GATE 2023 MN – Previous Year Questions with Solutions
All 65 questions of GATE 2023 MN with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – The line ran the page, right through the centre, and divided the page into two.
- Question 2 – Kind : : : Often : Seldom (By word meaning)
- Question 3 – In how many ways can cells in a 33 grid be shaded, such that each row and each column have exactly one shaded cell? An example of one valid shading is…
- Question 4 – There are 4 red, 5 green, and 6 blue balls inside a box. If N number of balls are picked simultaneously, what is the smallest value of N that…
- Question 5 – Consider a circle with its centre at the origin (O), as shown. Two operations are allowed on the circle. Operation 1: Scale independently along the x…
- Question 6 – Elvesland is a country that has peculiar beliefs and practices. They express almost all their emotions by gifting flowers. For instance, if anyone…
- Question 7 – Three husband-wife pairs are to be seated at a circular table that has six identical chairs. Seating arrangements are defined only by the relative…
- Question 8 – Based only on the following passage, which one of the options can be inferred with certainty? When the congregation sang together, Apenyo would also…
- Question 9 – If x satisfies the equation 48x=256, then x is equal to .
- Question 10 – Consider a spherical globe rotating about an axis passing through its poles. There are three points P, Q, and R situated respectively on the equator,…
- Question 11 – Which type of fault is represented in the figure?
- Question 12 – Identify the coal-face blast cut shown in the front, side and top views.
- Question 13 – A shear stress acts tangentially on the top of a block of width w and height h, producing a small top displacement w as shown. Find the engineering…
- Question 14 – Given A=3 i+2 j and B= i+ j, find the magnitude of the projection of A along B.
- Question 15 – Two undrained triaxial axial-stress/strain curves for a porous rock are shown. Curve A has pore pressure U = 10 MPa. Which pore pressure best explains…
- Question 16 – For random variables X and Y, what is E(3X−5Y)?
- Question 17 – Which products result when calcium hydroxide reacts with acidic ferruginous mine water?
- Question 18 – During 2020 an underground coal mine recorded 5 serious, 15 reportable and 25 minor injuries. Average employment was 1200. Find the total injury rate…
- Question 19 – Maximise Z=4x 1+2x 2 subject to 2x 1-2x 220, 4x 180, and x 1,x 20. Classify the solution.
- Question 20 – A competent copper orebody is tabular, nearly flat (dip below 30°), less than 2 m thick and has erratically located grade. The wall rock is also…
- Question 21 – For x=r and y=r, find (x,y)/(r,).
- Question 22 – Which statement about classical project scheduling techniques is correct?
- Question 23 – Under the DGMS Safety Management Plan risk-ranking method referred to in the paper, how is a hazard risk score computed?
- Question 24 – Match P isopachs, Q isotherms and R isoclines with contours of 1 slope, 2 thickness and 3 temperature.
- Question 25 – In an astronomical survey the pole star is 27° above the horizon. Estimate the station latitude.
- Question 26 – GPS position tracking is based on which technique?
- Question 27 – Matrix A is negative definite. Which statement is NOT correct? Use the conventional real symmetric matrix definition.
- Question 28 – Copper ore grade is 0.9%, overall processing/smelting/refining recovery is 85%, and refined metal sells at ₹640/kg. Find sales revenue from one tonne…
- Question 29 – A dump point moves from (200, 700, −60) m to (200.05, 700.1, −60.75) m. Find net displacement in cm, to two decimals.
- Question 30 – The Mohr–Coulomb failure envelope in principal stresses is 1=30+3.5 3, with stresses in MPa. Find the failure-plane angle with the σ₃ axis in degrees,…
- Question 31 – Punch a 10 mm diameter hole through a 5 mm thick rock plate as shown. The rock plate yield strength is 25 MPa. Find the punch force in kN, to one…
- Question 32 – A 150 m wide flat longwall panel reaches critical subsidence at depth 200 m. For the same critical width-to-depth ratio, find the corresponding width…
- Question 33 – Increase roadway resistance by 1.5 N s²/m⁸ using a regulator. Find its opening area in m² to two decimals, using the conventional equivalent-orifice…
- Question 34 – A 3.0 m coal seam is mined by a double-ended ranging drum shearer with 0.5 m web depth. Panel width is 150 m and coal density is 1.4 tonne/m³. Find…
- Question 35 – A panel has 50 workers, each consuming oxygen at 2.5×10⁻³ m³/min. Intake oxygen is 20.95%. Find the ventilating air supply in m³/min needed to…
- Question 36 – Fixed-carbon control limits are 40%±15% at 3σ. Rule 1: four of five successive readings on the same side of the mean, more than 1σ away, indicate loss…
- Question 37 – An 8 m diameter tunnel has rock-mass quality Q = 1.0 and excavation support ratio ESR = 1.0. Using the supplied Grimstad–Barton (1993) chart, choose…
- Question 38 – Match devices P ground-penetrating radar, Q tactile sensor, R global navigation satellite system and S digital inclinometer with applications 1…
- Question 39 – Evaluate ex-1+xe-1ex+xe\,dx. Each option is understood up to an additive constant.
