The GATE Grind

GATE Quality and Reliability: Quality Management – Previous Year Questions

11 GATE previous year questions on Quality Management (Quality and Reliability, Production and Industrial Engineering) with answers and explanations, from every paper.

  1. GATE 2021 PI Q13 (1 mark, Multiple choice) – For a single-sampling attribute plan with acceptance number zero and sample size at most ten, which form describes the operating-characteristic curve?
  2. GATE 2021 PI Q36 (2 marks, Multiple choice) – Four independent out-of-control rules are used simultaneously. Their Type-I error probabilities are 0.005,0.02,0.03,0.05. Find overall Type-I error…
  3. GATE 2021 PI Q37 (2 marks, Multiple choice) – An in-control process has estimated standard deviation 2 mm and specifications 120 ± 8 mm. Its mean shifts to 118 mm. Find C p and C pk, respectively.
  4. GATE 2022 PI Q19 (1 mark, Multiple choice) – Which control chart tracks the number of defects in a welded joint?
  5. GATE 2022 PI Q43 (2 marks, Multiple choice) – Four products P,Q,R,S each have batch size 2 × 10⁷. Defective counts are 60,71,80,55 respectively. Which statement is true?
  6. GATE 2022 PI Q57 (2 marks, Numerical answer) – Five samples of 80 mobile screens have defective counts 4,10,5,6,5. Find the p-chart upper control limit using ±3σ, as fraction defective to two…
  7. GATE 2023 PI Q33 (1 mark, Numerical answer) – Thirty samples of size 100 contain 420 total nonconformities. Find the lower control limit of the control chart for number of nonconformities, to two…
  8. GATE 2024 PI Q44 (2 marks, Multiple select) – For an acceptance-sampling plan, which ONE OR MORE statements are true?
  9. GATE 2025 PI Q34 (1 mark, Numerical answer) – Fifteen gearbox features are critical to quality. Of 40000 gearboxes produced last quarter, 1500 defects occurred in these features. Find DPMO…
  10. GATE 2025 PI Q62 (2 marks, Numerical answer) – A broach produces key slots of mean size 10.56 mm and standard deviation 0.05 mm. For sample size five, find the X-bar chart upper control limit (two…
  11. GATE 2026 PI Q49 (2 marks, Multiple select) – For the ideal OC curve shown, p₀ is acceptable quality level (AQL) and p₁ is lot tolerance percent defective (LTPD). Which ONE OR MORE statements are…