GATE 2025 MN – Previous Year Questions with Solutions
All 65 questions of GATE 2025 MN with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – Even though I had planned to go skiing with my friends, I had to at the last moment because of an injury. Select the most appropriate option to…
- Question 2 – The President, along with the Council of Ministers, to visit India next week. Select the most appropriate option to complete the above sentence.
- Question 3 – An electricity utility company charges ₹ 7 per kWh (kilo watt-hour). If a 40-watt desk light is left on for 10 hours each night for 180 days, what…
- Question 4 – In the context of the given figure, which one of the following options correctly represents the entries in the blocks labelled (i), (ii), (iii), and…
- Question 5 – A bag contains Violet (V), Yellow (Y), Red (R), and Green (G) balls. On counting them, the following results are obtained: (i) The sum of Yellow balls…
- Question 6 – "His life was divided between the books, his friends, and long walks. A solitary man, he worked at all hours without much method, and probably courted…
- Question 7 – For the clock shown in the figure, if O* = O\ Q\ S\ Z\ P\ R\ T, and X* = X\ Z\ P\ W\ Y\ O\ Q, then which one among the given options is most…
- Question 8 – Consider a five-digit number PQRST that has distinct digits P, Q, R, S, and T, and satisfies the following conditions: P < Q S > P > T R < T If…
- Question 9 – A business person buys potatoes of two different varieties P and Q, mixes them in a certain ratio and sells them at ₹ 192 per kg. The cost of the…
- Question 10 – Three villages P, Q, and R are located in such a way that the distance PQ = 13 km, QR = 14 km, and RP = 15 km. A straight road joins Q and R. It is…
- Question 11 – Which feature does a non-transit theodolite lack?
- Question 12 – A steeply dipping metalliferous deposit is not susceptible to spontaneous heating. Broken ore provides the working platform in the stope. Identify the…
- Question 13 – For y=xx with x>0, find dy/dx.
- Question 14 – A3×3 matrix has rank2. Find its determinant.
- Question 15 – Which rope-haulage safety device arrests forward runaway tubs?
- Question 16 – Which metal is a rare-earth element?
- Question 17 – Principal stresses satisfy τmax =σ₁=−σ₃. What is the normal-stress magnitude on a maximum-shear plane?
- Question 18 – In the Brazilian test of a homogeneous rock disc shown, at which point does ideal tensile failure initiate?
- Question 19 – Three frictionless pulleys and attached ropes are in static equilibrium as drawn. Find masses m₁,m₂ in kg respectively.
- Question 20 – Match steel-tape errors P sag,Q temperature,R pull greater than standard to corrections1 positive only,2 negative only,3 positive or negative.
- Question 21 – The environmental lapse-rate profiles are shown. Dry adiabatic lapse rate is−10°C/km. Which profile gives the most unstable atmosphere?
- Question 22 – A depillaring face has both dry- and wet-bulb temperatures of30°C. Find relative humidity in percent.
- Question 23 – Which pair is used in a traditional chemical-foam fire extinguisher?
- Question 24 – Match fan-curve points P,Q,R to1 stall point,2 operating point,3 theoretical shut-off head.
- Question 25 – According to the Coal Mines Regulations2017 provision quoted in this examination, haulage ropes must be recapped at least once every
- Question 26 – A shovel takes3 min to load each of8 dumpers. Each dumper’s travel-plus-loading cycle is22 min. Find waiting time per dumper in min, as an integer.
- Question 27 – An explosive’s detonation velocity is10500 m/s. In the shown D’Autriche test the fuse velocity is7000 m/s and the sampling separation is1 m. Find…
- Question 28 – Hydraulic fracturing is used in rock with tensile strength6 MPa and minor principal stress8 MPa. Borehole breakdown pressure is10 MPa. Neglect…
- Question 29 – Evaluate x0(11x)/(5x) to one decimal.
- Question 30 – Find the interquartile range of the data represented by the box plot, as an integer.
- Question 31 – Unadjusted roof RMR is64. The joint orientation and tunnel driving direction are shown. For joint dip20°–45°, apply adjustment−2 when driving with dip…
- Question 32 – Airways of resistance4.0,6.25 and9.0 N s²/m⁸ are in parallel. Find equivalent resistance to two decimals.
