The GATE Grind

GATE Measurements: Errors and uncertainty – Previous Year Questions

10 GATE previous year questions on Errors and uncertainty (Measurements, Instrumentation Engineering) with answers and explanations, from every paper.

  1. GATE 2021 IN Q15 (1 mark, Multiple choice) – In an AC mains, measured rms voltage is 100 V ±1%, rms current 1 A ±1%, and power 50 W ±2%, with errors relative to readings. The percentage limiting…
  2. GATE 2021 IN Q30 (1 mark, Numerical answer) – A piezoresistive pressure sensor has sensitivity 1 (mV/V)/kPa and DC excitation 10 V. Its output is read using a 3½-digit digital multimeter on the…
  3. GATE 2022 IN Q20 (1 mark, Multiple choice) – The resistance of a pure copper wire of length 10 cm and diameter 1 mm is to be measured. The most suitable method from amongst the choices given…
  4. GATE 2023 IN Q53 (2 marks, Numerical answer) – Five measurements are made using a weighing machine, and the readings are 80 kg, 79 kg, 81 kg, 79 kg and 81 kg. The sample standard deviation of the…
  5. GATE 2023 IN Q64 (2 marks, Numerical answer) – A 1.999 V true-RMS 312-digit multimeter has accuracy ±0.1% of reading ±2 digits. It measures 100 A RMS line current through a 100:5 Class-1 current…
  6. GATE 2024 IN Q28 (1 mark, Numerical answer) – A 20 kΩ resistor is measured six consecutive times using an LCR meter. The first five readings are 19, 18, 23, 21, and 17 kΩ. If the mean equals the…
  7. GATE 2024 IN Q37 (2 marks, Multiple choice) – The measured values from a flow instrument, whose range is between 0 and 2 flow units, are shown in the histogram. The systematic error (bias) and the…
  8. GATE 2024 IN Q50 (2 marks, Numerical answer) – A 20-psig pressure gauge gives the following readings. Its regression line is y=0.04x+10.32. The coefficient of determination R2 is (three decimal…
  9. GATE 2025 IN Q23 (1 mark, Multiple choice) – A 312-digit digital voltmeter has specified accuracy (0.5\%+1). If it measures 10 V DC, the error would be . Accuracy is expressed as (\% of…
  10. GATE 2026 IN Q29 (1 mark, Multiple select) – In a linear element, the measured current is 100\ mA2.5\% and the measured voltage is 5\ V5\%. Which of the following options show(s) the consumed…