GATE 2024 MN – Previous Year Questions with Solutions
All 65 questions of GATE 2024 MN with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – If '→' denotes increasing order of intensity, then the meaning of the words [drizzle → rain → downpour] is analogous to [ → quarrel → feud]. Which one…
- Question 2 – Statements: 1. All heroes are winners. 2. All winners are lucky people. Inferences: I. All lucky people are heroes. II. Some lucky people are heroes.…
- Question 3 – A student was supposed to multiply a positive real number p with another positive real number q. Instead, the student divided p by q. If the…
- Question 4 – If the sum of the first 20 consecutive positive odd numbers is divided by 202, the result is
- Question 5 – The ratio of the number of girls to boys in class VIII is the same as the ratio of the number of boys to girls in class IX. The total number of…
- Question 6 – In the given text, the blanks are numbered (i)−(iv). Select the best match for all the blanks. Yoko Roi stands (i) as an author for standing (ii) as…
- Question 7 – Seven identical cylindrical chalk-sticks are fitted tightly in a cylindrical container. The figure below shows the arrangement of the chalk-sticks…
- Question 8 – The plot below shows the relationship between the mortality risk of cardiovascular disease and the number of steps a person walks per day. Based on…
- Question 9 – Five cubes of identical size and another smaller cube are assembled as shown in Figure A. If viewed from direction X, the planar image of the assembly…
- Question 10 – Visualize a cube that is held with one of the four body diagonals aligned to the vertical axis. Rotate the cube about this axis such that its view…
- Question 11 – Exposure to loud impulsive noise may lead to
- Question 12 – In a self-contained closed-circuit breathing apparatus,
- Question 13 – An airway 2.0 m wide and 2.5 m high turns throughπ/4 radians with 4.0 m bend radius. Find its empirical bend shock factor to three decimals.
- Question 14 – A mine records 2 fatalities and 3 serious injuries in a year with 1100 average daily employees and 300 working days. Find the DGMS severity index used…
- Question 15 – Under CMR 2017, a geared winding engine has its manwinding cage at the normal shaft-top position. What minimum space in metres is required from the…
- Question 16 – Evaluate 0/4 x\,3x\,dx.
- Question 17 – For constant n, evaluate x0 n(5x)/(3x).
- Question 18 – A spherical semivariogram is given by γ(0)=C₀; for 0<h≤a, (h)=C 0+(C-C 0)[1.5h/a-0.5(h/a)3]; and γ(h)=C for h>a. Name C₀, C, a respectively.
- Question 19 – An M/M/1 shovel queue has arrival rate 9 dumpers/hour and service rate 12/hour. Find probability that exactly one dumper is in the system.
- Question 20 – The project network is shown. Activities A, B, C, D, E have durations 5, 6, 8, 3, 4 weeks and crash costs 4, 2.5, 2, 3, 4 lakh rupees/week…
- Question 21 – Match plan features P shaft, Q staple shaft, R abandoned shaft, S abandoned staple shaft with the four numbered symbols shown.
- Question 22 – For major/minor principal stresses σ₁ and σ₃=−σ₁/2, find maximum shear stress.
- Question 23 – Which mineral is NOT used for commercial metal extraction?
- Question 24 – What is the role of a District Mineral Foundation established by a state government in India?
- Question 25 – Ore grades 58% and 62% Fe have net values₹4000 and₹4500/tonne. Net value varies linearly with grade. Waste mining costs₹1000/m³. Find the economic…
- Question 26 – Find F for F=2x i+3y j+4z k.
- Question 27 – An explosive has density 1.2 g/cm³ and heat 900 cal/g. ANFO has density 0.8 g/cm³ and heat 950 cal/g. Find relative bulk strength to two decimals.
- Question 28 – The crusher’s 24-hour activity timeline is shown. Find utilisation in percent to two decimals, using available hours as the denominator.
- Question 29 – A washery discharges 300 m³/day of water at DO 4 mg/L into a stream flowing 0.04 m³/s at DO 8.5 mg/L. Ignoring temperature effects, find immediate…
- Question 30 – Dumper and shovel together produce 95 dB(A) at a point. The shovel alone produces 90 dB(A). Find the dumper-only level in dB(A) to two decimals.
- Question 31 – A 1000 m³ unconsolidated soil heap has void ratio 1.0. It consolidates to 800 m³ with unchanged solids. Find final void ratio to two decimals.
- Question 32 – A circular track has radius 300 m and maximum elevation difference 0.1 m across 1.6 m width. Neglecting side friction, find balancing vehicle speed in…
- Question 33 – The 2 m scanline AB crosses the discontinuities shown. With RQD=100(0.1+1)e-0.1 and λ the intersection frequency per metre, find RQD to two decimals.
- Question 34 – A VCR stope uses 165 mm diameter holes. Under the spherical-charge approximation of length at most six diameters, find maximum charge length in m to…
- Question 35 – A 3×2.8 m development heading uses 2.4 m holes, pull factor 0.95 and swell factor 1.20. Find loose blasted-rock volume per round in m³ to two…
- Question 36 – Faces 1 and 2 can produce at most 1600 and 2000 tonnes/day, at Fe 63% and 58% and costs₹1500 and₹1200/tonne. Blend grade must be at least 60%, total…
- Question 37 – Four identical districts have total flow 3500 m³/min at stated fan-drift pressure 1.15 kPa. Sealing one raises resultant resistance by 0.072 N s²/m⁸.…
- Question 38 – Given A=pmatrix1&4&3\\5&2&1\\6&4&3pmatrix, classify B=A-AT.