- Question 33 – A bord-and-pillar panel has8 blasting rounds per shift, face4.2×2.5 m, average pull1.2 m, coal specific gravity1.4 and100 workers per shift. Find…
- Question 34 – In-situ coal density is1320 kg/m³ and blasted coal density952 kg/m³. Find the swell factor to three decimals, using the convention in the official…
- Question 35 – Copper sells for₹900/kg. Mining costs₹500/tonne ore and processing₹2000/tonne ore. Overall metal recovery is70%. Ignoring other costs, find break-even…
- Question 36 – Match P hydrothermal,Q metasomatic,R placer,S lateritic deposits to processes:I alteration by hot igneous solutions;II leaching soluble minerals…
- Question 37 – Transportation costs to Mines1,2,3 are supplier S:(10,15,50),O:(5,2,100),I:(30,40,20) rupees/tonne. Supplies are2500,2500,3000 tonnes;…
- Question 38 – A sandstone specimen in a triaxial test has confining stress10 MPa and axial stress50 MPa. Elastic axial strain is0.0042 and volumetric strain0.0020.…
- Question 39 – A circular tunnel of radius a=3 m receives t=0.3 m shotcrete after5 mm radial convergence. Shotcrete has σc=20 MPa,Ec=15 GPa,ν=0.25. Its capacity is p…
- Question 40 – The airway is a rectangle topped by a semicircle of radius r. Its full perimeter is20 m and it carries fixed airflow. Which radius minimises mean air…
- Question 41 – A closed traverse PQRS has fore bearings PQ60°30′,QR105°30′,RS220°30′,SP310°30′. Find interior angles at P and R respectively.
- Question 42 – Which statements about draglines are correct?
- Question 43 – A column supplies400 mL/s through an outlet of area10⁻⁴ m². With g=10 m/s² and negligible friction/losses, find the driving head H in cm to two…
- Question 44 – A continuous miner loads two12-tonne shuttle cars. Their total cycles including loading are12 and15 min; loading each takes8 min. Find production in…
- Question 45 – A ringhole round targets2500 tonnes at8% metal but breaks only90%. Overbreak adds250 tonnes of wallrock at0.5% metal. If95% of the resulting muck is…
- Question 46 – A surface-mine blast has burden3.5 m,spacing4.5 m,bench height10 m,subgrade drilling1 m,stemming4 m and charge concentration16 kg/m. One detonator…
- Question 47 – A pit has5 benches,each8 m high with70° face angle. One bench width is24 m and the other four widths10 m. Find overall slope angle in degrees to two…
- Question 48 – Direct-rope haulage produces24 tonnes/hour over610 m at gradient1 in12. Cars carry1 tonne payload and have0.5 tonne tare. Rope speed is1.694 m/s and…
- Question 49 – A void100×2×1.2 m is hydraulically filled in3 h. Sand/slurry volume ratio is0.4 and hydraulic fill factor0.9. Find hourly water consumption in m³ to…
- Question 50 – A2.5-tonne locomotive hauls five3-tonne gross cars up a1-in20 slope. The printed tractive force is1800 kN and acceleration0.5 m/s². With g=10…
- Question 51 – Subsidence is s=(S max/2)[1.002-(4.8x/H)]. Here x is measured from the inflection point,negative toward panel centre. Find critical panel-width/depth…
- Question 52 – Five Fe-grade observations are62,64,63,60,61 percent. Estimate the standard error of their mean,as a percentage to three decimals.
- Question 53 – A square coal pillar has35 m centre-to-centre spacing and5 m galleries. It is split by5 m crosscuts into four equal square stooks. Height is3 m. With…
- Question 54 – The five-member truss is shown. Member CD may carry at most50 kN and BC at most30 kN. Find maximum downward load P at D in kN to two decimals.
- Question 55 – The characteristic polynomial is x3-6x2+11x-6. One eigenvalue is1. Find the sum of the other two,as an integer.
- Question 56 – Find the directional derivative of f=4x2+8y2+9z2 at(3,4,5),along 2 i-3 j+4 k,to one decimal.
- Question 57 – Noise is80 dB(A) for10 min and60 dB(A) for30 min. Find the40-min energy-equivalent level in dB(A) to two decimals.
- Question 58 – Find the area enclosed by y= x and y=8x2,to three decimals.
- Question 59 – A vertical core log begins at590 mRL. Sequential(length m,grade%) values are(3,40),(3,42),(2,41),(3,43),(2,42),(3,41),(3,44). Composite the interval5…
- Question 60 – A3-year project costs₹300 crore at year0. Year1–3 revenues are200,300,400 crore and operating costs30,40,35 crore. Tax is30%,discount10%,and…
- Question 61 – Air flows at1.2 m/s through a900 m road of height2.5 m and width3 m. Friction coefficient is0.022 N s²/m⁴. Find friction pressure drop in Pa to three…
- Question 62 – A10×10 km airshed emits20 kg SO₂/s. Wind speed is4 m/s and mixing height1200 m. Incoming concentration is zero and SO₂ is conservative. Find steady…
- Question 63 – Reciprocal levelling gives staff readings(P,Q):near P,(1.512,2.100) m;near Q,(0.680,1.302) m. P’s RL is115.246 m. Find true Q RL to three decimals.
- Question 64 – Ultimate BOD is300 mg/L. The20°C rate constant is0.22/day and temperature coefficient1.05. Find5-day BOD at25°C in mg/L to two decimals.
- Question 65 – A unidirectional DERD shearer works a1200×200×2.4 m panel. Drum diameter1.4 m,web0.6 m,cutting speed5 m/min,return speed10 m/min,and delay between…