GATE Mineral Economics, Mine Planning, Systems Engineering: Systems Engineering – Previous Year Questions
23 GATE previous year questions on Systems Engineering (Mineral Economics, Mine Planning, Systems Engineering, Mining Engineering) with answers and explanations, from every paper.
- GATE 2021 MN Q34 – Four independent components are connected in parallel, with reliabilities 0.40, 0.60, 0.50, 0.40. Find system reliability, to three decimals.
- GATE 2021 MN Q58 – Of 25 roof-bolter operators, 13 were injured and 12 not injured. Of 107 loader operators, 35 were injured and 72 not injured. Find injury odds ratio…
- GATE 2021 MN Q60 – A project has activities(duration days; predecessors): A(3; none), B(4; none), C(5; A, B), D(6; B), E(7; D), F(8; C, E), G(9; D), H(X; F, G). Total…
- GATE 2021 MN Q61 – A truck travelling at x km/h consumes fuel at 20+x²/50 L/hour. Fuel costs₹70/L and other costs₹500/hour. It travels 100 km. Find the speed minimising…
- GATE 2021 MN Q62 – Three cement factories supply 600, 100, 1000 t/day. Demands at D 1, D 2, D 3, D 4 are 700, 500, 300, 200 t/day. Unit transport costs are F 1:[20, 30,…
- GATE 2022 MN Q30 – 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…
- GATE 2022 MN Q41 – 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…
- GATE 2022 MN Q65 – 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,…
- GATE 2023 MN Q19 – Maximise Z=4x 1+2x 2 subject to 2x 1-2x 220, 4x 180, and x 1,x 20. Classify the solution.
- GATE 2023 MN Q22 – Which statement about classical project scheduling techniques is correct?
- GATE 2023 MN Q36 – 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…
- GATE 2023 MN Q54 – 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…
- GATE 2023 MN Q57 – 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).…
- GATE 2023 MN Q58 – 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),…
- GATE 2023 MN Q59 – 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…
- GATE 2024 MN Q19 – 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.
- GATE 2024 MN Q20 – 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…
- GATE 2024 MN Q36 – 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…
- GATE 2024 MN Q46 – The conveyor network has two independent parallel belts before an ore bin and two independent parallel belts after it, as shown. Every belt has…
- GATE 2025 MN Q37 – 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;…
- GATE 2026 MN Q31 – Activities in the project network are labelled(expected days,standard deviation in days). Find the standard deviation of project completion time to…
- GATE 2026 MN Q42 – Dumpers arrive exponentially at5/hour and loading times are exponential. Waiting cost is₹200 per dumper-hour. Shovels S1,S2,S3,S4 have operating…
- GATE 2026 MN Q47 – Assign four jobs J1–J4 to engineers S1–S4, one job each. Costs by row are S1:(50,50,unavailable,20); S2:(70,40,20,70); S3:(90,30,50,unavailable);…