The GATE Grind

GATE Mineral Economics, Mine Planning, Systems Engineering: Mine Planning – Previous Year Questions

13 GATE previous year questions on Mine Planning (Mineral Economics, Mine Planning, Systems Engineering, Mining Engineering) with answers and explanations, from every paper.

  1. GATE 2021 MN Q63 (2 marks, Numerical answer) – Ultimate-pit cumulative million tonnes below Cu grades 0.1%, 0.4%, 0.5%, 0.6%, 0.7%, 0.9%+ are 0, 15, 17, 18, 19, 23. Mill cutoff is 0.5% Cu. Mining…
  2. GATE 2022 MN Q15 (1 mark, Multiple choice) – A deposit has grade X in [0, 30] with probability density f(x). At cutoff grade x c, what proportion is ore?
  3. GATE 2022 MN Q18 (1 mark, Multiple choice) – Identify the WRONG statement. Break-even stripping ratio:
  4. GATE 2022 MN Q39 (2 marks, Multiple choice) – 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…
  5. GATE 2022 MN Q63 (2 marks, Numerical answer) – 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…
  6. GATE 2023 MN Q28 (1 mark, Numerical answer) – 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…
  7. GATE 2024 MN Q18 (1 mark, Multiple choice) – 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.
  8. GATE 2024 MN Q25 (1 mark, Multiple choice) – 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…
  9. GATE 2024 MN Q58 (2 marks, Numerical answer) – 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.…
  10. GATE 2025 MN Q35 (1 mark, Numerical answer) – 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…
  11. GATE 2025 MN Q45 (2 marks, Numerical answer) – A ringhole round targets2500 tonnes at8% metal but breaks only90%. Overbreak adds250 tonnes of wallrock at0.5% metal. If95% of the resulting muck is…
  12. GATE 2025 MN Q59 (2 marks, Numerical answer) – 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…
  13. GATE 2026 MN Q46 (2 marks, Numerical answer) – The exploratory boreholes and their influence polygons are shown. With equal density assumed, estimate average deposit grade in percent to two…