GATE 2022 MN – Previous Year Questions with Solutions
All 65 questions of GATE 2022 MN with answers and explanations. Read each question, then practise it by topic or as a full paper.
Practise this paper in The GATE Grind →
- 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 – Consider the following inequalities. (i) 2x-1>7 (ii) 2x-9<1 Which one of the following expressions below satisfies the above two inequalities?
- Question 8 – Four points P(0, 1), Q(0, −3), R(−2, −1), and S(2, −1) represent the vertices of a quadrilateral. What is the area enclosed by the quadrilateral?
- 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 – Consider the following square with the four corners and the center marked as P, Q, R, S and T respectively. Let X, Y and Z represent the following…
- Question 11 – Evaluate x0[(1-x)n-1]/x.
- Question 12 – A velocity field is v=x i+y j+p(z) k, with p(0)=0. If its divergence is zero, find p(z).
- Question 13 – A 2π-periodic function is f(x)=−k for −π<x<0 and f(x)=k for 0<x<π, with constant k. Find its Fourier-series constant term.
- Question 14 – For the vectors x and y shown, which expression is the vector projection of x onto nonzero y?
- Question 15 – A deposit has grade X in [0, 30] with probability density f(x). At cutoff grade x c, what proportion is ore?
- Question 16 – Which drilling technique is most appropriate for mineral exploration?
- Question 17 – Match parent rocks P granite, Q limestone, R sandstone and S gabbro with metamorphic forms I quartzite, II gneiss, III schist and IV marble.
- Question 18 – Identify the WRONG statement. Break-even stripping ratio:
- Question 19 – The figure shows a square pattern of holes fired simultaneously. Identify the labelled zone with no fragmentation.
- Question 20 – For the pin-jointed truss and loads shown, find axial force in member BD in kN.
- Question 21 – Which vertical-stress profile shown corresponds to the tributary-area method of pillar design?
- Question 22 – A stoping block has a 200×40 m bottom section and modified RMR 50. Use the supplied Laubscher chart to choose the appropriate mining method.
- Question 23 – Match machines P continuous miner, Q jackhammer, R AFC and S shield support with components I flight bar, II lemniscate link, III loading apron and IV…
- Question 24 – Which is NOT a notifiable disease under the Indian mining legislation referred to by this 2022 paper?
- Question 25 – The ambient lapse rate exceeds the dry adiabatic lapse rate. Classify the atmosphere.
- Question 26 – Identify the WRONG statement about properly controlled air recirculation in an underground workplace. It can:
- Question 27 – Choose the haul-road pavement layers from top to bottom.
- Question 28 – A mining company produces iron ore and sells it to another company. In the sale scenario asked, royalty is based on:
- Question 29 – A screw compressor costs ₹21, 00, 000 and has 15-year life. Under sum-of-years-digits depreciation, the fourth-year charge is ₹2, 00, 000. Find…
- Question 30 – A safety device has independent critical components with failure probabilities 0.2 and 0.1. Failure of either or both can cause an accident. Find…
- Question 31 – A levelling staff reading is 2.25 m, with a 20 cm lateral deflection along the sight direction from its vertical position. Find the corrected reading…
- Question 32 – Water seeps through a vertical sand column of area 4000 mm² and length 300 mm. Applied head is 600 mm and discharge is 100 mm³/min. Find hydraulic…
- Question 33 – A metal-mine drive has roof span 4 m. Using the modified Lauffer chart, find the factor increase in stand-up time when RMR increases from 40 to 60, to…
- Question 34 – A friction-winder skip accelerates from rest to its steady speed in 15 s. Use the given torque-time diagram to find deceleration time in seconds, to…
- Question 35 – AQI subindices for PM₂.₅, NO₂ and O₃ at a station are 180, 96 and 84. Find station AQI as an integer.
- Question 36 – Match drilling patterns P–S shown with operations I drifting, II shaft sinking, III sublevel stoping and IV drop raising.
- Question 37 – Match plots P–S to attributes I: x> y, 0<<1; II: y> x, =1; III: y> x, 0<<1; IV: x= y, =1. Here σ denotes standard deviation and ρ the Pearson…
- Question 38 – A three-point borehole extensometer has anchors 1, 2, 3 from deepest to shallowest, as shown. Readings in mm on 2 May 2021 are (34.52, 29.04, 43.11);…
- Question 39 – Match semivariogram shapes P–S with models I pure nugget, II exponential, III spherical, IV Gaussian, and properties E reaches sill at finite range, F…
- Question 40 – A 50 mm diameter rock sample fails under 120 kN uniaxial compression on a plane inclined 60° to the horizontal as shown. Find normal and shear…
- Question 41 – Choose a minimum-operating-cost dumper fleet. Type 1 costs ₹3 crore, carries 40 tonnes, makes 20 trips/day and costs ₹300/tonne to operate. Type 2…
- Question 42 – A continuous differentiable function on [3, 18] satisfies f(3)=−50 and f′(x)≤20. Find the greatest possible f(18), as an integer.
