The GATE Grind

GATE Operations Research and Operations Management: Production Control – Previous Year Questions

18 GATE previous year questions on Production Control (Operations Research and Operations Management, Production and Industrial Engineering) with answers and explanations, from every paper.

  1. GATE 2021 PI Q15 (1 mark, Multiple choice) – Which is NOT a measure of forecast error?
  2. GATE 2021 PI Q40 (2 marks, Multiple choice) – In classical EOQ, Q is optimal order quantity and C is minimum annual ordering-plus-holding cost. If quantity is incorrectly set to Q′ = 2Q, find…
  3. GATE 2021 PI Q49 (2 marks, Numerical answer) – Four jobs A,B,C,D are available on day 1 for a single CNC machine. Processing times (days) are 8,5,7,9 and due days 14,10,12,19 respectively. Using…
  4. GATE 2022 PI Q59 (2 marks, Numerical answer) – A company procures 384 parts annually. Annual holding cost is ₹30/part; ordering cost is ₹1000/order. Find EOQ (integer).
  5. GATE 2022 PI Q61 (2 marks, Numerical answer) – A component passes sequentially through five workstations with cycle times 85,55,90,65,70 seconds. Find steady-state mass-production output per hour…
  6. GATE 2022 PI Q65 (2 marks, Numerical answer) – Weekly oxygen-cylinder demand is forecast using exponential smoothing, α = 0.2. Actual demands in weeks 1–4 are 375,412,592,439; forecast for week 3…
  7. GATE 2023 PI Q20 (1 mark, Multiple choice) – Which forecasting method is qualitative?
  8. GATE 2023 PI Q40 (2 marks, Multiple choice) – Six jobs require drilling followed by reaming. Processing times (drilling, reaming), in minutes, are 1:(30,45), 2:(30,15), 3:(60,40), 4:(20,25),…
  9. GATE 2023 PI Q51 (2 marks, Numerical answer) – Product P has annual demand 2500 units, ordering cost ₹60/order and annual holding cost ₹30/unit. Q has demand 3600, ordering cost ₹80 and holding…
  10. GATE 2024 PI Q25 (1 mark, Multiple choice) – Which forecasting method needs the least historical data?
  11. GATE 2024 PI Q30 (1 mark, Multiple select) – Which ONE OR MORE are supply-chain decision areas?
  12. GATE 2024 PI Q64 (2 marks, Numerical answer) – An item uses classical EOQ. Ordering cost per order rises 20% and demand rate also rises 20%. By what percentage does time between orders increase…
  13. GATE 2024 PI Q65 (2 marks, Numerical answer) – Jobs A,B,C,D,E are ready at t = 0 and take 9,6,4,5,8 days respectively on one machine. Under SPT, find average flow time (one decimal days).
  14. GATE 2025 PI Q33 (1 mark, Numerical answer) – Annual demand is 2000 bulbs, ordering cost ₹300/order and annual holding cost ₹30/bulb. Find EOQ (integer bulbs).
  15. GATE 2025 PI Q60 (2 marks, Numerical answer) – Annual demand is 5000 units, ordering cost ₹400/order and annual holding rate 30% of unit price. All-units prices are ₹10 for Q < 1200, ₹8 for 1200 ≤…
  16. GATE 2026 PI Q23 (1 mark, Multiple choice) – Which is NOT an assumption of the economic order quantity (EOQ) model?
  17. GATE 2026 PI Q35 (1 mark, Numerical answer) – A toy-car plant has monthly demands: September 8000; October 6500; November 10500; December 9500 units. It can use ONLY in-house production,…
  18. GATE 2026 PI Q59 (2 marks, Numerical answer) – A central server processes one program at a time. Four programs are ready at 10:00 am. Programs 1,2,3,4 take 60,40,90,100 minutes, with same-day due…