The GATE Grind

GATE Measurements and Control Systems: Measurement Errors and Uncertainty – Previous Year Questions

6 GATE previous year questions on Measurement Errors and Uncertainty (Measurements and Control Systems, Biomedical Engineering) with answers and explanations, from every paper.

  1. GATE 2021 BM Q45 (2 marks, Multiple choice) – An ideal 5 V source drives two series 100 Ω resistors, and voltmeters V1,V2 measure the drop across one. At five times, V1 readings are…
  2. GATE 2022 BM Q58 (2 marks, Numerical answer) – Three independent sensor measurements (mean ± standard deviation) are 4.52±0.02 V, 4.21±0.20 V and 3.96±0.15 V. Find uncertainty of their sum in V to…
  3. GATE 2023 BM Q37 (2 marks, Multiple choice) – A 20 mV DC signal is superimposed with 10 mV RMS Gaussian noise whose spectrum is flat up to 5 kHz. An integrating voltmeter measures the DC signal.…
  4. GATE 2024 BM Q32 (1 mark, Numerical answer) – Measured current is 5 A and voltage 20 V. Each instrument has 1% uncertainty. Find maximum first-order error in the estimated impedance, nearest…
  5. GATE 2025 BM Q35 (1 mark, Multiple choice) – A test EEG device measures 2.4 μV while a reference measures 3.0 μV. Find the magnitude of percentage error of the test device.
  6. GATE 2026 BM Q56 (2 marks, Numerical answer) – Resistance is 60±2 Ω and measured voltage across it is 120±10 mV. Estimate uncertainty of dissipated power in mW, rounded to one decimal place.