The GATE Grind

GATE Quality and Reliability: Reliability and Maintenance – Previous Year Questions

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

  1. GATE 2021 PI Q11 (1 mark, Multiple choice) – A product has exponential time to failure with constant failure rate 0.00006 per hour. Find reliability after 4000 operating hours.
  2. GATE 2021 PI Q38 (2 marks, Multiple choice) – Identical independent components form a parallel system of reliability 0.97. Each component reliability is 0.68. Find the number of components; round…
  3. GATE 2022 PI Q32 (1 mark, Numerical answer) – A machine has two motors but needs only one to function. Their reliabilities are 0.90 and 0.70. Find machine reliability to two decimals.
  4. GATE 2022 PI Q58 (2 marks, Numerical answer) – A factory uses 100 bulbs and individually replaces failures at ₹300 each. Cumulative failure probabilities at 1,2,3,4,5 months are…
  5. GATE 2023 PI Q52 (2 marks, Numerical answer) – The shown system has seven components with reliabilities R A = 0.96, R B = 0.92, R C = 0.94, R D = 0.89, R E = 0.95, R F = 0.88 and R G = 0.90. Find…
  6. GATE 2023 PI Q54 (2 marks, Numerical answer) – A system has 10 essential components, each with exponential failure rate 0.04 per 4000 hours. Find system mean time to failure in hours (integer).
  7. GATE 2024 PI Q26 (1 mark, Multiple choice) – Which statement is NOT true about Total Productive Maintenance (TPM)?
  8. GATE 2024 PI Q60 (2 marks, Numerical answer) – A repairable machine operates 2400 hours in a year and breaks down eight times. Mean repair time including waiting is 20 hours. If it were reduced to…
  9. GATE 2025 PI Q17 (1 mark, Multiple choice) – An aircraft has two engines, each of reliability R. It crashes only if both stop. Find reliability against a crash.
  10. GATE 2025 PI Q63 (2 marks, Numerical answer) – A machine costs ₹70000. End-of-year resale values for years 1–5 are ₹40000,30000,25000,22000,20000; annual maintenance costs are…
  11. GATE 2026 PI Q41 (2 marks, Multiple choice) – The failure-rate function is r(t)=f(t)/(1-F(t)), where f is the failure-time density and F(t)=1-e-atb, a > 0, b > 0. Find r(t).