- Question 43 – A thermometer initially reads 2°C and is moved into a room at 40°C. Its heating rate is proportional to the room–thermometer temperature difference.…
- Question 44 – Daily probability of full COVID-bed occupancy at a health centre is 0.8. Under the binomial model, find probability of exactly five full-occupancy…
- Question 45 – A blast round breaks 320000 m³ using 100 holes of diameter D=200 mm. Subgrade is 8D, stemming 25D and bench height 30 m. Powder factor is 3.2 m³/kg.…
- Question 46 – Shaft A has surface coordinates N 670, W 150 m, surface RL 250 m and depth 200 m. Shaft B has N 170, E 50 m, surface RL 209 m and depth 149 m. Find…
- Question 47 – Balanced ANFO reaction is 3NH 4NO 3+CH 27H 2O+CO 2+3N 2. Find ammonium nitrate needed for 100 litres of fuel oil of density 850 kg/m³, in kg to two…
- Question 48 – Two weightless cables of equal length and area support the ends of a light 1 m horizontal bar. Cable 1 has modulus 50 GPa and cable 2 has modulus 200…
- Question 49 – A circular tunnel of radius 3 m is in a hydrostatic field of 15 MPa. Rock E=5 GPa and ν=0.25. Find uniform boundary support pressure in MPa needed to…
- Question 50 – A flat bord-and-pillar panel’s extraction ratio increases from 0.15 to 0.25 by widening galleries. Using tributary-area loading, find percentage…
- Question 51 – A battery locomotive pulls mine tubs of total mass 3 tonnes up a 1-in-20 gradient. Rolling-friction coefficient is 0.06 and adhesion coefficient 0.2.…
- Question 52 – A pump lifts water of density 1020 kg/m³ at 250 m³/hour from 150 m depth. Pipe-friction and shock head loss total 15 m. Overall efficiency is 68%.…
- Question 53 – A dumper spends 3 min at loading and 1 min unloading. Stations are 4.5 km apart; loaded speed is 12 km/hour and empty speed 18 km/hour. Find the…
- Question 54 – Twelve 4.4×2.5 m bord-and-pillar headings are blasted per day with average pull 1.2 m and coal density 1500 kg/m³. The mine works three shifts and…
- Question 55 – A shearer cuts a 3 m seam with 0.7 m web at 12 m/min. AFC trough area is 0.4 m² with average loading coefficient 0.7. Find conveyor speed needed…
- Question 56 – A 20×40 km city has an inversion lid 100 m high. Wind enters perpendicular to the 20 km side at 4 m/s. PM₁ emission is 1 kg/s. Under a steady…
- Question 57 – The Coward diagram shows sealed-area gas composition A(CH₄7%, O₂17%). Sealed volume is 10000 m³. Find the minimum inert gas volume, at the same…
- Question 58 – An 8×6×4 m workshop has one roof-corner luminaire at each corner. Each uses 100 W and produces 100 lumen/W uniformly into a full sphere. Neglect…
- Question 59 – An underground AC plant needs 250 US gpm of water at 7°C; 15.85 US gpm equals 1 L/s. Ice at 0°C (latent heat 334 kJ/kg) is mixed with 20°C water…
- Question 60 – An intake shaft 400 m deep has resistance 0.05 N s²/m⁸ and flow 100 m³/s. Average density is 1.2 kg/m³. Surface barometer reads 99.375 kPa; g=9.81…
- Question 61 – Two project NPVs are NPV A=-0.01i2-0.02i+4.44 and NPV B=-0.03i2-0.01i+6.55. Find the positive crossover discount rate i at which both proposals are…
- Question 62 – Evaluate 01 x(1+x)\,dx, using the natural logarithm. Give two decimals.
- Question 63 – A 12 m thick coal seam dips 30°, has density 1.41 tonne/m³ and is mined with a 45° pit slope. The limiting instantaneous stripping ratio is 10…
- Question 64 – A mine has 150 Mt reserve and a maximum annual output of 5 Mt. Year 1 production is 2 Mt and grows 20% each year until capacity is reached. Find…
- Question 65 – PERT activities list predecessor→successor events and (pessimistic, most likely, optimistic) weeks: A 1→2(20, 15, 4), B 1→3(12, 8, 4), C 2→3(16, 11,…