- Question 40 – For f(x)= x + x-1 and real x, which statement is correct?
- Question 41 – Three straight-line equations have (slope, intercept) pairs (2, 3), (4, 5), and (6, 2). Classify the simultaneous system.
- Question 42 – An ordinary least-squares line for 50 observations of shovel production versus swing angle has intercept estimate 29.6 (standard error 13.45) and…
- Question 43 – An exhausting fan on a 0.60 m diameter duct carries 4.0 m³/s. Static pressure behind it is −97.5 mm water gauge. An outlet evasee has inlet-to-outlet…
- Question 44 – Survey points are A(E0, N200) m and B(E300, N200) m. Whole-circle bearings AO and BO are 67° and 35°. Find the easting of O in metres, to two…
- Question 45 – A surface miner has drum width 3 m, cutting depth 20 cm, cutting speed 25 m/min and pit length 500 m. Turning takes 2 min. Truck exchange takes 30 s…
- Question 46 – A continuous miner with two shuttle cars produces 240 tonnes/hour. Each car carries 10 tonnes. With one car operating, its cycle takes 4 min. Find the…
- Question 47 – The circular tunnel shown has vertical far-field stress σ₀ and horizontal stress kσ₀. Boundary point A is on the horizontal radius; B is 45° above it.…
- Question 48 – Pillar strength is S p=S 1(0.64+0.54w/h-0.18w2/(lh)), with l≥w. A 30 m square pillar of height 3 m is split by a 5 m roadway into two equal pillars.…
- Question 49 – A dozer pushes a 100 kg cable spool at constant speed up a 20° incline. The road contact A has kinetic friction coefficient 0.15; bucket contact B has…
- Question 50 – Waves travel through the 100 mm long elastic isotropic cylindrical rock specimen from transmitter A to receiver B. Longitudinal and shear travel times…
- Question 51 – A 100 mm high rock specimen with one horizontal joint is loaded vertically at 20 MPa as shown. Rock elastic modulus is 10 GPa and joint normal…
- Question 52 – A UAV of mass 1.2 kg carries a 2 kg payload vertically through 100 m in 10 s at constant speed. Find lifting power in kW, to two decimals.
- Question 53 – A rock sample of mass 60 g displaces 27 g of brine. Brine specific gravity is 1.05. Find rock unit weight in kN/m³, to two decimals.
- Question 54 – A pump has reliability R(t)=[-(t/1000)0.5], where t is in years. If it comes with a six-month warranty, find the number of years for the pump to…
- Question 55 – Groundwater contains Ca²⁺ at 200 mg/L. Find calcium carbonate equivalent hardness in mg/L, to one decimal.
- Question 56 – A thermal station burns 7000 tonnes/day of coal of calorific value 4000 kcal/kg. Thermal efficiency is 40%, electrical efficiency 85%, and 860 kcal…
- Question 57 – Three mines supply four washeries. Unit transportation costs for (W1, W2, W3, W4) are M1:(19, 30, 50, 10), M2:(70, 30, 40, 60), M3:(40, 8, 70, 20).…
- Question 58 – Assign four tasks T1–T4 to four machines, one per machine. Costs by machine are M1:(10, 40, 60, 30), M2:(90, 70, 100, 90), M3:(40, 50, 110, 70),…
- Question 59 – Consecutive accident intervals in days are 10, 15, 6, 18, 12, 14, 16, 9, 21, 15, 26, 18, 22, 25, 13. Fit an exponential distribution and find the…
- Question 60 – A surface blast has spacing 4 m, burden 3 m, hole diameter 110 mm and drilled length 8.8 m including 10% subgrade. Explosive density is 900 kg/m³ and…
- Question 61 – A project needs ₹200 crore initially. After gestation, production over three years is 1, 2, 1 million tonnes. Ore sells at ₹2000/tonne; ore mining…
- Question 62 – The 20 m high rock slope shown has a 45° face and a potential sliding joint at 30°. Rock unit weight is 20 kN/m³, joint cohesion 30 kPa and friction…
- Question 63 – A 20×50×30 m mine void is filled with cemented paste backfill. Tailings:cement:water mass ratio is 1.0:0.1:0.2. Tailings and cement specific gravities…
- Question 64 – A main fan circulates 30 m³/s through parallel districts A and B. Resistances are RA=2.0 and RB=4.0 N s²/m⁸; the common intake and return each have…
- Question 65 – A water turbine pump has backward-curved impellers of diameter 35 cm running at 1200 rpm. Blade angle is 30°, radial discharge speed 2 m/s and…