The GATE Grind

GATE Quality and Reliability: Metrology and Inspection – Previous Year Questions

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

  1. GATE 2021 PI Q21 (1 mark, Multiple choice) – Match features P:surface-plate flatness error; Q:cam profile; R:machine-tool slideway alignment error; S:screw-thread pitch and angle errors, with…
  2. GATE 2021 PI Q44 (2 marks, Multiple choice) – A hole is 30 mm with upper/lower deviations +0.040/0.000 mm. Its mating shaft has minimum clearance 0.01 mm and tolerance 0.03 mm. Find maximum…
  3. GATE 2021 PI Q45 (2 marks, Multiple choice) – GO and NO GO snap gauges are specified for a shaft 36.000 mm with deviations +0.070/+0.010 mm. Gauge tolerance is 5% of the stated “hole tolerance”.…
  4. GATE 2022 PI Q31 (1 mark, Numerical answer) – Absolute surface deviations from a datum line are 10,15,12,10,13,12,20,25 µm. Find RMS roughness in µm to one decimal.
  5. GATE 2022 PI Q42 (2 marks, Multiple choice) – An assembly has hole size 25.000 mm with upper/lower deviations +0.002/−0.001 mm and shaft size 25.000 mm with deviations +0.001/−0.003 mm. Identify…
  6. GATE 2022 PI Q56 (2 marks, Numerical answer) – Two spherical steel balls of diameters 3 and 4 cm are placed in a cylindrical cavity as shown. The bigger ball is above the smaller one. Cavity depth…
  7. GATE 2023 PI Q23 (1 mark, Multiple choice) – The surface-texture symbol is shown, with all values in µm. Find the difference between maximum and minimum surface roughness Rₐ.
  8. GATE 2024 PI Q57 (2 marks, Numerical answer) – A single-start metric thread has calculated pitch 1.4 mm from a two-wire pitch-diameter measurement. Find best-wire diameter (two decimal mm).
  9. GATE 2025 PI Q35 (1 mark, Numerical answer) – Hole dimensions are 30+0.04 -0.02 mm and shaft dimensions 30+0.06 +0.03 mm. Find maximum possible clearance (two decimal mm).
  10. GATE 2025 PI Q61 (2 marks, Numerical answer) – A vernier’s zero lies between main divisions 20 and 21; its fourth division coincides with a main division. Five vernier divisions equal four main…
  11. GATE 2026 PI Q17 (1 mark, Multiple choice) – Match instruments P: sine bar; Q: profilometer; R: vernier calliper; S: ring GO gauge, with applications 1: milled planar-surface roughness; 2:…
  12. GATE 2026 PI Q40 (2 marks, Multiple choice) – A student determines flatness and parallelism of a part’s top surface from the shown cross-section, uniform in Z. Which statement is correct?
  13. GATE 2026 PI Q54 (2 marks, Numerical answer) – A 2D stylus profilometer measures a 0.8 mm surface profile. The graph uses vertical magnification 10000 and horizontal magnification 100. Areas…
  14. GATE 2026 PI Q63 (2 marks, Numerical answer) – All sizes are mm. Hole limits are 22+0.018 +0.010 and shaft limits are 22+0.075 +0.004. Find clearance magnitude when shaft is at minimum material…