- Question 39 – Roof convergence readings(day, mm) are(0, 0), (5, 4.7), (10, 11.3), (16, 19.6), (22, 28.8), (30, 34.8). TARP starts when both the latest interval rate…
- Question 40 – For I= 13(x3+6)dx, find the magnitude of Simpson one-third-rule error using step 1.
- Question 41 – A closed traverse ABC has AB 100 m at whole-circle bearing 90° and BC 120 m at 150°. Find CA’s length and bearing approximately.
- Question 42 – Match geometry P tabular/moderately steep, Q tabular/flat, R massive/steep; strength L strong, M moderate, N weak; support X unsupported, Y…
- Question 43 – Triangle sides are a=(2, 3, −4), b=(4, 2, 3). Find triangle area and a unit normal.
- Question 44 – Water enters the inverted conical tank at 300 m³/hour. The tank is 10 m across at the top and 15 m high as shown. Find water-level rise rate in m/min…
- Question 45 – Mines M 1, M 2, M 3 supply 60%, 25%, 15% of coal. Their probabilities of below-Grade 1 wagons are 0.02, 0.03, 0.04. A sampled wagon is below Grade 1.…
- Question 46 – The conveyor network has two independent parallel belts before an ore bin and two independent parallel belts after it, as shown. Every belt has…
- Question 47 – A 50 μm dust particle enters a dry settling chamber 0.5 m above the floor at horizontal speed 1 m/s. Density is 2000 kg/m³, air viscosity 1.8×10⁻⁵…
- Question 48 – From P, a vertical staff at A has bearing 145°, vertical angle+8° and readings 1.2, 1.7, 2.2 m; B has bearing 205°, angle+3° and readings 0.8, 1.2,…
- Question 49 – Mine-air analysis gives O₂17.15%, CO₂3.40%, CH₄2.20%, N₂77.25%. Atmospheric air has O₂20.95%, CO₂0.03%, N₂79.02%. Find blackdamp percentage, to two…
- Question 50 – A 2×2.5 m face in a 1000 m drive uses 20 kg explosive producing 2200 cm³ fumes/kg. The duct outlet is 10 m from the face. Find airflow Q in m³/s…
- Question 51 – A pump raises 320 m³/hour through 180 m head at overall efficiency 0.70. Mine-water unit weight is 10.20 kN/m³. It works 14 h/day for 270 days and 20…
- Question 52 – Apply two bisection iterations on[0, 1] to f(x)=x3-2x2+3x-1. Give the root estimate to two decimals.
- Question 53 – A flat coal seam lies 250 m deep with vertical stress gradient 0.027 MPa/m. Square-pillar strength is 12.5 MPa. Find extraction ratio giving safety…
- Question 54 – A rock obeys Mohr–Coulomb τ=7.5+0.84σn in MPa. In triaxial failure with confinement 5 MPa, find shear stress on the failure plane in MPa, to two…
- Question 55 – A circular tunnel is 100 m deep under rock of unit weight 27 kN/m³. Tangential stress at horizontal boundary A is 5 MPa. Find tangential stress at…
- Question 56 – A 600 N worker lifts 100 N as drawn. Half the worker’s weight acts at A. The lumbar joint L is a smooth hinge; erector-spinae force FE is parallel to…
- Question 57 – A 10 kg ball experiences the two 100 N forces shown:one due east and one 45° north of west. Find acceleration magnitude in m/s², to two decimals.
- Question 58 – Each Cu-grade interval(0.3, 0.4], (0.4, 0.5], (0.5, 0.6], (0.6, 0.7], (0.7, 0.8]% contains 5 million tonnes; other grades have zero tonnage.…
- Question 59 – The shaded longitudinal section shows recovered ore in a repeating stope layout. Thickness is uniform. The dimensions shown are 60 m between levels, 4…
- Question 60 – A mining project has real return 14% and inflation 5.5%. Find nominal return in percent, to two decimals.
- Question 61 – For the same 1200 kg charge per delay, PPV is 112.5 mm/s at 100 m and 20.3 mm/s at 300 m. Assume PPV=K(D/ Q)-. Find PPV at 200 m, to two decimals.
- Question 62 – A 35 kW motor drives a 600 mm pulley at 400 rpm. Belt tensions satisfy Ttight=2.5Tslack. Maximum tension is 8 N per mm belt width. Find minimum belt…
- Question 63 – Replace a winding rope in the shown 1.2 m drum/sheave system. Shaft depth 215 m, headgear 32 m, slope span 45.5 m and sheave contact 120°. Allow 1 m…
- Question 64 – A continuous miner cuts a 5×3 m face with 0.6 m web, one full-height web each 9 min. Two shuttle cars each hold 10 tonnes at fill factor 0.9 and have…
- Question 65 – Twelve detonators are in series. Each has resistance 1.48 Ω and 1.5 m lead wire of 0.04 Ω/m. The blasting cable is 120 m long and each conductor has…