plate of width 100 cm is rolled from thickness 5 cm to 3 cm. Entry speed is 10 cm/s and width stays constant. Find exit speed in cm/s (one decimal…
- Question 36 – Match sites P blast-furnace runner, Q AOD, R torpedo car, S BOF with processes 1 decarburization, 2 external desulfurization, 3 dephosphorization, 4…
- Question 37 – Match techniques P aluminium wire feeding, Q calcium treatment, R argon rinsing, S lime-powder injection with objectives 1 inclusion modification, 2…
- Question 38 – Which set correctly gives crystal structure, coordination number CN and packing fraction PF? FCC: face-centred cubic; BCC: body-centred cubic; DC:…
- Question 39 – Match P peritectic, Q monotectic, R eutectoid, S syntectic with reactions 1 γ→α+β; 2 L₁+L₂→α; 3 L₁→L₂+α; 4 L+α→β. Greek letters are solids and L…
- Question 40 – In an SEM image, topographic information and atomic-number contrast are primarily obtained from which signals, respectively?
- Question 41 – Match ceramics P mullite, Q spinel ferrites, R tungsten carbide, S barium titanate with applications 1 cutting tools, 2 refractories, 3 piezoelectric,…
- Question 42 – An aluminium single crystal is pulled along [110]. Which slip system is activated first?
- Question 43 – For the illustrated plane stress σx=−10 MPa, σy=30 MPa and τxy=20 MPa, which Mohr-circle construction is correct?
- Question 44 – Match automobile components P engine block, Q brake pad, R connecting rod, S door panel with processes 1 forging, 2 sheet-metal forming, 3 casting, 4…
- Question 45 – For C(graphite)+2H₂(g)→CH₄(g), ΔH°=−74900 J/mol and ΔS°=−80 J/(mol K) at 300 K. With R=8.314 J/(mol K), find the equilibrium constant at 300 K.
- Question 46 – A 50 cm rod rests against a vertical wall with its bottom 30 cm from the wall. The bottom is pulled horizontally away at 4 cm/s. Find the…
- Question 47 – Student A solves a problem with probability 1/3 and student B with probability 2/5. Assuming independent attempts, find the probability that at least…
- Question 48 – Find the work done by F=x i+5xy j along y=x²/2 from (0,0) to (2,2), in the stated consistent units (nearest integer).
- Question 49 – Estimate the cube root of 37 using two Newton–Raphson iterations starting with x₀=1. Give x₂ to two decimal places.
- Question 50 – Find the zinc partial pressure in torr in equilibrium with liquid lead containing 0.03 mole% zinc at 900 K. Pure-zinc vapour pressure is 0.027 atm;…
- Question 51 – Steady radial conduction in an infinitely long hollow zirconia cylinder obeys d2T/dr2+(1/r)dT/dr=0. Inner and outer radii are 0.05 and 0.07 m, at 1473…
- Question 52 – A 50 mm diameter nickel sphere oxidizes in 60 vol% Ar and 40 vol% O₂ at 1 atm and 1173 K. Oxygen transfer controls, its surface concentration is zero,…
- Question 53 – Find dissolved nitrogen in pure liquid iron exposed to atmospheric air at 1873 K, in wt% (three decimal places). Sieverts constant satisfies 10K…
- Question 54 – Pressure drop in a blast-furnace granular bed is 300 mm water per metre of height. Permeability is 0.8 m⁴/(N s). Using Darcy’s law, water density 1000…
- Question 55 – A blast furnace uses hematite containing 90 wt% Fe₂O₃ and makes liquid iron containing 3.6 wt% carbon. Coke containing 90 wt% carbon is charged at 500…
- Question 56 – 100 metric tons of copper concentrate containing 21 wt% Cu must be processed in six months, each with 25 working days and 8 h/day. After acid…
- Question 57 – Cold working raises iron dislocation density from 10¹⁰ to 10¹⁵ m⁻². Shear modulus is 82 GPa and Burgers vector is b=(a 0/2)[111], a₀=0.2856 nm.…
- Question 58 – Nickel solidifies at 1673 K. Its equilibrium melting temperature is 1728 K, latent heat per volume 2.65×10⁹ J/m³ and liquid–solid interfacial energy…
- Question 59 – A composite has alternating layers of metals A and B, with 25 vol% B. Their elastic moduli are 200 and 100 GPa. Loading is perpendicular to the layers…
- Question 60 – The steel S–N curve shown has an endurance stress amplitude of 300 MPa. With stress ratio σmin/σmax=−0.8, find maximum stress for infinite fatigue…
- Question 61 – A metal follows the true flow curve =17500.37, with σ in MPa. Find true stress at the onset of necking in MPa (nearest integer).
- Question 62 – A cube-shaped sand casting of volume 27 cm³ solidifies completely in 180 s. With all other parameters fixed, find solidification time for a cylinder…
- Question 63 – During sintering, solid–solid interfacial energy is 0.87 J/m² and solid–liquid interfacial energy is 0.5 J/m². Find the liquid dihedral angle φ in…
- Question 64 – A 100 mm thick slab is rolled using rolls of diameter 200 mm with roll–slab friction coefficient 0.2. Find the maximum possible thickness reduction in…
- Question 65 – Arc welding uses 400 A and 20 V at travel speed 5 mm/s. Heat-transfer efficiency is 0.6. Find energy input per unit length in J/mm (nearest integer).