City Guilds Model Questions Vol1 2025 Engineering Question 16

Practice objective / multiple choice question 16 from the 2025 City Guilds Model Questions Vol1 Engineering examination.

City Guilds Model Questions Vol1 2025 Engineering Objective / Multiple Choice Hard Difficulty
Question 16 CITY_GUILDS_MODEL_QUESTIONS_VOL1 • 2025 • ENGINEERING • objective

A steel rod has a nominal length of \(2.500\) m. Two independent measurements are taken: Instrument A reads \(2.4987\) m with a stated uncertainty of \(\pm0.2\) mm, and Instrument B reads \(2.5003\) m with an uncertainty of \(\pm0.15\) mm. Using inverse‑variance weighting, determine the combined best estimate of the length and its combined uncertainty. Then state whether the rod satisfies the tolerance of \(\pm0.3\) mm about the nominal length.

Answer Options

Correct Answer A. Yes, the rod meets the tolerance; weighted average length = 2.4997 m (±0.12 mm).
B. Yes, the rod meets the tolerance; weighted average length = 2.4985 m (±0.10 mm).
C. No, the rod does not meet the tolerance; weighted average length = 2.5010 m (±0.20 mm).
D. No, the rod does not meet the tolerance; weighted average length = 2.5002 m (±0.15 mm).
Correct Answer
A
Correct Option:
Yes, the rod meets the tolerance; weighted average length = 2.4997 m (±0.12 mm).

About This Question

This is City Guilds Model Questions Vol1 2025 Engineering Question 16. It is one of the objective questions from the 2025 City Guilds Model Questions Vol1 Engineering examination.

Difficulty level: Hard .

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